## Pollicott, Mark

Compute Distance To:
 Author ID: pollicott.mark Published as: Pollicott, Mark; Pollicott, M. Homepage: https://warwick.ac.uk/fac/sci/maths/people/staff/mark_pollicott/p1/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · GND · IdRef · theses.fr
 Documents Indexed: 191 Publications since 1983, including 6 Books 3 Contributions as Editor Co-Authors: 51 Co-Authors with 119 Joint Publications 1,062 Co-Co-Authors
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### Co-Authors

 73 single-authored 34 Sharp, Richard W. 13 Jenkinson, Oliver 12 Weiss, Howard 7 Jordan, Thomas M. 7 Parry, William 7 Vytnova, Polina 5 Yuri, Michiko 4 Johansson, Anders 4 Öberg, Anders 3 Dolgopyat, Dmitry 3 Simon, Károly 2 Burns, Keith 2 Fan, Ai Hua 2 Fraser, Jonathan MacDonald 2 Katok, Anatole 2 Knieper, Gerhard 2 Ledrappier, François 2 Nicol, Matthew 2 Paulin, Frédéric 2 Pesin, Yakov Borisovich 2 Urbański, Mariusz 1 Aimino, Romain 1 Bandtlow, Oscar F. 1 Bárány, Balázs 1 Cipriano, Italo 1 Colognese, P. 1 Csörnyei, Marianna 1 Felton, P. 1 Ferguson, Andrew L. 1 Galatolo, Stefano 1 Giulietti, Paolo 1 Kagiso, D. N. 1 Kempton, Tom 1 Kesseböhmer, Marc 1 Kleptsyn, Victor A. 1 Liverani, Carlangelo 1 Magalhães, M. L. S. 1 Niţică, Viorel 1 Preiss, David 1 Rocha, André C. 1 Schapira, Barbara 1 Schmidt, Klaus 1 Solomyak, Boris 1 Sridharan, Shrihari 1 Stoyanov, Luchezar N. 1 Stratmann, Bernd O. 1 Tuncel, Selim 1 Vaienti, Sandro 1 Walkden, C. P. 1 Wang, Hao 1 Wolpert, Scott A.
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### Serials

 16 Communications in Mathematical Physics 15 Ergodic Theory and Dynamical Systems 8 Israel Journal of Mathematics 8 Proceedings of the American Mathematical Society 8 Transactions of the American Mathematical Society 7 Nonlinearity 7 Advances in Mathematics 7 Inventiones Mathematicae 6 Journal of Statistical Physics 6 American Journal of Mathematics 6 Discrete and Continuous Dynamical Systems 4 Geometriae Dedicata 4 Journal of the London Mathematical Society. Second Series 4 Mathematische Zeitschrift 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Fundamenta Mathematicae 3 Annals of Mathematics. Second Series 3 Dynamical Systems 3 Journal of Fractal Geometry 2 Journal of Differential Geometry 2 Monatshefte für Mathematik 2 Portugaliae Mathematica 2 Indagationes Mathematicae. New Series 2 Integers 2 Astérisque 2 Lecture Notes in Mathematics 2 London Mathematical Society Lecture Note Series 2 Proceedings of the Steklov Institute of Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Duke Mathematical Journal 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Topology 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 The Asian Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Qualitative Theory of Dynamical Systems 1 Journal of Dynamical Systems and Geometric Theories 1 Bulletin of the Brazilian Mathematical Society. New Series 1 London Mathematical Society Student Texts 1 Proceedings of Symposia in Pure Mathematics 1 Journal of Biological Dynamics 1 Groups, Geometry, and Dynamics 1 Journal of Modern Dynamics 1 ISRN Geometry 1 London Mathematical Society. Newsletter
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### Fields

 170 Dynamical systems and ergodic theory (37-XX) 35 Measure and integration (28-XX) 32 Differential geometry (53-XX) 30 Number theory (11-XX) 17 Functions of a complex variable (30-XX) 12 Probability theory and stochastic processes (60-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 General topology (54-XX) 7 Group theory and generalizations (20-XX) 7 Topological groups, Lie groups (22-XX) 6 Manifolds and cell complexes (57-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

156 Publications have been cited 1,911 times in 1,339 Documents Cited by Year
Zeta functions and the periodic orbit structure of hyperbolic dynamics. Zbl 0726.58003
Parry, William; Pollicott, Mark
1990
An analogue of the prime number theorem for closed orbits of Axiom A flows. Zbl 0537.58038
Parry, William; Pollicott, Mark
1983
On the rate of mixing of Axiom A flows. Zbl 0591.58025
Pollicott, Mark
1985
Dynamical systems and ergodic theory. Zbl 0897.28009
Pollicott, Mark; Yuri, Michiko
1998
Multifractal analysis of Lyapunov exponent for continued fraction and Manneville-Pomeau transformations and applications to diophantine approximation. Zbl 0960.37008
Pollicott, Mark; Weiss, Howard
1999
Meromorphic extensions of generalised zeta functions. Zbl 0604.58042
Pollicott, Mark
1986
Hausdorff dimension for randomly perturbed self affine attractors. Zbl 1119.28004
Jordan, Thomas; Pollicott, Mark; Simon, Károly
2007
Lectures on ergodic theory and Pesin theory on compact manifolds. Zbl 0772.58001
Pollicott, Mark
1993
Anosov flows and dynamical zeta functions. Zbl 1418.37042
Giulietti, Paolo; Liverani, Carlangelo; Pollicott, Mark
2013
Equilibrium states in negative curvature. Zbl 1347.37001
Paulin, Frédéric; Pollicott, Mark; Schapira, Barbara
2015
The Hausdorff dimension of $$\lambda$$-expansions with deleted digits. Zbl 0831.28005
Pollicott, Mark; Simon, Károly
1995
Differentiability and analyticity of topological entropy for Anosov and geodesic flows. Zbl 0702.58053
Katok, A.; Knieper, G.; Pollicott, M.; Weiss, H.
