Edit Profile (opens in new tab) Pollicott, Mark Compute Distance To: Compute 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: 193 Publications since 1983, including 6 Books 3 Contributions as Editor Co-Authors: 53 Co-Authors with 121 Joint Publications 1,095 Co-Co-Authors all top 5 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 Colognese, Paul 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 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 Parmenter, David 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 Walters, Peter 1 Wang, Hao 1 Wolpert, Scott A. all top 5 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 7 Discrete and Continuous Dynamical Systems 6 Journal of Statistical Physics 6 American Journal of Mathematics 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 Conformal Geometry and Dynamics 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 all top 5 Fields 172 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 159 Publications have been cited 1,955 times in 1,374 Documents Cited by ▼ Year ▼ Zeta functions and the periodic orbit structure of hyperbolic dynamics. Zbl 0726.58003Parry, William; Pollicott, Mark 280 1990 An analogue of the prime number theorem for closed orbits of Axiom A flows. Zbl 0537.58038Parry, William; Pollicott, Mark 98 1983 On the rate of mixing of Axiom A flows. Zbl 0591.58025Pollicott, Mark 68 1985 Dynamical systems and ergodic theory. Zbl 0897.28009Pollicott, Mark; Yuri, Michiko 63 1998 Multifractal analysis of Lyapunov exponent for continued fraction and Manneville-Pomeau transformations and applications to diophantine approximation. Zbl 0960.37008Pollicott, Mark; Weiss, Howard 59 1999 Meromorphic extensions of generalised zeta functions. Zbl 0604.58042Pollicott, Mark 52 1986 Lectures on ergodic theory and Pesin theory on compact manifolds. Zbl 0772.58001Pollicott, Mark 46 1993 Hausdorff dimension for randomly perturbed self affine attractors. Zbl 1119.28004Jordan, Thomas; Pollicott, Mark; Simon, Károly 46 2007 Anosov flows and dynamical zeta functions. Zbl 1418.37042Giulietti, Paolo; Liverani, Carlangelo; Pollicott, Mark 45 2013 Equilibrium states in negative curvature. Zbl 1347.37001Paulin, Frédéric; Pollicott, Mark; Schapira, Barbara 44 2015 The Hausdorff dimension of \(\lambda\)-expansions with deleted digits. Zbl 0831.28005Pollicott, Mark; Simon, Károly 43 1995 Differentiability and analyticity of topological entropy for Anosov and geodesic flows. Zbl 0702.58053Katok, A.; Knieper, G.; Pollicott, M.; Weiss, H. 41 1989 Escape rates for Gibbs measures. Zbl 1263.37004Ferguson, Andrew; Pollicott, Mark 36 2012 Calculating Hausdorff dimension of Julia sets and Kleinian limit sets. Zbl 1002.37023Jenkinson, Oliver; Pollicott, Mark 33 2002 A complex Ruelle-Perron-Frobenius theorem and two counterexamples. Zbl 0575.47009Pollicott, Mark 32 1984 Exponential error terms for growth functions on negatively curved surfaces. Zbl 0999.37010Pollicott, Mark; Sharp, Richard 31 1998 Maximal Lyapunov exponents for random matrix products. Zbl 1196.37032Pollicott, Mark 29 2010 Computing the dimension of dynamically defined sets: \(E_2\) and bounded continued fractions. Zbl 0991.28009Jenkinson, Oliver; Pollicott, Mark 26 2001 The Chebotarov theorem for Galois coverings of Axiom A flows. Zbl 0626.58006Parry, William; Pollicott, Mark 22 1986 Some applications of thermodynamic formalism to manifolds with constant negative curvature. Zbl 0726.58047Pollicott, Mark 22 1991 Multifractal analysis