Edit Profile (opens in new tab) Ornstein, Donald Samuel Compute Distance To: Compute Author ID: ornstein.donald-samuel Published as: Ornstein, Donald S.; Ornstein, D. S.; Ornstein, Donald; Ornstein, D.; Ornstein, Donald Samuel; Ornstein, Don more...less 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 all top 5 Co-Authors 44 single-authored 19 Weiss, Benjamin 7 Katznelson, Yitzhak 5 Gray, Robert Molten 5 Shields, Paul C. 4 Friedman, Nathaniel Abraham 3 Furstenberg, Hillel 2 Smorodinsky, Meir 2 Sucheston, Louis 1 Arnoux, Pierre 1 Bourgain, Jean 1 Chacon, Rafael V. S. 1 Chung, Kai Lai 1 Dobrushin, Roland L’vovich 1 Feldman, Jacob 1 Gallavotti, Giovanni M. 1 Hanani, Haim 1 Kesten, Harry 1 Neuhoff, David L. 1 Rudolph, Daniel J. 1 Sós, Vera Turán 1 Spitzer, Frank L. all top 5 Serials 12 Advances in Mathematics 11 Israel Journal of Mathematics 5 The Annals of Probability 5 Bulletin of the American Mathematical Society 4 IEEE Transactions on Information Theory 4 Illinois Journal of Mathematics 4 Ergodic Theory and Dynamical Systems 4 Bulletin of the American Mathematical Society. New Series 3 Proceedings of the American Mathematical Society 2 Journal d’Analyse Mathématique 2 Notices of the American Mathematical Society 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Chaos, Solitons and Fractals 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 Annals of Mathematics. Second Series 1 Journal of Mathematics and Mechanics 1 Publications of the Mathematical Institute of the Hungarian Academy of Sciences, Series A 1 Journal of Modern Dynamics 1 Science 1 Annals of Mathematical Statistics all top 5 Fields 53 Measure and integration (28-XX) 21 Dynamical systems and ergodic theory (37-XX) 20 Probability theory and stochastic processes (60-XX) 9 Information and communication theory, circuits (94-XX) 5 Operator theory (47-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications 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 0637.28015Ornstein, 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 0705.28008Bourgain, Jean 153 1989 Bernoulli shifts with the same entropy are isomorphic. Zbl 0197.33502Ornstein, D. 138 1970 Ergodic theory, randomness, and dynamical systems. Zbl 0296.28016Ornstein, Donald S. 134 1974 Ergodic theory of amenable group actions. I: The Rohlin lemma. Zbl 0427.28018Ornstein, Donald S.; Weiss, Benjamin 128 1980 On isomorphism of weak Bernoulli transformations. Zbl 0203.05801Friedman, N. A.; Ornstein, D. S. 108 1971 A non-inequality for differential operators in the \(L_ 1\) norm. Zbl 0106.29602Ornstein, Donald 86 1962 The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033Katznelson, Y.; Ornstein, D. 76 1989 A general ergodic theorem. Zbl 0134.12102Chacon, R. V.; Ornstein, D. S. 69 1960 Two Bernoulli shifts with infinite entropy are isomorphic. Zbl 0227.28014Ornstein, Donald 67 1971 Entropy and data compression schemes. Zbl 0764.94003Ornstein, Donald Samuel; Weiss, Benjamin 65 1993 Billiards and Bernoulli schemes. Zbl 0313.58017Gallavotti, Giovanni; Ornstein, Donald S. 65 1974 Factors of Bernoulli shifts are Bernoulli shifts. Zbl 0227.28015Ornstein, Donald 50 1971 An operator theorem on L\(_1\) convergence to zero with applications to Markov kernels. Zbl 0284.60068Ornstein, Donald; Sucheston, Louis 46 1970 Equivalence of measure preserving transformations. Zbl 0504.28019Ornstein, Donald S.; Rudolph, Daniel J.; Weiss, Benjamin 44 1982 The theoretical proof of Szemerédi’s