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Mazzucchi, Sonia

Co-Author Distance
Author ID: mazzucchi.sonia Recent zbMATH articles by "Mazzucchi, Sonia"
Published as: Mazzucchi, Sonia; Mazzucchi, S.
External Links: ORCID
Documents Indexed: 48 Publications since 2001, including 3 Books and 5 Additional arXiv Preprints
2 Contributions as Editor
Co-Authors: 26 Co-Authors with 41 Joint Publications
802 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
25 Albeverio, Sergio A.
5 Moretti, Valter
4 Greco, Gabriele H.
3 Bonaccorsi, Stefano
3 Cangiotti, Nicolò
3 Guatteri, Giuseppina
2 Drago, Nicolò
2 Nicola, Fabio
2 Pagani, Enrico M.
2 Trapasso, Salvatore Ivan
1 Azzini, Stefano
1 Ballico, Edoardo
1 Bernardi, Alessandra
1 Calcaterra, Craig
1 Carusotta, Iacopo
1 Cattaneo, Laura
1 Di Persio, Luca
1 D’Ovidio, Mirko
1 Hilbert, Astrid
1 Høegh-Krohn, Raphael J.
1 Leone, Nicolò
1 Mastrogiacomo, Elisa
1 Pavesi, Lorenzo
1 Rüdiger-Mastandrea, Barbara
1 Smolyanov, Oleg Georgievich
1 Ugolini, Stefania
all top 5

Serials

4 Journal of Mathematical Physics
3 Journal of Functional Analysis
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Stochastic Processes and their Applications
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications in Mathematical Physics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Reviews in Mathematical Physics
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Probability Theory and Related Fields
1 Expositiones Mathematicae
1 Potential Analysis
1 Journal of Convex Analysis
1 Bulletin des Sciences Mathématiques
1 Journal of Evolution Equations
1 Lecture Notes in Mathematics
1 Lecture Notes of the Unione Matematica Italiana
1 Journal of Geometric Mechanics
1 Springer Proceedings in Mathematics & Statistics
1 International Journal of Partial Differential Equations
1 Bollettino dell’Unione Matematica Italiana
all top 5

Fields

28 Quantum theory (81-XX)
23 Measure and integration (28-XX)
22 Partial differential equations (35-XX)
14 Probability theory and stochastic processes (60-XX)
12 Functional analysis (46-XX)
11 Global analysis, analysis on manifolds (58-XX)
8 Operator theory (47-XX)
5 History and biography (01-XX)
3 Ordinary differential equations (34-XX)
2 General and overarching topics; collections (00-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Number theory (11-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Integral transforms, operational calculus (44-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

