Professor Mark Pollicott
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Professor of Mathematics Office: B2.27 |
Teaching Responsibilities 2024/25: Fractal Geometry
Research Interests:
Thermodynamic formalism and computational ergodic theory, with applications to hyperbolic and spectral geometry
Some recent publications:
- Jenkinson, O., Pollicott, M. Rigorous effective bounds on the Hausdorff dimension of continued fraction Cantor sets: a hundred decimal digits for the dimension of
E_2. 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. -
An upper bound on the dimension of the Rauzy gasket (B. Sewell), BULLETIN de la SOCIETE MATHEMATIQUE de FRANCE 151 (2023), no. 4, 595–611
Some recent Research grants:
- EPSRC, Applications of ergodic theory to geometry (15.12.2014-14.12.2019) £934k
- ERC, Resonances (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
- EPSRC, Rapid mixing for compact group extensions, (1.06.2025-31.12.2025), £78k
- EPSRC, Computational Ergodic Theory, Hyperbolic Geometry and Spectral Theory, (1.01.2026-31.12.2030), £1,414k
For more information and further publications see Mark Pollicott's homepage