1989
Escape rates for Gibbs measures. Zbl 1263.37004
Ferguson, Andrew; Pollicott, Mark
2012
Calculating Hausdorff dimension of Julia sets and Kleinian limit sets. Zbl 1002.37023
Jenkinson, Oliver; Pollicott, Mark
2002
A complex Ruelle-Perron-Frobenius theorem and two counterexamples. Zbl 0575.47009
Pollicott, Mark
1984
Exponential error terms for growth functions on negatively curved surfaces. Zbl 0999.37010
Pollicott, Mark; Sharp, Richard
1998
Maximal Lyapunov exponents for random matrix products. Zbl 1196.37032
Pollicott, Mark
2010
Computing the dimension of dynamically defined sets: $$E_2$$ and bounded continued fractions. Zbl 0991.28009
Jenkinson, Oliver; Pollicott, Mark
2001
The Chebotarov theorem for Galois coverings of Axiom A flows. Zbl 0626.58006
Parry, William; Pollicott, Mark
1986
Some applications of thermodynamic formalism to manifolds with constant negative curvature. Zbl 0726.58047
Pollicott, Mark
1991
Multifractal analysis of non-uniformly hyperbolic systems. Zbl 1214.37029
Johansson, Anders; Jordan, Thomas M.; Öberg, Anders; Pollicott, Mark
2010
Large deviations for intermittent maps. Zbl 1221.37014
Pollicott, Mark; Sharp, Richard
2009
Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021
Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark
2008
Livsic theorems for connected Lie groups. Zbl 0986.37020
Pollicott, M.; Walkden, C. P.
2001
Large deviations for maps with indifferent fixed points. Zbl 0907.28010
Pollicott, Mark; Sharp, Richard; Yuri, Michiko
1998
On the mixing of Axiom A attracting flows and a conjecture of Ruelle. Zbl 0942.37013
Pollicott, Mark
1999
The dimensions of some self-affine limit sets in the plane and hyperbolic sets. Zbl 0840.58027
Pollicott, Mark; Weiss, Howard
1994
Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature. Zbl 0804.58009
Pollicott, Mark; Sharp, Richard
1994
Distribution of closed geodesics on the modular surface and quadratic irrationals. Zbl 0624.58019
Pollicott, Mark
1986
The Livšic cocycle equation for compact Lie group extensions of hyperbolic systems. Zbl 0943.37009
Parry, William; Pollicott, Mark
1997
The dynamics of Schelling-type segregation models and a nonlinear graph Laplacian variational problem. Zbl 0996.91082
Pollicott, Mark; Weiss, Howard
2001
Asymptotic expansions for closed orbits in homology classes. Zbl 1049.37021
Pollicott, Mark; Sharp, Richard
2001
Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: A hundred decimal digits for the dimension of $$E_{2}$$. Zbl 1386.30039
Jenkinson, O.; Pollicott, M.
2018
Error terms for closed orbits of hyperbolic flows. Zbl 0988.37024
Pollicott, Mark; Sharp, Richard
2001
Rates of recurrence for $${\mathbb{Z}}^ q$$ and $${\mathbb{R}}^ q$$ extensions of subshifts of finite type. Zbl 0797.60022
Pollicott, Mark; Sharp, Richard
1994
Controlling the statistical properties of expanding maps. Zbl 1381.37048
Galatolo, Stefano; Pollicott, Mark
2017
Statistical properties of maps with indifferent periodic points. Zbl 0996.37030
Pollicott, M.; Yuri, M.
2001
A remarkable formula for the determinant of the Laplacian. Zbl 0896.58067
Pollicott, Mark; Rocha, André C.
1997
Comparison theorems and orbit counting in hyperbolic geometry. Zbl 0909.20023
Pollicott, Mark; Sharp, Richard
1998
Homology and closed geodesics in a compact negatively curved surface. Zbl 0728.53031
Pollicott, Mark
1991
Stationary measures for projective transformations: the Blackwell and Furstenberg measures. Zbl 1284.37007
Bárány, B.; Pollicott, M.; Simon, K.