40 Publications have been cited 296 times in 135 Documents Cited by ▼ Year ▼
Mathematical theory of Feynman path integrals. An introduction. 2nd corrected and enlarged edition. Zbl 1222.46001
Albeverio, Sergio A.; Høegh-Krohn, Raphael J.; Mazzucchi, Sonia
66
2008
Mathematical Feynman path integrals and their applications. Zbl 1173.81002
Mazzucchi, Sonia
29
2009
Feynman path integrals for polynomially growing potentials. Zbl 1095.81041
Albeverio, S.; Mazzucchi, S.
22
2005
Phase space Feynman path integrals. Zbl 1059.81107
Albeverio, S.; Guatteri, G.; Mazzucchi, S.
21
2002
The time-dependent quartic oscillator — a Feynman path integral approach. Zbl 1130.81032
Albeverio, S.; Mazzucchi, S.
13
2006
Generalized Fresnel integrals. Zbl 1096.28010
Albeverio, S.; Mazzucchi, S.
12
2005
A unified approach to infinite-dimensional integration. Zbl 1339.28018
Albeverio, S.; Mazzucchi, S.
11
2016
Functional-integral solution for the Schrödinger equation with polynomial potential: a white noise approach. Zbl 1232.35140
Mazzucchi, Sonia
11
2011
High order heat-type equations and random walks on the complex plane. Zbl 1323.35225
Bonaccorsi, Stefano; Mazzucchi, Sonia
10
2015
A representation of the Belavkin equation via phase space Feynman path integrals. Zbl 1077.81063
Albeverio, S.; Guatteri, G.; Mazzucchi, S.
8
2004
Some new developments in the theory of path integrals, with applications to quantum theory. Zbl 1157.81324
Albeverio, S.; Mazzucchi, S.
6
2004
Generalized infinite-dimensional Fresnel integrals. Zbl 1038.58007
Albeverio, Sergio; Mazzucchi, Sonia
6
2004
Infinite dimensional oscillatory integrals with polynomial phase and applications to higher-order heat-type equations. Zbl 1397.35065
Mazzucchi, S.
6
2018
Generalized Feynman path integrals and applications to higher-order heat-type equations. Zbl 1409.58003
Albeverio, S.; Cangiotti, N.; Mazzucchi, S.
6
2018
Feynman path integrals for the inverse quartic oscillator. Zbl 1152.81555
Mazzucchi, S.
5
2008
A survey on mathematical Feynman path integrals: construction, asymptotics, applications. Zbl 1172.28303
Albeverio, Sergio; Mazzucchi, Sonia
5
2009
Quantum physics and geometry. Zbl 1411.81023
5
2019
Probabilistic representations for the solution of higher order differential equations. Zbl 1364.60084
Mazzucchi, S.
5
2013
The trace formula for the heat semigroup with polynomial potential. Zbl 1248.35042
Albeverio, Sergio; Mazzucchi, Sonia
5
2011
An asymptotic functional-integral solution for the Schrödinger equation with polynomial potential. Zbl 1172.35068
Albeverio, S.; Mazzucchi, S.
4
2009
Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup. Zbl 1208.28009
Albeverio, Sergio; Mazzucchi, Sonia
4
2009
A representation of the Belavkin equation via Feynman path integrals. Zbl 1028.81035
Albeverio, S.; Guatteri, G.; Mazzucchi, S.
3
2003
An introduction to infinite-dimensional oscillatory and probabilistic integrals. Zbl 1331.28028
Albeverio, Sergio; Mazzucchi, Sonia
3
2015
Probabilistic representation formula for the solution of fractional high-order heat-type equations. Zbl 1419.35201
Bonaccorsi, Stefano; D’Ovidio, Mirko; Mazzucchi, Sonia
3
2019
The originality of Peano’s 1886 existence theorem on scalar differential equations. Zbl 1351.01012
Greco, Gabriele H.; Mazzucchi, Sonia
2
2016
A rigorous approach to the Feynman-Vernon influence functional and its applications. I. Zbl 1152.81309
Albeverio, Sergio; Cattaneo, Laura; Mazzucchi, Sonia; Di Persio, Luca
2
2007
Peano on derivative of measures: strict derivative of distributive set functions. Zbl 1198.01024
Greco, Gabriele H.; Mazzucchi, Sonia; Pagani, Enrico M.
2
2010
Feynman path integrals for time-dependent potentials. Zbl 1088.81070
Albeverio, Sergio; Mazzucchi, Sonia
2
2006
Some new developments in Feynman path integrals and applications. Zbl 1221.58010
Mazzucchi, S.
2
2005
Theory and applications of infinite dimensional oscillatory integrals. Zbl 1157.28305
Albeverio, Sergio; Mazzucchi, Sonia
2
2007
Infinite dimensional oscillatory integrals as projective systems of functionals. Zbl 1334.28024
Albeverio, Sergio; Mazzucchi, Sonia
2
2015
On the observables describing a quantum reference frame. Zbl 1015.81009
Mazzucchi, S.
2
2001
A unified approach to infinite dimensional integrals of probabilistic and oscillatory type with applications to Feynman path integrals. Zbl 1400.28023
Albeverio, Sergio; Mazzucchi, Sonia
2
2018
An Itô calculus for a class of limit processes arising from random walks on the complex plane. Zbl 1516.35180
Bonaccorsi, Stefano; Calcaterra, Craig; Mazzucchi, Sonia
2
2017
A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field. Zbl 1465.46079
Albeverio, S.; Cangiotti, N.; Mazzucchi, S.
2
2020
Peano on definition of surface area. Zbl 1347.01006
Greco, Gabriele H.; Mazzucchi, Sonia; Pagani, Enrico M.
1
2016
Peano’s 1886 existence theorem on first-order scalar differential equations: a review. Zbl 1354.01011
Greco, Gabriele H.; Mazzucchi, Sonia
1
2016
Feynman path integrals for the time dependent quartic oscillator. Zbl 1078.81049
Albeverio, Sergio; Mazzucchi, Sonia
1
2005
Mathematical Feynman path integrals and their applications. 2nd edition. Zbl 1477.81003
Mazzucchi, Sonia
1
2022
Infinite dimensional integrals and their asymptotics: some recent developments and applications. Zbl 1282.81123
Albeverio, S.; Mazzucchi, S.
