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Ornstein, Donald Samuel

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Author ID: ornstein.donald-samuel Recent zbMATH articles by "Ornstein, Donald Samuel"
Published as: Ornstein, Donald S.; Ornstein, D. S.; Ornstein, Donald; Ornstein, D.; Ornstein, Donald Samuel; Ornstein, Don
Homepage: https://mathematics.stanford.edu/people/name/donald-ornstein/
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 93 Publications since 1959, including 2 Books
1 Further Contribution
Co-Authors: 20 Co-Authors with 50 Joint Publications
648 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 2,068 times in 1,451 Documents Cited by Year
Entropy and isomorphism theorems for actions of amenable groups. Zbl 0637.28015
Ornstein, Donald S.; Weiss, Benjamin
240
1987
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
153
1989
Bernoulli shifts with the same entropy are isomorphic. Zbl 0197.33502
Ornstein, D.
138
1970
Ergodic theory, randomness, and dynamical systems. Zbl 0296.28016
Ornstein, Donald S.
134
1974
Ergodic theory of amenable group actions. I: The Rohlin lemma. Zbl 0427.28018
Ornstein, Donald S.; Weiss, Benjamin
128
1980
On isomorphism of weak Bernoulli transformations. Zbl 0203.05801
Friedman, N. A.; Ornstein, D. S.
108
1971
A non-inequality for differential operators in the \(L_ 1\) norm. Zbl 0106.29602
Ornstein, Donald
86
1962
The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033
Katznelson, Y.; Ornstein, D.
76
1989
A general ergodic theorem. Zbl 0134.12102
Chacon, R. V.; Ornstein, D. S.
69
1960
Two Bernoulli shifts with infinite entropy are isomorphic. Zbl 0227.28014
Ornstein, Donald
67
1971
Entropy and data compression schemes. Zbl 0764.94003
Ornstein, Donald Samuel; Weiss, Benjamin
65
1993
Billiards and Bernoulli schemes. Zbl 0313.58017
Gallavotti, Giovanni; Ornstein, Donald S.
65
1974
Factors of Bernoulli shifts are Bernoulli shifts. Zbl 0227.28015
Ornstein, Donald
50
1971
An operator theorem on L\(_1\) convergence to zero with applications to Markov kernels. Zbl 0284.60068
Ornstein, Donald; Sucheston, Louis
46
1970
Equivalence of measure preserving transformations. Zbl 0504.28019
Ornstein, Donald S.; Rudolph, Daniel J.; Weiss, Benjamin
44
1982
The theoretical proof of Szemerédi’s theorem. Zbl 0523.28017
Furstenberg, H.; Katznelson, Y.; Ornstein, D.
43
1982
How sampling reveals a process. Zbl 0709.60036
Ornstein, Donald S.; Weiss, Benjamin
37
1990
Geodesic flows are Bernoullian. Zbl 0256.58006
Ornstein, Donald; Weiss, Benjamin
36
1973
The Shannon-McMillan-Breiman theorem for a class of amenable groups. Zbl 0516.28020
Ornstein, Donald; Weiss, Benjamin
32
1983
Statistical properties of chaotic systems. Zbl 0718.58038
Ornstein, D. S.; Weiss, B.
31
1991
An uncountable family of K-automorphisms. Zbl 0251.28004
Ornstein, Donald S.; Shields, Paul C.
26
1973
Random walks. I, II. Zbl 0181.44501
Ornstein, D. S.
26
1969
On invariant measures. Zbl 0154.30502
Ornstein, D. S.
24
1960
Cutting and stacking, interval exchanges and geometric models. Zbl 0558.58019
Arnoux, Pierre; Ornstein, Donald S.; Weiss, Benjamin
23
1985
Imbedding Bernoulli shifts in flows. Zbl 0227.28013
Ornstein, D. S.
22
1970
An application of ergodic theory to probability theory. Zbl 0282.28009
Ornstein, Donald S.
22
1973
On the Bernoulli nature of systems with some hyperbolic structure. Zbl 0915.58076
Ornstein, Donald; Weiss, Benjamin
20
1998
An example of a Kolmogorov automorphism that is not a Bernoulli shift. Zbl 0245.28011
Ornstein, Donald S.