theorem. Zbl 0523.28017Furstenberg, H.; Katznelson, Y.; Ornstein, D. 43 1982 How sampling reveals a process. Zbl 0709.60036Ornstein, Donald S.; Weiss, Benjamin 37 1990 Geodesic flows are Bernoullian. Zbl 0256.58006Ornstein, Donald; Weiss, Benjamin 36 1973 The Shannon-McMillan-Breiman theorem for a class of amenable groups. Zbl 0516.28020Ornstein, Donald; Weiss, Benjamin 32 1983 Statistical properties of chaotic systems. Zbl 0718.58038Ornstein, D. S.; Weiss, B. 31 1991 An uncountable family of K-automorphisms. Zbl 0251.28004Ornstein, Donald S.; Shields, Paul C. 26 1973 Random walks. I, II. Zbl 0181.44501Ornstein, D. S. 26 1969 On invariant measures. Zbl 0154.30502Ornstein, D. S. 24 1960 Cutting and stacking, interval exchanges and geometric models. Zbl 0558.58019Arnoux, Pierre; Ornstein, Donald S.; Weiss, Benjamin 23 1985 Imbedding Bernoulli shifts in flows. Zbl 0227.28013Ornstein, D. S. 22 1970 An application of ergodic theory to probability theory. Zbl 0282.28009Ornstein, Donald S. 22 1973 On the Bernoulli nature of systems with some hyperbolic structure. Zbl 0915.58076Ornstein, Donald; Weiss, Benjamin 20 1998 An example of a Kolmogorov automorphism that is not a Bernoulli shift. Zbl 0245.28011Ornstein, Donald S. 20 1973 Finitely determined implies very weak Bernoulli. Zbl 0283.60072Ornstein, Donald S.; Weiss, Benjamin 20 1974 The isomorphism theorem for Bernoulli flows. Zbl 0265.28011Ornstein, Donald S. 19 1973 On the pointwise behavior of iterates of a self-adjoint operator. Zbl 0182.47103Ornstein, D. 17 1969 Guessing the next output of a stationary process. Zbl 0386.60032Ornstein, Donald S. 16 1978 A K-automorphism with no square root and Pinsker’s conjecture. Zbl 0248.28010Ornstein, Donald S. 16 1973 Every transformation is bilaterally deterministic. Zbl 0325.28016Ornstein, Donald S.; Weiss, Benjamin 16 1975 Factors of Bernoulli shifts. Zbl 0326.28029Ornstein, Donald S. 14 1975 On the existence of stationary optimal strategies. Zbl 0181.47103Ornstein, D. 14 1969 A remark on the Birkhoff ergodic theorem. Zbl 0212.40102Ornstein, D. 14 1971 A mixing transformation for which Pinsker’s conjecture fails. Zbl 0248.28011Ornstein, Donald S. 13 1973 Mixing Markov shifts of kernel type are Bernoulli. Zbl 0252.28009Ornstein, D. S.; Shields, P. C. 13 1973 Newton’s laws and coin tossing. Zbl 1358.37007Ornstein, Don 13 2013 On mixing and partial mixing. Zbl 0224.28012Friedman, N. A.; Ornstein, D. S. 12 1972 On the root problem in ergodic theory. Zbl 0262.28009Ornstein, Donald S. 12 1972 Semirigidity of horocycle flows over compact surfaces of variable negative curvature. Zbl 0633.58024Feldman, J.; Ornstein, D. 12 1987 On partially mixing transformations. Zbl 0213.07504Friedman, N. A.; Ornstein, D. S. 12 1971 The sums of iterates of a positive operator. Zbl 0321.28013Ornstein, Donald 10 1970 Ergodic theory, randomness, and “chaos”. Zbl 1226.37018Ornstein, D. S. 9 1989 Entropy and recurrence rates for stationary random fields. Zbl 1061.94011Ornstein, Donald; Weiss, Benjamin 9 2002 Subsequence ergodic theorems for amenable groups. Zbl 0802.28014Ornstein, Donald; Weiss, Benjamin 8 1992 Ergodic transformations induce mixing transformations. Zbl 0246.28011Friedman, N. A.; Ornstein, D. S. 8 1973 Entropy is the only finitely observable invariant. Zbl 1109.37005Ornstein, Donald; Weiss, Benjamin 8 2007 Dual vector spaces. Zbl 0088.31701Ornstein, Donald 8 1959 Unilateral codings of Bernoulli systems. Zbl 0323.28008Ornstein, Donald