2012
Rates of mixing for potentials of summable variation. Zbl 0986.37005
Pollicott, Mark
2000
Symbolic dynamics for Smale flows. Zbl 0628.58042
Pollicott, Mark
1987
Large deviations, fluctuations and shrinking intervals. Zbl 1193.37038
Pollicott, Mark; Sharp, Richard
2009
Transitivity of Euclidean extensions of Anosov diffeomorphisms. Zbl 1067.37032
Niţică, Viorel; Pollicott, Mark
2005
Rotation sets for homeomorphisms and homology. Zbl 0758.58018
Pollicott, Mark
1992
Correlations for pairs of closed geodesics. Zbl 1081.37016
Pollicott, Mark; Sharp, Richard
2006
Analyticity of dimensions for hyperbolic surface diffeomorphisms. Zbl 1346.37037
Pollicott, M.
2015
Large deviations and the distribution of pre-images of rational maps. Zbl 0919.30020
Pollicott, Mark; Sharp, Richard
1996
Stability of mixing for toral extensions of hyperbolic systems. Zbl 0988.37034
Parry, W.; Pollicott, M.
1997
Stable ergodicity and frame flows. Zbl 1027.37019
Burns, Keith; Pollicott, Mark
2003
Free energy as a dynamical invariant (or can you hear the shape of a potential?). Zbl 1078.82005
Pollicott, Mark; Weiss, Howard
2003
Livsic theorems, maximizing measures and the stable norm. Zbl 1057.37023
Pollicott, Mark; Sharp, Richard
2004
Factors of Gibbs measures for full shifts. Zbl 1342.37011
Pollicott, Mark; Kempton, Thomas
2011
Multifractal analysis and the variance of Gibbs measures. Zbl 1145.28004
Jordan, T.; Pollicott, M.
2007
Sets of nondifferentiability for conjugacies between expanding interval maps. Zbl 1187.37035
Jordan, Thomas; Kesseböhmer, Marc; Pollicott, Mark; Stratmann, Bernd O.
2009
Exponential mixing for the geodesic flow on hyperbolic three-manifolds. Zbl 0892.58060
Pollicott, Mark
1992
Linear response and periodic points. Zbl 06652190
Pollicott, M.; Vytnova, P.
2016
Estimating singularity dimension. Zbl 1371.28010
Pollicott, M.; Vytnova, P.
2015
Orthonormal expansions of invariant densities for expanding maps. Zbl 1063.37027
Jenkinson, Oliver; Pollicott, Mark
2005
A symbolic proof of a theorem of Margulis on geodesic arcs on negatively curved manifolds. Zbl 0828.58025
Pollicott, Mark
1995
An entropy for $$\mathbb{Z}^2$$-actions with finite entropy generators. Zbl 0915.58054
Geller, W.; Pollicott, M.
1998
Computing invariant densities and metric entropy. Zbl 0962.37002
Pollicott, Mark; Jenkinson, Oliver
2000
Pair correlations of sequences in higher dimensions. Zbl 1124.11033
Nair, R.; Pollicott, M.
2007
The differential zeta function for axiom A attractors. Zbl 0702.58040
Pollicott, Mark
1990
Differentiability of entropy for Anosov and geodesic flows. Zbl 0717.58045
Katok, A.; Knieper, G.; Pollicott, M.; Weiss, H.
1990
Open conformal systems and perturbations of transfer operators. Zbl 1397.37001
Pollicott, Mark; Urbański, Mariusz
2017
Rigorous computation of diffusion coefficients for expanding maps. Zbl 1390.37069
Jenkinson, O.; Pollicott, M.; Vytnova, P.
2018
Joint spectral radius, Sturmian measures and the finiteness conjecture. Zbl 1405.15028
Jenkinson, Oliver; Pollicott, Mark
2018
Ergodic theory of Kusuoka measures. Zbl 1381.37022
Johansson, Anders; Öberg, Anders; Pollicott, Mark
2017
Distribution results for lattices in $$\text{SL}(2,\mathbb Q_p)$$. Zbl 1101.37005
Ledrappier, François; Pollicott, Mark
2005
Contraction in mean and transfer operators. Zbl 0989.28008
Pollicott, M.
2001
Poincaré series and comparison theorems for variable negative curvature. Zbl 1006.37015
Pollicott, Mark; Sharp, Richard
2001
$$\mathbb{Z}^d$$-covers of horosphere foliations. Zbl 1009.37022
Pollicott, Mark
2000
Limiting distributions for geodesics excursions on the modular surface. Zbl 1179.37044
Pollicott, Mark
2009
Non-homogeneous equilibrium states and convergence speeds of averaging operators. Zbl 0959.37009
Fan, Aihua; Pollicott, Mark
2000
Properties of measures supported on fat Sierpinski carpets. Zbl 1114.28006
Jordan, Thomas; Pollicott, Mark
2006
Livšic’s theorem for semisimple Lie groups. Zbl 0999.37017
Nicol, Matthew; Pollicott, Mark
2001
Countable state shifts and uniqueness of $$g$$-measures. Zbl 1128.37002
Johansson, Anders; Öberg, Anders; Pollicott, Mark
2007
Derivatives of topological entropy for Anosov and geodesic flows. Zbl 0805.58052
Pollicott, Mark
1994
Invariance principles for interval maps with an indifferent fixed point. Zbl 1074.37007
Pollicott, Mark; Sharp, Richard
2002
Micromeasure distributions and applications for conformally generated fractals. Zbl 1371.28017
Fraser, Jonathan M.; Pollicott, Mark
2015
How smooth is your wavelet? Wavelet regularity via thermodynamic formalism. Zbl 1161.42020
Pollicott, Mark; Weiss, Howard
2008
Measurable cocycle rigidity for some non-compact groups. Zbl 0984.37003
Nicol, M.; Pollicott, M.
1999
Periodic points, escape rates and escape measures. Zbl 1352.37061
Bandtlow, Oscar F.; Jenkinson, Oliver; Pollicott, Mark
2014
A Weil-Petersson type metric on spaces of metric graphs. Zbl 1301.30043
Pollicott, Mark; Sharp, Richard
2014
Large deviations, Gibbs measures and closed orbits for hyperbolic flows. Zbl 0843.58102
Pollicott, Mark
1995
Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem. Zbl 1447.92470
Pollicott, Mark; Wang, Hao; Weiss, Howard (Howie)
2012
Unique Bernoulli $$g$$-measures. Zbl 1267.37003
Johansson, Anders; Öberg, Anders; Pollicott, Mark
2012
Positive-measure self-similar sets without interior. Zbl 1114.28005
Csörnyei, M.; Jordan, T.; Pollicott, M.; Preiss, D.; Solomyak, B.
2006
Ergodic properties of linear actions of $$(2\times 2)$$-matrices. Zbl 1020.37009
Ledrappier, F.; Pollicott, M.
2003
A note on the Artuso-Aurell-Cvitanovic approach to the Feigenbaum tangent operator. Zbl 0746.58064
Pollicott, Mark
1991
A dynamical approach to accelerating numerical integration with equidistributed points. Zbl 1166.65011
Jenkinson, O.; Pollicott, M.
2007
The Hausdorff dimension of measures for iterated function systems which contract on average. Zbl 1160.37033
Jordan, Thomas; Pollicott, Mark
2008
Regularity of solutions to the measurable Livsic equation. Zbl 0924.58069
Pollicott, M.; Yuri, M.
1999
Ergodic properties of the Bolyai-Rényi expansion. Zbl 0977.11032
Jenkinson, Oliver; Pollicott, Mark
2000
Closed geodesic distribution for manifolds of non-positive curvature. Zbl 0989.37022
Pollicott, Mark
1996
Dynamical zeta functions. Zbl 0994.37013
Pollicott, Mark
2001
Statistics of matrix products in hyperbolic geometry. Zbl 1227.22014
Pollicott, Mark; Sharp, Richard
2010
Rates of convergence for linear actions of cocompact lattices on the complex plane. Zbl 1283.11100
Pollicott, Mark
2011
How many inflections are there in the Lyapunov spectrum? Zbl 07387981
Jenkinson, O.; Pollicott, M.; Vytnova, P.
2021
Asymptotic counting in conformal dynamical systems. Zbl 1482.37002
Pollicott, Mark; Urbanski, Mariusz
2021
Rigorous dimension estimates for Cantor sets arising in Zaremba theory. Zbl 1447.11087
Jenkinson, Oliver; Pollicott, Mark
2020
Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces. Zbl 1441.11226
Pollicott, Mark; Vytnova, Polina
2019
Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: A hundred decimal digits for the dimension of $$E_{2}$$. Zbl 1386.30039
Jenkinson, O.; Pollicott, M.
2018
Rigorous computation of diffusion coefficients for expanding maps. Zbl 1390.37069
Jenkinson, O.; Pollicott, M.; Vytnova, P.
2018
Joint spectral radius, Sturmian measures and the finiteness conjecture. Zbl 1405.15028
Jenkinson, Oliver; Pollicott, Mark
2018
Stationary measures associated to analytic iterated function schemes. Zbl 1392.28007
Cipriano, Italo; Pollicott, Mark
2018
Controlling the statistical properties of expanding maps. Zbl 1381.37048
Galatolo, Stefano; Pollicott, Mark
2017
Open conformal systems and perturbations of transfer operators. Zbl 1397.37001
Pollicott, Mark; Urbański, Mariusz
2017
Ergodic theory of Kusuoka measures. Zbl 1381.37022
Johansson, Anders; Öberg, Anders; Pollicott, Mark
2017
A nonlinear transfer operator theorem. Zbl 1383.37021
Pollicott, Mark
2017
Critical points for the Hausdorff dimension of pairs of pants. Zbl 1386.37046
Pollicott, Mark; Vytnova, Polina
2017
Linear response and periodic points. Zbl 06652190
Pollicott, M.; Vytnova, P.
