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 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 3,104 times in 2,696 Documents Cited by ▼ Year ▼ An introduction to ergodic theory. Zbl 0475.28009 Walters, Peter 1,724 1982 An introduction to ergodic theory. Paperback ed. Zbl 0958.28011 Walters, Peter 285 2000 A variational principle for the pressure of continuous transformations. Zbl 0318.28007 Walters, Peter 156 1976 Expansive one-parameter flows. Zbl 0242.54041 Bowen, Rufus; Walters, Peter 147 1972 A relativised variational principle for continuous transformations. Zbl 0388.28020 Ledrappier, Francois; Walters, Peter 118 1977 On the pseudo orbit tracing property and its relationship to stability. Zbl 0403.58019 Walters, Peter 91 1978 Invariant measures and equilibrium states for some mappings which expand distances. Zbl 0375.28009 Walters, Peter 83 1978 Ergodic theory. Introductory lectures. Zbl 0299.28012 Walters, Peter 79 1975 Ruelles’s operator theorem and g-measures. Zbl 0331.28013 Walters, Peter 72 1975 Anosov diffeomorphisms are topologically stable. Zbl 0186.56702 Walters, Peter 49 1970 Convergence of the Ruelle operator for a function satisfying Bowen’s condition. Zbl 1050.37015 Walters, Peter 31 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 18 1992 A natural space of functions for the Ruelle operator theorem. Zbl 1122.37017 Walters, Peter 17 2007 A dynamical proof of the multiplicative ergodic theorem. Zbl 0765.28014 Walters, Peter 16 1993 Regularity conditions and Bernoulli properties of equilibrium states and \(g\)-measures. Zbl 1069.37021 Walters, Peter 15 2005 Relative pressure, relative equilibrium states, compensation functions and many-to-one codes between subshifts. Zbl 0617.28019 Walters, Peter 15 1986 Some invariant \(\sigma\)-algebras for measure-preserving transformations. Zbl 0227.28011 Walters, Peter 14 1972 Conjugacy properties of affine transformations of nilmanifolds. Zbl 0207.22801 Walters, Peter 13 1970 Equilibrium states for \(\beta\)-transformations and related transformations. Zbl 0357.28014 Walters, Peter 12 1978 Asymptotic properties of expansive homeomorphisms. Zbl 0176.20701 Bryant, B. F.; Walters, P. 11 1969 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 Homeomorphisms with discrete centralizers and ergodic properties. Zbl 0207.22702 Walters, Peter 9 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 7 1970 Topological conjugacy of affine transformations of compact abelian groups. Zbl 0207.03803 Walters, Peter 7 1969 Some transformations having a unique measure with maximal entropy. Zbl 0319.28011 Walters, Peter 7 1974 Some results on the classification of non-invertible measure preserving transformations. Zbl 0257.28011 Walters, Peter 6 1973 Topological Wiener-Wintner ergodic theorems and a random \(L^ 2\) ergodic theorem. Zbl 0861.28013 Walters, Peter 6 1996 Introductory lectures on ergodic theory. Zbl 0239.28011 Walters, Peter 4 1970 Roots of n:1 measure-preserving transformations. Zbl 0159.07701 Walters, Peter 4 1969 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 4 1992 The mathematical research of William Parry FRS. Zbl 1134.01317 Pollicott, M.; Sharp, R.; Tuncel, S.; Walters, P. 3 2008 Large sets of endomorphisms and of g-measures. Zbl 0389.28010 Palmer, Marion Rachel; Parry, William; Walters, Peter 3 1978 Unique ergodicity and random matrix products. Zbl 0604.60011 Walters, Peter 3 1986 On the relationship between zero entropy and quasi-discrete spectrum for affine transformations. Zbl 0177.42001 Walters, Peter 2 1967 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 Affine transformations and coalescence. Zbl 0299.22008 Walters, Peter 1 1974 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 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 17 2007 Regularity conditions and Bernoulli properties of equilibrium states and \(g\)-measures. Zbl 1069.37021 Walters, Peter 15 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 31 2001 An introduction to ergodic theory. Paperback ed. Zbl 0958.28011 Walters, Peter 285 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 16 1993 Differentiability properties of the pressure of a continuous transformation on a compact metric space. Zbl 0805.54023 Walters, Peter 18 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 4 1992 Relative pressure, relative equilibrium states, compensation functions and many-to-one codes between subshifts. Zbl 0617.28019 Walters, Peter 15 1986 Unique ergodicity and random matrix products. Zbl 0604.60011 Walters, Peter 3 1986 An introduction to ergodic theory. Zbl 0475.28009 Walters, Peter 1,724 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 91 1978 Invariant measures and equilibrium states for some mappings which expand distances. Zbl 0375.28009 Walters, Peter 83 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 12 1978 Large sets of endomorphisms and of g-measures. Zbl 0389.28010 Palmer, Marion Rachel; Parry, William; Walters, Peter 3 1978 A relativised variational principle for continuous transformations. Zbl 0388.28020 Ledrappier, Francois; Walters, Peter 118 1977 A variational principle for the pressure of continuous transformations. Zbl 0318.28007 Walters, Peter 156 1976 Ergodic theory. Introductory lectures. Zbl 0299.28012 Walters, Peter 79 1975 Ruelles’s operator theorem and g-measures. Zbl 0331.28013 Walters, Peter 72 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 147 1972 Some invariant \(\sigma\)-algebras for measure-preserving transformations. Zbl 0227.28011 Walters, Peter 14 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 49 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 9 1970 Minimal skew-product homeomorphisms and coalescence. Zbl 0202.22601 Parry, William; Walters, Peter 7 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 4 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 2,421 Authors 29 Gelfert, Katrin Grit 29 Huang, Wen 28 Ye, Xiangdong 27 Oprocha, Piotr 27 Pollicott, Mark 25 Zhao, Yun 24 Chen, Ercai 24 Morales Rojas, Carlos Arnoldo 22 Varandas, Paulo 21 Lee, Keonhee 21 Tian, Xueting 20 Cao, Yongluo 19 Feng, De-Jun 19 Sun, Wenxiang 19 Urbański, Mariusz 18 Artigue, Alfonso 18 Li, Zhiming 18 Zhu, Yujun 17 Rams, Michał 15 Amigó, José María 15 Barreira, Luis Manuel 15 Cánovas, Jose S. 15 Cheng, Wenchiao 15 Iommi, Godofredo 15 Li, Jian 15 Lopes, Artur Oscar 15 Mesón, Alejandro M. 15 Pavlov, Ronnie 15 Thompson, Daniel J. 15 Vericat, Fernando 15 Walters, Peter 15 Wolf, Christian 14 Lee, Manseob 14 Ma, Dongkui 14 Zhang, Guohua 13 Climenhaga, Vaughn 13 Díaz, Lorenzo Justiniano 13 Huang, Yu 13 Takahasi, Hiroki 12 Lemańczyk, Mariusz 12 Lenz, Daniel H. 12 Liu, Lei 12 Mihailescu, Eugen Gh. 11 Baake, Michael 11 Buzzi, Jérôme 11 Fan, Ai Hua 11 Haydn, Nicolai T. A. 11 Kesseböhmer, Marc 11 Li, Hanfeng 10 Carrasco-Olivera, Dante 10 Fernández-Sánchez, Juan 10 Hofbauer, Franz 10 Hu, Huyi 10 Li, Risong 10 Quas, Anthony 10 Rodrigues, Fagner B. 10 Yan, Kesong 10 Yang, Jiagang 10 Ye, Yuanling 10 Zhou, Xiaoyao 9 Dai, Xiongping 9 Dikranjan, Dikran N. 9 García-Ramos, Felipe 9 Kwietniak, Dominik 9 Marcus, Brian H. 9 Mcgoff, Kevin 9 Przytycki, Feliks 9 Sharp, Richard W. 9 Viana, Marcelo 9 Wu, Weisheng 9 Wu, Xinxing 9 Yin, Jiandong 9 Zhou, Yunhua 8 Bergelson, Vitaly 8 Colonius, Fritz 8 Damanik, David 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 Schmidt, Klaus 8 Snoha, Ľubomír 8 Todd, Mike 8 Tuncel, Selim 8 Yayama, Yuki 8 Zhao, Cao 8 Zhou, Shengfan 7 Biś, Andrzej 7 Blumenthal, Alex 7 Boyle, Mike 7 Burguet, David 7 Cordeiro, Welington 7 Das, Tarun Kumar ...and 2,321 more Authors all top 5 Cited in 393 Serials 257 Ergodic Theory and Dynamical Systems 115 Discrete and Continuous Dynamical Systems 106 Transactions of the American Mathematical Society 77 Communications in Mathematical Physics 76 Israel Journal of Mathematics 75 Journal of Mathematical Analysis and Applications 74 Proceedings of the American Mathematical Society 72 Journal of Statistical Physics 67 Journal of Differential Equations 66 Nonlinearity 60 Topology and its Applications 53 Advances in Mathematics 42 Chaos, Solitons and Fractals 41 Monatshefte für Mathematik 40 Dynamical Systems 38 Journal of Dynamics and Differential Equations 33 Inventiones Mathematicae 33 Acta Mathematica Sinica. English Series 29 Qualitative Theory of Dynamical Systems 28 Mathematische Zeitschrift 27 Physica D 25 Journal d’Analyse Mathématique 23 Journal of Functional Analysis 22 Stochastics and Dynamics 21 Indagationes Mathematicae. New Series 20 Journal of Dynamical and Control Systems 17 Journal of Mathematical Physics 17 Annales de l’Institut Fourier 17 Journal of Difference Equations and Applications 17 Journal of Dynamical Systems and Geometric Theories 17 Bulletin of the Brazilian Mathematical Society. New Series 16 Fuzzy Sets and Systems 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Science China. Mathematics 14 Probability Theory and Related Fields 14 Discrete and Continuous Dynamical Systems. Series B 14 Journal of Modern Dynamics 13 Journal of the London Mathematical Society. Second Series 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Duke Mathematical Journal 12 Stochastic Processes and their Applications 12 Entropy 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Chaos 10 Reports on Mathematical Physics 10 Journal of the Korean Mathematical Society 10 Mathematische Annalen 9 Letters in Mathematical Physics 9 Memoirs of the American Mathematical Society 9 Annals of Mathematics. Second Series 8 Bulletin of the Australian Mathematical Society 8 Mathematica Slovaca 8 Science in China. Series A 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Fundamenta Mathematicae 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Statistics & Probability Letters 7 Acta Mathematica Hungarica 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 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 Annales Henri Poincaré 6 Applied Mathematics and Computation 6 Journal of Number Theory 6 Mathematical Systems Theory 6 Proceedings of the London Mathematical Society. Third Series 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Theoretical Probability 6 Geometric and Functional Analysis. GAFA 6 Topological Methods in Nonlinear Analysis 6 Journal of Mathematical Sciences (New York) 6 Taiwanese Journal of Mathematics 6 Bulletin of the American Mathematical Society 5 Studia Mathematica 5 The Annals of Probability 5 The Annals of Statistics 5 Archiv der Mathematik 5 Bulletin de la Société Mathématique de France 5 Colloquium Mathematicum 5 Mathematische Nachrichten 5 Results in Mathematics 5 Theoretical Computer Science 5 Journal of the American Mathematical Society 5 The Journal of Geometric Analysis 5 Aequationes Mathematicae 5 Acta Mathematica Sinica. New Series 5 Journal of Nonlinear Science 5 Journal of the Australian Mathematical Society 5 Advances in Difference Equations 5 Proceedings of the Steklov Institute of Mathematics 5 Groups, Geometry, and Dynamics 5 Journal of Fractal Geometry 4 Communications on Pure and Applied Mathematics 4 Journal of Computational Physics 4 Rocky Mountain Journal of Mathematics 4 Reviews in Mathematical Physics ...and 293 more Serials all top 5 Cited in 60 Fields 2,141 Dynamical systems and ergodic theory (37-XX) 561 Measure and integration (28-XX) 336 General topology (54-XX) 268 Probability theory and stochastic processes (60-XX) 171 Number theory (11-XX) 102 Operator theory (47-XX) 96 Statistical mechanics, structure of matter (82-XX) 78 Functional analysis (46-XX) 74 Differential geometry (53-XX) 66 Topological groups, Lie groups (22-XX) 60 Ordinary differential equations (34-XX) 60 Computer science (68-XX) 59 Information and communication theory, circuits (94-XX) 50 Partial differential equations (35-XX) 49 Quantum theory (81-XX) 45 Global analysis, analysis on manifolds (58-XX) 42 Statistics (62-XX) 41 Group theory and generalizations (20-XX) 40 Functions of a complex variable (30-XX) 36 Manifolds and cell complexes (57-XX) 36 Systems theory; control (93-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 34 Mathematical logic and foundations (03-XX) 33 Real functions (26-XX) 28 Several complex variables and analytic spaces (32-XX) 28 Convex and discrete geometry (52-XX) 27 Abstract harmonic analysis (43-XX) 25 Combinatorics (05-XX) 25 Difference and functional equations (39-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Numerical analysis (65-XX) 18 Biology and other natural sciences (92-XX) 16 Mechanics of particles and systems (70-XX) 15 Fluid mechanics (76-XX) 12 Algebraic geometry (14-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Algebraic topology (55-XX) 8 Approximations and expansions (41-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Operations research, mathematical programming (90-XX) 6 Associative rings and algebras (16-XX) 5 Commutative algebra (13-XX) 5 \(K\)-theory (19-XX) 5 Potential theory (31-XX) 5 Optics, electromagnetic theory (78-XX) 5 Relativity and gravitational theory (83-XX) 4 Field theory and polynomials (12-XX) 4 Category theory; homological algebra (18-XX) 4 Sequences, series, summability (40-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) 2 Mechanics of deformable solids (74-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral equations (45-XX) 1 Geophysics (86-XX) Citations by Year