Mark Pollicott

Q: What Schools Are Affiliated With Mark Pollicott

Mark Pollicott is affiliated with the following schools: University of Warwick, University of Manchester, Nottingham College

Mark Pollicott's AcademicInfluence.com Rankings

Mark Pollicott

Mathematics

#4965

World Rank

#7016

Historical Rank

Measure Theory

#1853

World Rank

#2265

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Mark Pollicott Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Mark Pollicott is a British mathematician known for his contributions to ergodic theory and dynamical systems. He has a particular interest in applications to other areas of mathematics, including geometry, number theory and analysis.

(See a Problem?)

Mark Pollicott's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Zeta functions and the periodic orbit structure of hyperbolic dynamics (1990) (989)
Dynamical Systems and Ergodic Theory (1998) (255)
On the rate of mixing of Axiom A flows (1985) (253)
An analogue of the prime number theorem for closed orbits of Axiom A flows (1983) (239)
Meromorphic extensions of generalised zeta functions (1986) (143)
The Hausdorff dimension of -expansions with deleted digits (1995) (138)
Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds (1993) (138)
Multifractal Analysis of Lyapunov Exponent for Continued Fraction and Manneville–Pomeau Transformations and Applications to Diophantine Approximation (1999) (136)
Anosov flows and dynamical zeta functions (2012) (132)
Differentiability and analyticity of topological entropy for Anosov and geodesic flows (1989) (112)
Equilibrium States in Negative Curvature (2012) (107)
Exponential error terms for growth functions on negatively curved surfaces (1998) (97)
Hausdorff Dimension for Randomly Perturbed Self Affine Attractors (2007) (91)
A complex Ruelle-Perron-Frobenius theorem and two counterexamples (1984) (90)
Calculating Hausdorff dimension of Julia sets and Kleinian limit sets (2002) (80)
Maximal Lyapunov exponents for random matrix products (2010) (80)
Computing the dimension of dynamically defined sets: E_2 and bounded continued fractions (2001) (76)
Escape rates for Gibbs measures (2010) (72)
The Dynamics of Schelling-Type Segregation Models and a Nonlinear Graph Laplacian Variational Problem (2001) (67)
Some applications of thermodynamic formalism to manifolds with constant negative curvature (1991) (64)
Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem (2012) (58)
The Chebotarov theorem for Galois coverings of Axiom A flows (1986) (56)
The Livsic Cocycle Equation for Compact Lie Group Extensions of Hyperbolic Systems (1997) (55)
Asymptotic Expansions for Closed Orbits in Homology Classes (2001) (54)
Orbit counting for some discrete groups acting on simply connected manifolds with negative curvature (1994) (50)
Livsic theorems for connected Lie groups (2001) (50)
The dimensions of some self-affine limit sets in the plane and hyperbolic sets (1994) (48)
Large deviations for intermittent maps (2009) (44)
Rates of mixing for potentials of summable variation (1999) (42)
Stable ergodicity for partially hyperbolic attractors with negative central exponents (2007) (41)
Error terms for closed orbits of hyperbolic flows (2001) (40)
Comparison theorems and orbit counting in hyperbolic geometry (1998) (40)
Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: A hundred decimal digits for the dimension of E2 (2016) (40)
Multifractal analysis of non-uniformly hyperbolic systems (2008) (38)
Distribution of closed geodesics on the modular surface and quadratic irrationals (1986) (37)
SYMBOLIC DYNAMICS FOR SMALE FLOWS (1987) (36)
Stationary Measures for Projective Transformations: The Blackwell and Furstenberg Measures (2012) (35)
Exponential mixing for the geodesic flow on hyperbolic three-manifolds (1992) (34)
On the mixing of Axiom A attracting flows and a conjecture of Ruelle (1999) (33)
Correlations for pairs of closed geodesics (2006) (32)
The differential zeta function for Axiom A attractors (1990) (31)
Rates of Recurrence for Zq and Rq Extensions of Subshifts of Finite Type (1994) (30)
Computing Invariant Densities and Metric Entropy (2000) (29)
Livsic theorems, maximizing measures and the stable norm (2004) (29)