2016
Weil-Petersson metrics, Manhattan curves and Hausdorff dimension. Zbl 1336.30064
Pollicott, Mark; Sharp, Richard
2016
Equilibrium states in negative curvature. Zbl 1347.37001
Paulin, Frédéric; Pollicott, Mark; Schapira, Barbara
2015
Analyticity of dimensions for hyperbolic surface diffeomorphisms. Zbl 1346.37037
Pollicott, M.
2015
Estimating singularity dimension. Zbl 1371.28010
Pollicott, M.; Vytnova, P.
2015
Micromeasure distributions and applications for conformally generated fractals. Zbl 1371.28017
Fraser, Jonathan M.; Pollicott, Mark
2015
Computing multifractal spectra. Zbl 1357.37007
Kagiso, D.; Pollicott, M.
2015
Apollonian circle packings. Zbl 1338.52022
Pollicott, Mark
2015
Periodic points, escape rates and escape measures. Zbl 1352.37061
Bandtlow, Oscar F.; Jenkinson, Oliver; Pollicott, Mark
2014
A Weil-Petersson type metric on spaces of metric graphs. Zbl 1301.30043
Pollicott, Mark; Sharp, Richard
2014
Length asymptotics in higher Teichmüller theory. Zbl 1288.37004
Pollicott, Mark; Sharp, Richard
2014
Estimating Mahler measures using periodic points for the doubling map. Zbl 1322.11108
Pollicott, M.; Felton, P.
2014
Anosov flows and dynamical zeta functions. Zbl 1418.37042
Giulietti, Paolo; Liverani, Carlangelo; Pollicott, Mark
2013
Geometry and dynamics of planar linkages. Zbl 1260.55016
Magalhães, M. L. S.; Pollicott, M.
2013
Ergodic theorems for actions of hyperbolic groups. Zbl 1266.28008
Pollicott, Mark; Sharp, Richard
2013
Correlations of length spectra for negatively curved manifolds. Zbl 1273.53036
Pollicott, Mark; Sharp, Richard
2013
Escape rates for Gibbs measures. Zbl 1263.37004
Ferguson, Andrew; Pollicott, Mark
2012
Stationary measures for projective transformations: the Blackwell and Furstenberg measures. Zbl 1284.37007
Bárány, B.; Pollicott, M.; Simon, K.
2012
Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem. Zbl 1447.92470
Pollicott, Mark; Wang, Hao; Weiss, Howard (Howie)
2012
Unique Bernoulli $$g$$-measures. Zbl 1267.37003
Johansson, Anders; Öberg, Anders; Pollicott, Mark
2012
A note on the growth of periodic points for commuting toral automorphisms. Zbl 1267.37022
Pollicott, Mark
2012
Factors of Gibbs measures for full shifts. Zbl 1342.37011
Pollicott, Mark; Kempton, Thomas
2011
Rates of convergence for linear actions of cocompact lattices on the complex plane. Zbl 1283.11100
Pollicott, Mark
2011
Computing entropy rates for hidden Markov processes. Zbl 1418.37013
Pollicott, Mark
2011
On the Hannay-Ozorio de Almeida sum formula. Zbl 1253.37041
Pollicott, M.; Sharp, R.
2011
Dynamical zeta functions. Zbl 1302.37018
Pollicott, Mark
2011
Maximal Lyapunov exponents for random matrix products. Zbl 1196.37032
Pollicott, Mark
2010
Multifractal analysis of non-uniformly hyperbolic systems. Zbl 1214.37029
Johansson, Anders; Jordan, Thomas M.; Öberg, Anders; Pollicott, Mark
2010
Statistics of matrix products in hyperbolic geometry. Zbl 1227.22014
Pollicott, Mark; Sharp, Richard
2010
Topological dynamics of the Weil-Petersson geodesic flow. Zbl 1192.37038
Pollicott, Mark; Weiss, Howard; Wolpert, Scott A.
2010
Asymptotic vertex growth for graphs. Zbl 1221.37058
Pollicott, Mark
2010
Large deviations for intermittent maps. Zbl 1221.37014
Pollicott, Mark; Sharp, Richard
2009
Large deviations, fluctuations and shrinking intervals. Zbl 1193.37038
Pollicott, Mark; Sharp, Richard
2009
Sets of nondifferentiability for conjugacies between expanding interval maps. Zbl 1187.37035
Jordan, Thomas; Kesseböhmer, Marc; Pollicott, Mark; Stratmann, Bernd O.
2009
Limiting distributions for geodesics excursions on the modular surface. Zbl 1179.37044
Pollicott, Mark
2009
Ergodicity of the geodesic flow on non-complete negatively curved surfaces. Zbl 1185.53091
Pollicott, Mark; Weiss, Howie
2009
Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021
Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark
2008
How smooth is your wavelet? Wavelet regularity via thermodynamic formalism. Zbl 1161.42020
Pollicott, Mark; Weiss, Howard
2008
The Hausdorff dimension of measures for iterated function systems which contract on average. Zbl 1160.37033
Jordan, Thomas; Pollicott, Mark
2008
The mathematical research of William Parry FRS. Zbl 1134.01317
Pollicott, M.; Sharp, R.; Tuncel, S.; Walters, P.
