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Pavliotis, Grigorios A.

Co-Author Distance
Author ID: pavliotis.grigorios-a Recent zbMATH articles by "Pavliotis, Grigorios A."
Published as: Pavliotis, G. A.; Pavliotis, Grigorios A.; Pavliotis, Grigorios
Documents Indexed: 104 Publications since 2002, including 2 Books and 15 Additional arXiv Preprints
Co-Authors: 100 Co-Authors with 97 Joint Publications
2,612 Co-Co-Authors
all top 5

Co-Authors

3 single-authored
14 Kalliadasis, Serafim
14 Stuart, Andrew M.
6 Duncan, Andrew B.
6 Goddard, Benjamin D.
6 Papageorgiou, Demetrios T.
6 Pradas, Marc
6 Vaes, Urbain
5 Abdulle, Assyr
5 Da Costa, Lancelot
5 Gomes, Susana N.
5 Hairer, Martin
5 Kantas, Nikolas
5 Stoltz, Gabriel
5 Zanoni, Andrea
4 Carrillo de la Plata, José Antonio
4 Delgadino, Matias Gonzalo
4 Friston, Karl J.
4 Gvalani, Rishabh S.
4 Lelièvre, Tony
4 Ottobre, Michela
4 Schmuck, Markus
3 Blömker, Dirk
3 Heins, Conor
3 Latorre, Juan Cristobal
3 Lucarini, Valerio
3 Parpas, Panos
3 Parr, Thomas
3 Savva, Nikos
3 Zagli, Niccolò
2 Borovykh, Anastasia
2 Chak, Martin
2 Duong, Manh Hong
2 Girolami, Mark A.
2 Kevrekidis, Ioannis George
2 Kramer, Peter Roland
2 Krumscheid, Sebastian
2 Mills-Williams, Rory D.
2 Nüsken, N.
2 Pravda-Starov, Karel
2 Tomlin, Ruben J.
2 Zygalakis, Konstantinos C.
1 Alecio, Alexander
1 Band, Leah R.
1 Barp, Alessandro
1 Bertoli, Benedetta
1 Bicego, Sara
1 Bonnaillie-Noël, Virginie
1 Coti Zelati, Michele
1 Cotter, Colin John
1 Craster, Richard V.
1 Cuthbertson, Charles
1 Da Costa, Nathaël
1 Diamantakis, Theo
1 Durán-Olivencia, Miguel A.
1 Ellam, Louis
1 Elliott, Charles M.
1 Evangelou, Nikolaos
1 Garegnani, Giacomo
1 Gibbon, John D.
1 Giovanis, Dimitrios G.
1 Gooding, B.
1 Goudon, Thierry
1 Guenneau, Sebastien R. L.
1 Hartmann, Carsten
1 Holm, Darryl Dallas
1 Holmes, Mark H.
1 Hutridurga, H. R.
1 Jordan, Michael Irwin
1 Joubaud, Rémi
1 Kalise, Dante
1 Kevrekidis, George A.
1 Medrano, Johan
1 Meera, Ajith Anil
1 Montefusco, Alberto
1 Nier, Francis
1 Nold, Andreas
1 Nolen, James
1 Olhede, Sofia Charlotta
1 Papaefthymiou, E. S.
1 Pokern, Yvo
1 Pozharskiy, Dmitry
1 Pruessner, Gunnar
1 Rafailidis, Avraam
1 Ramstead, Maxwell J. D.
1 Reich, Sebastian
1 Robin, Geneviève
1 Rubin, Katy J.
1 Sadeghi, Mohsen
1 Sajid, Noor
1 Sakthivadivel, Dalton A R
1 Santet, Régis
1 Schlichting, André
1 Schütte, Christof
1 Sharrock, Louis
1 Smith, Scott A.
1 Spacek, Renato
1 Sykulski, Adam M.
1 Thiffeault, Jean-Luc
1 Tseluiko, Dmitri
1 Ueltzhöffer, Kai
...and 7 more Co-Authors
all top 5

Serials

10 Journal of Statistical Physics
8 Multiscale Modeling & Simulation
5 IMA Journal of Applied Mathematics
5 SIAM Journal on Applied Dynamical Systems
4 Journal of Computational Physics
4 Journal of Fluid Mechanics
4 Physica D
4 SIAM/ASA Journal on Uncertainty Quantification
3 Nonlinearity
3 Journal of Nonlinear Science
3 Communications in Mathematical Sciences
3 Journal of Physics A: Mathematical and Theoretical
2 Archive for Rational Mechanics and Analysis
2 Communications in Mathematical Physics
2 Journal of Functional Analysis
2 Stochastic Processes and their Applications
2 Texts in Applied Mathematics
2 Journal of Computational Dynamics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 IMA Journal of Numerical Analysis
1 Journal of Engineering Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Physics Letters. A
1 Physics Reports
1 Applied Mathematics Letters
1 European Journal of Applied Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 International Journal of Theoretical and Applied Finance
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Statistics and Computing
all top 5

Fields

48 Probability theory and stochastic processes (60-XX)
37 Partial differential equations (35-XX)
28 Statistical mechanics, structure of matter (82-XX)
24 Numerical analysis (65-XX)
17 Fluid mechanics (76-XX)
15 Statistics (62-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Operations research, mathematical programming (90-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Ordinary differential equations (34-XX)
3 Operator theory (47-XX)
3 Mechanics of deformable solids (74-XX)
3 Geophysics (86-XX)
3 Systems theory; control (93-XX)
2 Functional analysis (46-XX)
1 Measure and integration (28-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Quantum theory (81-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

83 Publications have been cited 1,424 times in 972 Documents Cited by ▼ Year ▼
Multiscale methods. Averaging and homogenization. Zbl 1160.35006
Pavliotis, Grigorios A.; Stuart, Andrew M.