Controlling the statistical properties of expanding maps (2016) (28)
Large deviations for maps with indifferent fixed points (1998) (28)
A remarkable formula for the determinant of the Laplacian (1997) (26)
Stable Ergodicity and Frame Flows (2003) (26)
Transitivity of Euclidean extensions of Anosov diffeomorphisms (2004) (25)
Rotation sets for homeomorphisms and homology (1992) (24)
Differentiability of entropy for Anosov and geodesic flows (1990) (23)
Linear response and periodic points (2016) (23)
Dynamical Zeta Functions (2011) (22)
Measurable Cocycle Rigidity for Some Non‐Compact Groups (1999) (22)
Closed geodesic distribution for manifolds of non-positive curvature (1996) (21)
Statistical Properties of Maps¶with Indifferent Periodic Points (2001) (21)
Large deviations, gibbs measures and closed orbits for hyperbolic flows (1995) (21)
Invariance Principles for Interval Maps with an Indifferent Fixed Point (2002) (20)
Unique Bernoulli g-measures (2010) (20)
Derivatives of topological entropy for Anosov and geodesic flows (1994) (20)
Analyticity of dimensions for hyperbolic surface diffeomorphisms (2015) (19)
A Weil–Petersson type metric on spaces of metric graphs (2014) (19)
Large deviations and the distribution of pre-images of rational maps (1996) (19)
A SYMBOLIC PROOF OF A THEOREM OF MARGULIS ON GEODESIC ARCS ON NEGATIVELY CURVED MANIFOLDS (1995) (19)
Countable state shifts and uniqueness of g -measures (2005) (19)
Large Deviations, Fluctuations and Shrinking Intervals (2009) (19)
Pair correlations of sequences in higher dimensions (2007) (18)
Entropy of Hidden Markov Processes and Connections to Dynamical Systems: Factors of Gibbs measures for full shifts (2011) (18)
Ergodic properties of linear actions of (2×2)-matrices (2003) (18)
Orthonormal expansions of invariant densities for expanding maps (2005) (17)
Rigorous Computation of Diffusion Coefficients for Expanding Maps (2018) (17)
POINCARÉ SERIES AND COMPARISON THEOREMS FOR VARIABLE NEGATIVE CURVATURE (2003) (17)
Phase transitions in long-range Ising models and an optimal condition for factors of $g$ -measures (2016) (17)
Joint spectral radius, Sturmian measures and the finiteness conjecture (2015) (16)
An entropy for $ℤ^2$ -actions with finite entropy generators (1998) (16)
Length asymptotics in higher Teichmüller theory (2013) (16)
LIMITING DISTRIBUTIONS FOR GEODESICS EXCURSIONS ON THE MODULAR SURFACE (2007) (16)
$\mathbb Z^d$-covers of horosphere foliations (1999) (16)
Distribution results for lattices in SL(2,ℚp) (2005) (15)
Addendum to ‘Periodic orbits and dynamical spectra’ (1998) (15)
Ergodic theorems for actions of hyperbolic groups (2012) (15)
Positive-measure self-similar sets without interior (2006) (15)
Sets of nondifferentiability for conjugacies between expanding interval maps (2008) (15)
Free Energy as a Dynamical Invariant (or Can You Hear the Shape of a Potential?) (2003) (15)
Asymptotic Counting in Conformal Dynamical Systems (2017) (15)
Properties of measures supported on fat Sierpinski carpets (2006) (14)
Non-homogeneous equilibrium states and convergence speeds of averaging operators (2000) (14)
Topological dynamics of the Weil-Petersson geodesic flow (2007) (13)
Stability of mixing rates for Axiom A attractors (2003) (13)
Angular self-intersections for closed geodesics on surfaces (2005) (13)
A note on the Artuso-Aurell-Cvitanovic approach to the Feigenbaum tangent operator (1991) (13)
Ck-rigidity for hyperbolic flows II (1990) (12)
Regularity of solutions to the measurable Livsic equation (1999) (12)
Livšic's theorem for semisimple Lie groups (2001) (12)
Open Conformal Systems and Perturbations of Transfer Operators (2018) (12)
Multifractal analysis and the variance of Gibbs measures (2007) (12)
Rates of Convergence for Linear Actions of Cocompact Lattices on the Complex Plane (2011) (11)
Hyperbolic Dynamics, Fluctuations and Large Deviations (2015) (11)
ERROR TERMS IN “PRIME ORBIT THEOREMS” FOR LOCALLY CONSTANT SUSPENDED FLOWS (1990) (11)
Ergodic Theory of Kusuoka Measures (2015) (10)
Contraction in mean and transfer operators (2001) (10)
Geometry and Dynamics of Planar Linkages (2013) (10)
Asymptotic distribution of closed geodesics (1985) (10)
