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 2023/24: None

Research Interests:
Thermodynamic Formalism, dynamical systems and Ergodic Theory with applications to analysis, number theory, and geometry

Some recent publications:

• 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., 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.
• Matheus, C, Moreira, C., Pollicott, M., Vytnova, Hausdorff dimension of Gauss-Cantor sets and two applications to classical Lagrange and Markov spectra, ADVANCES IN MATHEMATICS, 409 (2022) 70pp.
• Kleptsyn, V.,Pollicott, M., Vytnova, P., Uniform lower bounds on the dimension of Bernoulli convolutions, ADVANCES IN MATHEMATICS, 395 (2022) 55pp.

Some recent Research grants:

• EPSRC, Applications of ergodic theory to geometry (15.12.2014-14.12.2019) £934k
• 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, VALIDATED NUMERICS FOR ITERATED FUNCTION SCHEMES, DYNAMICAL SYSTEMS AND RANDOM WALKS, (1.01.2023-31.12.2025), £405k
  
  
  For more information and further publications see Mark Pollicott's homepage