Edit Profile (opens in new tab) Walters, Peter Co-Author Distance Author ID: walters.peter Published as: Walters, Peter; Walters, P. Homepage: https://warwick.ac.uk/fac/sci/maths/people/staff/peter_walters/ External Links: MGP · Wikidata Documents Indexed: 44 Publications since 1967, including 4 Books 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 9 Co-Authors with 8 Joint Publications 184 Co-Co-Authors all top 5 Co-Authors 37 single-authored 3 Parry, William 1 Bowen, Rufus 1 Bryant, B. F. 1 Ledrappier, François 1 Palmer, Marion Rachel 1 Pollicott, Mark 1 Schmidt, Klaus 1 Sharp, Richard W. 1 Tuncel, Selim all top 5 Serials 8 Transactions of the American Mathematical Society 4 Mathematical Systems Theory 3 Journal of the London Mathematical Society. Second Series 3 Ergodic Theory and Dynamical Systems 2 Mathematische Zeitschrift 2 Proceedings of the London Mathematical Society. Third Series 2 Dynamical Systems 2 Graduate Texts in Mathematics 1 American Journal of Mathematics 1 Compositio Mathematica 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Topology 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society 1 Contemporary Mathematics 1 Lecture Notes in Mathematics all top 5 Fields 28 Measure and integration (28-XX) 19 Dynamical systems and ergodic theory (37-XX) 14 General topology (54-XX) 5 Topological groups, Lie groups (22-XX) 5 Probability theory and stochastic processes (60-XX) 4 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 3,382 times in 2,925 Documents Cited by ▼ Year ▼ An introduction to ergodic theory. Zbl 0475.28009 Walters, Peter 1,864 1982 An introduction to ergodic theory. Paperback ed. Zbl 0958.28011 Walters, Peter 304 2000 A variational principle for the pressure of continuous transformations. Zbl 0318.28007 Walters, Peter 168 1976 Expansive one-parameter flows. Zbl 0242.54041 Bowen, Rufus; Walters, Peter 163 1972 On the pseudo orbit tracing property and its relationship to stability. Zbl 0403.58019 Walters, Peter 124 1978 A relativised variational principle for continuous transformations. Zbl 0388.28020 Ledrappier, Francois; Walters, Peter 124 1977 Invariant measures and equilibrium states for some mappings which expand distances. Zbl 0375.28009 Walters, Peter 91 1978 Ergodic theory. Introductory lectures. Zbl 0299.28012 Walters, Peter 84 1975 Ruelles’s operator theorem and g-measures. Zbl 0331.28013 Walters, Peter 78 1975 Anosov diffeomorphisms are topologically stable. Zbl 0186.56702 Walters, Peter 57 1970 Convergence of the Ruelle operator for a function satisfying Bowen’s condition. Zbl 1050.37015 Walters, Peter 34 2001 Mildly mixing actions of locally compact groups. Zbl 0523.28021 Schmidt, Klaus; Walters, Peter 24 1982 Equilibrium states for \(\beta\)-transformations and related transformations. Zbl 0364.28016 Walters, Peter 23 1978 Differentiability properties of the pressure of a continuous transformation on a compact metric space. Zbl 0805.54023 Walters, Peter 20 1992 A natural space of functions for the Ruelle operator theorem. Zbl 1122.37017 Walters, Peter 19 2007 Regularity conditions and Bernoulli properties of equilibrium states and \(g\)-measures. Zbl 1069.37021 Walters, Peter 18 2005 A dynamical proof of the multiplicative ergodic theorem. Zbl 0765.28014 Walters, Peter 17 1993 Relative pressure, relative equilibrium states, compensation functions and many-to-one codes between subshifts. Zbl 0617.28019 Walters, Peter 16 1986 Some invariant \(\sigma\)-algebras for measure-preserving transformations. Zbl 0227.28011 Walters, Peter 15 1972 Equilibrium states for \(\beta\)-transformations and related transformations. Zbl 0357.28014 Walters, Peter 13 1978 Conjugacy properties of affine transformations of nilmanifolds. Zbl 