of non-uniformly hyperbolic systems. Zbl 1214.37029Johansson, Anders; Jordan, Thomas M.; Öberg, Anders; Pollicott, Mark 21 2010 Large deviations for intermittent maps. Zbl 1221.37014Pollicott, Mark; Sharp, Richard 21 2009 Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark 20 2008 Livsic theorems for connected Lie groups. Zbl 0986.37020Pollicott, M.; Walkden, C. P. 19 2001 Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: A hundred decimal digits for the dimension of \(E_{2}\). Zbl 1386.30039Jenkinson, O.; Pollicott, M. 16 2018 Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature. Zbl 0804.58009Pollicott, Mark; Sharp, Richard 15 1994 The dimensions of some self-affine limit sets in the plane and hyperbolic sets. Zbl 0840.58027Pollicott, Mark; Weiss, Howard 15 1994 Asymptotic expansions for closed orbits in homology classes. Zbl 1049.37021Pollicott, Mark; Sharp, Richard 15 2001 On the mixing of Axiom A attracting flows and a conjecture of Ruelle. Zbl 0942.37013Pollicott, Mark 15 1999 Large deviations for maps with indifferent fixed points. Zbl 0907.28010Pollicott, Mark; Sharp, Richard; Yuri, Michiko 15 1998 The dynamics of Schelling-type segregation models and a nonlinear graph Laplacian variational problem. Zbl 0996.91082Pollicott, Mark; Weiss, Howard 14 2001 Distribution of closed geodesics on the modular surface and quadratic irrationals. Zbl 0624.58019Pollicott, Mark 14 1986 The Livšic cocycle equation for compact Lie group extensions of hyperbolic systems. Zbl 0943.37009Parry, William; Pollicott, Mark 14 1997 Controlling the statistical properties of expanding maps. Zbl 1381.37048Galatolo, Stefano; Pollicott, Mark 14 2017 Rates of recurrence for \({\mathbb{Z}}^ q\) and \({\mathbb{R}}^ q\) extensions of subshifts of finite type. Zbl 0797.60022Pollicott, Mark; Sharp, Richard 13 1994 Error terms for closed orbits of hyperbolic flows. Zbl 0988.37024Pollicott, Mark; Sharp, Richard 13 2001 Statistical properties of maps with indifferent periodic points. Zbl 0996.37030Pollicott, M.; Yuri, M. 13 2001 Stationary measures for projective transformations: the Blackwell and Furstenberg measures. Zbl 1284.37007Bárány, B.; Pollicott, M.; Simon, K. 13 2012 A remarkable formula for the determinant of the Laplacian. Zbl 0896.58067Pollicott, Mark; Rocha, André C. 12 1997 Comparison theorems and orbit counting in hyperbolic geometry. Zbl 0909.20023Pollicott, Mark; Sharp, Richard 12 1998 Homology and closed geodesics in a compact negatively curved surface. Zbl 0728.53031Pollicott, Mark 12 1991 Rates of mixing for potentials of summable variation. Zbl 0986.37005Pollicott, Mark 12 2000 Large deviations, fluctuations and shrinking intervals. Zbl 1193.37038Pollicott, Mark; Sharp, Richard 11 2009 Symbolic dynamics for Smale flows. Zbl 0628.58042Pollicott, Mark 11 1987 Transitivity of Euclidean extensions of Anosov diffeomorphisms. Zbl 1067.37032Niţică, Viorel; Pollicott, Mark 10 2005 Stable ergodicity and frame flows. Zbl 1027.37019Burns, Keith; Pollicott, Mark 10 2003 Rotation sets for homeomorphisms and homology. Zbl 0758.58018Pollicott, Mark 10 1992 Analyticity of dimensions for hyperbolic surface diffeomorphisms. Zbl 1346.37037Pollicott, M. 10 2015 Correlations for pairs of closed geodesics. Zbl 1081.37016Pollicott, Mark; Sharp, Richard 10 2006 Large deviations and the distribution of pre-images of rational maps. Zbl 0919.30020Pollicott, Mark; Sharp, Richard 9 1996 Free energy as a dynamical invariant (or can you hear the shape of a