Growth series for the commutator subgroup (1996) (9)
Estimating singularity dimension (2014) (9)
Recovering the time-dependent transmission rate from infection data (2009) (9)
DISTRIBUTION OF ERGODIC SUMS FOR HYPERBOLIC MAPS (2004) (9)
Ergodicity of the geodesic flow on non-complete negatively curved surfaces (2009) (9)
How Smooth is Your Wavelet? Wavelet Regularity via Thermodynamic Formalism (2008) (9)
A dynamical approach to accelerating numerical integration with equidistributed points (2007) (8)
Ergodic properties of the Bolyai-Rényi expansion (2000) (8)
Ergodic theory of Z[d] actions : proceedings of the Warwick symposium, 1993-4 (1996) (8)
Distributions at infinity for Riemann surfaces (1989) (8)
Micromeasure distributions and applications for conformally generated fractals (2015) (8)
Large Deviation Results for Periodic Points of a Rational Map (2007) (8)
Entropy of Hidden Markov Processes and Connections to Dynamical Systems: Computing entropy rates for hidden Markov processes (2011) (8)
Uniform lower bounds on the dimension of Bernoulli convolutions (2021) (8)
The Hausdorff dimension of measures for iterated function systems which contract on average (2008) (8)
Periodic Orbits and Zeta Functions (1997) (7)
The circle problem on surfaces of variable negative curvature (1997) (7)
Correlations of Length Spectra for Negatively Curved Manifolds (2013) (7)
Stationary measures associated to analytic iterated function schemes (2018) (7)
Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups (2020) (6)
Periodic Points, Escape Rates and Escape Measures (2014) (6)
A Nonlinear Transfer Operator Theorem (2016) (6)
Dynamical Systems and Ergodic Theory: Interval maps (1998) (5)
On the Hannay–Ozorio De Almeida Sum Formula (2011) (5)
Cr-rigidity theorems for hyperbolic flows (1988) (5)
Rigorous dimension estimates for Cantor sets arising in Zaremba theory (2020) (5)
The Picard group, closed geodesics and zeta functions (1994) (5)
Kleinian groups, Laplacian on forms and currents at infinity (1990) (5)
Logarithm Laws for Equilibrium States in Negative Curvature (2014) (5)
Agmon’s complex Tauberian theorem and closed orbits for hyperbolic and geodesic flows (1992) (5)
The mathematical research of William Parry FRS (2008) (5)
Weil–Petersson metrics, Manhattan curves and Hausdorff dimension (2016) (4)
Generalized equilibrium states and behavior of averaging operators (1998) (4)
Margulis distributions for Anosov flows (1987) (4)
Pseudo-Anosov foliations on periodic surfaces (2007) (4)
INFINITESIMAL RIGIDITY OF GROUP ACTIONS WITH HYPERBOLIC GENERATORS (1995) (4)
Zeta functions and analyticity of metric entropy for anosov systems (1991) (4)
A Note on the Growth of Periodic Points for Commuting Toral Automorphisms (2012) (4)
Analytic extensions of the zeta functions for surfaces of variable negative curvature (1989) (3)
Statistical Properties of the Rauzy-Veech-Zorich Map (2021) (3)
A note on exponential mixing of Gibbs measures and counting weighted periodic orbits for geodesic flows (2014) (3)
Growth of periodic points and rotation vectors on surfaces (1997) (3)
A note on uniform distribution for primes and closed orbits (1986) (3)
Higher Teichmüller Theory for Surface Groups and Shifts of Finite Type (2021) (3)
Hausdorff dimension of Gauss–Cantor sets and two applications to classical Lagrange and Markov spectra (2021) (3)
Local Hölder regularity of densities and Livsic theorems for non-uniformly hyperbolic diffeomorphisms (2005) (3)
An analogue of Bauer’s theorem for closed orbits of skew products (2008) (3)
ESTIMATING VARIANCE FOR EXPANDING MAPS (2006) (3)
ESTIMATING VARIANCE FOR EXPANDING MAPS (2006) (3)
Volume growth for infinite graphs and translation surfaces (2021) (3)
Poincaré series and zeta functions for surface group actions on ℝ-trees (1997) (3)
Closed orbits and homology for $C^2$-flows (1999) (3)
One-dimensional maps via complex analysis in several variables (1995) (3)
Linear actions of free groups (2001) (2)
The growth and distribution of large circles on translation surfaces (2021) (2)
Estimating Mahler measures using periodic points for the doubling map (2014) (2)
Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds: Structure of “chaotic” diffeomorphisms (1993) (2)
