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Author ID: host.bernard Recent zbMATH articles by "Host, Bernard"
Published as: Host, Bernard; Host, B.
Documents Indexed: 67 Publications since 1977, including 2 Books and 4 Additional arXiv Preprints
Co-Authors: 36 Co-Authors with 57 Joint Publications
637 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 1,513 times in 850 Documents Cited by Year
Nonconventional ergodic averages and nilmanifolds. Zbl 1077.37002
Host, Bernard; Kra, Bryna
217
2005
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C.
120
1999
Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa). Zbl 1087.28007
Bergelson, Vitaly; Host, Bernard; Kra, Bryna
107
2005
Topological complexity. Zbl 0962.37003
Blanchard, F.; Host, B.; Maass, A.
61
2000
Convergence of polynomial ergodic averages. Zbl 1085.28009
Host, Bernard; Kra, Bryna
56
2005
Valeurs propres des systèmes dynamiques définis par des substitutions de longuer variable. (Eigenvalues of dynamical systems defined by substitutions of non-constant length). Zbl 0625.28011
Host, B.
53
1986
Uniformity seminorms on \(\ell^{\infty}\) and applications. Zbl 1183.37011
Host, Bernard; Kra, Bryna
48
2009
Nilpotent structures in ergodic theory. Zbl 1433.37001
Host, Bernard; Kra, Bryna
47
2018
Nilsequences and a structure theorem for topological dynamical systems. Zbl 1203.37022
Host, Bernard; Kra, Bryna; Maass, Alejandro
46
2010
A variation on the variational principle and applications to entropy pairs. Zbl 0868.54033
Blanchard, F.; Glasner, E.; Host, B.
45
1997
The logarithmic Sarnak conjecture for ergodic weights. Zbl 1400.11129
Frantzikinakis, Nikos; Host, Bernard
40
2018
Asymptotic pairs in positive-entropy systems. Zbl 1018.37005
Blanchard, F.; Host, B.; Ruette, S.
38
2002
Entropy pairs for a measure. Zbl 0833.58022
Blanchard, F.; Host, B.; Maass, A.; Martinez, S.; Rudolph, D. J.
38
1995
Higher-order Fourier analysis of multiplicative functions and applications. Zbl 1355.11094
Frantzikinakis, Nikos; Host, Bernard
38
2017
Ergodic seminorms for commuting transformations and applications. Zbl 1230.37006
Host, Bernard
35
2009
Normal numbers, entropy, translations. (Nombres normaux, entropie, translations.) Zbl 0839.11030
Host, Bernard
33
1995
Le théorème des idempotents dans B(G). (The theorem of idempotents in B(G)). Zbl 0606.43002
Host, B.
32
1986
Multiple recurrence and convergence for sequences related to the prime numbers. Zbl 1126.37005
Frantzikinakis, Nikos; Host, Bernard; Kra, Bryna
32
2007
Mixing of all orders and pairwise independent joinings of systems with singular spectrum. Zbl 0790.28010
Host, Bernard
30
1991
Ergodic averages of commuting transformations with distinct degree polynomial iterates. Zbl 1218.37009
Chu, Qing; Frantzikinakis, Nikos; Host, Bernard
30
2011
The polynomial multidimensional Szemerédi theorem along shifted primes. Zbl 1301.37008
Frantzikinakis, Nikos; Host, Bernard; Kra, Bryna
26
2013
Non singular transformations and spectral analysis of measures. Zbl 0748.43001
Host, Bernard; Méla, Jean-François; Parreau, François
24
1991
Limit distributions for minimal displacement of branching random walks. Zbl 0734.60074
Dekking, F. M.; Host, B.
23
1991
Simple systems and their higher order self-joinings. Zbl 0779.28010
Glasner, Eli; Host, B.; Rudolph, D.
20
1992
Parallelepipeds, nilpotent groups and Gowers norms. Zbl 1189.11006
Host, Bernard; Kra, Bryna
19
2008
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011
Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro
18
2003
Convergence of Conze-Lesigne averages. Zbl 0995.37003
Host, Bernard; Kra, Bryna
16
2001
Analyse harmonique des mesures. Séminaire de Villetaneuse (France). (Harmonic analysis of measures). Zbl 0589.43001
Host, B.; Méla, J.-F.; Parreau, F.