1
2010
Mathematical Feynman path integrals and their applications. 2nd edition. Zbl 1477.81003
Mazzucchi, Sonia
1
2022
A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field. Zbl 1465.46079
Albeverio, S.; Cangiotti, N.; Mazzucchi, S.
2
2020
Quantum physics and geometry. Zbl 1411.81023
5
2019
Probabilistic representation formula for the solution of fractional high-order heat-type equations. Zbl 1419.35201
Bonaccorsi, Stefano; D’Ovidio, Mirko; Mazzucchi, Sonia
3
2019
Infinite dimensional oscillatory integrals with polynomial phase and applications to higher-order heat-type equations. Zbl 1397.35065
Mazzucchi, S.
6
2018
Generalized Feynman path integrals and applications to higher-order heat-type equations. Zbl 1409.58003
Albeverio, S.; Cangiotti, N.; Mazzucchi, S.
6
2018
A unified approach to infinite dimensional integrals of probabilistic and oscillatory type with applications to Feynman path integrals. Zbl 1400.28023
Albeverio, Sergio; Mazzucchi, Sonia
2
2018
An Itô calculus for a class of limit processes arising from random walks on the complex plane. Zbl 1516.35180
Bonaccorsi, Stefano; Calcaterra, Craig; Mazzucchi, Sonia
2
2017
A unified approach to infinite-dimensional integration. Zbl 1339.28018
Albeverio, S.; Mazzucchi, S.
11
2016
The originality of Peano’s 1886 existence theorem on scalar differential equations. Zbl 1351.01012
Greco, Gabriele H.; Mazzucchi, Sonia
2
2016
Peano on definition of surface area. Zbl 1347.01006
Greco, Gabriele H.; Mazzucchi, Sonia; Pagani, Enrico M.
1
2016
Peano’s 1886 existence theorem on first-order scalar differential equations: a review. Zbl 1354.01011
Greco, Gabriele H.; Mazzucchi, Sonia
1
2016
High order heat-type equations and random walks on the complex plane. Zbl 1323.35225
Bonaccorsi, Stefano; Mazzucchi, Sonia
10
2015
An introduction to infinite-dimensional oscillatory and probabilistic integrals. Zbl 1331.28028
Albeverio, Sergio; Mazzucchi, Sonia
3
2015
Infinite dimensional oscillatory integrals as projective systems of functionals. Zbl 1334.28024
Albeverio, Sergio; Mazzucchi, Sonia
2
2015
Probabilistic representations for the solution of higher order differential equations. Zbl 1364.60084
Mazzucchi, S.
5
2013
Functional-integral solution for the Schrödinger equation with polynomial potential: a white noise approach. Zbl 1232.35140
Mazzucchi, Sonia
11
2011
The trace formula for the heat semigroup with polynomial potential. Zbl 1248.35042
Albeverio, Sergio; Mazzucchi, Sonia
5
2011
Peano on derivative of measures: strict derivative of distributive set functions. Zbl 1198.01024
Greco, Gabriele H.; Mazzucchi, Sonia; Pagani, Enrico M.
2
2010
Infinite dimensional integrals and their asymptotics: some recent developments and applications. Zbl 1282.81123
Albeverio, S.; Mazzucchi, S.
1
2010
Mathematical Feynman path integrals and their applications. Zbl 1173.81002
Mazzucchi, Sonia
29
2009
A survey on mathematical Feynman path integrals: construction, asymptotics, applications. Zbl 1172.28303
Albeverio, Sergio; Mazzucchi, Sonia
5
2009
An asymptotic functional-integral solution for the Schrödinger equation with polynomial potential. Zbl 1172.35068
Albeverio, S.; Mazzucchi, S.
4
2009
Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup. Zbl 1208.28009
Albeverio, Sergio; Mazzucchi, Sonia
4
2009
Mathematical theory of Feynman path integrals. An introduction. 2nd corrected and enlarged edition. Zbl 1222.46001
Albeverio, Sergio A.; Høegh-Krohn, Raphael J.; Mazzucchi, Sonia
66
2008
Feynman path integrals for the inverse quartic oscillator. Zbl 1152.81555
Mazzucchi, S.
5
2008
A rigorous approach to the Feynman-Vernon influence functional and its applications. I. Zbl 1152.81309
Albeverio, Sergio; Cattaneo, Laura; Mazzucchi, Sonia; Di Persio, Luca
2
2007
Theory and applications of infinite dimensional oscillatory integrals. Zbl 1157.28305
Albeverio, Sergio; Mazzucchi, Sonia
2
2007
The time-dependent quartic oscillator — a Feynman path integral approach. Zbl 1130.81032
Albeverio, S.; Mazzucchi, S.
13
2006
Feynman path integrals for time-dependent potentials. Zbl 1088.81070
Albeverio, Sergio; Mazzucchi, Sonia
2
2006
Feynman path integrals for polynomially growing potentials. Zbl 1095.81041
Albeverio, S.; Mazzucchi, S.
22
2005
Generalized Fresnel integrals. Zbl 1096.28010
Albeverio, S.; Mazzucchi, S.
12
2005
Some new developments in Feynman path integrals and applications. Zbl 1221.58010
Mazzucchi, S.
2
2005
Feynman path integrals for the time dependent quartic oscillator. Zbl 1078.81049
Albeverio, Sergio; Mazzucchi, Sonia
1
2005
A representation of the Belavkin equation via phase space Feynman path integrals. Zbl 1077.81063
Albeverio, S.; Guatteri, G.; Mazzucchi, S.
8
2004
Some new developments in the theory of path integrals, with applications to quantum theory. Zbl 1157.81324
Albeverio, S.; Mazzucchi, S.
6
2004
Generalized infinite-dimensional Fresnel integrals. Zbl 1038.58007
Albeverio, Sergio; Mazzucchi, Sonia
6
2004
A representation of the Belavkin equation via Feynman path integrals. Zbl 1028.81035
Albeverio, S.; Guatteri, G.; Mazzucchi, S.
3
2003
Phase space Feynman path integrals. Zbl 1059.81107
Albeverio, S.; Guatteri, G.; Mazzucchi, S.
21
2002
On the observables describing a quantum reference frame. Zbl 1015.81009
Mazzucchi, S.
2
2001
all cited Publications top 5 cited Publications
all top 5