Apollonian Circle Packings (2015) (2)
FORMULAE FOR RESIDUES OF DYNAMICAL ZETA FUNCTIONS (2005) (2)
Symbolic dynamics and geodesic flows (1992) (2)
COMPUTING ENTROPY RATES FOR HIDDEN MARKOV PROCESES (2009) (2)
Multiple mixing for hyperbolic flows (2012) (2)
Explicit examples of resonances for Anosov maps of the torus (2022) (2)
Gibbs measures for hyperbolic attractors defined by densities (2022) (2)
Hausdorff dimension and asymptotic cycles (2003) (2)
Zeta functions for certain multi-dimensional non-hyperbolic maps (2001) (2)
Ergodicity of stable manifolds for nilpotent extensions of Anosov flows (2002) (2)
Dynamical Zeta Functions and Closed Orbits for Geodesic and Hyperbolic Flows (2006) (2)
Ergodic Theory of ℤ d Actions: Frontmatter (1996) (2)
THE HAUSDORFF DIMENSION OF MEASURES WHICH CONTRACT ON AVERAGE (2007) (2)
Anosov Flows and Dynamical Zeta Functions (Errata) (2022) (1)
Continuous eigenfunctions of the transfer operator for the Dyson model (2023) (1)
Comparison theorems for closed geodesics on negatively curved surfaces (2020) (1)
Effective estimates of Lyapunov exponents for random products of positive matrices (2021) (1)
Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds: Ergodic theory for manifolds and Liapunov exponents (1993) (1)
Notes on thermodynamic formalism for Anosov flows (1991) (1)
Chapter 5 Periodic orbits and zeta functions (2002) (1)
Uniform scaling limits for ergodic measures (2015) (1)
Asymptotic Auto-Correlation for Closed Geodesics (1997) (1)
Critical points for the Hausdorff Dimension of pairs of pants (2017) (1)
How Many Inflections are There in the Lyapunov Spectrum? (2020) (1)
CHEBOTAREV-TYPE THEOREMS IN HOMOLOGY CLASSES (2007) (1)
Dynamical zeta functions and the distribution of orbits (2018) (1)
Computing multifractal spectra (2015) (1)
The Hausdorff Dimension of λ-Expansions with Deleted Digits (1995) (1)
The Schottky–Klein prime function and counting functions for Fenchel double crosses (2021) (1)
Normal points for generic hyperbolic maps (2009) (1)
An infinite interval version of the α-Kakutani equidistribution problem (2021) (1)
Hyperbolic systems, zeta functions and other friends (2018) (1)
A Weil–Petersson type metric on spaces of metric graphs (2013) (1)
Asymptotic vertex growth for graphs (2010) (1)
Periodic orbits and holonomy for hyperbolic flows (2008) (1)
An upper bound on the dimension of the Rauzy gasket (2021) (1)
Free Energy as a Geometric Invariant (2005) (1)
Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces (2018) (1)
Chapter 3 Periodic Points, Escape Rates and Escape Measures (2014) (0)
Large deviations, Gibbs measures and closed geodesics for rank one geodesic flows (2017) (0)
A note on the shrinking sector problem for surfaces of variable negative curvature (2017) (0)
# A 11 INTEGERS 11 B ( 2011 ) DYNAMICAL ZETA FUNCTIONS (0)
Invariant measures for commuting transformations (1998) (0)
Correlations of Length Spectra for Negatively Curved Manifolds (2012) (0)
Measure theoretic entropy (1998) (0)
Closing lemmas and periodic points (1993) (0)
Rigidity of pressures of H\"older potentials and the fitting of analytic functions via them (2022) (0)
Fixed points for homeomorphisms of the annulus (1998) (0)
Amenable covers for surfaces and growth of closed geodesics (2017) (0)
Fourth International Workshop on Zeta Functions in Algebra and Geometry (2017) (0)
Time-delay coordinates and polynomial mappings (2003) (0)
Factorisation of Lefschetz zeta functions and twisted periodic orbits (1994) (0)
An infinite interval version of the $\alpha$-Kakutani equidistribution problem (2021) (0)
Exponential Mixing: Lectures from Mumbai (2019) (0)
A note on the asymptotics of perturbed expanding maps. (1994) (0)
Geometry and Dynamics of Planar Linkages (2012) (0)
Distribution of orbits for Mobius groups (2007) (0)
Dynamical Systems and Ergodic Theory: Invariant measures (1998) (0)
Dynamical Systems and Ergodic Theory: Introduction (1998) (0)
Zeta functions in higher Teichmuller theory (2022) (0)
Hyperbolic dynamics, fluctuations and large deviations : Special Semester Hyperbolic Dynamics, Large Deviations and Fluctuations, January-June 2013, Centre Interfacultaire Bernoulli, École Polytechnique Fédérale de Lausanne (2015) (0)