0207.22801 Walters, Peter 13 1970 Endomorphisms of a Lebesgue space. Zbl 0232.28013 Parry, William; Walters, Peter 11 1972 Topological conjugacy of affine transformations of tori. Zbl 0157.21002 Walters, Peter 11 1968 Asymptotic properties of expansive homeomorphisms. Zbl 0176.20701 Bryant, B. F.; Walters, P. 11 1969 Homeomorphisms with discrete centralizers and ergodic properties. Zbl 0207.22702 Walters, Peter 10 1970 An introduction to the entropy theory of measure-preserving transformations. Zbl 0301.28011 Walters, P. 9 1974 Minimal skew-product homeomorphisms and coalescence. Zbl 0202.22601 Parry, William; Walters, Peter 8 1970 Symbolic dynamics and its applications. Proceedings of an AMS conference in honor of Roy L. Adler, held at Yale University, New Haven, Connecticut, USA, July 28-August 2, 1991. Zbl 0755.00019 7 1992 Some transformations having a unique measure with maximal entropy. Zbl 0319.28011 Walters, Peter 7 1974 Topological conjugacy of affine transformations of compact abelian groups. Zbl 0207.03803 Walters, Peter 7 1969 Topological Wiener-Wintner ergodic theorems and a random \(L^ 2\) ergodic theorem. Zbl 0861.28013 Walters, Peter 6 1996 Some results on the classification of non-invertible measure preserving transformations. Zbl 0257.28011 Walters, Peter 6 1973 Unique ergodicity and random matrix products. Zbl 0604.60011 Walters, Peter 6 1986 Large sets of endomorphisms and of g-measures. Zbl 0389.28010 Palmer, Marion Rachel; Parry, William; Walters, Peter 5 1978 Roots of n:1 measure-preserving transformations. Zbl 0159.07701 Walters, Peter 5 1969 Introductory lectures on ergodic theory. Zbl 0239.28011 Walters, Peter 4 1970 The mathematical research of William Parry FRS. Zbl 1134.01317 Pollicott, M.; Sharp, R.; Tuncel, S.; Walters, P. 3 2008 A necessary and sufficient condition for a two-sided continuous function to be cohomologous to a one-sided continuous function. Zbl 1036.37005 Walters, Peter 2 2003 On the relationship between zero entropy and quasi-discrete spectrum for affine transformations. Zbl 0177.42001 Walters, Peter 2 1967 Erratum to: A necessary and sufficient condition for a two-sided continuous function to be cohomologous to a one-sided continuous function. Zbl 1040.37002 Walters, P. 1 2003 Affine transformations and coalescence. Zbl 0299.22008 Walters, Peter 1 1974 The mathematical research of William Parry FRS. Zbl 1134.01317 Pollicott, M.; Sharp, R.; Tuncel, S.; Walters, P. 3 2008 A natural space of functions for the Ruelle operator theorem. Zbl 1122.37017 Walters, Peter 19 2007 Regularity conditions and Bernoulli properties of equilibrium states and \(g\)-measures. Zbl 1069.37021 Walters, Peter 18 2005 A necessary and sufficient condition for a two-sided continuous function to be cohomologous to a one-sided continuous function. Zbl 1036.37005 Walters, Peter 2 2003 Erratum to: A necessary and sufficient condition for a two-sided continuous function to be cohomologous to a one-sided continuous function. Zbl 1040.37002 Walters, P. 1 2003 Convergence of the Ruelle operator for a function satisfying Bowen’s condition. Zbl 1050.37015 Walters, Peter 34 2001 An introduction to ergodic theory. Paperback ed. Zbl 0958.28011 Walters, Peter 304 2000 Topological Wiener-Wintner ergodic theorems and a random \(L^ 2\) ergodic theorem. Zbl 0861.28013 Walters, Peter 6 1996 A dynamical proof of the multiplicative ergodic theorem. Zbl 0765.28014 Walters, Peter 17 1993 Differentiability properties of the pressure of a continuous transformation on a compact metric space. Zbl 0805.54023 Walters, Peter 20 1992 Symbolic dynamics and its applications. Proceedings of an AMS conference in honor of Roy L. Adler, held at Yale University, New