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Furstenberg, Hillel

Author ID: furstenberg.hillel Recent zbMATH articles by "Furstenberg, Hillel"
Published as: Furstenberg, Hillel; Furstenberg, H.; Furstenberg, Harry; Fürstenberg, Harry
Further Spellings: הלל פורסטנברג
External Links: MacTutor · MGP · Wikidata · ResearchGate · dblp · GND · IdRef
Awards: Wolf Prize (2007) · Abel Prize (2020)
Documents Indexed: 73 Publications since 1953, including 3 Books
1 Contribution as Editor · 3 Further Contributions
Biographic References: 7 Publications
Co-Authors: 28 Co-Authors with 37 Joint Publications
1,118 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

66 Publications have been cited 3,989 times in 2,893 Documents Cited by Year
Recurrence in ergodic theory and combinatorial number theory. Zbl 0459.28023
Furstenberg, H.
658
1981
Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation. Zbl 0146.28502
Furstenberg, Harry
438
1967
Products of random matrices. Zbl 0137.35501
Furstenberg, H.; Kesten, H.
339
1960
Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions. Zbl 0347.28016
Furstenberg, Harry
324
1977
Noncommuting random products. Zbl 0203.19102
Furstenberg, H.
286
1963
Strict ergodicity and transformation of the torus. Zbl 0178.38404
Furstenberg, H.
214
1961
Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein. Zbl 0705.28008
Bourgain, Jean
183
1989
A Poisson formula for semi-simple Lie groups. Zbl 0192.12704
Furstenberg, Harry
181
1963
The structure of distal flows. Zbl 0199.27202
Furstenberg, H.
142
1963
An ergodic Szemerédi theorem for commuting transformations. Zbl 0426.28014
Furstenberg, H.; Katznelson, Y.
118
1978
Topological dynamics and combinatorial number theory. Zbl 0425.54023
Furstenberg, H.; Weiss, B.
79
1978
A density version of the Hales-Jewett theorem. Zbl 0770.05097
Furstenberg, H.; Katznelson, Y.
74
1991
Random matrix products and measures on projective spaces. Zbl 0528.60028
Furstenberg, H.; Kifer, Y.
71
1983
Algebraic functions over finite fields. Zbl 0175.03903
Furstenberg, H.
65
1967
An ergodic Szemerédi theorem for IP-systems and combinatorial theory. Zbl 0605.28012
Furstenberg, H.; Katznelson, Y.
64
1985
Ergodic fractal measures and dimension conservation. Zbl 1154.37322
Furstenberg, Hillel
62
2008
Random walks and discrete subgroups of Lie groups. Zbl 0221.22008
Furstenberg, Harry
58
1971
Boundary theory and stochastic processes on homogeneous spaces. Zbl 0289.22011
Furstenberg, Harry
51
1973
Poincaré recurrence and number theory. Zbl 0481.28013
Furstenberg, Harry
50
1981
Ergodic theory and configurations in sets of positive density. Zbl 0738.28013
Furstenberg, Hillel; Katznelson, Yitzchak; Weiss, Benjamin
49
1990
The theoretical proof of Szemerédi’s theorem. Zbl 0523.28017
Furstenberg, H.; Katznelson, Y.; Ornstein, D.
46
1982
On the infinitude of primes. Zbl 1229.11009
Furstenberg, Harry
45
1955
Idempotents in compact semigroups and Ramsey theory. Zbl 0714.05059
Furstenberg, H.; Katznelson, Y.
43
1989
Prime flows in topological dynamics. Zbl 0264.54030
Furstenberg, Harry; Keynes, Harvey B.; Shapiro, Leonard
43
1973
Stationary processes and prediction theory. Zbl 0178.53002
Furstenberg, Harry
37
1960
Nonconventional ergodic averages. Zbl 0711.28006
Furstenberg, Hillel
36
1990
A mean ergodic theorem for \({1\over N} \sum^ N_{n=1} f(T^ n x)g (T^{n^ 2} x)\). Zbl 0869.28010
Furstenberg, Hillel; Weiss, Benjamin
32
1996
The unique ergodicity of the horocycle flow. Zbl 0256.58009
Furstenberg, Harry
31
1973
A note on Borel’s density theorem. Zbl 0319.22010
Furstenberg, Harry
28
1976
Intersections of Cantor sets and transversality of semi-groups. Zbl 0208.32203
Furstenberg, H.