376
2008
Stochastic processes and applications. Diffusion processes, the Fokker-Planck and Langevin equations. Zbl 1318.60003
Pavliotis, Grigorios A.
280
2014
Variance reduction using nonreversible Langevin samplers. Zbl 1343.82036
Duncan, A. B.; Lelièvre, T.; Pavliotis, G. A.
54
2016
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A.
53
2013
Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus. Zbl 1436.58025
Carrillo, J. A.; Gvalani, R. S.; Pavliotis, G. A.; Schlichting, A.
46
2020
Parameter estimation for multiscale diffusions. Zbl 1137.82016
Pavliotis, G. A.; Stuart, A. M.
43
2007
Asymptotic analysis for the generalized Langevin equation. Zbl 1221.82076
Ottobre, M.; Pavliotis, G. A.
38
2011
Maximum likelihood drift estimation for multiscale diffusions. Zbl 1171.62047
Papavasiliou, A.; Pavliotis, G. A.; Stuart, A. M.
29
2009
Exponential return to equilibrium for hypoelliptic quadratic systems. Zbl 1256.47032
Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K.
28
2012
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004
Blömker, D.; Hairer, M.; Pavliotis, G. A.
27
2007
Mean field limits for interacting diffusions in a two-scale potential. Zbl 1394.35494
Gomes, S. N.; Pavliotis, G. A.
25
2018
Derivation of effective macroscopic Stokes-Cahn-Hilliard equations for periodic immiscible flows in porous media. Zbl 1302.76184
Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim
21
2013
White noise limits for inertial particles in a random field. Zbl 1038.60060
Pavliotis, G. A.; Stuart, A. M.
20
2003
Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026
Hairer, M.; Pavliotis, G. A.
20
2004
Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control. Zbl 1406.35276
Gomes, Susana N.; Papageorgiou, Demetrios T.; Pavliotis, Grigorios A.
20
2017
Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038
Blömker, D.; Hairer, M.; Pavliotis, G. A.
19
2005
From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015
Hairer, M.; Pavliotis, G. A.
18
2008
On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions. Zbl 07364831
Delgadino, Matias G.; Gvalani, Rishabh S.; Pavliotis, Grigorios A.
16
2021
Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains. Zbl 1371.76141
Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim
15
2012
The overdamped limit of dynamic density functional theory: rigorous results. Zbl 1264.82090
Goddard, B. D.; Pavliotis, G. A.; Kalliadasis, S.
15
2012
Using perturbed underdamped Langevin dynamics to efficiently sample from probability distributions. Zbl 1387.35580
Duncan, A. B.; Nüsken, N.; Pavliotis, G. A.
15
2017
Optimizing the source distribution in fluid mixing. Zbl 1388.76088
Thiffeault, Jean-Luc; Pavliotis, Grigorios A.
15
2008
Semiparametric drift and diffusion estimation for multiscale diffusions. Zbl 1411.60085
Krumscheid, S.; Pavliotis, G. A.; Kalliadasis, S.
15
2013
Periodic homogenization for inertial particles. Zbl 1100.82023
Pavliotis, G. A.; Stuart, A. M.
14
2005
Multiscale modelling and inverse problems. Zbl 1245.76107
Nolen, James; Pavliotis, Grigorios A.; Stuart, Andrew M.
13
2012
Analysis of white noise limits for stochastic systems with two fast relaxation times. Zbl 1091.60006
Pavliotis, G. A.; Stuart, A. M.
12
2005
Numerical methods for stochastic partial differential equations with multiple scales. Zbl 1429.65013
Abdulle, A.; Pavliotis, G. A.
12
2012
Spectral methods for multiscale stochastic differential equations. Zbl 1398.65313
Abdulle, Assyr; Pavliotis, G. A.; Vaes, U.
12
2017
A new mode reduction strategy for the generalized Kuramoto-Sivashinsky equation. Zbl 1328.35238
Schmuck, M.; Pradas, M.; Pavliotis, G. A.; Kalliadasis, S.
11
2015
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions. Zbl 1486.91063
Goddard, B. D.; Gooding, B.; Short, H.; Pavliotis, G. A.
11
2022
Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators. Zbl 1316.35092
Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K.
10
2015
Corrections to Einstein’s relation for Brownian motion in a tilted periodic potential. Zbl 1268.82025
Latorre, J. C.; Pavliotis, G. A.; Kramer, P. R.
10
2013
Additive noise effects in active nonlinear spatially extended systems. Zbl 1279.60081
Pradas, M.; Pavliotis, G. A.; Kalliadasis, S.; Papageorgiou, D. T.; Tseluiko, D.
