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Mathematics

D-Index
38
Citations
6942
World Ranking
2319
National Ranking
152

Overview

Mark Pollicott is affiliated with the University of Warwick in the United Kingdom. Their research primarily spans the field of Mathematics with a significant focus on subfields such as Mathematical Physics, Geometry and Topology, Statistical and Nonlinear Physics, Applied Mathematics, and Computational Theory and Mathematics.

The main topics covered in Mark Pollicott's work include Mathematical Dynamics and Fractals, Quantum Chaos and Dynamical Systems, Advanced Topology and Set Theory, Geometric Analysis and Curvature Flows, Stochastic Processes and Statistical Mechanics, Advanced Differential Equations and Dynamical Systems, and Advanced Mathematical Theories and Applications.

Among their recent publications are:

  • "Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups" (2022) published in Transactions of the American Mathematical Society Series B
  • "Hausdorff dimension of Gauss-Cantor sets and two applications to classical Lagrange and Markov spectra" (2022) published in Advances in Mathematics
  • "An upper bound on the dimension of the Rauzy gasket" (2024) published in Bulletin de la Société mathématique de France
  • "Uniform lower bounds on the dimension of Bernoulli convolutions" (2021) published in Advances in Mathematics
  • "Asymptotic Counting in Conformal Dynamical Systems" (2021) published in Memoirs of the American Mathematical Society

Frequent co-authors collaborating with Mark Pollicott include Polina Vytnova, Benedict Sewell, Paul Colognese, Stephen Cantrell, and Julia Slipantschuk.

Their research is often published in the following venues:

  • arXiv (Cornell University)
  • Nonlinearity
  • Advances in Mathematics
  • Communications in Mathematical Physics
  • Mathematische Zeitschrift

Mark Pollicott has authored a book titled Thermodynamic Formalism, published in 2021 by Springer Nature, which has been cited in academic contexts.

Best Publications

  • Zeta functions and the periodic orbit structure of hyperbolic dynamics

    William Parry;Mark Pollicott

  • Dynamical Systems and Ergodic Theory

    Mark Pollicott;Michiko Yuri

  • On the rate of mixing of Axiom A flows.

    Mark Pollicott

  • An analogue of the prime number theorem for closed orbits of Axiom A flows

    William Parry;Mark Pollicott

  • Meromorphic extensions of generalised zeta functions.

    Mark Pollicott

  • Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

    Mark Pollicott

  • Anosov flows and dynamical zeta functions

    Paolo Giulietti;Carlangelo Liverani;Mark Pollicott

  • The Hausdorff dimension of -expansions with deleted digits

    Mark Pollicott;Károly Simon

  • Multifractal Analysis of Lyapunov Exponent for Continued Fraction and Manneville–Pomeau Transformations and Applications to Diophantine Approximation

    Mark Pollicott;Howard Weiss

  • Differentiability and analyticity of topological entropy for Anosov and geodesic flows

    A. Katok;G. Knieper;M. Pollicott;H. Weiss

  • A complex Ruelle-Perron-Frobenius theorem and two counterexamples

    Mark Pollicott

  • Equilibrium States in Negative Curvature

    Frédéric Paulin;Mark Pollicott;Barbara Schapira

  • EXPONENTIAL ERROR TERMS FOR GROWTH FUNCTIONS ON NEGATIVELY CURVED SURFACES

    Mark Pollicott;Richard Sharp

  • Hausdorff Dimension for Randomly Perturbed Self Affine Attractors

    Thomas Jordan;Mark Pollicott;Károly Simon

  • Calculating Hausdorff dimension of Julia sets and Kleinian limit sets

    Oliver Jenkinson;Mark Pollicott

  • The Dynamics of Schelling-Type Segregation Models and a Nonlinear Graph Laplacian Variational Problem

    Mark Pollicott;Howard Weiss

  • Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem

    Mark Pollicott;Hao Wang;Howard Howie Weiss

  • Maximal Lyapunov exponents for random matrix products

    Mark Pollicott

  • Escape rates for Gibbs measures

    Andrew Ferguson;Mark Pollicott

  • Computing the dimension of dynamically defined sets: E_2 and bounded continued fractions

    Oliver Jenkinson;Mark Pollicott

Frequent Co-Authors

Mariusz Urbański
Mariusz Urbański University of North Texas
Howard M. Weiss
Howard M. Weiss Georgia Institute of Technology
Anatole Katok
Anatole Katok Pennsylvania State University
Yakov Pesin
Yakov Pesin Pennsylvania State University
Carlangelo Liverani
Carlangelo Liverani University of Rome Tor Vergata
Boris Solomyak
Boris Solomyak Bar-Ilan University

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