16
1986
Complexity of nilsystems and systems lacking nilfactors. Zbl 1351.37026
Host, Bernard; Kra, Bryna; Maass, Alejandro
16
2014
Aspects of uniformity in recurrence. Zbl 0966.28009
Bergelson, Vitaly; Host, Bernard; McCutcheon, Randall; Parreau, François
15
2000
Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules. Zbl 1053.54046
Host, Bernard; Maass, Alejandro; Martínez, Servet
15
2003
Some results of uniform distribution in the multidimensional torus. Zbl 1047.37003
Host, Bernard
12
2000
Two step nilsystems and parallelepipeds. (Nilsystèmes d’ordre 2 et parallélépipèdes.) Zbl 1217.37010
Host, Bernard; Maass, Alejandro
12
2007
An odd Furstenberg-Szemerédi theorem and quasi-affine systems. Zbl 1013.37003
Host, Bernard; Kra, Bryna
11
2002
Nil-Bohr sets of integers. Zbl 1209.37007
Host, Bernard; Kra, Bryna
11
2011
Weighted multiple ergodic averages and correlation sequences. Zbl 1401.37008
Frantzikinakis, Nikos; Host, Bernard
11
2018
Homomorphismes entre systèmes dynamiques définis par substitutions. (Homomorphisms between dynamical systems defined by substitutions). Zbl 0662.58027
Host, B.; Parreau, F.
10
1989
Sur un problème de I. Glicksberg: Les idéaux fermés de type fini de \(M(G)\). Zbl 0368.43001
Host, Bernard; Parreau, François
9
1978
Asymptotics for multilinear averages of multiplicative functions. Zbl 1371.11134
Frantzikinakis, Nikos; Host, Bernard
9
2016
Variations on topological recurrence. Zbl 1330.05156
Host, Bernard; Kra, Bryna; Maass, Alejandro
9
2016
Furstenberg systems of bounded multiplicative functions and applications. Zbl 1483.37006
Frantzikinakis, Nikos; Host, Bernard
9
2021
Substitution subshifts and Bratteli diagrams. Zbl 0985.37012
Host, Bernard
8
2000
A point of view on Gowers uniformity norms. Zbl 1268.11018
Host, Bernard; Kra, Bryna
7
2012
Analysis of two step nilsequences. Zbl 1145.37006
Host, Bernard; Kra, Bryna
6
2008
A short proof of a conjecture of Erdős proved by Moreira, Richter and Robertson. Zbl 1433.05314
Host, Bernard
6
2019
Representation by an automaton of continuous functions of the torus. (Représentation par automate de fonctions continues de tore.) Zbl 0881.58035
Blanchard, F.; Host, B.; Maass, A.
5
1996
Multiple ergodic theorems for arithmetic sets. Zbl 1386.37010
Frantzikinakis, Nikos; Host, Bernard
5
2017
Averaging along cubes. Zbl 1147.37301
Host, Bernard; Kra, Bryna
5
2004
Arithmetic progressions in prime numbers (after B. Green and T. Tao). (Progressions arithmétiques dans les nombres premiers [d’après B. Green et T. Tao].) Zbl 1175.11052
Host, Bernard
3
2006
Multiple recurrence and convergence without commutativity. Zbl 1528.37002
Frantzikinakis, Nikos; Host, Bernard
3
2023
Extensions of Cantor minimal systems and dimension groups. Zbl 1316.37009
Glasner, Eli; Host, Bernard
2
2013
The logarithmic Sobolev constant of the lamplighter. Zbl 1266.60124
Abakumov, Evgeny; Beaulieu, Anne; Blanchard, François; Fradelizi, Matthieu; Gozlan, Nathaël; Host, Bernard; Jeantheau, Thiery; Kobylanski, Magdalena; Lecué, Guillaume; Martinez, Miguel; Meyer, Mathieu; Mourgues, Marie-Hélène; Portal, Frédéric; Ribaud, Francis; Roberto, Cyril; Romon, Pascal; Roth, Julien; Samson, Paul-Marie; Vandekerkhove, Pierre; Youssfi, Abdellah
2
2013
Sur une notion de pureté pour les mesures. (On a notion of purity for measures). Zbl 0653.22006
Host, Bernard; Parreau, François
1
1988
The interior of the Silov boundary of M(G) is trivial. Zbl 0445.46039
Parreau, F.; Host, B.; Graham, C. C.
1
1980
Sur les mesures dont la transformee de Fourier-Stieltjes ne tend pas vers o à l’infini. Zbl 0466.43005
Host, Bernard; Parreau, Francois
1
1979
The generalized purity law for ergodic measures: a simple proof. Zbl 0727.28010
Host, Bernard; Parreau, François
1
1990
Multiple recurrence and convergence without commutativity. Zbl 1528.37002
Frantzikinakis, Nikos; Host, Bernard
3
2023
Furstenberg systems of bounded multiplicative functions and applications. Zbl 1483.37006
Frantzikinakis, Nikos; Host, Bernard
9
2021
A short proof of a conjecture of Erdős proved by Moreira, Richter and Robertson. Zbl 1433.05314
Host, Bernard
6
2019
Nilpotent structures in ergodic theory. Zbl 1433.37001
Host, Bernard; Kra, Bryna
47
2018
The logarithmic Sarnak conjecture for ergodic weights. Zbl 1400.11129
Frantzikinakis, Nikos; Host, Bernard
40
2018
Weighted multiple ergodic averages and correlation sequences. Zbl 1401.37008
Frantzikinakis, Nikos; Host, Bernard
11
2018
Higher-order Fourier analysis of multiplicative functions and applications. Zbl 1355.11094
Frantzikinakis, Nikos; Host, Bernard
38
2017
Multiple ergodic theorems for arithmetic sets. Zbl 1386.37010
Frantzikinakis, Nikos; Host, Bernard
5
2017
Asymptotics for multilinear averages of multiplicative functions. Zbl 1371.11134
Frantzikinakis, Nikos; Host, Bernard
9
2016
Variations on topological recurrence. Zbl 1330.05156
Host, Bernard; Kra, Bryna; Maass, Alejandro
9
2016
Complexity of nilsystems and systems lacking nilfactors. Zbl 1351.37026
Host, Bernard; Kra, Bryna; Maass, Alejandro
16
2014
The polynomial multidimensional Szemerédi theorem along shifted primes. Zbl 1301.37008
Frantzikinakis, Nikos; Host, Bernard; Kra, Bryna
26
2013
Extensions of Cantor minimal systems and dimension groups. Zbl 1316.37009
Glasner, Eli; Host, Bernard
2
2013
The logarithmic Sobolev constant of the lamplighter. Zbl 1266.60124
Abakumov, Evgeny; Beaulieu, Anne; Blanchard, François; Fradelizi, Matthieu; Gozlan, Nathaël; Host, Bernard; Jeantheau, Thiery; Kobylanski, Magdalena; Lecué, Guillaume; Martinez, Miguel; Meyer, Mathieu; Mourgues, Marie-Hélène; Portal, Frédéric; Ribaud, Francis; Roberto, Cyril; Romon, Pascal; Roth, Julien; Samson, Paul-Marie; Vandekerkhove, Pierre; Youssfi, Abdellah
2
2013
A point of view on Gowers uniformity norms. Zbl 1268.11018
Host, Bernard; Kra, Bryna
7
2012
Ergodic averages of commuting transformations with distinct degree polynomial iterates. Zbl 1218.37009
Chu, Qing; Frantzikinakis, Nikos; Host, Bernard
30
2011
Nil-Bohr sets of integers. Zbl 1209.37007
Host, Bernard; Kra, Bryna
11
2011
Nilsequences and a structure theorem for topological dynamical systems. Zbl 1203.37022
Host, Bernard; Kra, Bryna; Maass, Alejandro
46
2010
Uniformity seminorms on \(\ell^{\infty}\) and applications. Zbl 1183.37011
Host, Bernard; Kra, Bryna
48
2009
Ergodic seminorms for commuting transformations and applications. Zbl 1230.37006
Host, Bernard
35
2009
Parallelepipeds, nilpotent groups and Gowers norms. Zbl 1189.11006
Host, Bernard; Kra, Bryna
19
2008
Analysis of two step nilsequences. Zbl 1145.37006
Host, Bernard; Kra, Bryna
6
2008
Multiple recurrence and convergence for sequences related to the prime numbers. Zbl 1126.37005
Frantzikinakis, Nikos; Host, Bernard; Kra, Bryna
32
2007
Two step nilsystems and parallelepipeds. (Nilsystèmes d’ordre 2 et parallélépipèdes.) Zbl 1217.37010
Host, Bernard; Maass, Alejandro
12
2007
Arithmetic progressions in prime numbers (after B. Green and T. Tao). (Progressions arithmétiques dans les nombres premiers [d’après B. Green et T. Tao].) Zbl 1175.11052
Host, Bernard
3
2006
Nonconventional ergodic averages and nilmanifolds. Zbl 1077.37002
Host, Bernard; Kra, Bryna
217
2005
Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa). Zbl 1087.28007
Bergelson, Vitaly; Host, Bernard; Kra, Bryna
107
2005
Convergence of polynomial ergodic averages. Zbl 1085.28009
Host, Bernard; Kra, Bryna
56
2005
Averaging along cubes. Zbl 1147.37301
Host, Bernard; Kra, Bryna
5
2004
Continuous and measurable eigenfunctions of linearly recurrent dynamical Cantor systems. Zbl 1045.54011
Cortez, Maria Isabel; Durand, Fabien; Host, Bernard; Maass, Alejandro
18
2003
Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules. Zbl 1053.54046
Host, Bernard; Maass, Alejandro; Martínez, Servet
15
2003
Asymptotic pairs in positive-entropy systems. Zbl 1018.37005
Blanchard, F.; Host, B.; Ruette, S.