26
1970
Translation-invariant cones of functions on semi-simple Lie groups. Zbl 0178.16901
Furstenberg, H.
24
1965
IP-sets and polynomial recurrence. Zbl 0958.28013
Bergelson, Vitaly; Furstenberg, Hillel; McCutcheon, Randall
21
1996
Piecewise-Bohr sets of integers and combinatorial number theory. Zbl 1114.37008
Bergelson, Vitaly; Furstenberg, Hillel; Weiss, Benjamin
21
2006
The finite multipliers of infinite ergodic transformations. Zbl 0385.28009
Furstenberg, Hillel; Weiss, Benjamin
18
1978
Spherical functions and integral geometry. Zbl 0288.53049
Furstenberg, Harry; Tzkoni, Isaac
17
1971
On almost 1-1 extensions. Zbl 0676.28010
Furstenberg, Hillel; Weiss, Benjamin
16
1989
Stationary dynamical systems. Zbl 1218.22004
Furstenberg, Hillel; Glasner, Eli
15
2010
Poisson boundaries and envelopes of discrete groups. Zbl 0184.33105
Furstenberg, H.
15
1967
A density version of the Hales-Jewett theorem for \(k=3\). Zbl 0697.05006
Furstenberg, H.; Katznelson, Y.
14
1989
Markov processes and Ramsey theory for trees. Zbl 1061.05094
Furstenberg, Hillel; Weiss, Benjamin
13
2003
Stiffness of group actions. Zbl 0942.22006
Furstenberg, Hillel
12
1998
Product recurrence and distal points. Zbl 0801.54031
Auslander, Joseph; Furstenberg, H.
11
1994
IP-systems in ergodic theory. Zbl 0556.28018
Furstenberg, Hillel
11
1984
WM groups and Ramsey theory. Zbl 1231.05270
Bergelson, Vitaly; Furstenberg, Hillel
8
2009
Subset dynamics and van der Waerden’s theorem. Zbl 0914.54033
Furstenberg, H.; Glasner, E.
7
1998
\(IP_r\)-sets, Szemerédi’s theorem, and Ramsey theory. Zbl 0636.05016
Furstenberg, H.; Katznelson, Y.
7
1986
Ergodic theory and fractal geometry. Zbl 1315.37005
Furstenberg, Hillel
7
2014
Simultaneous diophantine approximation and IP-sets. Zbl 0653.10035
Furstenberg, H.; Weiss, B.
6
1988
Rigidity and cocycles for ergodic actions of semi-simple Lie groups (after G.A. Margulis and R. Zimmer). Zbl 0471.22007
Furstenberg, Harry
6
1981
An algebraic proof of van der Waerden’s theorem. Zbl 0704.22004
Bergelson, Vitaly; Furstenberg, Hillel; Hindman, Neil; Katznelson, Yitzhak
6
1989
The inverse operation in groups. Zbl 0066.01104
Furstenberg, Harry
6
1955
An application of number theory to ergodic theory and the construction of uniquely ergodic models. Zbl 0438.28019
Bellow, A.; Furstenberg, H.