2008
Periodic orbits and holonomy for hyperbolic flows. Zbl 1159.37006
Pollicott, Mark; Sharp, Richard
2008
Hausdorff dimension for randomly perturbed self affine attractors. Zbl 1119.28004
Jordan, Thomas; Pollicott, Mark; Simon, Károly
2007
Multifractal analysis and the variance of Gibbs measures. Zbl 1145.28004
Jordan, T.; Pollicott, M.
2007
Pair correlations of sequences in higher dimensions. Zbl 1124.11033
Nair, R.; Pollicott, M.
2007
Countable state shifts and uniqueness of $$g$$-measures. Zbl 1128.37002
Johansson, Anders; Öberg, Anders; Pollicott, Mark
2007
A dynamical approach to accelerating numerical integration with equidistributed points. Zbl 1166.65011
Jenkinson, O.; Pollicott, M.
2007
Large deviation results for periodic points of a rational map. Zbl 1130.37024
Pollicott, Mark; Sridharan, Shrihari
2007
Pseudo-Anosov foliations on periodic surfaces. Zbl 1115.37018
Pollicott, Mark; Sharp, Richard
2007
Distribution of orbits for Möbius groups. Zbl 1151.30034
Pollicott, Mark
2007
Correlations for pairs of closed geodesics. Zbl 1081.37016
Pollicott, Mark; Sharp, Richard
2006
Properties of measures supported on fat Sierpinski carpets. Zbl 1114.28006
Jordan, Thomas; Pollicott, Mark
2006
Positive-measure self-similar sets without interior. Zbl 1114.28005
Csörnyei, M.; Jordan, T.; Pollicott, M.; Preiss, D.; Solomyak, B.
2006
Distribution of ergodic sums for hyperbolic maps. Zbl 1109.37027
Pollicott, Mark; Sharp, Richard
2006
Angular self-intersections for closed geodesics on surfaces. Zbl 1085.37027
Pollicott, Mark; Sharp, Richard
2006
Skew products and Livšic theory. Zbl 1109.37026
Parry, William; Pollicott, Mark
2006
Dynamical zeta functions and closed orbits for geodesic and hyperbolic flows. 2nd printing. Zbl 1124.37013
Pollicott, Mark
2006
Transitivity of Euclidean extensions of Anosov diffeomorphisms. Zbl 1067.37032
Niţică, Viorel; Pollicott, Mark
2005
Orthonormal expansions of invariant densities for expanding maps. Zbl 1063.37027
Jenkinson, Oliver; Pollicott, Mark
2005
Distribution results for lattices in $$\text{SL}(2,\mathbb Q_p)$$. Zbl 1101.37005
Ledrappier, François; Pollicott, Mark
2005
Local Hölder regularity of densities and Livsic theorems for non-uniformly hyperbolic diffeomorphisms. Zbl 1097.37018
Pollicott, Mark
2005
Livsic theorems, maximizing measures and the stable norm. Zbl 1057.37023
Pollicott, Mark; Sharp, Richard
2004
Entropy, exponents and invariant densities for hyperbolic systems: dependence and compution. Zbl 1147.37317
Jenkinson, Oliver; Pollicott, Mark
2004
Stable ergodicity and frame flows. Zbl 1027.37019
Burns, Keith; Pollicott, Mark
2003
Free energy as a dynamical invariant (or can you hear the shape of a potential?). Zbl 1078.82005
Pollicott, Mark; Weiss, Howard
2003
Ergodic properties of linear actions of $$(2\times 2)$$-matrices. Zbl 1020.37009
Ledrappier, F.; Pollicott, M.
2003
Stability of mixing rates for Axiom A attractors. Zbl 1028.37004
Pollicott, Mark
2003
Hausdorff dimension and asymptotic cycles. Zbl 1042.28004
Pollicott, Mark
2003
Calculating Hausdorff dimension of Julia sets and Kleinian limit sets. Zbl 1002.37023
Jenkinson, Oliver; Pollicott, Mark
2002
Invariance principles for interval maps with an indifferent fixed point. Zbl 1074.37007
Pollicott, Mark; Sharp, Richard
2002
Ergodicity of stable manifolds for nilpotent extensions of Anosov flows. Zbl 1162.37314
Pollicott, Mark
2002
Periodic orbits and zeta functions. Zbl 1050.37009
Pollicott, Mark
2002
Computing the dimension of dynamically defined sets: $$E_2$$ and bounded continued fractions. Zbl 0991.28009
Jenkinson, Oliver; Pollicott, Mark
2001
Livsic theorems for connected Lie groups. Zbl 0986.37020
Pollicott, M.; Walkden, C. P.