Cited by 154 Authors

23 Albeverio, Sergio A.
22 Mazzucchi, Sonia
7 Kumanogo, Naoto
6 Grothaus, Martin
5 Bock, Wolfgang
5 Nicola, Fabio
4 Ichinose, Wataru
4 Smolyanov, Oleg Georgievich
3 Bonaccorsi, Stefano
3 Cho, Dong Hyun
3 Di Persio, Luca
3 Faddeev, Mikhail Mikhaĭlovich
3 Ibragimov, Il’dar Abdullovich
3 Kuipers, Folkert
3 Mastrogiacomo, Elisa
3 Smii, Boubaker
3 Smorodina, Natal’ya Vasil’evna
3 Trapasso, Salvatore Ivan
2 Ballico, Edoardo
2 Bernardi, Alessandra
2 Kinderknecht, Yana A.
2 Cangiotti, Nicolò
2 Chang, Seung Jun
2 Chung, Hyun Soo
2 Daei, Omid
2 D’Ovidio, Mirko
2 Greco, Gabriele H.
2 Jørgensen, Palle E. T.
2 László, András
2 Léandre, Rémi
2 Malomed, Boris A.
2 Navi, Keivan
2 Platonova, Mariya V.
2 Riemann, Felix
2 Zambrini, Jean-Claude
1 Alpay, Daniel Aron
1 Antonelli, Paolo
1 Aoki, Takayoshi
1 Ávila-Aoki, M.
1 Becker-Kern, Peter
1 Bernido, Christopher C.
1 Biryukov, Aleksandr Aleksandrovich
1 Botero, Alonso
1 Böttcher, Björn
1 Buchholz, Detlev
1 Busse, K.
1 Calcaterra, Craig
1 Capitanelli, Raffaela
1 Capraro, Patrick Leonardo
1 Cardin, Franco
1 Carpio-Bernido, Maria Victoria
1 Cattaneo, Laura
1 Chatzakou, Marianna
1 Chen, Changyuan
1 Ciolli, Fabio
1 Cirici, Joana
1 Cruzeiro, Ana-Bela
1 de Gosson, Maurice Alexis
1 De Vecchi, Francesco Carlo
1 Delgado, Julio
1 Dolecki, Szymon
1 Dong, Qian
1 Dong, Shihai
1 Doss, Halim
1 Drago, Nicolò
1 Duan, Jinqiao
1 Fassari, Silvestro
1 Fazio, A. R.
1 Feichtinger, Hans Georg
1 Fujiwara, Daisuke
1 Gill, Tepper L.
1 Gómez Vergel, Daniel
1 Gough, John E.
1 Grafke, Tobias
1 Grauer, Rainer
1 Gregorio, Federica
1 Guatteri, Giuseppina
1 Guiotto, Paolo
1 Hassanabadi, Hassan
1 Hyde, T. W.
1 Iliev, Plamen
1 Jefferies, Brian R. F.
1 Keith, Jonathan M.
1 Kostadinova, Evdokiya Georgieva
1 Kowalski, Krzysztof
1 Kwon, Mo A.
1 Lage, Svenja
1 Lakos, Gyula
1 Liaw, C. D.
1 Lin, Li
1 Liu, Chengshi
1 Magnot, Jean-Pierre
1 Marchione, Manfred Marvin
1 Matthews, Lynnell S.
1 Mayteevarunyoo, Thawatchai
1 Mitoma, Itaru
1 Mohameden, Hammah
1 Moretti, Valter
1 Mugnolo, Delio
1 Nathanson, Ekaterina S.
...and 54 more Authors
all top 5

