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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 2019/20:
None


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


Most relevant 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.

Research grants:
ERC, Resonaces (1.09.2019-31.08.2024), £1.6m
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
EPSRC, Warwick Symposium on Ergodic Theory and Dynamical Systems (1.9.2010-30.8.2012) £190k
EPSRC, Maximizing measures in hyperbolic dynamics (1.4.2007 - 31.3.2010) £314k
EPSRC, Taught course centre (12.3.2007) £90k
Leverhulme, Senior Research Fellowship (1.10.2007-30.9.08)
EC, Marie Curie Fellowship: Karoly Simon (17.9.2005 - 16.9.2006) £76k
EC, Marie Curie professorship (2004-2004)
EPSRC, Pair Correlations (1.3.2005 - 28.02.2008) £139k
EPSRC, Decay of Correlations (1.1.2002-31.12.2004) £114

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