Multiple recurrence and Szemeredi's theorem (1998) (0)
Invariant σ-algebras for ℤd-actions and their applications (1996) (0)
Singular Perturbations of Classical Original Perron–Frobenius Operators on Countable Alphabet Symbol Spaces (2017) (0)
Applications: Escape Rates for Multimodal Maps and One-Dimensional Complex Dynamics (2017) (0)
Rigorous Computation of Diffusion Coefficients for Expanding Maps (2017) (0)
A NOTE ON THE ARCSINE LAW FOR GEODESICS (2008) (0)
A note on the shrinking sector problem for surfaces of variable negative curvature (2017) (0)
Mark Pollicott - Dynamical Zeta functions (Part 1) (2013) (0)
Hyperbolic systems, zeta functions and their applications (2017) (0)
Minimizing entropy for translation surfaces (2021) (0)
TRANSITIVITY OF EUCLIDEAN EXTENSIONS OF ANOSOV DIFFEOMORPHISMS Viorel Niţică and Mark Pollicott West Chester University of Pennsylvania and University of Manchester (2001) (0)
Zeta function for Anosov Flows (2014) (0)
Hyperbolic Flows and Linking Numbers for Closed Orbits (1986) (0)
ANOTHER ACCOUNT OF THE DANI-SMILLIE THEOREM (2013) (0)
A dynamical approach to validated numerics (2022) (0)
Dynamical Zeta Functions Theorem 1.1. (artin-mazur) for a C 1 Dense Set of Diieomorphisms F : M ! (0)
Groups, drift and harmonic measures (2022) (0)
On Khintchine exponents and Lyapunov exponents of continued fractions (2019) (0)
Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval (2022) (0)
LARGE DEVIATIONS AND THE DISTRIBUTION OF PRE-IMAGES OF RATIONAL MAPS Mark Pollicott and Richard Sharp University of Manchester (2003) (0)
Exact dimensional for Bernoulli measures and the Gauss map (2020) (0)
Liv Sic Theorems for Connected Lie Groups Acknowledgements. We Would like to Thank Matt Nicol and Richard (1998) (0)
Escape Rates for Conformal GDMSs and IFSs (2017) (0)
Asymptotics of geodesic flows (2012) (0)
Weil–Petersson metrics, Manhattan curves and Hausdorff dimension (2015) (0)
Some preliminary measure theory (1993) (0)
Some remarks on the dynamics of the Mixmaster universe (2004) (0)
An application of recurrence to arithmetic progressions (1998) (0)
Invariant measures and some ergodic theory (1993) (0)
Maximizing dimension for Bernoulli measures and the Gauss map (2022) (0)
Examples and basic properties (1998) (0)
Addendum: An analogue of Artin reciprocity for closed orbits of skew products (2008) (0)
Stationary Measures for Projective Transformations: The Blackwell and Furstenberg Measures (2012) (0)
Zeta Functions for Anosov flows (2014) (0)
Symbol Escape Rates and the Survivor Set K ( U n ) (2017) (0)
Recovering the time-dependent transmission rate from epidemiological data (2009) (0)
Statistical properties in ergodic theory (1998) (0)
Logarithm Laws for Equilibrium States in Negative Curvature (2016) (0)
Constructing equilibrium states for some partially hyperbolic attractors via densities (2022) (0)
Some preliminary differential geometry (1993) (0)
Hyperbolic toral automorphisms (1998) (0)
Fourier multipliers and transfer operators (2021) (0)
Ergodic Theory of ℤ d Actions: Introduction (1996) (0)
FORMULAE FOR ZETA FUNCTIONS FOR INFINITE GRAPHS (2014) (0)
The variational principle (1998) (0)
FORMULAE FOR ZETA FUNCTIONS FOR INFINITE GRAPHS (2014) (0)
Title : The mathematical research of William Parry FRS (2008) (0)
Kneading sequences of triangles and tetrahedra (2021) (0)
An elementary proof that the Rauzy gasket is fractal (2022) (0)
Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces (2018) (0)
The Ruelle operator, zeta functions and the asymptotic distribution of closed orbits (1981) (0)
Appolonius circle counting (2018) (0)
Non-Escaping Sets in Conformal Dynamical Systems and Singular Perturbations of Perron-Frobenius Operators (2016) (0)
The Bowen$\unicode{x2013}$Series coding and zeros of zeta functions (2022) (0)
A Nonlinear Transfer Operator Theorem (2016) (0)
Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds: The Pesin set and its structure (1993) (0)

This paper list is powered by the following services:

Other Resources About Mark Pollicott

en.wikipedia.org

What Schools Are Affiliated With Mark Pollicott?

Mark Pollicott is affiliated with the following schools: