# Professor Mark Pollicott

## Mark PollicottProfessor of Mathematics |

**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,

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

**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 **