Haven, Connecticut, USA, July 28-August 2, 1991. Zbl 0755.00019 7 1992 Relative pressure, relative equilibrium states, compensation functions and many-to-one codes between subshifts. Zbl 0617.28019 Walters, Peter 16 1986 Unique ergodicity and random matrix products. Zbl 0604.60011 Walters, Peter 6 1986 An introduction to ergodic theory. Zbl 0475.28009 Walters, Peter 1,864 1982 Mildly mixing actions of locally compact groups. Zbl 0523.28021 Schmidt, Klaus; Walters, Peter 24 1982 On the pseudo orbit tracing property and its relationship to stability. Zbl 0403.58019 Walters, Peter 124 1978 Invariant measures and equilibrium states for some mappings which expand distances. Zbl 0375.28009 Walters, Peter 91 1978 Equilibrium states for \(\beta\)-transformations and related transformations. Zbl 0364.28016 Walters, Peter 23 1978 Equilibrium states for \(\beta\)-transformations and related transformations. Zbl 0357.28014 Walters, Peter 13 1978 Large sets of endomorphisms and of g-measures. Zbl 0389.28010 Palmer, Marion Rachel; Parry, William; Walters, Peter 5 1978 A relativised variational principle for continuous transformations. Zbl 0388.28020 Ledrappier, Francois; Walters, Peter 124 1977 A variational principle for the pressure of continuous transformations. Zbl 0318.28007 Walters, Peter 168 1976 Ergodic theory. Introductory lectures. Zbl 0299.28012 Walters, Peter 84 1975 Ruelles’s operator theorem and g-measures. Zbl 0331.28013 Walters, Peter 78 1975 An introduction to the entropy theory of measure-preserving transformations. Zbl 0301.28011 Walters, P. 9 1974 Some transformations having a unique measure with maximal entropy. Zbl 0319.28011 Walters, Peter 7 1974 Affine transformations and coalescence. Zbl 0299.22008 Walters, Peter 1 1974 Some results on the classification of non-invertible measure preserving transformations. Zbl 0257.28011 Walters, Peter 6 1973 Expansive one-parameter flows. Zbl 0242.54041 Bowen, Rufus; Walters, Peter 163 1972 Some invariant \(\sigma\)-algebras for measure-preserving transformations. Zbl 0227.28011 Walters, Peter 15 1972 Endomorphisms of a Lebesgue space. Zbl 0232.28013 Parry, William; Walters, Peter 11 1972 Anosov diffeomorphisms are topologically stable. Zbl 0186.56702 Walters, Peter 57 1970 Conjugacy properties of affine transformations of nilmanifolds. Zbl 0207.22801 Walters, Peter 13 1970 Homeomorphisms with discrete centralizers and ergodic properties. Zbl 0207.22702 Walters, Peter 10 1970 Minimal skew-product homeomorphisms and coalescence. Zbl 0202.22601 Parry, William; Walters, Peter 8 1970 Introductory lectures on ergodic theory. Zbl 0239.28011 Walters, Peter 4 1970 Asymptotic properties of expansive homeomorphisms. Zbl 0176.20701 Bryant, B. F.; Walters, P. 11 1969 Topological conjugacy of affine transformations of compact abelian groups. Zbl 0207.03803 Walters, Peter 7 1969 Roots of n:1 measure-preserving transformations. Zbl 0159.07701 Walters, Peter 5 1969 Topological conjugacy of affine transformations of tori. Zbl 0157.21002 Walters, Peter 11 1968 On the relationship between zero entropy and quasi-discrete spectrum for affine transformations. Zbl 0177.42001 Walters, Peter 2 1967 all cited Publications top 5 cited Publications all top 5 Cited by 2,576 Authors 32 Morales Rojas, Carlos Arnoldo 30 Gelfert, Katrin Grit 30 Huang, Wen 30 Oprocha, Piotr 28 Pollicott, Mark 28 Ye, Xiangdong 27 Chen, Ercai 26 Zhao, Yun 25 Lee, Keonhee 24 Ma, Dongkui 24 Tian, Xueting 24 Varandas, Paulo 21 Cao, Yongluo 20 Li, Zhiming 20 Sun, Wenxiang 19 Feng, De-Jun 19 Urbański, Mariusz 19 Zhu, Yujun 18 Cánovas, Jose S. 18 Lopes, Artur Oscar 17 Amigó, José María 17 Artigue, Alfonso 17 Rams, Michał 17 Thompson, Daniel J. 16 Li, Jian 16 Pavlov, Ronnie 16 Zhang, Guohua 15 