20
1973
Finitely determined implies very weak Bernoulli. Zbl 0283.60072
Ornstein, Donald S.; Weiss, Benjamin
20
1974
The isomorphism theorem for Bernoulli flows. Zbl 0265.28011
Ornstein, Donald S.
19
1973
On the pointwise behavior of iterates of a self-adjoint operator. Zbl 0182.47103
Ornstein, D.
17
1969
Guessing the next output of a stationary process. Zbl 0386.60032
Ornstein, Donald S.
16
1978
A K-automorphism with no square root and Pinsker’s conjecture. Zbl 0248.28010
Ornstein, Donald S.
16
1973
Every transformation is bilaterally deterministic. Zbl 0325.28016
Ornstein, Donald S.; Weiss, Benjamin
16
1975
Factors of Bernoulli shifts. Zbl 0326.28029
Ornstein, Donald S.
14
1975
On the existence of stationary optimal strategies. Zbl 0181.47103
Ornstein, D.
14
1969
A remark on the Birkhoff ergodic theorem. Zbl 0212.40102
Ornstein, D.
14
1971
A mixing transformation for which Pinsker’s conjecture fails. Zbl 0248.28011
Ornstein, Donald S.
13
1973
Mixing Markov shifts of kernel type are Bernoulli. Zbl 0252.28009
Ornstein, D. S.; Shields, P. C.
13
1973
Newton’s laws and coin tossing. Zbl 1358.37007
Ornstein, Don
13
2013
On mixing and partial mixing. Zbl 0224.28012
Friedman, N. A.; Ornstein, D. S.
12
1972
On the root problem in ergodic theory. Zbl 0262.28009
Ornstein, Donald S.
12
1972
Semirigidity of horocycle flows over compact surfaces of variable negative curvature. Zbl 0633.58024
Feldman, J.; Ornstein, D.
12
1987
On partially mixing transformations. Zbl 0213.07504
Friedman, N. A.; Ornstein, D. S.
12
1971
The sums of iterates of a positive operator. Zbl 0321.28013
Ornstein, Donald
10
1970
Ergodic theory, randomness, and “chaos”. Zbl 1226.37018
Ornstein, D. S.
9
1989
Entropy and recurrence rates for stationary random fields. Zbl 1061.94011
Ornstein, Donald; Weiss, Benjamin
9
2002
Subsequence ergodic theorems for amenable groups. Zbl 0802.28014
Ornstein, Donald; Weiss, Benjamin
8
1992
Ergodic transformations induce mixing transformations. Zbl 0246.28011
Friedman, N. A.; Ornstein, D. S.
8
1973
Entropy is the only finitely observable invariant. Zbl 1109.37005
Ornstein, Donald; Weiss, Benjamin
8
2007
Dual vector spaces. Zbl 0088.31701
Ornstein, Donald
8
1959
Unilateral codings of Bernoulli systems. Zbl 0323.28008
Ornstein, Donald S.; Weiss, Benjamin
7
1975
Ergodic flows of positive entropy can be time changed to become K-flows. Zbl 0346.28011
Ornstein, D. S.; Smorodinsky, M.
7
1977
Universal almost sure data compression. Zbl 0699.94004
Ornstein, Donald S.; Shields, Paul C.
7
1990
On the recurrence of sums of random variables. Zbl 0104.11904
Chung, K. L.; Ornstein, Donald
7
1962
Block synchronization, sliding-block coding, invulnerable sources and zero error codes for discrete noisy channels. Zbl 0453.94010
Gray, R. M.; Ornstein, D. S.; Dobrushin, R. L.
6
1980
Some new results in the Kolmogorov-Sinai theory of entropy and ergodic theory. Zbl 0269.60032
Ornstein, Donald S.
6
1971
Mean distality and tightness. Zbl 1072.37004
Ornstein, D.; Weiss, B.
6
2004
Continuous speed changes for flows. Zbl 0399.58003
Ornstein, D. S.; Smorodinsky, M.
5
1978
Block coding for discrete stationary \(\bar d\)-continuous noisy channels. Zbl 0398.94013
Gray, Robert M.; Ornstein, Donald S.
4
1979
An example of a Kolmogorov automorphism that is not a Bernoulli shift. Zbl 0224.28011
Ornstein, D.
4
1971
On the lottery problem. Zbl 0139.01005
Hanani, H.; Ornstein, D.; Sós, Vera T.
4
1964
Imbedding Bernoulli shifts in flows. Zbl 0228.28016
Ornstein, D. S.
3
1971
The \(\bar d\)-recognition of processes. Zbl 0801.60033
Ornstein, Donald S.; Shields, Paul C.
3
1994
Any flow is an orbit factor of any flow. Zbl 0585.28007
Ornstein, Donald; Weiss, Benjamin
3
1984
The differentiability of transition functions. Zbl 0094.13003
Ornstein, Donald
3
1960
On the existence of a \(\sigma\)-finite invariant measure under a generalized Harris condition. Zbl 0214.17101
Ornstein, D. S.; Sucheston, L.
3
1970
Sliding-block joint source/noisy-channel coding theorems. Zbl 0348.94019
Gray, Robert M.; Ornstein, Donald S.
2
1976
A new method for twist theorems. Zbl 0795.28013
Katznelson, Yitzhak; Ornstein, Donald S.
2
1993
Twist maps and Aubry-Mather sets. Zbl 0890.58032
Katznelson, Y.; Ornstein, D. S.
2
1997
A general property of random walk. Zbl 0111.32701
Kesten, H.; Ornstein, D.; Spitzer, F.
2
1962
On a theorem of Orey. Zbl 0181.39802
Ornstein, D.
2
1969
A new proof of the paracompactness of metric spaces. Zbl 0181.50904
Ornstein, Donald
2
1969
A limit theorem for independent random variables. Zbl 0211.49201
Ornstein, D.
2
1967
Von Neumann and ergodic theory. Zbl 0719.47002
Ornstein, Donald S.
2
1990
Measure-preserving transformations and random processes. Zbl 0233.28019
Ornstein, D. S.
1
1971
Nonblock source coding with a fidelity criterion. Zbl 0313.94006
Gray, Robert M.; Neuhoff, David L.; Ornstein, Donald S.
1
1975
What does it mean for a mechanical system to be isomorphic to the Bernoulli flow? Zbl 0333.28008
Ornstein, Donald S.
1
1975
Newton’s laws and coin tossing. Zbl 1358.37007
Ornstein, Don
13
2013
Entropy is the only finitely observable invariant. Zbl 1109.37005
Ornstein, Donald; Weiss, Benjamin
8
2007
Mean distality and tightness. Zbl 1072.37004
Ornstein, D.; Weiss, B.
6
2004
Entropy and recurrence rates for stationary random fields. Zbl 1061.94011
Ornstein, Donald; Weiss, Benjamin
9
2002
On the Bernoulli nature of systems with some hyperbolic structure. Zbl 0915.58076
Ornstein, Donald; Weiss, Benjamin
20
1998
Twist maps and Aubry-Mather sets. Zbl 0890.58032
Katznelson, Y.; Ornstein, D. S.
2
1997
The \(\bar d\)-recognition of processes. Zbl 0801.60033
Ornstein, Donald S.; Shields, Paul C.
3
1994
Entropy and data compression schemes. Zbl 0764.94003
Ornstein, Donald Samuel; Weiss, Benjamin
65
1993
A new method for twist theorems. Zbl 0795.28013
Katznelson, Yitzhak; Ornstein, Donald S.
2
1993
Subsequence ergodic theorems for amenable groups. Zbl 0802.28014
Ornstein, Donald; Weiss, Benjamin
8
1992
Statistical properties of chaotic systems. Zbl 0718.58038
Ornstein, D. S.; Weiss, B.
31
1991
How sampling reveals a process. Zbl 0709.60036
Ornstein, Donald S.; Weiss, Benjamin
37
1990
Universal almost sure data compression. Zbl 0699.94004
Ornstein, Donald S.; Shields, Paul C.
7
1990
Von Neumann and ergodic theory. Zbl 0719.47002
Ornstein, Donald S.
2
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
153
1989
The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033
Katznelson, Y.; Ornstein, D.
76
1989
Ergodic theory, randomness, and “chaos”. Zbl 1226.37018
Ornstein, D. S.
9
1989
Entropy and isomorphism theorems for actions of amenable groups. Zbl 0637.28015
Ornstein, Donald S.; Weiss, Benjamin
240
1987
Semirigidity of horocycle flows over compact surfaces of variable negative curvature. Zbl 0633.58024
Feldman, J.; Ornstein, D.
12
1987
Cutting and stacking, interval exchanges and geometric models. Zbl 0558.58019
Arnoux, Pierre; Ornstein, Donald S.; Weiss, Benjamin
23
1985
Any flow is an orbit factor of any flow. Zbl 0585.28007
Ornstein, Donald; Weiss, Benjamin
3
1984
The Shannon-McMillan-Breiman theorem for a class of amenable groups. Zbl 0516.28020
Ornstein, Donald; Weiss, Benjamin
32
1983
Equivalence of measure preserving transformations. Zbl 0504.28019
Ornstein, Donald S.; Rudolph, Daniel J.; Weiss, Benjamin
44
1982
The theoretical proof of Szemerédi’s theorem. Zbl 0523.28017
Furstenberg, H.; Katznelson, Y.; Ornstein, D.
43
1982
Ergodic theory of amenable group actions. I: The Rohlin lemma. Zbl 0427.28018
Ornstein, Donald S.; Weiss, Benjamin
128
1980
Block synchronization, sliding-block coding, invulnerable sources and zero error codes for discrete noisy channels. Zbl 0453.94010
Gray, R. M.; Ornstein, D. S.; Dobrushin, R. L.
6
1980
Block coding for discrete stationary \(\bar d\)-continuous noisy channels. Zbl 0398.94013
Gray, Robert M.; Ornstein, Donald S.
4
1979
Guessing the next output of a stationary process. Zbl 0386.60032
Ornstein, Donald S.
16
1978
Continuous speed changes for flows. Zbl 0399.58003
Ornstein, D. S.; Smorodinsky, M.
5
1978
Ergodic flows of positive entropy can be time changed to become K-flows. Zbl 0346.28011
Ornstein, D. S.; Smorodinsky, M.
7
1977
Sliding-block joint source/noisy-channel coding theorems. Zbl 0348.94019
Gray, Robert M.; Ornstein, Donald S.
2
1976
Every transformation is bilaterally deterministic. Zbl 0325.28016
Ornstein, Donald S.; Weiss, Benjamin
16
1975
Factors of Bernoulli shifts. Zbl 0326.28029
Ornstein, Donald S.
14
1975
Unilateral codings of Bernoulli systems. Zbl 0323.28008
Ornstein, Donald S.; Weiss, Benjamin
7
1975
Nonblock source coding with a fidelity criterion. Zbl 0313.94006
Gray, Robert M.; Neuhoff, David L.; Ornstein, Donald S.
1
1975
What does it mean for a mechanical system to be isomorphic to the Bernoulli flow? Zbl 0333.28008
Ornstein, Donald S.
1
1975
Ergodic theory, randomness, and dynamical systems. Zbl 0296.28016
Ornstein, Donald S.
134
1974
Billiards and Bernoulli schemes. Zbl 0313.58017
Gallavotti, Giovanni; Ornstein, Donald S.
65
1974
Finitely determined implies very weak Bernoulli. Zbl 0283.60072
Ornstein, Donald S.; Weiss, Benjamin
20
1974
Geodesic flows are Bernoullian. Zbl 0256.58006
Ornstein, Donald; Weiss, Benjamin
36
1973
An uncountable family of K-automorphisms. Zbl 0251.28004
Ornstein, Donald S.; Shields, Paul C.
26
1973
An application of ergodic theory to probability theory. Zbl 0282.28009
Ornstein, Donald S.
22
1973
An example of a Kolmogorov automorphism that is not a Bernoulli shift. Zbl 0245.28011
Ornstein, Donald S.
20
1973
The isomorphism theorem for Bernoulli flows. Zbl 0265.28011
Ornstein, Donald S.
19
1973
A K-automorphism with no square root and Pinsker’s conjecture. Zbl 0248.28010
Ornstein, Donald S.
16
1973
A mixing transformation for which Pinsker’s conjecture fails. Zbl 0248.28011
Ornstein, Donald S.
13
1973
Mixing Markov shifts of kernel type are Bernoulli. Zbl 0252.28009
Ornstein, D. S.; Shields, P. C.
13
1973
Ergodic transformations induce mixing transformations. Zbl 0246.28011
Friedman, N. A.; Ornstein, D. S.
8
1973
On mixing and partial mixing. Zbl 0224.28012
Friedman, N. A.; Ornstein, D. S.
12
1972
On the root problem in ergodic theory. Zbl 0262.28009
Ornstein, Donald S.
12
1972
On isomorphism of weak Bernoulli transformations. Zbl 0203.05801
Friedman, N. A.; Ornstein, D. S.
108
1971
Two Bernoulli shifts with infinite entropy are isomorphic. Zbl 0227.28014
Ornstein, Donald
67
1971
Factors of Bernoulli shifts are Bernoulli shifts. Zbl 0227.28015
Ornstein, Donald
50
1971
A remark on the Birkhoff ergodic theorem. Zbl 0212.40102
Ornstein, D.
14
1971
On partially mixing transformations. Zbl 0213.07504
Friedman, N. A.; Ornstein, D. S.
12
1971
Some new results in the Kolmogorov-Sinai theory of entropy and ergodic theory. Zbl 0269.60032
Ornstein, Donald S.
6
1971
An example of a Kolmogorov automorphism that is not a Bernoulli shift. Zbl 0224.28011
Ornstein, D.
4
1971
Imbedding Bernoulli shifts in flows. Zbl 0228.28016
Ornstein, D. S.
3
1971
Measure-preserving transformations and random processes. Zbl 0233.28019
Ornstein, D. S.
1
1971
Bernoulli shifts with the same entropy are isomorphic. Zbl 0197.33502
Ornstein, D.
138
1970
An operator theorem on L\(_1\) convergence to zero with applications to Markov kernels. Zbl 0284.60068
Ornstein, Donald; Sucheston, Louis
46
1970
Imbedding Bernoulli shifts in flows. Zbl 0227.28013
Ornstein, D. S.
22
1970
The sums of iterates of a positive operator. Zbl 0321.28013
Ornstein, Donald
10
1970
On the existence of a \(\sigma\)-finite invariant measure under a generalized Harris condition. Zbl 0214.17101
Ornstein, D. S.; Sucheston, L.
3
1970
Random walks. I, II. Zbl 0181.44501
Ornstein, D. S.
26
1969
On the pointwise behavior of iterates of a self-adjoint operator. Zbl 0182.47103
Ornstein, D.
17
1969
On the existence of stationary optimal strategies. Zbl 0181.47103
Ornstein, D.
14
1969
On a theorem of Orey. Zbl 0181.39802
Ornstein, D.
2
1969
A new proof of the paracompactness of metric spaces. Zbl 0181.50904
Ornstein, Donald
2
1969
A limit theorem for independent random variables. Zbl 0211.49201
Ornstein, D.
2
1967
On the lottery problem. Zbl 0139.01005
Hanani, H.; Ornstein, D.; Sós, Vera T.
4
1964
A non-inequality for differential operators in the \(L_ 1\) norm. Zbl 0106.29602
Ornstein, Donald
86
1962
On the recurrence of sums of random variables. Zbl 0104.11904
Chung, K. L.; Ornstein, Donald
7
1962
A general property of random walk. Zbl 0111.32701
Kesten, H.; Ornstein, D.; Spitzer, F.
2
1962
A general ergodic theorem. Zbl 0134.12102
Chacon, R. V.; Ornstein, D. S.
69
1960
On invariant measures. Zbl 0154.30502
Ornstein, D. S.
24
1960
The differentiability of transition functions. Zbl 0094.13003
Ornstein, Donald
3
1960
Dual vector spaces. Zbl 0088.31701
Ornstein, Donald
8
1959
all top 5

Cited by 1,281 Authors

33 Weiss, Benjamin
24 Ornstein, Donald Samuel
24 Rudolph, Daniel J.
19 Bowen, Lewis Phylip
16 Chernov, Nikolai Ivanovich
16 Shields, Paul C.
12 Bergelson, Vitaly
12 Khanin, Konstantin M.
12 Li, Hanfeng
11 Smorodinsky, Meir
10 Dzhalilov, Akhtam Abdurakhmanovich
10 Ioana, Adrian
10 Morvai, Gusztáv
10 Ratner, Marina
10 Seward, Brandon
10 Soo, Terry
10 Thouvenot, Jean-Paul
9 Akcoglu, Mustafa A.
9 Burton, Robert M. jun.
9 Downarowicz, Tomasz
9 Friedman, Nathaniel Abraham
9 Lin, Michael
9 Park, Kyewon Koh
9 Steif, Jeffrey E.
9 Sucheston, Louis
8 Dooley, Anthony Haynes
8 Elek, Gábor
8 Kanigowski, Adam
8 Kerr, David
8 Lemańczyk, Mariusz
8 Popa, Sorin Teodor
8 Raită, Bogdan
8 Šujan, Štefan
8 Tucker-Drob, Robin D.
8 Zhang, Guohua
7 Giordano Bruno, Anna
7 Gmeineder, Franz
7 Goldstein, Sheldon
7 Hochman, Michael
7 Kida, Yoshikata
7 Kieffer, John Cronan
7 Kocić, Saša
7 Noorani, Mohd Salmi Mohd
7 Vershik, Anatoliĭ Moiseevich
7 Zaharopol, Radu
7 Zhang, Hongkun
6 Akhadkulov, Habibulla
6 Chacon, Rafael V. S.
6 Chen, Ercai
6 Dolgopyat, Dmitry
6 Foguel, Shaul R.
6 García-Ramos, Felipe
6 Golodets, Valentin Yakovlevich
6 Haydn, Nicolai T. A.
6 Hayes, Ben
6 Hoffman, Christopher
6 Katznelson, Yitzhak
6 Kim, Donghan
6 Kosloff, Zemer
6 Ledrappier, François
6 Lyons, Russell
6 Nobel, Andrew B.
6 Robinson, Derek W.
6 Şahin, Ayşe Arzu
6 Saussol, Benoît
6 Ye, Xiangdong
5 Akhatkulov, Sokhobiddin
5 Danilenko, Alexandre I.
5 de la Llave, Rafael
5 Dikranjan, Dikran N.
5 Feldman, Jacob
5 Fieldsteel, Adam
5 Gallavotti, Giovanni M.
5 Glasner, Eli
5 Gutman, Yonatan
5 Huang, Wen
5 Keane, Michael S.
5 King, Jonathan L. F.
5 Le Maître, François
5 Lind, Douglas A.
5 Martinez Aguilera, Servet
5 Mcgoff, Kevin
5 Pollicott, Mark
5 Quas, Anthony
5 Rosenblatt, Joseph Max
5 Ryzhikov, Valeriĭ Valentinovich
5 Sinaĭ, Yakov Grigor’evich
5 Tsukamoto, Masaki
5 Vaes, Stefaan
5 Walters, Peter
4 Adler, Roy Lee
4 Austin, Tim D.
4 Bálint, Péter
4 Ban, Jungchao
4 Bowen, Rufus
4 Bradley, Richard C. jun.
4 Brunel, Antoine
4 Bunimovich, Leonid Abramovich
4 Ceccherini-Silberstein, Tullio G.
4 Coornaert, Michel
...and 1,181 more Authors
all top 5

Cited in 286 Serials

141 Israel Journal of Mathematics
108 Ergodic Theory and Dynamical Systems
50 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
44 Advances in Mathematics
43 Transactions of the American Mathematical Society
41 Journal d’Analyse Mathématique
40 Proceedings of the American Mathematical Society
38 Communications in Mathematical Physics
38 Journal of Functional Analysis
34 Journal of Statistical Physics
33 Inventiones Mathematicae
29 Journal of Mathematical Analysis and Applications
21 The Annals of Probability
21 Discrete and Continuous Dynamical Systems
16 Monatshefte für Mathematik
15 Mathematische Zeitschrift
15 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
15 Bulletin of the American Mathematical Society
13 Nonlinearity
13 Probability Theory and Related Fields
13 Journal of the American Mathematical Society
13 Dynamical Systems
11 Stochastic Processes and their Applications
11 Groups, Geometry, and Dynamics
10 Duke Mathematical Journal
10 Geometric and Functional Analysis. GAFA
10 Bulletin of the American Mathematical Society. New Series
9 Mathematical Notes
9 Annales de l’Institut Fourier
9 Kybernetika
9 Journal of Dynamical and Control Systems
8 Journal of Differential Equations
8 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 Journal of Theoretical Probability
8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
8 Calculus of Variations and Partial Differential Equations
8 Annals of Mathematics. Second Series
8 Journal of the European Mathematical Society (JEMS)
8 Journal of Modern Dynamics
7 Archive for Rational Mechanics and Analysis
7 Acta Mathematica
7 Journal of Soviet Mathematics
7 Tôhoku Mathematical Journal. Second Series
7 Journal of Mathematical Sciences (New York)
7 Science China. Mathematics
6 Chaos, Solitons and Fractals
6 Geometriae Dedicata
6 Theoretical Computer Science
6 Statistics & Probability Letters
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 The Annals of Applied Probability
6 Indagationes Mathematicae. New Series
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Bulletin de la Société Mathématique de France
5 Functional Analysis and its Applications
5 Fundamenta Mathematicae
5 Mathematische Annalen
5 Mathematical Systems Theory
5 Physica D
5 Stochastics and Dynamics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 The Annals of Statistics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Compositio Mathematica
4 Illinois Journal of Mathematics
4 Journal of Algebra
4 Journal für die Reine und Angewandte Mathematik
4 Synthese
4 Topology and its Applications
4 Acta Applicandae Mathematicae
4 SIAM Journal on Mathematical Analysis
4 Journal of Dynamics and Differential Equations
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Electronic Research Announcements of the American Mathematical Society
4 Bernoulli
4 Chaos
4 Discrete and Continuous Dynamical Systems. Series B
4 Proceedings of the Steklov Institute of Mathematics
3 Communications in Algebra
3 Studia Mathematica
3 Colloquium Mathematicum
3 Fuzzy Sets and Systems
3 Publications Mathématiques
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the Japan Academy. Series A
3 Transactions of the Moscow Mathematical Society
3 Annals of Pure and Applied Logic
3 Electronic Journal of Probability
3 Abstract and Applied Analysis
3 Central European Journal of Mathematics
3 Proceedings of the Japan Academy
3 Frontiers of Mathematics in China
3 Topological Algebra and its Applications
2 Computers & Mathematics with Applications
2 International Journal of Theoretical Physics
2 Physica A
2 Problems of Information Transmission
2 Reports on Mathematical Physics
2 Rocky Mountain Journal of Mathematics
...and 186 more Serials
all top 5

Cited in 57 Fields

729 Dynamical systems and ergodic theory (37-XX)
432 Measure and integration (28-XX)
314 Probability theory and stochastic processes (60-XX)
124 Functional analysis (46-XX)
122 Topological groups, Lie groups (22-XX)
93 Operator theory (47-XX)
68 Group theory and generalizations (20-XX)
67 General topology (54-XX)
65 Information and communication theory, circuits (94-XX)
63 Abstract harmonic analysis (43-XX)
55 Statistical mechanics, structure of matter (82-XX)
50 Number theory (11-XX)
49 Statistics (62-XX)
42 Partial differential equations (35-XX)
36 Combinatorics (05-XX)
29 Computer science (68-XX)
26 Mathematical logic and foundations (03-XX)
25 Calculus of variations and optimal control; optimization (49-XX)
23 Differential geometry (53-XX)
22 Manifolds and cell complexes (57-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
20 Real functions (26-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Associative rings and algebras (16-XX)
14 Mechanics of particles and systems (70-XX)
14 Mechanics of deformable solids (74-XX)
12 History and biography (01-XX)
12 Operations research, mathematical programming (90-XX)
11 Systems theory; control (93-XX)
10 Ordinary differential equations (34-XX)
9 General and overarching topics; collections (00-XX)
9 Quantum theory (81-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Numerical analysis (65-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Fluid mechanics (76-XX)
5 Biology and other natural sciences (92-XX)
4 Nonassociative rings and algebras (17-XX)
4 Difference and functional equations (39-XX)
4 Convex and discrete geometry (52-XX)
4 Algebraic topology (55-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functions of a complex variable (30-XX)
3 Sequences, series, summability (40-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Commutative algebra (13-XX)
2 Category theory; homological algebra (18-XX)
1 Algebraic geometry (14-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Citations by Year

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