2001
The dynamics of Schelling-type segregation models and a nonlinear graph Laplacian variational problem. Zbl 0996.91082
Pollicott, Mark; Weiss, Howard
2001
Asymptotic expansions for closed orbits in homology classes. Zbl 1049.37021
Pollicott, Mark; Sharp, Richard
2001
Error terms for closed orbits of hyperbolic flows. Zbl 0988.37024
Pollicott, Mark; Sharp, Richard
2001
Statistical properties of maps with indifferent periodic points. Zbl 0996.37030
Pollicott, M.; Yuri, M.
2001
Contraction in mean and transfer operators. Zbl 0989.28008
Pollicott, M.
2001
Poincaré series and comparison theorems for variable negative curvature. Zbl 1006.37015
Pollicott, Mark; Sharp, Richard
2001
Livšic’s theorem for semisimple Lie groups. Zbl 0999.37017
Nicol, Matthew; Pollicott, Mark
2001
Dynamical zeta functions. Zbl 0994.37013
Pollicott, Mark
2001
Linear actions of free groups. Zbl 0967.37016
Pollicott, Mark; Sharp, Richard
2001
Zeta functions for certain multi-dimensional non-hyperbolic maps. Zbl 1067.37027
Pollicott, Mark; Yuri, Michiko
2001
Rates of mixing for potentials of summable variation. Zbl 0986.37005
Pollicott, Mark
2000
Computing invariant densities and metric entropy. Zbl 0962.37002
Pollicott, Mark; Jenkinson, Oliver
2000
$$\mathbb{Z}^d$$-covers of horosphere foliations. Zbl 1009.37022
Pollicott, Mark
2000
Non-homogeneous equilibrium states and convergence speeds of averaging operators. Zbl 0959.37009
Fan, Aihua; Pollicott, Mark
2000
...and 56 more Documents
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### Cited by 1,170 Authors

 68 Pollicott, Mark 35 Sharp, Richard W. 34 Lopes, Artur Oscar 20 Melbourne, Ian 17 Iommi, Godofredo 16 Morris, Ian D. 14 Baladi, Viviane 14 Jenkinson, Oliver 14 Todd, Mike 13 Bárány, Balázs 13 Climenhaga, Vaughn 13 Nicol, Matthew 13 Thompson, Daniel J. 12 Barreira, Luis Manuel 12 Freitas, Jorge Milhazes 12 Galatolo, Stefano 12 Sarig, Omri M. 12 Weiss, Howard 11 Mesón, Alejandro M. 11 Pesin, Yakov Borisovich 11 Stoyanov, Luchezar N. 11 Takahasi, Hiroki 11 Varandas, Paulo 11 Vericat, Fernando 10 Käenmäki, Antti 10 Liverani, Carlangelo 10 Mengue, Jairo K. 10 Rams, Michał 10 Ruelle, David Pierre 10 Sadovskaya, Victoria 10 Solomyak, Boris 10 Urbański, Mariusz 9 Demers, Mark F. 9 Dolgopyat, Dmitry 9 Naud, Frédéric 9 Simon, Károly 9 Török, Andrei 8 Bandtlow, Oscar F. 8 Fan, Ai Hua 8 Feng, De-Jun 8 Guillarmou, Colin 8 Kesseböhmer, Marc 8 Miles, Richard B. 8 Noorani, Mohd Salmi Mohd 8 Sun, Wenxiang 8 Vaienti, Sandro 8 Weich, Tobias 7 Barral, Julien 7 Butterley, Oliver 7 Freitas, Ana Cristina Moreira 7 Gouëzel, Sébastien 7 Jakobson, Dmitry 7 Kalinin, Boris 7 Keller, Gerhard 7 Lalley, Steven P. 7 Ledrappier, François 7 Parry, William 7 Peres, Yuval 7 Pohl, Anke D. 7 Shmerkin, Pablo S. 6 Adachi, Toshiaki 6 Faure, Frédéric 6 Haydn, Nicolai T. A. 6 Kao, Lien-Yung 6 Li, Bing 6 Luzzatto, Stefano 6 Neunhäuserer, Jörg 6 Olsen, Lars Ole Ronnow 6 Petkov, Vesselin M. 6 Rivière, Gabriel 6 Sambarino, Andrés 6 Souza, Rafael Rigão 6 Sridharan, Shrihari 6 Sunada, Toshikazu 6 Terhesiu, Dalia 6 Tian, Xueting 5 Aaronson, Jon 5 Araújo, Vítor 5 Cao, Yongluo 5 Cessac, Bruno 5 Cheng, Wenchiao 5 de la Llave, Rafael 5 Gorodetskii, Anton Semenovich 5 Hochman, Michael 5 Holland, Mark P. 5 Hu, Huyi 5 Jaerisch, Johannes 5 Knieper, Gerhard 5 Lucarini, Valerio 5 Ma, Guanzhong 5 Moreira, Carlos Gustavo Tamm de Araujo 5 Niţică, Viorel 5 Park, Kiho 5 Paulin, Frédéric 5 Peigné, Marc 5 Shen, Shu 5 Thieullen, Philippe 5 Tsujii, Masato 5 Velozo, Anibal 5 Vytnova, Polina ...and 1,070 more Authors
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### Cited in 247 Serials

 137 Ergodic Theory and Dynamical Systems 73 Communications in Mathematical Physics 68 Journal of Statistical Physics 53 Transactions of the American Mathematical Society 49 Discrete and Continuous Dynamical Systems 42 Israel Journal of Mathematics 39 Nonlinearity 36 Advances in Mathematics 32 Proceedings of the American Mathematical Society 31 Dynamical Systems 30 Inventiones Mathematicae 24 Mathematische Zeitschrift 21 Journal of Mathematical Analysis and Applications 19 Monatshefte für Mathematik 19 Chaos 18 Geometriae Dedicata 18 Stochastics and Dynamics 17 Annales Henri Poincaré 15 Annales de l’Institut Fourier 14 Chaos, Solitons and Fractals 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Bulletin of the American Mathematical Society. New Series 13 Annals of Mathematics. Second Series 12 Duke Mathematical