potential?). Zbl 1078.82005Pollicott, Mark; Weiss, Howard 9 2003 Livsic theorems, maximizing measures and the stable norm. Zbl 1057.37023Pollicott, Mark; Sharp, Richard 9 2004 Stability of mixing for toral extensions of hyperbolic systems. Zbl 0988.37034Parry, W.; Pollicott, M. 9 1997 Multifractal analysis and the variance of Gibbs measures. Zbl 1145.28004Jordan, T.; Pollicott, M. 9 2007 Sets of nondifferentiability for conjugacies between expanding interval maps. Zbl 1187.37035Jordan, Thomas; Kesseböhmer, Marc; Pollicott, Mark; Stratmann, Bernd O. 9 2009 Factors of Gibbs measures for full shifts. Zbl 1342.37011Pollicott, Mark; Kempton, Thomas 9 2011 Computing invariant densities and metric entropy. Zbl 0962.37002Pollicott, Mark; Jenkinson, Oliver 8 2000 A symbolic proof of a theorem of Margulis on geodesic arcs on negatively curved manifolds. Zbl 0828.58025Pollicott, Mark 8 1995 Orthonormal expansions of invariant densities for expanding maps. Zbl 1063.37027Jenkinson, Oliver; Pollicott, Mark 8 2005 Exponential mixing for the geodesic flow on hyperbolic three-manifolds. Zbl 0892.58060Pollicott, Mark 8 1992 An entropy for \(\mathbb{Z}^2\)-actions with finite entropy generators. Zbl 0915.58054Geller, W.; Pollicott, M. 8 1998 Linear response and periodic points. Zbl 06652190Pollicott, M.; Vytnova, P. 8 2016 Pair correlations of sequences in higher dimensions. Zbl 1124.11033Nair, R.; Pollicott, M. 8 2007 Open conformal systems and perturbations of transfer operators. Zbl 1397.37001Pollicott, Mark; Urbański, Mariusz 8 2017 Estimating singularity dimension. Zbl 1371.28010Pollicott, M.; Vytnova, P. 8 2015 Differentiability of entropy for Anosov and geodesic flows. Zbl 0717.58045Katok, A.; Knieper, G.; Pollicott, M.; Weiss, H. 8 1990 Countable state shifts and uniqueness of \(g\)-measures. Zbl 1128.37002Johansson, Anders; Öberg, Anders; Pollicott, Mark 7 2007 The differential zeta function for axiom A attractors. Zbl 0702.58040Pollicott, Mark 7 1990 Rigorous computation of diffusion coefficients for expanding maps. Zbl 1390.37069Jenkinson, O.; Pollicott, M.; Vytnova, P. 7 2018 Joint spectral radius, Sturmian measures and the finiteness conjecture. Zbl 1405.15028Jenkinson, Oliver; Pollicott, Mark 7 2018 Derivatives of topological entropy for Anosov and geodesic flows. Zbl 0805.58052Pollicott, Mark 6 1994 \(\mathbb{Z}^d\)-covers of horosphere foliations. Zbl 1009.37022Pollicott, Mark 6 2000 Non-homogeneous equilibrium states and convergence speeds of averaging operators. Zbl 0959.37009Fan, Aihua; Pollicott, Mark 6 2000 Contraction in mean and transfer operators. Zbl 0989.28008Pollicott, M. 6 2001 Poincaré series and comparison theorems for variable negative curvature. Zbl 1006.37015Pollicott, Mark; Sharp, Richard 6 2001 Livšic’s theorem for semisimple Lie groups. Zbl 0999.37017Nicol, Matthew; Pollicott, Mark 6 2001 Unique Bernoulli \(g\)-measures. Zbl 1267.37003Johansson, Anders; Öberg, Anders; Pollicott, Mark 6 2012 Distribution results for lattices in \(\text{SL}(2,\mathbb Q_p)\). Zbl 1101.37005Ledrappier, François; Pollicott, Mark 6 2005 Limiting distributions for geodesics excursions on the modular surface. Zbl 1179.37044Pollicott, Mark 6 2009 Ergodic theory of Kusuoka measures. Zbl 1381.37022Johansson, Anders; Öberg, Anders; Pollicott, Mark 6 2017 Properties of measures supported on fat Sierpinski carpets. Zbl 1114.28006Jordan, Thomas; Pollicott, Mark 6 2006 Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem. Zbl 1447.92470Pollicott, Mark; Wang, Hao; Weiss, Howard (Howie) 6 2012 Large deviations, Gibbs measures and closed orbits for hyperbolic flows. Zbl 0843.58102Pollicott, Mark 5 1995 Measurable cocycle rigidity for some non-compact groups. Zbl 0984.37003Nicol, M.; Pollicott, M. 5 1999 How smooth is your wavelet? Wavelet regularity via thermodynamic formalism. Zbl 1161.42020Pollicott, Mark; Weiss, Howard 5 2008 Periodic points, escape rates and escape measures. Zbl 1352.37061Bandtlow, Oscar F.; Jenkinson, Oliver; Pollicott, Mark 5 2014 Micromeasure distributions and applications for conformally generated fractals. Zbl 1371.28017Fraser, Jonathan M.; Pollicott, Mark 5 2015 A Weil-Petersson type metric on spaces of metric graphs. Zbl 1301.30043Pollicott, Mark; Sharp, Richard 5 2014 Invariance principles for interval maps with an indifferent fixed point. Zbl 1074.37007Pollicott, Mark; Sharp, Richard 5 2002 Positive-measure self-similar sets without interior. Zbl 1114.28005Csörnyei, M.; Jordan, T.; Pollicott, M.; Preiss, D.; Solomyak, B. 5 2006 Stationary measures associated to analytic iterated function schemes. Zbl 1392.28007Cipriano, Italo; Pollicott, Mark 4 2018 The Hausdorff dimension of measures for iterated function systems which contract on average. Zbl 1160.37033Jordan, Thomas; Pollicott, Mark 4 2008 A dynamical approach to accelerating numerical integration with equidistributed points. Zbl 1166.65011Jenkinson, O.; Pollicott, M. 4 2007 Closed geodesic distribution for manifolds of non-positive curvature. Zbl 0989.37022Pollicott, Mark 4 1996 Ergodic properties of the Bolyai-Rényi expansion. Zbl 0977.11032Jenkinson, Oliver; Pollicott, Mark 4 2000 Ergodic properties of linear actions of \((2\times 2)\)-matrices. Zbl 1020.37009Ledrappier, F.; Pollicott, M. 4 2003 A note on the Artuso-Aurell-Cvitanovic approach to the Feigenbaum tangent operator. Zbl 0746.58064Pollicott, Mark 4 1991 Statistics of matrix products in hyperbolic geometry. Zbl 1227.22014Pollicott, Mark; Sharp, Richard 4 2010 Ergodic theorems for actions of hyperbolic groups. Zbl 1266.28008Pollicott, Mark; Sharp, Richard 4 2013 Geometry and dynamics of planar linkages. Zbl 1260.55016Magalhães, M. L. S.; Pollicott, M. 4 2013 How many inflections are there in the Lyapunov spectrum? Zbl 07387981Jenkinson, O.; Pollicott, M.; Vytnova, P. 1 2021 Asymptotic counting in conformal dynamical systems. Zbl 1482.37002Pollicott, Mark; Urbanski, Mariusz 1 2021 Rigorous dimension estimates for Cantor sets arising in Zaremba theory. Zbl 1447.11087Jenkinson, Oliver; Pollicott, Mark 1 2020 Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces. Zbl 1441.11226Pollicott, Mark; Vytnova, Polina 1 2019 Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: A hundred decimal digits for the dimension of \(E_{2}\). Zbl 1386.30039Jenkinson, O.; Pollicott, M. 16 2018 Rigorous computation of diffusion coefficients for expanding maps. Zbl 1390.37069Jenkinson, O.; Pollicott, M.; Vytnova, P. 7 2018 Joint spectral radius, Sturmian measures and the finiteness conjecture. Zbl 1405.15028Jenkinson, Oliver; Pollicott, Mark 7 2018 Stationary measures associated to analytic iterated function schemes. Zbl 1392.28007Cipriano, Italo; Pollicott, Mark 4 2018 Hyperbolic systems, zeta functions and other friends. Zbl 1409.37030Pollicott, Mark 1 2018 Controlling the statistical properties of expanding maps. Zbl 1381.37048Galatolo, Stefano; Pollicott, Mark 14 2017 Open conformal systems and perturbations of transfer operators. Zbl 1397.37001Pollicott, Mark; Urbański, Mariusz 