Barreira, Luis Manuel 15 Cheng, Wenchiao 15 Climenhaga, Vaughn 15 Iommi, Godofredo 15 Lee, Manseob 15 Mesón, Alejandro M. 15 Vericat, Fernando 15 Walters, Peter 15 Wolf, Christian 14 Huang, Yu 13 Díaz, Lorenzo Justiniano 13 Liu, Lei 13 Takahasi, Hiroki 12 Haydn, Nicolai T. A. 12 Lemańczyk, Mariusz 12 Lenz, Daniel H. 12 Li, Risong 12 Mihailescu, Eugen 12 Yin, Jiandong 11 Baake, Michael 11 Buzzi, Jérôme 11 Fan, Ai Hua 11 Kesseböhmer, Marc 11 Li, Hanfeng 11 Rodrigues, Fagner B. 11 Zhou, Xiaoyao 10 Carrasco-Olivera, Dante 10 Dai, Xiongping 10 Damanik, David 10 Fernández-Sánchez, Juan 10 Hofbauer, Franz 10 Hu, Huyi 10 Marcus, Brian H. 10 Quas, Anthony 10 Sharp, Richard W. 10 Wu, Weisheng 10 Yan, Kesong 10 Yang, Jiagang 10 Ye, Yuanling 9 Bergelson, Vitaly 9 Colonius, Fritz 9 Dikranjan, Dikran N. 9 García-Ramos, Felipe 9 Kwietniak, Dominik 9 Mcgoff, Kevin 9 Nguyễn Ngọc Thạch 9 Przytycki, Feliks 9 Todd, Mike 9 Viana, Marcelo 9 Wang, Tao 9 Wu, Xinxing 9 Xu, Leiye 9 Zhao, Cao 9 Zhou, Yunhua 8 Arbieto, Alexander 8 Das, Tarun Kumar 8 Downarowicz, Tomasz 8 Giordano Bruno, Anna 8 Grivaux, Sophie 8 Jaerisch, Johannes 8 Keller, Gerhard 8 Kifer, Yuri 8 Kucherenko, Tamara 8 Li, Jie 8 Ma, Xianfeng 8 Meddaugh, Jonathan 8 Molaei, Mohammad Reza 8 Oh, Jumi 8 Pesin, Yakov Borisovich 8 Rahimi, Mehdi 8 Schmidt, Klaus 8 Snoha, Ľubomír 8 Tang, Yanjie ...and 2,476 more Authors all top 5 Cited in 413 Serials 265 Ergodic Theory and Dynamical Systems 118 Discrete and Continuous Dynamical Systems 109 Transactions of the American Mathematical Society 91 Journal of Mathematical Analysis and Applications 81 Nonlinearity 80 Communications in Mathematical Physics 79 Israel Journal of Mathematics 76 Proceedings of the American Mathematical Society 75 Journal of Statistical Physics 71 Journal of Differential Equations 68 Topology and its Applications 59 Advances in Mathematics 49 Chaos, Solitons and Fractals 46 Dynamical Systems 43 Monatshefte für Mathematik 42 Journal of Dynamics and Differential Equations 35 Acta Mathematica Sinica. English Series 33 Inventiones Mathematicae 33 Qualitative Theory of Dynamical Systems 29 Mathematische Zeitschrift 29 Physica D 28 Journal of Functional Analysis 26 Journal d’Analyse Mathématique 26 Indagationes Mathematicae. New Series 24 Journal of Dynamical and Control Systems 23 Stochastics and Dynamics 20 Journal of Mathematical Physics 19 Journal of Difference Equations and Applications 19 Bulletin of the Brazilian Mathematical Society. New Series 18 Fuzzy Sets and Systems 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Annales de l’Institut Fourier 17 Journal of Dynamical Systems and Geometric Theories 16 Journal of the London Mathematical Society. Second Series 16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 16 Science China. Mathematics 15 Discrete and Continuous Dynamical Systems. Series B 15 Journal of Modern Dynamics 14 Probability Theory and Related Fields 14 Chaos 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 Reports on Mathematical Physics 12 Duke Mathematical Journal 12 Stochastic Processes and their Applications 12 Entropy 11 Journal of the Korean Mathematical Society 11 Memoirs of the American Mathematical Society 10 Mathematische Annalen 9 Letters in Mathematical Physics 9 Theoretical Computer Science 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Annals of Mathematics. Second Series 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Bulletin of the Australian Mathematical Society 8 Mathematica Slovaca 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Science in China. Series A 8 Annales Henri Poincaré 7 Applied Mathematics and Computation 7 Fundamenta Mathematicae 7 Results in Mathematics 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Statistics & Probability Letters 7 Acta Mathematica Hungarica 7 Journal of Theoretical Probability 7 Bulletin of the American Mathematical Society. New Series 7 Applied Mathematics. Series B (English Edition) 7 Nonlinear Dynamics 7 Journal of the European Mathematical Society (JEMS) 7 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Applied Analysis and Computation 6 Bulletin de la Société Mathématique de France 6 Journal of Number Theory 6 Mathematische Nachrichten 6 Mathematical Systems Theory 6 Proceedings of the London Mathematical Society. Third Series 6 Acta Mathematicae Applicatae Sinica. English Series 6 Geometric and Functional Analysis. GAFA 6 Aequationes Mathematicae 6 Linear Algebra and its Applications 6 Journal of Nonlinear Science 6 Topological Methods in Nonlinear Analysis 6 Journal of Mathematical Sciences (New York) 6 Taiwanese Journal of Mathematics 6 SIAM Journal on Applied Dynamical Systems 6 Bulletin of the American Mathematical Society 6 Groups, Geometry, and Dynamics 6 Journal of Fractal Geometry 5 Communications on Pure and Applied Mathematics 5 Journal of Computational Physics 5 Studia Mathematica 5 The Annals of Probability 5 The Annals of Statistics 5 Archiv der Mathematik 5 Colloquium Mathematicum 5 Geometriae Dedicata 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Journal of the American Mathematical Society 5 The Journal of Geometric Analysis 5 Acta Mathematica Sinica. New Series ...and 313 more Serials all top 5 Cited in 60 Fields 2,340 Dynamical systems and ergodic theory (37-XX) 606 Measure and integration (28-XX) 365 General topology (54-XX) 278 Probability theory and stochastic processes (60-XX) 182 Number theory (11-XX) 112 Operator theory (47-XX) 103 Statistical mechanics, structure of matter (82-XX) 82 Functional analysis (46-XX) 73 Differential geometry (53-XX) 71 Computer science (68-XX) 68 Topological groups, Lie groups (22-XX) 62 Ordinary differential equations (34-XX) 62 Information and communication theory, circuits (94-XX) 54 Partial differential equations (35-XX) 51 Quantum theory (81-XX) 49 Global analysis, analysis on manifolds (58-XX) 47 Group theory and generalizations (20-XX) 45 Statistics (62-XX) 44 Manifolds and cell complexes (57-XX) 43 Functions of a complex variable (30-XX) 40 Systems theory; control (93-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 35 Real functions (26-XX) 34 Mathematical logic and foundations (03-XX) 32 Difference and functional equations (39-XX) 30 Several complex variables and analytic spaces (32-XX) 28 Abstract harmonic analysis (43-XX) 28 Convex and discrete geometry (52-XX) 27 Combinatorics (05-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Numerical analysis (65-XX) 19 Biology and other natural sciences (92-XX) 16 Mechanics of particles and systems (70-XX) 16 Fluid mechanics (76-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Algebraic geometry (14-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Algebraic topology (55-XX) 9 Operations research, mathematical programming (90-XX) 8 Approximations and expansions (41-XX) 6 Associative rings and algebras (16-XX) 6 \(K\)-theory (19-XX) 6 Potential theory (31-XX) 5 Commutative algebra (13-XX) 5 Category theory; homological algebra (18-XX) 5 Optics, electromagnetic theory (78-XX) 5 Relativity and gravitational theory (83-XX) 4 Field theory and polynomials (12-XX) 4 Sequences, series, summability (40-XX) 4 Mechanics of deformable solids (74-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 General algebraic systems (08-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral equations (45-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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