Cited in 67 Serials

13 Journal of Mathematical Physics
7 Bulletin des Sciences Mathématiques
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
5 Journal of Functional Analysis
5 Stochastic Processes and their Applications
4 Reports on Mathematical Physics
4 Reviews in Mathematical Physics
3 Potential Analysis
3 Journal of Evolution Equations
3 Journal of Pseudo-Differential Operators and Applications
2 Modern Physics Letters A
2 Classical and Quantum Gravity
2 Communications in Mathematical Physics
2 International Journal of Theoretical Physics
2 Letters in Mathematical Physics
2 Journal of Differential Equations
2 Annals of Physics
2 Expositiones Mathematicae
2 Russian Journal of Mathematical Physics
2 Journal of Mathematical Sciences (New York)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Physics A: Mathematical and Theoretical
2 Bollettino dell’Unione Matematica Italiana
1 International Journal of Modern Physics B
1 Journal d’Analyse Mathématique
1 Journal of the Franklin Institute
1 Physics Letters. A
1 Physics Letters. B
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Theory of Probability and its Applications
1 Advances in Mathematics
1 Dissertationes Mathematicae
1 Journal of the Mathematical Society of Japan
1 Mathematics and Computers in Simulation
1 Osaka Journal of Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Chinese Annals of Mathematics. Series B
1 Stochastic Analysis and Applications
1 Applied Numerical Mathematics
1 Journal of Symbolic Computation
1 Sugaku Expositions
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Theory of Probability and Mathematical Statistics
1 Advances in Applied Clifford Algebras
1 Doklady Mathematics
1 Chaos
1 Fractional Calculus & Applied Analysis
1 Communications of the Korean Mathematical Society
1 Journal of High Energy Physics
1 Quantum Information Processing
1 Thai Journal of Mathematics
1 Journal of Function Spaces and Applications
1 Stochastics
1 Proceedings of the Steklov Institute of Mathematics
1 Advances in High Energy Physics
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Quanta
1 Analysis and Geometry in Metric Spaces
1 Journal of Mathematics
1 Mathematics
1 International Journal of Partial Differential Equations
1 Advances in Operator Theory
1 Korean Journal of Mathematics
all top 5

Cited in 37 Fields

76 Quantum theory (81-XX)
53 Partial differential equations (35-XX)
45 Probability theory and stochastic processes (60-XX)
25 Measure and integration (28-XX)
22 Functional analysis (46-XX)
21 Operator theory (47-XX)
12 Global analysis, analysis on manifolds (58-XX)
7 Relativity and gravitational theory (83-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 History and biography (01-XX)
4 Algebraic geometry (14-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Real functions (26-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Approximations and expansions (41-XX)
3 Numerical analysis (65-XX)
3 Biology and other natural sciences (92-XX)
3 Systems theory; control (93-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Potential theory (31-XX)
2 Ordinary differential equations (34-XX)
2 Differential geometry (53-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year