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Professor Mark Pollicott

 Mark Pollicott

Mark Pollicott

Professor of Mathematics

Office: B2.27
Phone: +44 (0)24 7657 4830
Email: M dot Pollicott at warwick dot ac dot uk

Teaching Responsibilities 2020/21:

Research Interests:
Thermodynamic Formalism, with applications to analysis, number theory, and geometry

Some recent publications:
Pollicott M, Maximal Lyapunov exponents for random matrix products, INVENTIONES MATHEMATICAE, 181, (2010), 209 - 226
Giulietti P, Liverani C., and Pollicott, M. Anosov Flows and Dynamical Zeta Functions, ANNALS OF MATHEMATICS,178, (2013) 687–773
Paulin F., Pollicott.M and Schapira.B, Equilibrium states in negative curvature. ASTERISQUE, No. 373 (2015), viii+281 pp. ISBN: 978-2-85629-818-1
Pollicott, M., Amenable covers for surfaces and growth of closed geodesics, ADVANCES IN MATHEMATICS, 319 (2017) 599–609.
Pollicott, M., and Urbanski, M., Open conformal systems and perturbations of transfer operators, Lecture Notes in Mathematics, 2206 Springer, Cham, 2017. xii+201 pp. ISBN: 978-3-319-72178-1
Jenkinson, O., Pollicott, M. Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: a hundred decimal digits for the dimension of E2. ADVANCES IN MATHEMATICS, 325 (2018)  87–115.

Recent Research grants:
ERC, Resonaces (1.09.2019-31.08.2024), £1.6m
EPSRC, Dynamical zeta functions and resonances for infinite area surfaces (1.10.2019-30.09.2002) £394k
EPSRC, Applications of ergodic theory to geometry (15.12.2014-14.12.2019) £934k
EPSRC, A transfer operator approach to Maass cusp forms and the Selberg zeta function (1.10.2012-30.9.2015) £268k
EPSRC, Thermodynamic formalism and flows on moduli space (1.4.2012-31.3.2015) £265k

For more information and further publications see Mark Pollicott's homepage