8 2017 Ergodic theory of Kusuoka measures. Zbl 1381.37022Johansson, Anders; Öberg, Anders; Pollicott, Mark 6 2017 A nonlinear transfer operator theorem. Zbl 1383.37021Pollicott, Mark 3 2017 Critical points for the Hausdorff dimension of pairs of pants. Zbl 1386.37046Pollicott, Mark; Vytnova, Polina 1 2017 Uniform scaling limits for ergodic measures. Zbl 1380.37017Fraser, Jonathan M.; Pollicott, Mark 1 2017 Linear response and periodic points. Zbl 06652190Pollicott, M.; Vytnova, P. 8 2016 Weil-Petersson metrics, Manhattan curves and Hausdorff dimension. Zbl 1336.30064Pollicott, Mark; Sharp, Richard 3 2016 Logarithm laws for equilibrium states in negative curvature. Zbl 1352.53029Paulin, Frédéric; Pollicott, Mark 2 2016 Equilibrium states in negative curvature. Zbl 1347.37001Paulin, Frédéric; Pollicott, Mark; Schapira, Barbara 44 2015 Analyticity of dimensions for hyperbolic surface diffeomorphisms. Zbl 1346.37037Pollicott, M. 10 2015 Estimating singularity dimension. Zbl 1371.28010Pollicott, M.; Vytnova, P. 8 2015 Micromeasure distributions and applications for conformally generated fractals. Zbl 1371.28017Fraser, Jonathan M.; Pollicott, Mark 5 2015 Apollonian circle packings. Zbl 1338.52022Pollicott, Mark 1 2015 Computing multifractal spectra. Zbl 1357.37007Kagiso, D.; Pollicott, M. 1 2015 Periodic points, escape rates and escape measures. Zbl 1352.37061Bandtlow, Oscar F.; Jenkinson, Oliver; Pollicott, Mark 5 2014 A Weil-Petersson type metric on spaces of metric graphs. Zbl 1301.30043Pollicott, Mark; Sharp, Richard 5 2014 Length asymptotics in higher Teichmüller theory. Zbl 1288.37004Pollicott, Mark; Sharp, Richard 3 2014 Estimating Mahler measures using periodic points for the doubling map. Zbl 1322.11108Pollicott, M.; Felton, P. 1 2014 Anosov flows and dynamical zeta functions. Zbl 1418.37042Giulietti, Paolo; Liverani, Carlangelo; Pollicott, Mark 45 2013 Ergodic theorems for actions of hyperbolic groups. Zbl 1266.28008Pollicott, Mark; Sharp, Richard 4 2013 Geometry and dynamics of planar linkages. Zbl 1260.55016Magalhães, M. L. S.; Pollicott, M. 4 2013 Correlations of length spectra for negatively curved manifolds. Zbl 1273.53036Pollicott, Mark; Sharp, Richard 1 2013 Escape rates for Gibbs measures. Zbl 1263.37004Ferguson, Andrew; Pollicott, Mark 36 2012 Stationary measures for projective transformations: the Blackwell and Furstenberg measures. Zbl 1284.37007Bárány, B.; Pollicott, M.; Simon, K. 13 2012 Unique Bernoulli \(g\)-measures. Zbl 1267.37003Johansson, Anders; Öberg, Anders; Pollicott, Mark 6 2012 Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem. Zbl 1447.92470Pollicott, Mark; Wang, Hao; Weiss, Howard (Howie) 6 2012 A note on the growth of periodic points for commuting toral automorphisms. Zbl 1267.37022Pollicott, Mark 2 2012 Factors of Gibbs measures for full shifts. Zbl 1342.37011Pollicott, Mark; Kempton, Thomas 9 2011 Rates of convergence for linear actions of cocompact lattices on the complex plane. Zbl 1283.11100Pollicott, Mark 4 2011 On the Hannay-Ozorio de Almeida sum formula. Zbl 1253.37041Pollicott, M.; Sharp, R. 2 2011 Computing entropy rates for hidden Markov processes. Zbl 1418.37013Pollicott, Mark 2 2011 Dynamical zeta functions. Zbl 1302.37018Pollicott, Mark 1 2011 Maximal Lyapunov exponents for random matrix products. Zbl 1196.37032Pollicott, Mark 29 2010 Multifractal analysis of non-uniformly hyperbolic systems. Zbl 1214.37029Johansson, Anders; Jordan, Thomas M.; Öberg, Anders; Pollicott, Mark 