6
1979
Topological properties of \(\mathbb{R}^ n\) suspensions and growth properties of \(\mathbb{Z}^ n\) cocycles. Zbl 0790.58032
Furstenberg, Hillel; Keynes, Harvey B.; Markley, Nelson G.; Sears, Michael
5
1993
Perfect filtering and double disjointness. Zbl 0832.60045
Furstenberg, Hillel; Peres, Yuval; Weiss, Benjamin
4
1995
Boundaries of Riemannian symmetric spaces. Zbl 0241.22028
Furstenberg, Harry
4
1972
Recurrent ergodic structures and Ramsey theory. Zbl 0751.60032
Furstenberg, Hillel
3
1991
On the existence of isometric extensions. Zbl 0425.54022
Furstenberg, Harry; Glasner, Shmuel
3
1978
Ergodic structures and non-conventional ergodic theorems. Zbl 1325.37008
Furstenberg, Hillel
3
2011
Eigenmeasures, equidistribution, and the multiplicity of \(\beta\)-expansions. Zbl 1108.11055
Furstenberg, Hillel; Katznelson, Yitzhak
2
2004
Recurrence for stationary group actions. Zbl 1264.22002
Furstenberg, Hillel; Glasner, Eli
2
2013
Boundaries of Lie groups and discrete subgroups. Zbl 0244.22010
Furstenberg, Harry
2
1971
Robert Ellis and the algebra of dynamical systems. Zbl 0898.54029
Furstenberg, H.; Glasner, E.
1
1998
The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048
Stewart, Ian; Mumford, David; Howe, Roger; Furstenberg, Hillel; Falconer, Kenneth; West, Bruce J.; Coppens, Marc-Olivier; Cohen, Nathan; Jaffard, Stéphane; Berry, Michael; Frame, Michael
1
2012
Random walks on Lie groups. Zbl 0466.60008
Furstenberg, Harry
1
1980
Interview with Abel laureate 2020 Hillel Furstenberg. Zbl 1454.01036
Dundas, Bjørn Ian; Skau, Christian F.
1
2020
Poincaré recurrence and number theory. Zbl 0536.28009
Furstenberg, Harry
1
1983
Interview with Abel laureate 2020 Hillel Furstenberg. Zbl 1454.01036
Dundas, Bjørn Ian; Skau, Christian F.
1
2020
Ergodic theory and fractal geometry. Zbl 1315.37005
Furstenberg, Hillel
7
2014
Recurrence for stationary group actions. Zbl 1264.22002
Furstenberg, Hillel; Glasner, Eli
2
2013
The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048
Stewart, Ian; Mumford, David; Howe, Roger; Furstenberg, Hillel; Falconer, Kenneth; West, Bruce J.; Coppens, Marc-Olivier; Cohen, Nathan; Jaffard, Stéphane; Berry, Michael; Frame, Michael
1
2012
Ergodic structures and non-conventional ergodic theorems. Zbl 1325.37008
Furstenberg, Hillel
3
2011
Stationary dynamical systems. Zbl 1218.22004
Furstenberg, Hillel; Glasner, Eli
15
2010
WM groups and Ramsey theory. Zbl 1231.05270
Bergelson, Vitaly; Furstenberg, Hillel
8
2009
Ergodic fractal measures and dimension conservation. Zbl 1154.37322
Furstenberg, Hillel
62
2008
Piecewise-Bohr sets of integers and combinatorial number theory. Zbl 1114.37008
Bergelson, Vitaly; Furstenberg, Hillel; Weiss, Benjamin
21
2006
Eigenmeasures, equidistribution, and the multiplicity of \(\beta\)-expansions. Zbl 1108.11055
Furstenberg, Hillel; Katznelson, Yitzhak
2
2004
Markov processes and Ramsey theory for trees. Zbl 1061.05094
Furstenberg, Hillel; Weiss, Benjamin
13
2003
Stiffness of group actions. Zbl 0942.22006
Furstenberg, Hillel
12
1998
Subset dynamics and van der Waerden’s theorem. Zbl 0914.54033
Furstenberg, H.; Glasner, E.
7
1998
Robert Ellis and the algebra of dynamical systems. Zbl 0898.54029
Furstenberg, H.; Glasner, E.
