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Author ID: walters.peter Recent zbMATH articles by "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

Publications by Year

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
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
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 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