21 2010 Statistics of matrix products in hyperbolic geometry. Zbl 1227.22014Pollicott, Mark; Sharp, Richard 4 2010 Topological dynamics of the Weil-Petersson geodesic flow. Zbl 1192.37038Pollicott, Mark; Weiss, Howard; Wolpert, Scott A. 3 2010 Asymptotic vertex growth for graphs. Zbl 1221.37058Pollicott, Mark 1 2010 Large deviations for intermittent maps. Zbl 1221.37014Pollicott, Mark; Sharp, Richard 21 2009 Large deviations, fluctuations and shrinking intervals. Zbl 1193.37038Pollicott, Mark; Sharp, Richard 11 2009 Sets of nondifferentiability for conjugacies between expanding interval maps. Zbl 1187.37035Jordan, Thomas; Kesseböhmer, Marc; Pollicott, Mark; Stratmann, Bernd O. 9 2009 Limiting distributions for geodesics excursions on the modular surface. Zbl 1179.37044Pollicott, Mark 6 2009 Ergodicity of the geodesic flow on non-complete negatively curved surfaces. Zbl 1185.53091Pollicott, Mark; Weiss, Howie 3 2009 Stable ergodicity for partially hyperbolic attractors with negative central exponents. Zbl 1145.37021Burns, Keith; Dolgopyat, Dmitry; Pesin, Yakov; Pollicott, Mark 20 2008 How smooth is your wavelet? Wavelet regularity via thermodynamic formalism. Zbl 1161.42020Pollicott, Mark; Weiss, Howard 5 2008 The Hausdorff dimension of measures for iterated function systems which contract on average. Zbl 1160.37033Jordan, Thomas; Pollicott, Mark 4 2008 The mathematical research of William Parry FRS. Zbl 1134.01317Pollicott, M.; Sharp, R.; Tuncel, S.; Walters, P. 3 2008 Periodic orbits and holonomy for hyperbolic flows. Zbl 1159.37006Pollicott, Mark; Sharp, Richard 1 2008 Hausdorff dimension for randomly perturbed self affine attractors. Zbl 1119.28004Jordan, Thomas; Pollicott, Mark; Simon, Károly 46 2007 Multifractal analysis and the variance of Gibbs measures. Zbl 1145.28004Jordan, T.; Pollicott, M. 9 2007 Pair correlations of sequences in higher dimensions. Zbl 1124.11033Nair, R.; Pollicott, M. 8 2007 Countable state shifts and uniqueness of \(g\)-measures. Zbl 1128.37002Johansson, Anders; Öberg, Anders; Pollicott, Mark 7 2007 A dynamical approach to accelerating numerical integration with equidistributed points. Zbl 1166.65011Jenkinson, O.; Pollicott, M. 4 2007 Large deviation results for periodic points of a rational map. Zbl 1130.37024Pollicott, Mark; Sridharan, Shrihari 3 2007 Pseudo-Anosov foliations on periodic surfaces. Zbl 1115.37018Pollicott, Mark; Sharp, Richard 2 2007 Distribution of orbits for Möbius groups. Zbl 1151.30034Pollicott, Mark 1 2007 Correlations for pairs of closed geodesics. Zbl 1081.37016Pollicott, Mark; Sharp, Richard 10 2006 Properties of measures supported on fat Sierpinski carpets. Zbl 1114.28006Jordan, Thomas; Pollicott, Mark 6 2006 Positive-measure self-similar sets without interior. Zbl 1114.28005Csörnyei, M.; Jordan, T.; Pollicott, M.; Preiss, D.; Solomyak, B. 5 2006 Distribution of ergodic sums for hyperbolic maps. Zbl 1109.37027Pollicott, Mark; Sharp, Richard 4 2006 Angular self-intersections for closed geodesics on surfaces. Zbl 1085.37027Pollicott, Mark; Sharp, Richard 3 2006 Skew products and Livšic theory. Zbl 1109.37026Parry, William; Pollicott, Mark 1 2006 Dynamical zeta functions and closed orbits for geodesic and hyperbolic flows. 