1
1998
A mean ergodic theorem for \({1\over N} \sum^ N_{n=1} f(T^ n x)g (T^{n^ 2} x)\). Zbl 0869.28010
Furstenberg, Hillel; Weiss, Benjamin
32
1996
IP-sets and polynomial recurrence. Zbl 0958.28013
Bergelson, Vitaly; Furstenberg, Hillel; McCutcheon, Randall
21
1996
Perfect filtering and double disjointness. Zbl 0832.60045
Furstenberg, Hillel; Peres, Yuval; Weiss, Benjamin
4
1995
Product recurrence and distal points. Zbl 0801.54031
Auslander, Joseph; Furstenberg, H.
11
1994
Topological properties of \(\mathbb{R}^ n\) suspensions and growth properties of \(\mathbb{Z}^ n\) cocycles. Zbl 0790.58032
Furstenberg, Hillel; Keynes, Harvey B.; Markley, Nelson G.; Sears, Michael
5
1993
A density version of the Hales-Jewett theorem. Zbl 0770.05097
Furstenberg, H.; Katznelson, Y.
74
1991
Recurrent ergodic structures and Ramsey theory. Zbl 0751.60032
Furstenberg, Hillel
3
1991
Ergodic theory and configurations in sets of positive density. Zbl 0738.28013
Furstenberg, Hillel; Katznelson, Yitzchak; Weiss, Benjamin
49
1990
Nonconventional ergodic averages. Zbl 0711.28006
Furstenberg, Hillel
36
1990
Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein. Zbl 0705.28008
Bourgain, Jean
183
1989
Idempotents in compact semigroups and Ramsey theory. Zbl 0714.05059
Furstenberg, H.; Katznelson, Y.
43
1989
On almost 1-1 extensions. Zbl 0676.28010
Furstenberg, Hillel; Weiss, Benjamin
16
1989
A density version of the Hales-Jewett theorem for \(k=3\). Zbl 0697.05006
Furstenberg, H.; Katznelson, Y.
14
1989
An algebraic proof of van der Waerden’s theorem. Zbl 0704.22004
Bergelson, Vitaly; Furstenberg, Hillel; Hindman, Neil; Katznelson, Yitzhak
6
1989
Simultaneous diophantine approximation and IP-sets. Zbl 0653.10035
Furstenberg, H.; Weiss, B.
6
1988
\(IP_r\)-sets, Szemerédi’s theorem, and Ramsey theory. Zbl 0636.05016
Furstenberg, H.; Katznelson, Y.
7
1986
An ergodic Szemerédi theorem for IP-systems and combinatorial theory. Zbl 0605.28012
Furstenberg, H.; Katznelson, Y.
64
1985
IP-systems in ergodic theory. Zbl 0556.28018
Furstenberg, Hillel
11
1984
Random matrix products and measures on projective spaces. Zbl 0528.60028
Furstenberg, H.; Kifer, Y.
71
1983
Poincaré recurrence and number theory. Zbl 0536.28009
Furstenberg, Harry
1
1983
The theoretical proof of Szemerédi’s theorem. Zbl 0523.28017
Furstenberg, H.; Katznelson, Y.; Ornstein, D.
46
1982
Recurrence in ergodic theory and combinatorial number theory. Zbl 0459.28023
Furstenberg, H.
658
1981
Poincaré recurrence and number theory. Zbl 0481.28013
Furstenberg, Harry
50
1981
Rigidity and cocycles for ergodic actions of semi-simple Lie groups (after G.A. Margulis and R. Zimmer). Zbl 0471.22007
Furstenberg, Harry
6
1981
Random walks on Lie groups. Zbl 0466.60008
Furstenberg, Harry
1
1980
An application of number theory to ergodic theory and the construction of uniquely ergodic models. Zbl 0438.28019
Bellow, A.; Furstenberg, H.
6
1979
An ergodic Szemerédi theorem for commuting transformations. Zbl 0426.28014
Furstenberg, H.; Katznelson, Y.
118
1978
Topological dynamics and combinatorial number theory. Zbl 0425.54023
Furstenberg, H.; Weiss, B.