10
2012
A new framework for extracting coarse-grained models from time series with multiscale structure. Zbl 1352.62136
Kalliadasis, S.; Krumscheid, S.; Pavliotis, G. A.
10
2015
Asymptotic analysis of the Green-Kubo formula. Zbl 1223.35045
Pavliotis, G. A.
10
2010
Calculating effective diffusivities in the limit of vanishing molecular diffusion. Zbl 1161.65007
Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C.
10
2009
Instability, rupture and fluctuations in thin liquid films: theory and computations. Zbl 1412.82033
Durán-Olivencia, Miguel A.; Gvalani, Rishabh S.; Kalliadasis, Serafim; Pavliotis, Grigorios A.
9
2019
Mean field limits for non-Markovian interacting particles: convergence to equilibrium, generic formalism, asymptotic limits and phase transitions. Zbl 1411.35135
Duong, Manh Hong; Pavliotis, Grigorios A.
9
2018
Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187
Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A.
8
2014
Frequency domain estimation of integrated volatility for Itô processes in the presence of market-microstructure noise. Zbl 1190.62182
Olhede, S. C.; Sykulski, A. M.; Pavliotis, G. A.
8
2010
Three-dimensional wave evolution on electrified falling films. Zbl 1383.76553
Tomlin, R. J.; Papageorgiou, D. T.; Pavliotis, G. A.
7
2017
Scaling limits for the generalized Langevin equation. Zbl 1473.35057
Pavliotis, G. A.; Stoltz, G.; Vaes, U.
7
2021
Estimating eddy diffusivities from noisy Lagrangian observations. Zbl 1183.62143
Cotter, C. J.; Pavliotis, G. A.
7
2009
Homogenization for inertial particles in a random flow. Zbl 1133.60338
Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C.
7
2007
A \(\lambda\)-convexity based proof for the propagation of chaos for weakly interacting stochastic particles. Zbl 1459.60005
Carrillo, J. A.; Delgadino, M. G.; Pavliotis, G. A.
7
2020
Contact lines over random topographical substrates. I: Statics. Zbl 1225.76284
Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim
6
2011
A multiscale approach to Brownian motors. Zbl 1194.60057
Pavliotis, G. A.
6
2005
Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009
Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A.
6
2016
Online parameter estimation for the McKean-Vlasov stochastic differential equation. Zbl 1518.60033
Sharrock, Louis; Kantas, Nikolas; Parpas, Panos; Pavliotis, Grigorios A.
6
2023
Langevin dynamics with space-time periodic nonequilibrium forcing. Zbl 1317.82042
Joubaud, R.; Pavliotis, G. A.; Stoltz, G.
6
2015
Parameter estimation for multiscale diffusions: an overview. Zbl 1375.62022
Pavliotis, Grigorios A.; Pokern, Yvo; Stuart, Andrew M.
5
2012
Cloaking via mapping for the heat equation. Zbl 1401.35142
Craster, R. V.; Guenneau, Sebastien R. L.; Hutridurga, H. R.; Pavliotis, G. A.
5
2018
On stochastic mirror descent with interacting particles: convergence properties and variance reduction. Zbl 1498.90155
Borovykh, A.; Kantas, N.; Parpas, P.; Pavliotis, G. A.
5
2021
Derivative-free Bayesian inversion using multiscale dynamics. Zbl 1493.62132
Pavliotis, G. A.; Stuart, A. M.; Vaes, U.
5
2022
Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions. Zbl 07700884
Delgadino, Matías G.; Gvalani, Rishabh S.; Pavliotis, Grigorios A.; Smith, Scott A.
5
2023
Effective macroscopic interfacial transport equations in strongly heterogeneous environments for general homogeneous free energies. Zbl 1320.35051
Schmuck, Markus; Pavliotis, Grigorios A.; Kalliadasis, Serafim
4
2014
Nonlinear interfacial dynamics in stratified multilayer channel flows. Zbl 1294.76105
Papaefthymiou, E. S.; Papageorgiou, D. T.; Pavliotis, G. A.
4
2013
Contact lines over random topographical substrates. II: Dynamics. Zbl 1225.76285
Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim
4
2011
Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number. Zbl 1144.81348
Gibbon, J. D.; Pavliotis, G. A.
4
2007
Eigenfunction martingale estimators for interacting particle systems and their mean field limit. Zbl 1505.35334
Pavliotis, Grigorios A.; Zanoni, Andrea
4
2022
Geometric methods for sampling, optimization, inference, and adaptive agents. Zbl 1524.62021
Barp, Alessandro; Da Costa, Lancelot; França, Guilherme; Friston, Karl; Girolami, Mark; Jordan, Michael I.; Pavliotis, Grigorios A.
4
2022
Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation. Zbl 1376.93119
Gomes, S. N.; Kalliadasis, S.; Papageorgiou, D. T.; Pavliotis, G. A.; Pradas, M.
4
2017
Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations. (Convergence accélérée vers l’équilibre et variance asymptotique réduite pour la dynamique de Langevin à l’aide de perturbations de Stratonovich.) Zbl 07066212
Abdulle, Assyr; Pavliotis, Grigorios A.; Vilmart, Gilles
4
2019
Optimal control of thin liquid films and transverse mode effects. Zbl 1411.76010
Tomlin, Ruben J.; Gomes, Susana N.; Pavliotis, Grigorios A.; Papageorgiou, Demetrios T.
