Mark Pollicott

5.3k citations

165 papers · 2.7k indexed · 1 hit paper · h-index 25

Impact in

Mathematical Physics top 0.1%
- Mathematical Dynamics and Fractals
- advanced mathematical theories
- Stochastic processes and statistical mechanics
Geometry and Topology top 0.5%
- Geometric and Algebraic Topology
- Advanced Differential Equations and Dynamical Systems

Papers in ⓘ

Mathematical Physics 149
- Mathematical Dynamics and Fractals 136
- advanced mathematical theories 20
Geometry and Topology 71
- Geometric and Algebraic Topology 28
- Advanced Topology and Set Theory 15
- Advanced Differential Equations and Dynamical Systems 14

Co-authors: William Parry (5 shared papers)Richard Sharp (27 shared papers)Howard M. Weiss (10 shared papers)Michiko Yuri (5 shared papers)Károly Simon (4 shared papers)Oliver Jenkinson (9 shared papers)Thomas Jordan (6 shared papers)Carlangelo Liverani (1 shared paper)
Journals: Communications in Mathematical Physics (15 papers)Ergodic Theory and Dynamical Systems (13 papers)Transactions of the American Mathematical Society (11 papers)Nonlinearity (10 papers)Israel Journal of Mathematics (8 papers)
Partner nations: United Kingdom United States France

In The Last Decade

Mark Pollicott

157 papers receiving 2.4k citations

Hit Papers

align trajectories log scale

Zeta functions and the periodic orbit structure of hyperbolic dynamics 1990 · 419 citations

Peers

Countries citing papers authored by Mark Pollicott

Since Specialization

Citations

This map shows the geographic impact of Mark Pollicott's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Mark Pollicott with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mark Pollicott more than expected).

Fields of papers citing papers by Mark Pollicott

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark Pollicott. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Mark Pollicott. The network helps show where Mark Pollicott may publish in the future.

Co-authors

The 25 scholars most cited alongside Mark Pollicott, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Mark Pollicott Line = papers co-authored together Mark Pollicott links everyone, so they are left out of the graph.

All Works

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#	Work
1	Zeta functions and the periodic orbit structure of hyperbolic dynamics French digital mathematics library (Numdam) ·William Parry, Mark Pollicott Hit paper breakdown →	1990	419
2	On the rate of mixing of Axiom A flows Inventiones mathematicae ·Mark Pollicott	1985	163
3	Dynamical Systems and Ergodic Theory Cambridge University Press eBooks ·Mark Pollicott, Michiko Yuri	1998	148
4	An Analogue of the Prime Number Theorem for Closed Orbits of Axiom a Flows Annals of Mathematics ·William Parry, Mark Pollicott	1983	146
5	Meromorphic extensions of generalised zeta functions Inventiones mathematicae ·Mark Pollicott	1986	101
6	Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds Cambridge University Press eBooks ·Mark Pollicott	1993	75
7	Multifractal Analysis of Lyapunov Exponent for Continued Fraction and Manneville-Pomeau Transformations and Applications to Diophantine Approximation Communications in Mathematical Physics ·Mark Pollicott, Howard M. Weiss	1999	68
8	The Hausdorff dimension of $\lambda$-expansions with deleted digits Transactions of the American Mathematical Society ·Mark Pollicott, Károly Simon	1995	63
9	Anosov flows and dynamical zeta functions Annals of Mathematics ·Paolo Giulietti, Carlangelo Liverani, Mark Pollicott	2013	62
10	Differentiability and analyticity of topological entropy for Anosov and geodesic flows Inventiones mathematicae ·A. Katok, Gerhard Knieper, Mark Pollicott, Howard M. Weiss	1989	61
11	A complex Ruelle-Perron-Frobenius theorem and two counterexamples Ergodic Theory and Dynamical Systems ·Mark Pollicott	1984	61
12	Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem Journal of Biological Dynamics ·Mark Pollicott, Hao Wang, Howard M. Weiss	2012	50
13	Hausdorff Dimension for Randomly Perturbed Self Affine Attractors Communications in Mathematical Physics ·Thomas Jordan, Mark Pollicott, Károly Simon	2006	47
14	The Dynamics of Schelling-Type Segregation Models and a Nonlinear Graph Laplacian Variational Problem Advances in Applied Mathematics ·Mark Pollicott, Howard M. Weiss	2001	43
15	Exponential error terms for growth functions on negatively curved surfaces American Journal of Mathematics ·Mark Pollicott, Richard Sharp	1998	42
16	Maximal Lyapunov exponents for random matrix products Inventiones mathematicae ·Mark Pollicott	2010	38
17	Calculating Hausdorff dimension of Julia sets and Kleinian limit sets American Journal of Mathematics ·Oliver Jenkinson, Mark Pollicott	2002	35
18	Computing the dimension of dynamically defined sets: E_2 and bounded continued fractions Ergodic Theory and Dynamical Systems ·Oliver Jenkinson, Mark Pollicott	2001	32
19	The Chebotarov theorem for Galois coverings of Axiom A flows Ergodic Theory and Dynamical Systems ·William Parry, Mark Pollicott	1986	30
20	Some applications of thermodynamic formalism to manifolds with constant negative curvature Advances in Mathematics ·Mark Pollicott	1991	29

About Mark Pollicott

Mark Pollicott is a scholar working on Mathematical Physics, Geometry and Topology, Statistical and Nonlinear Physics, Applied Mathematics and Algebra and Number Theory, having authored 165 papers that have together received 2.7k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (136 papers), Quantum chaos and dynamical systems (41 papers), Geometric and Algebraic Topology (28 papers), Geometric Analysis and Curvature Flows (24 papers), advanced mathematical theories (20 papers), Chaos control and synchronization (18 papers), Advanced Topology and Set Theory (15 papers) and Advanced Differential Equations and Dynamical Systems (14 papers). The work is most often cited by research in Mathematical Physics (2.2k citations), Geometry and Topology (881 citations), Statistical and Nonlinear Physics (1.2k citations), Applied Mathematics (400 citations) and Theoretical Computer Science (31 citations). Mark Pollicott has collaborated with scholars based in United Kingdom, United States and France. Frequent co-authors include William Parry, Richard Sharp, Howard M. Weiss, Michiko Yuri, Károly Simon, Oliver Jenkinson, Thomas Jordan, Carlangelo Liverani, A. Katok and Gerhard Knieper. Their work appears in journals such as Communications in Mathematical Physics, Ergodic Theory and Dynamical Systems, Transactions of the American Mathematical Society, Nonlinearity and Israel Journal of Mathematics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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