38
2002
An odd Furstenberg-Szemerédi theorem and quasi-affine systems. Zbl 1013.37003
Host, Bernard; Kra, Bryna
11
2002
Convergence of Conze-Lesigne averages. Zbl 0995.37003
Host, Bernard; Kra, Bryna
16
2001
Topological complexity. Zbl 0962.37003
Blanchard, F.; Host, B.; Maass, A.
61
2000
Aspects of uniformity in recurrence. Zbl 0966.28009
Bergelson, Vitaly; Host, Bernard; McCutcheon, Randall; Parreau, François
15
2000
Some results of uniform distribution in the multidimensional torus. Zbl 1047.37003
Host, Bernard
12
2000
Substitution subshifts and Bratteli diagrams. Zbl 0985.37012
Host, Bernard
8
2000
Substitutional dynamical systems, Bratteli diagrams and dimension groups. Zbl 1044.46543
Durand, F.; Host, B.; Skau, C.
120
1999
A variation on the variational principle and applications to entropy pairs. Zbl 0868.54033
Blanchard, F.; Glasner, E.; Host, B.
45
1997
Representation by an automaton of continuous functions of the torus. (Représentation par automate de fonctions continues de tore.) Zbl 0881.58035
Blanchard, F.; Host, B.; Maass, A.
5
1996
Entropy pairs for a measure. Zbl 0833.58022
Blanchard, F.; Host, B.; Maass, A.; Martinez, S.; Rudolph, D. J.
38
1995
Normal numbers, entropy, translations. (Nombres normaux, entropie, translations.) Zbl 0839.11030
Host, Bernard
33
1995
Simple systems and their higher order self-joinings. Zbl 0779.28010
Glasner, Eli; Host, B.; Rudolph, D.
20
1992
Mixing of all orders and pairwise independent joinings of systems with singular spectrum. Zbl 0790.28010
Host, Bernard
30
1991
Non singular transformations and spectral analysis of measures. Zbl 0748.43001
Host, Bernard; Méla, Jean-François; Parreau, François
24
1991
Limit distributions for minimal displacement of branching random walks. Zbl 0734.60074
Dekking, F. M.; Host, B.
23
1991
The generalized purity law for ergodic measures: a simple proof. Zbl 0727.28010
Host, Bernard; Parreau, François
1
1990
Homomorphismes entre systèmes dynamiques définis par substitutions. (Homomorphisms between dynamical systems defined by substitutions). Zbl 0662.58027
Host, B.; Parreau, F.
10
1989
Sur une notion de pureté pour les mesures. (On a notion of purity for measures). Zbl 0653.22006
Host, Bernard; Parreau, François
1
1988
Valeurs propres des systèmes dynamiques définis par des substitutions de longuer variable. (Eigenvalues of dynamical systems defined by substitutions of non-constant length). Zbl 0625.28011
Host, B.
53
1986
Le théorème des idempotents dans B(G). (The theorem of idempotents in B(G)). Zbl 0606.43002
Host, B.
32
1986
Analyse harmonique des mesures. Séminaire de Villetaneuse (France). (Harmonic analysis of measures). Zbl 0589.43001
Host, B.; Méla, J.-F.; Parreau, F.
16
1986
The interior of the Silov boundary of M(G) is trivial. Zbl 0445.46039
Parreau, F.; Host, B.; Graham, C. C.
1
1980
Sur les mesures dont la transformee de Fourier-Stieltjes ne tend pas vers o à l’infini. Zbl 0466.43005
Host, Bernard; Parreau, Francois
1
1979
Sur un problème de I. Glicksberg: Les idéaux fermés de type fini de \(M(G)\). Zbl 0368.43001
Host, Bernard; Parreau, François
9
1978
all top 5

Cited by 740 Authors

39 Ye, Xiangdong
33 Huang, Wen
30 Frantzikinakis, Nikos
29 Tao, Terence
26 Bergelson, Vitaly
23 Host, Bernard
20 Kra, Bryna
19 Lemańczyk, Mariusz
16 Durand, Fabien
16 Richter, Florian Karl
16 Shao, Song
15 Donoso, Sebastián
14 Moreira, Joel
14 Sun, Wenbo
13 Maass, Alejandro
11 Berthé, Valérie
11 Glasner, Eli
11 Li, Jian
11 Ziegler, Tamar
10 Bezuglyi, Sergey I.
10 Cortez, Maria Isabel
10 Koutsogiannis, Andreas
10 Leibman, Alexander
10 Oprocha, Piotr
10 Ryzhikov, Valeriĭ Valentinovich
10 Solomyak, Boris
10 Zhang, Guohua
9 Eisner, Tanja
9 Teräväinen, Joni
9 Yu, Tao
8 Gutman, Yonatan
8 Petite, Samuel
7 Austin, Tim D.
7 Ban, Jungchao
7 Hu, Wen-Guei
7 Le, Anh Ngoc
7 Lesigne, Emmanuel
7 Parreau, François
7 Robertson, Donald
7 Wang, Zhiren
7 Yassawi, Reem
6 Algom, Amir
6 Assani, Idris
6 Candela, Pablo
6 El Abdalaoui, El Houcein
6 Fan, Ai Hua
6 Green, Ben Joseph
6 Griesmer, John T.
6 Ilie, Monica
6 Kanigowski, Adam
6 Lenz, Daniel H.
6 Li, Hanfeng
6 Lian, Zhengxing
6 Lindenstrauss, Elon
6 Moragues, Andreu Ferré
6 Qiu, Jiahao
6 Wierdl, Máté
6 Xu, Leiye
6 Zorin-Kranich, Pavel
5 Damanik, David
5 de la Rue, Thierry
5 Jamneshan, Asgar
5 Kuca, Borys
5 Kułaga-Przymus, Joanna
5 Kwiatkowski, Jan
5 Li, Jie
5 Mauduit, Christian
5 Shalom, Or
5 Thuswaldner, Jörg Maximilian
5 Ulger, Ali
5 Zeitouni, Ofer
4 Bourgain, Jean
4 Chu, Qing
4 Einsiedler, Manfred Leopold
4 Hochman, Michael
4 Jørgensen, Palle E. T.
4 Julien, Antoine
4 Karpel, Olena
4 Konieczny, Jakub
4 Lai, Guanyu
4 Lau, Anthony To-Ming
4 Leroy, Julien
4 Matomäki, Kaisa
4 Medynets, Konstantin
4 Mirek, Mariusz
4 Radziwiłł, Maksym
4 Rudolph, Daniel J.
4 Runde, Volker
4 Salo, Ville O.
4 Savinien, Jean
4 Shao, Xuancheng
4 Siegel, Anne
4 Szegedy, Balázs
4 Thouvenot, Jean-Paul
4 Weiss, Benjamin
4 Yan, Kesong
4 Yuasa, Hisatoshi
4 Zamboni, Luca Quardo
3 Ackelsberg, Ethan M.
3 Adamczewski, Boris
...and 640 more Authors
all top 5

Cited in 170 Serials

116 Ergodic Theory and Dynamical Systems
57 Israel Journal of Mathematics
44 Journal d’Analyse Mathématique
34 Advances in Mathematics
32 Transactions of the American Mathematical Society
29 Discrete and Continuous Dynamical Systems
23 Journal of Functional Analysis
21 Proceedings of the American Mathematical Society
17 Journal of Mathematical Analysis and Applications
14 Discrete Analysis
13 Annales de l’Institut Fourier
13 Theoretical Computer Science
11 Monatshefte für Mathematik
10 Inventiones Mathematicae
10 Topology and its Applications
10 Journal of Dynamics and Differential Equations
10 Science China. Mathematics
9 Bulletin de la Société Mathématique de France
9 Journal of Differential Equations
9 Annals of Mathematics. Second Series
9 Dynamical Systems
8 Bulletin of the American Mathematical Society. New Series
8 Indagationes Mathematicae. New Series
7 Mathematical Notes
7 Studia Mathematica
6 Communications in Mathematical Physics
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Mathematische Zeitschrift
6 Journal of the American Mathematical Society
6 Journal de Théorie des Nombres de Bordeaux
6 Journal of the European Mathematical Society (JEMS)
6 Journal of Modern Dynamics
5 Journal of Statistical Physics
5 Nonlinearity
5 The Journal of Fourier Analysis and Applications
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Forum of Mathematics, Sigma
4 The Annals of Probability
4 Duke Mathematical Journal
4 Acta Mathematica Hungarica