3
2019
Mean field limits for interacting diffusions with colored noise: phase transitions and spectral numerical methods. Zbl 1453.35165
Gomes, S. N.; Pavliotis, G. A.; Vaes, U.
3
2020
Monte Carlo studies of effective diffusivities for inertial particles. Zbl 1130.76063
Pavliotis, G. A.; Stuart, A. M.; Band, L.
3
2006
Stochastic modelling of urban structure. Zbl 1402.91596
Ellam, L.; Girolami, M.; Pavliotis, G. A.; Wilson, A.
3
2018
A multiscale analysis of diffusions on rapidly varying surfaces. Zbl 1311.35324
Duncan, A. B.; Elliott, C. M.; Pavliotis, G. A.; Stuart, A. M.
2
2015
Mapping multiplicative to additive noise. Zbl 1291.82091
Rubin, Katy J.; Pruessner, Gunnar; Pavliotis, Grigorios A.
2
2014
Some remarks on stabilization by additive noise. Zbl 1279.60076
Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A.
2
2010
A perturbation-based numerical method for solving a three-dimensional axisymmetric indentation problem. Zbl 1036.74040
Pavliotis, Grigorios A.; Holmes, Mark H.
2
2002
Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows. Zbl 1462.35399
Coti Zelati, Michele; Pavliotis, Grigorios A.
2
2020
Response theory and phase transitions for the thermodynamic limit of interacting identical systems. Zbl 1472.82026
Lucarini, Valerio; Pavliotis, Grigorios A.; Zagli, Niccolò
2
2020
Asymptotic analysis for foreign exchange derivatives with stochastic volatility. Zbl 1291.91204
Cuthbertson, Charles; Pavliotis, Grigorios; Rafailidis, Avraam; Wiberg, Petter
2
2010
Drift estimation of multiscale diffusions based on filtered data. Zbl 1534.62124
Abdulle, Assyr; Garegnani, Giacomo; Pavliotis, Grigorios A.; Stuart, Andrew M.; Zanoni, Andrea
2
2023
Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions. Zbl 1484.62001
Abdulle, Assyr; Pavliotis, Grigorios A.; Zanoni, Andrea
2
2022
Manifold learning for accelerating coarse-grained optimization. Zbl 1450.37082
Pozharskiy, Dmitry; Wichrowski, Noah J.; Duncan, Andrew B.; Pavliotis, Grigorios A.; Kevrekidis, Ioannis G.
2
2020
On the generalized Langevin equation for simulated annealing. Zbl 1517.60088
Chak, Martin; Kantas, Nikolas; Pavliotis, Grigorios A.
2
2023
Brownian motion in an \(N\)-scale periodic potential. Zbl 1512.35039
Duncan, A. B.; Duong, M. H.; Pavliotis, G. A.
1
2023
The entropy production of stationary diffusions. Zbl 07735293
Da Costa, Lancelot; Pavliotis, Grigorios A.
1
2023
Constructing sampling schemes via coupling: Markov semigroups and optimal transport. Zbl 1454.60118
Nüsken, N.; Pavliotis, G. A.
1
2019
Variational principles on geometric rough paths and the Lévy area correction. Zbl 1515.60181
Diamantakis, Theo; Holm, Darryl D.; Pavliotis, Grigorios A.
1
2023
Optimal friction matrix for underdamped Langevin sampling. Zbl 1537.60098
Chak, Martin; Kantas, Nikolas; Lelièvre, Tony; Pavliotis, Grigorios A.
1
2023
Online parameter estimation for the McKean-Vlasov stochastic differential equation. Zbl 1518.60033
Sharrock, Louis; Kantas, Nikolas; Parpas, Panos; Pavliotis, Grigorios A.
6
2023
Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions. Zbl 07700884
Delgadino, Matías G.; Gvalani, Rishabh S.; Pavliotis, Grigorios A.; Smith, Scott A.
5
2023
Drift estimation of multiscale diffusions based on filtered data. Zbl 1534.62124
Abdulle, Assyr; Garegnani, Giacomo; Pavliotis, Grigorios A.; Stuart, Andrew M.; Zanoni, Andrea
2
2023
On the generalized Langevin equation for simulated annealing. Zbl 1517.60088
Chak, Martin; Kantas, Nikolas; Pavliotis, Grigorios A.
2
2023
Brownian motion in an \(N\)-scale periodic potential. Zbl 1512.35039
Duncan, A. B.; Duong, M. H.; Pavliotis, G. A.
1
2023
The entropy production of stationary diffusions. Zbl 07735293
Da Costa, Lancelot; Pavliotis, Grigorios A.
1
2023
Variational principles on geometric rough paths and the Lévy area correction. Zbl 1515.60181
Diamantakis, Theo; Holm, Darryl D.; Pavliotis, Grigorios A.
1
2023
Optimal friction matrix for underdamped Langevin sampling. Zbl 1537.60098
Chak, Martin; Kantas, Nikolas; Lelièvre, Tony; Pavliotis, Grigorios A.