79
1978
The finite multipliers of infinite ergodic transformations. Zbl 0385.28009
Furstenberg, Hillel; Weiss, Benjamin
18
1978
On the existence of isometric extensions. Zbl 0425.54022
Furstenberg, Harry; Glasner, Shmuel
3
1978
Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions. Zbl 0347.28016
Furstenberg, Harry
324
1977
A note on Borel’s density theorem. Zbl 0319.22010
Furstenberg, Harry
28
1976
Boundary theory and stochastic processes on homogeneous spaces. Zbl 0289.22011
Furstenberg, Harry
51
1973
Prime flows in topological dynamics. Zbl 0264.54030
Furstenberg, Harry; Keynes, Harvey B.; Shapiro, Leonard
43
1973
The unique ergodicity of the horocycle flow. Zbl 0256.58009
Furstenberg, Harry
31
1973
Boundaries of Riemannian symmetric spaces. Zbl 0241.22028
Furstenberg, Harry
4
1972
Random walks and discrete subgroups of Lie groups. Zbl 0221.22008
Furstenberg, Harry
58
1971
Spherical functions and integral geometry. Zbl 0288.53049
Furstenberg, Harry; Tzkoni, Isaac
17
1971
Boundaries of Lie groups and discrete subgroups. Zbl 0244.22010
Furstenberg, Harry
2
1971
Intersections of Cantor sets and transversality of semi-groups. Zbl 0208.32203
Furstenberg, H.
26
1970
Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation. Zbl 0146.28502
Furstenberg, Harry
438
1967
Algebraic functions over finite fields. Zbl 0175.03903
Furstenberg, H.
65
1967
Poisson boundaries and envelopes of discrete groups. Zbl 0184.33105
Furstenberg, H.
15
1967
Translation-invariant cones of functions on semi-simple Lie groups. Zbl 0178.16901
Furstenberg, H.
24
1965
Noncommuting random products. Zbl 0203.19102
Furstenberg, H.
286
1963
A Poisson formula for semi-simple Lie groups. Zbl 0192.12704
Furstenberg, Harry
181
1963
The structure of distal flows. Zbl 0199.27202
Furstenberg, H.
142
1963
Strict ergodicity and transformation of the torus. Zbl 0178.38404
Furstenberg, H.
214
1961
Products of random matrices. Zbl 0137.35501
Furstenberg, H.; Kesten, H.
339
1960
Stationary processes and prediction theory. Zbl 0178.53002
Furstenberg, Harry
37
1960
On the infinitude of primes. Zbl 1229.11009
Furstenberg, Harry
45
1955
The inverse operation in groups. Zbl 0066.01104
Furstenberg, Harry
6
1955
all top 5

Cited by 2,576 Authors