4 Acta Mathematica Sinica. English Series
4 Algebra & Number Theory
3 Rocky Mountain Journal of Mathematics
3 Chaos, Solitons and Fractals
3 Functional Analysis and its Applications
3 Illinois Journal of Mathematics
3 Journal of the London Mathematical Society. Second Series
3 Mathematische Annalen
3 Mathematika
3 Memoirs of the American Mathematical Society
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Semigroup Forum
3 Transactions of the Moscow Mathematical Society
3 Advances in Applied Mathematics
3 Publicacions Matemàtiques
3 International Journal of Mathematics
3 International Journal of Foundations of Computer Science
3 Geometric and Functional Analysis. GAFA
3 The Electronic Journal of Combinatorics
3 Journal of Difference Equations and Applications
3 RAIRO. Theoretical Informatics and Applications
3 Journal of Dynamical and Control Systems
3 Stochastics and Dynamics
3 Oberwolfach Reports
3 Forum of Mathematics, Pi
3 Communications in Mathematics and Statistics
2 Bulletin of the Australian Mathematical Society
2 Journal of Mathematical Physics
2 Acta Arithmetica
2 American Journal of Mathematics
2 Bulletin of the London Mathematical Society
2 Canadian Journal of Mathematics
2 Colloquium Mathematicum
2 Dissertationes Mathematicae
2 Fundamenta Mathematicae
2 Journal of Algebra
2 Journal of Combinatorial Theory. Series A
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Nachrichten
2 Mathematica Slovaca
2 Proceedings of the London Mathematical Society. Third Series
2 Statistics & Probability Letters
2 Probability Theory and Related Fields
2 Stochastic Processes and their Applications
2 Journal of Mathematical Sciences (New York)
2 Turkish Journal of Mathematics
2 Bulletin des Sciences Mathématiques
2 Electronic Communications in Probability
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Chaos
2 Annales Henri Poincaré
2 Qualitative Theory of Dynamical Systems
2 Groups, Geometry, and Dynamics
2 Communications of the American Mathematical Society
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 International Journal of General Systems
1 Arkiv för Matematik
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
...and 70 more Serials
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Cited in 44 Fields

618 Dynamical systems and ergodic theory (37-XX)
211 Number theory (11-XX)
177 Measure and integration (28-XX)
78 General topology (54-XX)
73 Abstract harmonic analysis (43-XX)
62 Combinatorics (05-XX)
56 Computer science (68-XX)
48 Operator theory (47-XX)
47 Topological groups, Lie groups (22-XX)
47 Functional analysis (46-XX)
47 Probability theory and stochastic processes (60-XX)
29 Harmonic analysis on Euclidean spaces (42-XX)
25 Group theory and generalizations (20-XX)
21 Convex and discrete geometry (52-XX)
11 Mathematical logic and foundations (03-XX)
9 Statistical mechanics, structure of matter (82-XX)
7 Partial differential equations (35-XX)
7 Manifolds and cell complexes (57-XX)
5 General and overarching topics; collections (00-XX)
5 Difference and functional equations (39-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Information and communication theory, circuits (94-XX)
4 \(K\)-theory (19-XX)
4 Differential geometry (53-XX)
3 Real functions (26-XX)
3 Quantum theory (81-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Nonassociative rings and algebras (17-XX)
2 Sequences, series, summability (40-XX)
2 Integral equations (45-XX)
2 Mechanics of particles and systems (70-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Ordinary differential equations (34-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Mechanics of deformable solids (74-XX)

Citations by Year