1
2023
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions. Zbl 1486.91063
Goddard, B. D.; Gooding, B.; Short, H.; Pavliotis, G. A.
11
2022
Derivative-free Bayesian inversion using multiscale dynamics. Zbl 1493.62132
Pavliotis, G. A.; Stuart, A. M.; Vaes, U.
5
2022
Eigenfunction martingale estimators for interacting particle systems and their mean field limit. Zbl 1505.35334
Pavliotis, Grigorios A.; Zanoni, Andrea
4
2022
Geometric methods for sampling, optimization, inference, and adaptive agents. Zbl 1524.62021
Barp, Alessandro; Da Costa, Lancelot; França, Guilherme; Friston, Karl; Girolami, Mark; Jordan, Michael I.; Pavliotis, Grigorios A.
4
2022
Eigenfunction martingale estimating functions and filtered data for drift estimation of discretely observed multiscale diffusions. Zbl 1484.62001
Abdulle, Assyr; Pavliotis, Grigorios A.; Zanoni, Andrea
2
2022
On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions. Zbl 07364831
Delgadino, Matias G.; Gvalani, Rishabh S.; Pavliotis, Grigorios A.
16
2021
Scaling limits for the generalized Langevin equation. Zbl 1473.35057
Pavliotis, G. A.; Stoltz, G.; Vaes, U.
7
2021
On stochastic mirror descent with interacting particles: convergence properties and variance reduction. Zbl 1498.90155
Borovykh, A.; Kantas, N.; Parpas, P.; Pavliotis, G. A.
5
2021
Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus. Zbl 1436.58025
Carrillo, J. A.; Gvalani, R. S.; Pavliotis, G. A.; Schlichting, A.
46
2020
A \(\lambda\)-convexity based proof for the propagation of chaos for weakly interacting stochastic particles. Zbl 1459.60005
Carrillo, J. A.; Delgadino, M. G.; Pavliotis, G. A.
7
2020
Mean field limits for interacting diffusions with colored noise: phase transitions and spectral numerical methods. Zbl 1453.35165
Gomes, S. N.; Pavliotis, G. A.; Vaes, U.
3
2020
Homogenization and hypocoercivity for Fokker-Planck equations driven by weakly compressible shear flows. Zbl 1462.35399
Coti Zelati, Michele; Pavliotis, Grigorios A.
2
2020
Response theory and phase transitions for the thermodynamic limit of interacting identical systems. Zbl 1472.82026
Lucarini, Valerio; Pavliotis, Grigorios A.; Zagli, Niccolò
2
2020
Manifold learning for accelerating coarse-grained optimization. Zbl 1450.37082
Pozharskiy, Dmitry; Wichrowski, Noah J.; Duncan, Andrew B.; Pavliotis, Grigorios A.; Kevrekidis, Ioannis G.
2
2020
Instability, rupture and fluctuations in thin liquid films: theory and computations. Zbl 1412.82033
Durán-Olivencia, Miguel A.; Gvalani, Rishabh S.; Kalliadasis, Serafim; Pavliotis, Grigorios A.
9
2019
Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations. (Convergence accélérée vers l’équilibre et variance asymptotique réduite pour la dynamique de Langevin à l’aide de perturbations de Stratonovich.) Zbl 07066212
Abdulle, Assyr; Pavliotis, Grigorios A.; Vilmart, Gilles
4
2019
Optimal control of thin liquid films and transverse mode effects. Zbl 1411.76010
Tomlin, Ruben J.; Gomes, Susana N.; Pavliotis, Grigorios A.; Papageorgiou, Demetrios T.
3
2019
Constructing sampling schemes via coupling: Markov semigroups and optimal transport. Zbl 1454.60118
Nüsken, N.; Pavliotis, G. A.
1
2019
Mean field limits for interacting diffusions in a two-scale potential. Zbl 1394.35494
Gomes, S. N.; Pavliotis, G. A.
25
2018
Mean field limits for non-Markovian interacting particles: convergence to equilibrium, generic formalism, asymptotic limits and phase transitions. Zbl 1411.35135
Duong, Manh Hong; Pavliotis, Grigorios A.
9
2018
Cloaking via mapping for the heat equation. Zbl 1401.35142
Craster, R. V.; Guenneau, Sebastien R. L.; Hutridurga, H. R.; Pavliotis, G. A.
5
2018
Stochastic modelling of urban structure. Zbl 1402.91596
Ellam, L.; Girolami, M.; Pavliotis, G. A.; Wilson, A.
3
2018
Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control. Zbl 1406.35276
Gomes, Susana N.; Papageorgiou, Demetrios T.; Pavliotis, Grigorios A.
20
2017
Using perturbed underdamped Langevin dynamics to efficiently sample from probability distributions. Zbl 1387.35580
Duncan, A. B.; Nüsken, N.; Pavliotis, G. A.
15
2017
Spectral methods for multiscale stochastic differential equations. Zbl 1398.65313
Abdulle, Assyr; Pavliotis, G. A.; Vaes, U.
12
2017
Three-dimensional wave evolution on electrified falling films. Zbl 1383.76553
Tomlin, R. J.; Papageorgiou, D. T.; Pavliotis, G. A.