76 Bergelson, Vitaly
47 Glasner, Eli
47 Hindman, Neil
43 Ye, Xiangdong
40 Huang, Wen
33 Lemańczyk, Mariusz
32 Weiss, Benjamin
27 Tao, Terence
26 Furstenberg, Hillel
24 Frantzikinakis, Nikos
23 Strauss, Dona
22 Shao, Song
21 Oprocha, Piotr
20 Kifer, Yuri
19 Berend, Daniel
19 Host, Bernard
18 Dai, Xiongping
17 Li, Jian
16 Kra, Bryna
16 Kułaga-Przymus, Joanna
16 Leibman, Alexander
15 Fish, Alexander
15 Peres, Yuval
14 Björklund, Michael
14 Obaya, Rafael
14 Ziegler, Tamar
14 Zimmer, Robert J.
13 Fraser, Jonathan MacDonald
13 Johnson, Russell Allan
13 Koutsogiannis, Andreas
13 Lesigne, Emmanuel
13 Lindenstrauss, Elon
13 McCutcheon, Randall G.
13 Moreira, Joel
13 Shmerkin, Pablo S.
13 Yu, Han
12 Boshernitzan, Michael D.
12 Rodl, Vojtech
12 Zhang, Guohua
11 Austin, Tim D.
11 Bourgain, Jean
11 Danilenko, Alexandre I.
11 Einsiedler, Manfred Leopold
11 Käenmäki, Antti
11 Patra, Sourav Kanti
11 Rudolph, Daniel J.
10 Guivarc’h, Yves
10 Peris, Alfredo
10 Richter, Florian Karl
10 Solomyak, Boris
10 Sun, Wenbo
10 Tiozzo, Giulio
10 Tyros, Konstantinos
10 Viana, Marcelo
9 Benoist, Yves
9 de la Rue, Thierry
9 Downarowicz, Tomasz
9 Goswami, Sayan
9 Grama, Ion G.
9 Hochman, Michael
9 Iosevich, Alex
9 Kaimanovich, Vadim A.
9 Keynes, Harvey Bayard
9 Kwietniak, Dominik
9 Magyar, Akos
9 Quint, Jean-François
9 Veech, William Austin
8 Auslander, Joseph
8 Ban, Jungchao
8 Damanik, David
8 Dodos, Pandelis
8 Donoso, Sebastián
8 Ellis, Robert Mortimer
8 Hartman, Yair
8 Katznelson, Yitzhak
8 Ledrappier, François
8 Parry, William
8 Petersen, Karl E.
8 Tamuz, Omer
8 Tootkaboni, Mohammad Akbari
8 Yu, Tao
7 Assani, Idris
7 Bader, Uri
7 Blumenthal, Alex
7 Cohen, Joel E.
7 Cuny, Christophe
7 Dani, Shrikrishna Gopalrao
7 Duarte, Pedro
7 Duvenhage, Rocco
7 Eisner, Tanja
7 Fan, Ai Hua
7 García-Ferreira, Salvador
7 Griesmer, John T.
7 Grivaux, Sophie
7 Jin, Renling
7 Kanellopoulos, Vassilis
7 Kovač, Vjekoslav
7 Le, Anh Ngoc
7 Liu, Quansheng
7 Ratner, Marina
...and 2,476 more Authors
all top 5

Cited in 395 Serials

230 Ergodic Theory and Dynamical Systems
195 Israel Journal of Mathematics
123 Transactions of the American Mathematical Society
92 Journal d’Analyse Mathématique
87 Proceedings of the American Mathematical Society
73 Topology and its Applications
69 Advances in Mathematics
48 Communications in Mathematical Physics
44 Inventiones Mathematicae
42 Journal of Functional Analysis
38 Journal of Mathematical Analysis and Applications
37 Journal of Combinatorial Theory. Series A
37 Discrete and Continuous Dynamical Systems
35 Monatshefte für Mathematik
32 Duke Mathematical Journal
30 Probability Theory and Related Fields
29 Journal of Differential Equations
29 Semigroup Forum
28 Journal of Statistical Physics
27 Annals of Mathematics. Second Series
26 Journal of Number Theory
24 Bulletin of the American Mathematical Society. New Series
22 Chaos, Solitons and Fractals
22 Annales de l’Institut Fourier
22 Mathematische Zeitschrift
21 The Annals of Probability
20 Mathematische Annalen
20 Theoretical Computer Science
20 Journal of the European Mathematical Society (JEMS)
19 Bulletin de la Société Mathématique de France
19 Compositio Mathematica
18 Geometric and Functional Analysis. GAFA
18 Bulletin of the American Mathematical Society
18 Journal of Modern Dynamics
17 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
17 Stochastic Processes and their Applications
17 Indagationes Mathematicae. New Series
16 Mathematical Proceedings of the Cambridge Philosophical Society
16 Stochastics and Dynamics
15 Discrete Mathematics
15 Nonlinearity
15 Journal of Algebra
15 Journal of Theoretical Probability
14 Mathematical Notes
14 Mathematical Systems Theory
14 Combinatorics, Probability and Computing
14 The Electronic Journal of Combinatorics
14 Journal of Difference Equations and Applications
14 Integers
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Discrete Analysis
13 Theoretical Population Biology
13 Linear Algebra and its Applications
13 Journal of Dynamics and Differential Equations
13 Science China. Mathematics