S.; Weiss, Benjamin 7 1975 Ergodic flows of positive entropy can be time changed to become K-flows. Zbl 0346.28011Ornstein, D. S.; Smorodinsky, M. 7 1977 Universal almost sure data compression. Zbl 0699.94004Ornstein, Donald S.; Shields, Paul C. 7 1990 On the recurrence of sums of random variables. Zbl 0104.11904Chung, K. L.; Ornstein, Donald 7 1962 Block synchronization, sliding-block coding, invulnerable sources and zero error codes for discrete noisy channels. Zbl 0453.94010Gray, R. M.; Ornstein, D. S.; Dobrushin, R. L. 6 1980 Some new results in the Kolmogorov-Sinai theory of entropy and ergodic theory. Zbl 0269.60032Ornstein, Donald S. 6 1971 Mean distality and tightness. Zbl 1072.37004Ornstein, D.; Weiss, B. 6 2004 Continuous speed changes for flows. Zbl 0399.58003Ornstein, D. S.; Smorodinsky, M. 5 1978 Block coding for discrete stationary \(\bar d\)-continuous noisy channels. Zbl 0398.94013Gray, Robert M.; Ornstein, Donald S. 4 1979 An example of a Kolmogorov automorphism that is not a Bernoulli shift. Zbl 0224.28011Ornstein, D. 4 1971 On the lottery problem. Zbl 0139.01005Hanani, H.; Ornstein, D.; Sós, Vera T. 4 1964 Imbedding Bernoulli shifts in flows. Zbl 0228.28016Ornstein, D. S. 3 1971 The \(\bar d\)-recognition of processes. Zbl 0801.60033Ornstein, Donald S.; Shields, Paul C. 3 1994 Any flow is an orbit factor of any flow. Zbl 0585.28007Ornstein, Donald; Weiss, Benjamin 3 1984 The differentiability of transition functions. Zbl 0094.13003Ornstein, Donald 3 1960 On the existence of a \(\sigma\)-finite invariant measure under a generalized Harris condition. Zbl 0214.17101Ornstein, D. S.; Sucheston, L. 3 1970 Sliding-block joint source/noisy-channel coding theorems. Zbl 0348.94019Gray, Robert M.; Ornstein, Donald S. 2 1976 A new method for twist theorems. Zbl 0795.28013Katznelson, Yitzhak; Ornstein, Donald S. 2 1993 Twist maps and Aubry-Mather sets. Zbl 0890.58032Katznelson, Y.; Ornstein, D. S. 2 1997 A general property of random walk. Zbl 0111.32701Kesten, H.; Ornstein, D.; Spitzer, F. 2 1962 On a theorem of Orey. Zbl 0181.39802Ornstein, D. 2 1969 A new proof of the paracompactness of metric spaces. Zbl 0181.50904Ornstein, Donald 2 1969 A limit theorem for independent random variables. Zbl 0211.49201Ornstein, D. 2 1967 Von Neumann and ergodic theory. Zbl 0719.47002Ornstein, Donald S. 2 1990 Measure-preserving transformations and random processes. Zbl 0233.28019Ornstein, D. S. 1 1971 Nonblock source coding with a fidelity criterion. Zbl 0313.94006Gray, 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 0333.28008Ornstein, Donald S. 1 1975 Newton’s laws and coin tossing. Zbl 1358.37007Ornstein, Don 13 2013 Entropy is the only finitely observable invariant. Zbl 1109.37005Ornstein, Donald; Weiss, Benjamin 8 2007 Mean distality and tightness. Zbl 1072.37004Ornstein, D.; Weiss, B. 6 2004 Entropy and recurrence rates for stationary random fields. Zbl 1061.94011Ornstein, Donald; Weiss, Benjamin 9 2002 On the Bernoulli nature of systems with some hyperbolic structure. Zbl 0915.58076Ornstein, Donald; Weiss, Benjamin 20 1998 Twist maps and Aubry-Mather sets. Zbl 0890.58032Katznelson, Y.; Ornstein, D. S. 2 1997 The \(\bar d\)-recognition of processes. Zbl 0801.60033Ornstein, Donald S.; Shields, Paul C. 3 1994 Entropy and data compression schemes. Zbl 0764.94003Ornstein, Donald Samuel; Weiss, Benjamin 65 1993 A new method for twist theorems. Zbl 0795.28013Katznelson, Yitzhak; Ornstein, Donald S. 2 1993 