7
2017
Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation. Zbl 1376.93119
Gomes, S. N.; Kalliadasis, S.; Papageorgiou, D. T.; Pavliotis, G. A.; Pradas, M.
4
2017
Variance reduction using nonreversible Langevin samplers. Zbl 1343.82036
Duncan, A. B.; Lelièvre, T.; Pavliotis, G. A.
54
2016
Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009
Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A.
6
2016
A new mode reduction strategy for the generalized Kuramoto-Sivashinsky equation. Zbl 1328.35238
Schmuck, M.; Pradas, M.; Pavliotis, G. A.; Kalliadasis, S.
11
2015
Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators. Zbl 1316.35092
Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K.
10
2015
A new framework for extracting coarse-grained models from time series with multiscale structure. Zbl 1352.62136
Kalliadasis, S.; Krumscheid, S.; Pavliotis, G. A.
10
2015
Langevin dynamics with space-time periodic nonequilibrium forcing. Zbl 1317.82042
Joubaud, R.; Pavliotis, G. A.; Stoltz, G.
6
2015
A multiscale analysis of diffusions on rapidly varying surfaces. Zbl 1311.35324
Duncan, A. B.; Elliott, C. M.; Pavliotis, G. A.; Stuart, A. M.
2
2015
Stochastic processes and applications. Diffusion processes, the Fokker-Planck and Langevin equations. Zbl 1318.60003
Pavliotis, Grigorios A.
280
2014
Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187
Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A.
8
2014
Effective macroscopic interfacial transport equations in strongly heterogeneous environments for general homogeneous free energies. Zbl 1320.35051
Schmuck, Markus; Pavliotis, Grigorios A.; Kalliadasis, Serafim
4
2014
Mapping multiplicative to additive noise. Zbl 1291.82091
Rubin, Katy J.; Pruessner, Gunnar; Pavliotis, Grigorios A.
2
2014
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A.
53
2013
Derivation of effective macroscopic Stokes-Cahn-Hilliard equations for periodic immiscible flows in porous media. Zbl 1302.76184
Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim
21
2013
Semiparametric drift and diffusion estimation for multiscale diffusions. Zbl 1411.60085
Krumscheid, S.; Pavliotis, G. A.; Kalliadasis, S.
15
2013
Corrections to Einstein’s relation for Brownian motion in a tilted periodic potential. Zbl 1268.82025
Latorre, J. C.; Pavliotis, G. A.; Kramer, P. R.
10
2013
Nonlinear interfacial dynamics in stratified multilayer channel flows. Zbl 1294.76105
Papaefthymiou, E. S.; Papageorgiou, D. T.; Pavliotis, G. A.
4
2013
Exponential return to equilibrium for hypoelliptic quadratic systems. Zbl 1256.47032
Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K.
28
2012
Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains. Zbl 1371.76141
Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim
15
2012
The overdamped limit of dynamic density functional theory: rigorous results. Zbl 1264.82090
Goddard, B. D.; Pavliotis, G. A.; Kalliadasis, S.
15
2012
Multiscale modelling and inverse problems. Zbl 1245.76107
Nolen, James; Pavliotis, Grigorios A.; Stuart, Andrew M.
13
2012
Numerical methods for stochastic partial differential equations with multiple scales. Zbl 1429.65013
Abdulle, A.; Pavliotis, G. A.
12
2012
Additive noise effects in active nonlinear spatially extended systems. Zbl 1279.60081
Pradas, M.; Pavliotis, G. A.; Kalliadasis, S.; Papageorgiou, D. T.; Tseluiko, D.
10
2012
Parameter estimation for multiscale diffusions: an overview. Zbl 1375.62022
Pavliotis, Grigorios A.; Pokern, Yvo; Stuart, Andrew M.
5
2012
Asymptotic analysis for the generalized Langevin equation. Zbl 1221.82076
Ottobre, M.; Pavliotis, G. A.
38
2011
Contact lines over random topographical substrates. I: Statics. Zbl 1225.76284
Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim
6
2011
Contact lines over random topographical substrates. II: Dynamics. Zbl 1225.76285
Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim
4
2011
Asymptotic analysis of the Green-Kubo formula. Zbl 1223.35045
Pavliotis, G. A.
10
2010
Frequency domain estimation of integrated volatility for Itô processes in the presence of market-microstructure noise. Zbl 1190.62182
Olhede, S. C.; Sykulski, A. M.; Pavliotis, G. A.
8
2010
Some remarks on stabilization by additive noise. Zbl 1279.60076
Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A.
2
2010
Asymptotic analysis for foreign exchange derivatives with stochastic volatility. Zbl 1291.91204
Cuthbertson, Charles; Pavliotis, Grigorios; Rafailidis, Avraam; Wiberg, Petter
2
2010
Maximum likelihood drift estimation for multiscale diffusions. Zbl 1171.62047
Papavasiliou, A.; Pavliotis, G. A.; Stuart, A. M.
29
2009
Calculating effective diffusivities in the limit of vanishing molecular diffusion. Zbl 1161.65007
Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C.
10
2009
Estimating eddy diffusivities from noisy Lagrangian observations. Zbl 1183.62143
Cotter, C. J.; Pavliotis, G. A.
7
2009
Multiscale methods. Averaging and homogenization. Zbl 1160.35006
Pavliotis, Grigorios A.; Stuart, Andrew M.
376
2008
From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015
Hairer, M.; Pavliotis, G. A.
18
2008
Optimizing the source distribution in fluid mixing. Zbl 1388.76088
Thiffeault, Jean-Luc; Pavliotis, Grigorios A.
15
2008
Parameter estimation for multiscale diffusions. Zbl 1137.82016
Pavliotis, G. A.; Stuart, A. M.
43
2007
Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004
Blömker, D.; Hairer, M.; Pavliotis, G. A.
27
2007
Homogenization for inertial particles in a random flow. Zbl 1133.60338
Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C.
7
2007
Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number. Zbl 1144.81348
Gibbon, J. D.; Pavliotis, G. A.
4
2007
Monte Carlo studies of effective diffusivities for inertial particles. Zbl 1130.76063
Pavliotis, G. A.; Stuart, A. M.; Band, L.
3
2006
Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038
Blömker, D.; Hairer, M.; Pavliotis, G. A.
19
2005
Periodic homogenization for inertial particles. Zbl 1100.82023
Pavliotis, G. A.; Stuart, A. M.
14
2005
Analysis of white noise limits for stochastic systems with two fast relaxation times. Zbl 1091.60006
Pavliotis, G. A.; Stuart, A. M.
12
2005
A multiscale approach to Brownian motors. Zbl 1194.60057
Pavliotis, G. A.
6
2005
Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026
Hairer, M.; Pavliotis, G. A.
20
2004
White noise limits for inertial particles in a random field. Zbl 1038.60060
Pavliotis, G. A.; Stuart, A. M.
20
2003
A perturbation-based numerical method for solving a three-dimensional axisymmetric indentation problem. Zbl 1036.74040
Pavliotis, Grigorios A.; Holmes, Mark H.
2
2002
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Cited by 1,489 Authors