2nd printing. Zbl 1124.37013Pollicott, Mark 1 2006 Transitivity of Euclidean extensions of Anosov diffeomorphisms. Zbl 1067.37032Niţică, Viorel; Pollicott, Mark 10 2005 Orthonormal expansions of invariant densities for expanding maps. Zbl 1063.37027Jenkinson, Oliver; Pollicott, Mark 8 2005 Distribution results for lattices in \(\text{SL}(2,\mathbb Q_p)\). Zbl 1101.37005Ledrappier, François; Pollicott, Mark 6 2005 Local Hölder regularity of densities and Livsic theorems for non-uniformly hyperbolic diffeomorphisms. Zbl 1097.37018Pollicott, Mark 2 2005 Livsic theorems, maximizing measures and the stable norm. Zbl 1057.37023Pollicott, Mark; Sharp, Richard 9 2004 Entropy, exponents and invariant densities for hyperbolic systems: dependence and compution. Zbl 1147.37317Jenkinson, Oliver; Pollicott, Mark 3 2004 Stable ergodicity and frame flows. Zbl 1027.37019Burns, Keith; Pollicott, Mark 10 2003 Free energy as a dynamical invariant (or can you hear the shape of a potential?). Zbl 1078.82005Pollicott, Mark; Weiss, Howard 9 2003 Ergodic properties of linear actions of \((2\times 2)\)-matrices. Zbl 1020.37009Ledrappier, F.; Pollicott, M. 4 2003 Stability of mixing rates for Axiom A attractors. Zbl 1028.37004Pollicott, Mark 3 2003 Hausdorff dimension and asymptotic cycles. Zbl 1042.28004Pollicott, Mark 1 2003 Calculating Hausdorff dimension of Julia sets and Kleinian limit sets. Zbl 1002.37023Jenkinson, Oliver; Pollicott, Mark 33 2002 Invariance principles for interval maps with an indifferent fixed point. Zbl 1074.37007Pollicott, Mark; Sharp, Richard 5 2002 Ergodicity of stable manifolds for nilpotent extensions of Anosov flows. Zbl 1162.37314Pollicott, Mark 2 2002 Periodic orbits and zeta functions. Zbl 1050.37009Pollicott, Mark 1 2002 Computing the dimension of dynamically defined sets: \(E_2\) and bounded continued fractions. Zbl 0991.28009Jenkinson, Oliver; Pollicott, Mark 26 2001 Livsic theorems for connected Lie groups. Zbl 0986.37020Pollicott, M.; Walkden, C. P. 19 2001 Asymptotic expansions for closed orbits in homology classes. Zbl 1049.37021Pollicott, Mark; Sharp, Richard 15 2001 The dynamics of Schelling-type segregation models and a nonlinear graph Laplacian variational problem. Zbl 0996.91082Pollicott, Mark; Weiss, Howard 14 2001 Error terms for closed orbits of hyperbolic flows. Zbl 0988.37024Pollicott, Mark; Sharp, Richard 13 2001 Statistical properties of maps with indifferent periodic points. Zbl 0996.37030Pollicott, M.; Yuri, M. 13 2001 Contraction in mean and transfer operators. Zbl 0989.28008Pollicott, M. 6 2001 Poincaré series and comparison theorems for variable negative curvature. Zbl 1006.37015Pollicott, Mark; Sharp, Richard 6 2001 Livšic’s theorem for semisimple Lie groups. Zbl 0999.37017Nicol, Matthew; Pollicott, Mark 6 2001 Dynamical zeta functions. Zbl 0994.37013Pollicott, Mark 4 2001 Linear actions of free groups. Zbl 0967.37016Pollicott, Mark; Sharp, Richard 2 2001 Zeta functions for certain multi-dimensional non-hyperbolic maps. Zbl 1067.37027Pollicott, Mark; Yuri, Michiko 1 2001 Rates of mixing for potentials of summable variation. Zbl 0986.37005Pollicott, Mark 12 2000 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,194 Authors 69 Pollicott, Mark 35 Lopes, Artur Oscar 35 Sharp, Richard W. 21 Melbourne, Ian 17 Iommi, Godofredo 16 Morris, Ian D. 14 Baladi, Viviane 14 Climenhaga, Vaughn 14 Galatolo, Stefano 14 Jenkinson, Oliver 14 Todd, Mike 13 Bárány, Balázs 13 Nicol, Matthew 13 Thompson, Daniel J. 12 Barreira, Luis Manuel 12 Dolgopyat, Dmitry 12 Freitas, Jorge Milhazes 12 Sarig, Omri M. 12 Varandas, Paulo 12 Weiss, Howard 11 Liverani, Carlangelo 11 Mesón, Alejandro M. 11 Pesin, Yakov Borisovich 11 Rams, Michał 11 Stoyanov, Luchezar N. 11 Takahasi, Hiroki 11 Vericat, Fernando 10 Käenmäki, Antti 10 Mengue, Jairo K. 10 Ruelle, David Pierre 10 Sadovskaya, Victoria 10 Solomyak, Boris 10 Urbański, Mariusz 9 Demers, Mark F. 