Journal 11 Geometric and Functional Analysis. GAFA 10 Journal of Number Theory 10 Bulletin of the Brazilian Mathematical Society. New Series 10 Journal of Modern Dynamics 9 Stochastic Processes and their Applications 9 Indagationes Mathematicae. New Series 9 Journal of the European Mathematical Society (JEMS) 9 Journal of Dynamical Systems and Geometric Theories 8 Journal d’Analyse Mathématique 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Topology and its Applications 7 Mathematische Annalen 7 Physica D 7 Journal of Dynamics and Differential Equations 7 Fractals 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Mathematical Physics 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Boletim da Sociedade Brasileira de Matemática. Nova Série 6 Acta Mathematica Sinica. English Series 6 Journal of Fractal Geometry 5 Journal of Mathematical Biology 5 Journal of Functional Analysis 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Discrete and Continuous Dynamical Systems. Series S 4 Acta Mathematica 4 The Annals of Probability 4 Archiv der Mathematik 4 Commentarii Mathematici Helvetici 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Nachrichten 4 Acta Mathematica Hungarica 4 Journal of the American Mathematical Society 4 Experimental Mathematics 4 Selecta Mathematica. New Series 4 Geometry & Topology 4 Proceedings of the Steklov Institute of Mathematics 4 Groups, Geometry, and Dynamics 3 Physica A 3 Compositio Mathematica 3 Publications Mathématiques 3 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Tokyo Journal of Mathematics 3 Advances in Applied Mathematics 3 Journal of Nonlinear Science 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Mathematical Sciences (New York) 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Dynamical and Control Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of the Institute of Mathematics of Jussieu 3 Mediterranean Journal of Mathematics 3 Journal of Spectral Theory 2 International Journal of Modern Physics B 2 Advances in Applied Probability 2 Bulletin of the Australian Mathematical Society 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Bulletin of Mathematical Biology 2 Bulletin de la Société Mathématique de France 2 Functional Analysis and its Applications 2 Fundamenta Mathematicae 2 Indiana University Mathematics Journal 2 Integral Equations and Operator Theory 2 Journal of Applied Probability 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Numerische Mathematik 2 Proceedings of the Japan Academy. Series A 2 Proceedings of the London Mathematical Society. Third Series 2 Real Analysis Exchange ...and 147 more Serials
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### Cited in 57 Fields

 1,035 Dynamical systems and ergodic theory (37-XX) 255 Measure and integration (28-XX) 188 Probability theory and stochastic processes (60-XX) 179 Number theory (11-XX) 109 Differential geometry (53-XX) 79 Statistical mechanics, structure of matter (82-XX) 64 Global analysis, analysis on manifolds (58-XX) 57 Functions of a complex variable (30-XX) 46 Group theory and generalizations (20-XX) 43 Topological groups, Lie groups (22-XX) 42 Quantum theory (81-XX) 35 General topology (54-XX) 35 Manifolds and cell complexes (57-XX) 33 Operator theory (47-XX) 30 Partial differential equations (35-XX) 25 Combinatorics (05-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 20 Several complex variables and analytic spaces (32-XX) 20 Biology and other natural sciences (92-XX) 19 Ordinary differential equations (34-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 16 Functional analysis (46-XX) 15 Real functions (26-XX) 15 Statistics (62-XX) 15 Numerical analysis (65-XX) 14 Computer science (68-XX) 12 Information and communication theory, circuits (94-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Difference and functional equations (39-XX) 9 Mechanics of particles and systems (70-XX) 8 Algebraic geometry (14-XX) 8 Systems theory; control (93-XX) 7 Abstract harmonic analysis (43-XX) 6 Mathematical logic and foundations (03-XX) 6 Potential theory (31-XX) 6 Algebraic topology (55-XX) 5 History and biography (01-XX) 5 Geometry (51-XX) 4 Approximations and expansions (41-XX) 4 Fluid mechanics (76-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 $$K$$-theory (19-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Mechanics of deformable solids (74-XX)

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