50 Pavliotis, Grigorios A.
23 Stuart, Andrew M.
22 Carrillo de la Plata, José Antonio
19 Kalliadasis, Serafim
19 Spiliopoulos, Konstantinos V.
14 Abdulle, Assyr
14 Duong, Manh Hong
13 Xie, Longjie
11 Bréhier, Charles-Edouard
11 Stoltz, Gabriel
10 Lelièvre, Tony
10 Ottobre, Michela
10 Pravda-Starov, Karel
10 Schütte, Christof
10 Wehr, Jan
9 Duncan, Andrew B.
9 Koltai, Péter
9 Papageorgiou, Demetrios T.
9 Sharma, Upanshu
8 Gomes, Susana N.
8 Gvalani, Rishabh S.
8 Lu, Jianfeng
8 Lucarini, Valerio
8 Muntean, Adrian
7 Blömker, Dirk
7 Gottwald, Georg A.
7 Iyer, Gautam
7 Kevrekidis, Ioannis George
7 Li, Xiantao
7 Lim, Soon Hoe
7 Reich, Sebastian
7 Roberts, Anthony John
7 Sun, Xiaobin
7 Temizer, Ilker
7 Thiffeault, Jean-Luc
7 Vaes, Urbain
6 Chekroun, Mickaël D.
6 Chentouf, Boumediène
6 dos Reis, Gonçalo
6 Duan, Jinqiao
6 Eliazar, Iddo I.
6 Froyland, Gary
6 Harlim, John
6 Hartmann, Carsten
6 Savva, Nikos
6 Tao, Molei
6 Vanneste, Jacques
6 Wang, Wei
6 Wolfram, Marie-Therese
6 Zimmer, Johannes
5 Birrell, Jeremiah
5 Bunder, Judith E.
5 Goddard, Benjamin D.
5 Hairer, Martin
5 Kantas, Nikolas
5 Kramer, Peter Roland
5 Kuske, Rachel A.
5 Lawley, Sean D.
5 Li, Xingjie Helen
5 Mazzino, Andrea
5 Mohammed, Wael W.
5 Nüske, Feliks
5 Roberts, Gareth O.
5 Röckner, Michael
5 Samaey, Giovanni
5 Weare, Jonathan Quincy
5 Zanoni, Andrea
5 Zhang, Wei
5 Zhang, Yanjie
5 Zhang, Zhiwen
4 Azencott, Robert
4 Barré, Julien
4 Bierkens, Joris
4 Bittracher, Andreas
4 Bostan, Mihai
4 Colangeli, Matteo
4 Cornalba, Federico
4 Da Costa, Lancelot
4 Degond, Pierre
4 Dijkstra, Henk A.
4 Durán-Olivencia, Miguel A.
4 Efendiev, Yalchin R.
4 Gailus, Siragan
4 Hillen, Thomas
4 Hitrik, Michael
4 Holm, Darryl Dallas
4 Hottovy, Scott
4 Klus, Stefan
4 Kühn, Christian
4 Legoll, Frédéric
4 Leimkuhler, Benedict J.
4 Martins Afonso, Marco
4 Mckinley, Scott A.
4 Melbourne, Ian
4 Monmarché, Pierre
4 Novikov, Alexei
4 Nüsken, Nikolas
4 Peitz, Sebastian
4 Peletier, Mark Adriaan
4 Perez, Sergio P.
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Cited in 226 Serials

53 Journal of Statistical Physics
49 Journal of Computational Physics
45 Multiscale Modeling & Simulation
31 Physica D
29 Journal of Fluid Mechanics
25 Journal of Physics A: Mathematical and Theoretical
20 Stochastic Processes and their Applications
19 Chaos
18 Journal of Differential Equations
18 Journal of Nonlinear Science
16 SIAM Journal on Applied Mathematics
16 Journal of Statistical Mechanics: Theory and Experiment
16 SIAM/ASA Journal on Uncertainty Quantification
15 SIAM Journal on Applied Dynamical Systems
14 Nonlinearity
14 The Annals of Applied Probability
14 SIAM Journal on Mathematical Analysis
14 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
11 Communications in Mathematical Physics
11 Physica A
11 European Journal of Applied Mathematics
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 SIAM Journal on Numerical Analysis
9 Bernoulli
8 Bulletin of Mathematical Biology
8 Journal of Computational and Applied Mathematics
8 SIAM Journal on Scientific Computing
8 Stochastics and Dynamics
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Statistics and Computing
7 Archive for Rational Mechanics and Analysis
7 Computer Methods in Applied Mechanics and Engineering
7 Journal of Functional Analysis
7 Probability Theory and Related Fields
7 Electronic Journal of Probability
7 Discrete and Continuous Dynamical Systems
7 Annales Henri Poincaré
7 Discrete and Continuous Dynamical Systems. Series B
7 ALEA. Latin American Journal of Probability and Mathematical Statistics
6 Journal of Mathematical Analysis and Applications
6 Journal of Mathematical Biology
6 The Annals of Probability
6 Applied Mathematics and Computation
6 Journal of Machine Learning Research (JMLR)
6 Discrete and Continuous Dynamical Systems. Series S
6 Research in the Mathematical Sciences
5 Journal of Mathematical Physics
5 Mathematics of Computation
5 Applied Mathematics Letters
5 Nonlinear Analysis. Real World Applications
5 Kinetic and Related Models
4 Advances in Applied Probability
4 Communications on Pure and Applied Mathematics
4 Journal of Engineering Mathematics
4 Physics Reports
4 International Journal for Numerical Methods in Engineering
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 SIAM Journal on Control and Optimization
4 Statistics & Probability Letters
4 Applied Numerical Mathematics
4 Computational Mechanics
4 SIAM Review
4 Potential Analysis
4 Foundations of Computational Mathematics
4 Journal of Computational Dynamics
3 Geophysical and Astrophysical Fluid Dynamics
3 International Journal of Engineering Science
3 Mathematical Methods in the Applied Sciences
3 Applied Mathematics and Optimization
3 Transactions of the American Mathematical Society
3 Stochastic Analysis and Applications
3 Journal of Theoretical Probability
3 Applied Mathematical Modelling
3 Calculus of Variations and Partial Differential Equations
3 Applied and Computational Harmonic Analysis
3 Computational Geosciences
3 Methodology and Computing in Applied Probability
3 Journal of Evolution Equations
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Advances in Difference Equations
3 Mathematical Biosciences and Engineering
3 Stochastics
3 Networks and Heterogeneous Media
3 Stochastic and Partial Differential Equations. Analysis and Computations
2 Biological Cybernetics
2 Computers & Mathematics with Applications
2 Inverse Problems
2 Letters in Mathematical Physics
2 Mathematical Biosciences
2 Physics Letters. A
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 BIT
2 Integral Equations and Operator Theory
2 Mathematics and Computers in Simulation
2 Numerische Mathematik
2 Probability and Mathematical Statistics
2 SIAM Journal on Matrix Analysis and Applications
2 Journal of Scientific Computing
2 International Journal of Computer Mathematics
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
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Cited in 41 Fields

451 Probability theory and stochastic processes (60-XX)
308 Partial differential equations (35-XX)
250 Numerical analysis (65-XX)
215 Statistical mechanics, structure of matter (82-XX)
140 Fluid mechanics (76-XX)
110 Dynamical systems and ergodic theory (37-XX)
105 Statistics (62-XX)
74 Ordinary differential equations (34-XX)
74 Biology and other natural sciences (92-XX)
53 Systems theory; control (93-XX)
48 Mechanics of deformable solids (74-XX)
44 Computer science (68-XX)
41 Operator theory (47-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
27 Mechanics of particles and systems (70-XX)
27 Classical thermodynamics, heat transfer (80-XX)
26 Quantum theory (81-XX)
26 Operations research, mathematical programming (90-XX)
22 Geophysics (86-XX)
22 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Optics, electromagnetic theory (78-XX)
12 Functional analysis (46-XX)
10 Global analysis, analysis on manifolds (58-XX)
7 Approximations and expansions (41-XX)
6 Measure and integration (28-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Special functions (33-XX)
5 Information and communication theory, circuits (94-XX)
3 Combinatorics (05-XX)
3 Real functions (26-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral equations (45-XX)
2 Functions of a complex variable (30-XX)
2 Differential geometry (53-XX)
1 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)

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