12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Journal of the American Mathematical Society
12 Dynamical Systems
12 Forum of Mathematics, Sigma
11 Journal of Mathematical Physics
11 European Journal of Combinatorics
11 Combinatorica
11 Acta Mathematica Sinica. English Series
10 Functional Analysis and its Applications
10 The Annals of Applied Probability
10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Illinois Journal of Mathematics
9 Publications Mathématiques
9 Journal of the London Mathematical Society. Second Series
9 Statistics & Probability Letters
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 International Journal of Number Theory
8 American Mathematical Monthly
8 Studia Mathematica
8 Acta Mathematica
8 Integral Equations and Operator Theory
8 Mathematika
8 Advances in Applied Mathematics
8 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
8 Groups, Geometry, and Dynamics
8 Communications in Mathematics and Statistics
7 Geometriae Dedicata
7 Journal of Soviet Mathematics
7 Acta Mathematica Hungarica
7 Journal of Mathematical Sciences (New York)
7 Geometry & Topology
6 Arkiv för Matematik
6 Acta Arithmetica
6 Archiv der Mathematik
6 Journal für die Reine und Angewandte Mathematik
6 Memoirs of the American Mathematical Society
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Proceedings of the London Mathematical Society. Third Series
6 Journal de Théorie des Nombres de Bordeaux
6 Chaos
6 Annales Henri Poincaré
6 Qualitative Theory of Dynamical Systems
5 Bulletin of the Australian Mathematical Society
5 Journal of Mathematical Biology
5 Rocky Mountain Journal of Mathematics
...and 295 more Serials
all top 5

Cited in 62 Fields

1,315 Dynamical systems and ergodic theory (37-XX)
568 Measure and integration (28-XX)
524 Number theory (11-XX)
466 Probability theory and stochastic processes (60-XX)
341 General topology (54-XX)
334 Combinatorics (05-XX)
331 Topological groups, Lie groups (22-XX)
154 Group theory and generalizations (20-XX)
153 Abstract harmonic analysis (43-XX)
145 Operator theory (47-XX)
116 Functional analysis (46-XX)
95 Linear and multilinear algebra; matrix theory (15-XX)
87 Computer science (68-XX)
69 Differential geometry (53-XX)
62 Convex and discrete geometry (52-XX)
62 Manifolds and cell complexes (57-XX)
61 Statistical mechanics, structure of matter (82-XX)
56 Mathematical logic and foundations (03-XX)
53 Ordinary differential equations (34-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
41 Global analysis, analysis on manifolds (58-XX)
40 Partial differential equations (35-XX)
37 Several complex variables and analytic spaces (32-XX)
32 Potential theory (31-XX)
31 Functions of a complex variable (30-XX)
31 Statistics (62-XX)
31 Biology and other natural sciences (92-XX)
29 Algebraic geometry (14-XX)
28 Commutative algebra (13-XX)
28 Quantum theory (81-XX)
27 Systems theory; control (93-XX)
25 Difference and functional equations (39-XX)
19 Special functions (33-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Geometry (51-XX)
16 Real functions (26-XX)
16 Sequences, series, summability (40-XX)
16 Numerical analysis (65-XX)
15 Field theory and polynomials (12-XX)
14 Associative rings and algebras (16-XX)
13 General and overarching topics; collections (00-XX)
13 Mechanics of deformable solids (74-XX)
13 Information and communication theory, circuits (94-XX)
11 History and biography (01-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
10 Approximations and expansions (41-XX)
8 Fluid mechanics (76-XX)
7 Integral transforms, operational calculus (44-XX)
7 Mechanics of particles and systems (70-XX)
6 Integral equations (45-XX)
5 Algebraic topology (55-XX)
5 Operations research, mathematical programming (90-XX)
4 Nonassociative rings and algebras (17-XX)
4 \(K\)-theory (19-XX)
3 General algebraic systems (08-XX)
3 Category theory; homological algebra (18-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Mathematics education (97-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

Citations by Year

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