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 2022/23: Fractal Geometry (Term 2)

Research Interests:
Thermodynamic Formalism, dynamical systems and Ergodic Theory 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:

EPSRC, VALIDATED NUMERICS FOR ITERATED FUNCTION SCHEMES, DYNAMICAL SYSTEMS AND RANDOM WALKS, (1.01.2023-31.12.2025), £405k
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
For more information and further publications see Mark Pollicott's homepage