Subsequence ergodic theorems for amenable groups. Zbl 0802.28014Ornstein, Donald; Weiss, Benjamin 8 1992 Statistical properties of chaotic systems. Zbl 0718.58038Ornstein, D. S.; Weiss, B. 31 1991 How sampling reveals a process. Zbl 0709.60036Ornstein, Donald S.; Weiss, Benjamin 37 1990 Universal almost sure data compression. Zbl 0699.94004Ornstein, Donald S.; Shields, Paul C. 7 1990 Von Neumann and ergodic theory. Zbl 0719.47002Ornstein, 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 0705.28008Bourgain, Jean 153 1989 The differentiability of the conjugation of certain diffeomorphisms of the circle. Zbl 0819.58033Katznelson, Y.; Ornstein, D. 76 1989 Ergodic theory, randomness, and “chaos”. Zbl 1226.37018Ornstein, D. S. 9 1989 Entropy and isomorphism theorems for actions of amenable groups. Zbl 0637.28015Ornstein, Donald S.; Weiss, Benjamin 240 1987 Semirigidity of horocycle flows over compact surfaces of variable negative curvature. Zbl 0633.58024Feldman, J.; Ornstein, D. 12 1987 Cutting and stacking, interval exchanges and geometric models. Zbl 0558.58019Arnoux, Pierre; Ornstein, Donald S.; Weiss, Benjamin 23 1985 Any flow is an orbit factor of any flow. Zbl 0585.28007Ornstein, Donald; Weiss, Benjamin 3 1984 The Shannon-McMillan-Breiman theorem for a class of amenable groups. Zbl 0516.28020Ornstein, Donald; Weiss, Benjamin 32 1983 Equivalence of measure preserving transformations. Zbl 0504.28019Ornstein, Donald S.; Rudolph, Daniel J.; Weiss, Benjamin 44 1982 The theoretical proof of Szemerédi’s theorem. Zbl 0523.28017Furstenberg, H.; Katznelson, Y.; Ornstein, D. 43 1982 Ergodic theory of amenable group actions. I: The Rohlin lemma. Zbl 0427.28018Ornstein, Donald S.; Weiss, Benjamin 128 1980 Block synchronization, sliding-block coding, invulnerable sources and zero error codes for discrete noisy channels. Zbl 0453.94010Gray, R. M.; Ornstein, D. S.; Dobrushin, R. L. 6 1980 Block coding for discrete stationary \(\bar d\)-continuous noisy channels. Zbl 0398.94013Gray, Robert M.; Ornstein, Donald S. 4 1979 Guessing the next output of a stationary process. Zbl 0386.60032Ornstein, Donald S. 16 1978 Continuous speed changes for flows. Zbl 0399.58003Ornstein, D. S.; Smorodinsky, M. 5 1978 Ergodic flows of positive entropy can be time changed to become K-flows. Zbl 0346.28011Ornstein, D. S.; Smorodinsky, M. 7 1977 Sliding-block joint source/noisy-channel coding theorems. Zbl 0348.94019Gray, Robert M.; Ornstein, Donald S. 2 1976 Every transformation is bilaterally deterministic. Zbl 0325.28016Ornstein, Donald S.; Weiss, Benjamin 16 1975 Factors of Bernoulli shifts. Zbl 0326.28029Ornstein, Donald S. 14 1975 Unilateral codings of Bernoulli systems. Zbl 0323.28008Ornstein, Donald S.; Weiss, Benjamin 7 1975 Nonblock source coding with a fidelity criterion. Zbl 0313.94006Gray, 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 0333.28008Ornstein, Donald S. 1 1975 Ergodic theory, randomness, and dynamical systems. Zbl 0296.28016Ornstein, Donald S. 134 1974 Billiards and Bernoulli schemes. Zbl 0313.58017Gallavotti, Giovanni; Ornstein, Donald S. 65 1974 Finitely determined implies very weak Bernoulli. Zbl 0283.60072Ornstein, Donald S.; Weiss, Benjamin 20 1974 Geodesic flows are Bernoullian. Zbl 0256.58006Ornstein, Donald; Weiss, Benjamin 36 1973 An uncountable family of K-automorphisms. Zbl 0251.28004Ornstein, Donald S.; Shields, Paul C. 26 1973 An application of ergodic theory to probability theory. Zbl 