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. 7 Terhesiu, Dalia 6 Adachi, Toshiaki 6 Bahsoun, Wael 6 Faure, Frédéric 6 Haydn, Nicolai T. A. 6 Kao, Lien-Yung 6 Knieper, Gerhard 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 Tian, Xueting 6 Velozo, Anibal 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 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 ...and 1,094 more Authors all top 5 Cited in 251 Serials 140 Ergodic Theory and Dynamical Systems 76 Communications in Mathematical Physics 69 Journal of Statistical Physics 53 Transactions of the American Mathematical Society 50 Discrete and Continuous Dynamical Systems 42 Israel Journal of Mathematics 39 Nonlinearity 36 Advances in Mathematics 33 Proceedings of the American Mathematical Society 31 Inventiones Mathematicae 31 Dynamical Systems 24 Mathematische Zeitschrift 21 Journal of Mathematical Analysis and Applications 19 Monatshefte für Mathematik 19 Chaos 19 Annales Henri Poincaré 18 Geometriae Dedicata 18 Stochastics and Dynamics 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. 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Series A: Theory and Methods 3 Tokyo Journal of Mathematics 3 Advances in Applied Mathematics 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 Conformal Geometry and Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Dynamical and Control Systems 3 Communications in Contemporary Mathematics 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 3 Journal de l’École Polytechnique – Mathématiques 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 Studia Mathematica 2 Mathematics of Computation 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 ...and 151 more Serials all top 5 Cited in 57 Fields 1,070 Dynamical systems and ergodic theory (37-XX) 262 Measure and integration (28-XX) 193 Probability theory and stochastic processes (60-XX) 185 Number theory (11-XX) 111 Differential geometry (53-XX) 81 Statistical mechanics, structure of matter (82-XX) 65 Global analysis, analysis on manifolds (58-XX) 59 Functions of a complex variable (30-XX) 47 Group theory and generalizations (20-XX) 43 Topological groups, Lie groups (22-XX) 42 Quantum theory (81-XX) 36 Operator theory (47-XX) 35 General topology (54-XX) 35 Manifolds and cell complexes (57-XX) 31 Partial differential equations (35-XX) 27 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) 18 Harmonic analysis on Euclidean spaces (42-XX) 17 Functional analysis (46-XX) 16 Real functions (26-XX) 15 Statistics (62-XX) 15 Numerical analysis (65-XX) 14 Computer science (68-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Information and communication theory, circuits (94-XX) 10 Difference and functional equations (39-XX) 9 Mechanics of particles and systems (70-XX) 8 Systems theory; control (93-XX) 7 Algebraic geometry (14-XX) 7 Abstract harmonic analysis (43-XX) 6 Mathematical logic and foundations (03-XX) 6 Potential theory (31-XX) 6 Geometry (51-XX) 6 Algebraic topology (55-XX) 5 History and biography (01-XX) 4 Approximations and expansions (41-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Integral transforms, operational calculus (44-XX) 3 Relativity and gravitational theory (83-XX) 2 \(K\)-theory (19-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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