0282.28009Ornstein, Donald S. 22 1973 An example of a Kolmogorov automorphism that is not a Bernoulli shift. Zbl 0245.28011Ornstein, Donald S. 20 1973 The isomorphism theorem for Bernoulli flows. Zbl 0265.28011Ornstein, Donald S. 19 1973 A K-automorphism with no square root and Pinsker’s conjecture. Zbl 0248.28010Ornstein, Donald S. 16 1973 A mixing transformation for which Pinsker’s conjecture fails. Zbl 0248.28011Ornstein, Donald S. 13 1973 Mixing Markov shifts of kernel type are Bernoulli. Zbl 0252.28009Ornstein, D. S.; Shields, P. C. 13 1973 Ergodic transformations induce mixing transformations. Zbl 0246.28011Friedman, N. A.; Ornstein, D. S. 8 1973 On mixing and partial mixing. Zbl 0224.28012Friedman, N. A.; Ornstein, D. S. 12 1972 On the root problem in ergodic theory. Zbl 0262.28009Ornstein, Donald S. 12 1972 On isomorphism of weak Bernoulli transformations. Zbl 0203.05801Friedman, N. A.; Ornstein, D. S. 108 1971 Two Bernoulli shifts with infinite entropy are isomorphic. Zbl 0227.28014Ornstein, Donald 67 1971 Factors of Bernoulli shifts are Bernoulli shifts. Zbl 0227.28015Ornstein, Donald 50 1971 A remark on the Birkhoff ergodic theorem. Zbl 0212.40102Ornstein, D. 14 1971 On partially mixing transformations. Zbl 0213.07504Friedman, N. A.; Ornstein, D. S. 12 1971 Some new results in the Kolmogorov-Sinai theory of entropy and ergodic theory. Zbl 0269.60032Ornstein, Donald S. 6 1971 An example of a Kolmogorov automorphism that is not a Bernoulli shift. Zbl 0224.28011Ornstein, D. 4 1971 Imbedding Bernoulli shifts in flows. Zbl 0228.28016Ornstein, D. S. 3 1971 Measure-preserving transformations and random processes. Zbl 0233.28019Ornstein, D. S. 1 1971 Bernoulli shifts with the same entropy are isomorphic. Zbl 0197.33502Ornstein, D. 138 1970 An operator theorem on L\(_1\) convergence to zero with applications to Markov kernels. Zbl 0284.60068Ornstein, Donald; Sucheston, Louis 46 1970 Imbedding Bernoulli shifts in flows. Zbl 0227.28013Ornstein, D. S. 22 1970 The sums of iterates of a positive operator. Zbl 0321.28013Ornstein, Donald 10 1970 On the existence of a \(\sigma\)-finite invariant measure under a generalized Harris condition. Zbl 0214.17101Ornstein, D. S.; Sucheston, L. 3 1970 Random walks. I, II. Zbl 0181.44501Ornstein, D. S. 26 1969 On the pointwise behavior of iterates of a self-adjoint operator. Zbl 0182.47103Ornstein, D. 17 1969 On the existence of stationary optimal strategies. Zbl 0181.47103Ornstein, D. 14 1969 On a theorem of Orey. Zbl 0181.39802Ornstein, D. 2 1969 A new proof of the paracompactness of metric spaces. Zbl 0181.50904Ornstein, Donald 2 1969 A limit theorem for independent random variables. Zbl 0211.49201Ornstein, D. 2 1967 On the lottery problem. Zbl 0139.01005Hanani, H.; Ornstein, D.; Sós, Vera T. 4 1964 A non-inequality for differential operators in the \(L_ 1\) norm. Zbl 0106.29602Ornstein, Donald 86 1962 On the recurrence of sums of random variables. Zbl 0104.11904Chung, K. L.; Ornstein, Donald 7 1962 A general property of random walk. Zbl 0111.32701Kesten, H.; Ornstein, D.; Spitzer, F. 2 1962 A general ergodic theorem. Zbl 0134.12102Chacon, R. V.; Ornstein, D. S. 69 1960 On invariant measures. Zbl 0154.30502Ornstein, D. S. 24 1960 The differentiability of transition functions. Zbl 0094.13003Ornstein, Donald 3 1960 Dual vector spaces. Zbl 0088.31701Ornstein, Donald 8 1959 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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