Publications and Preprints
- (with V. Kleptsyn and M. Pollicott) Uniform lower bounds on the dimension of Bernoulli
convolutions (preprint). (pdf); Raw data for the plots: Bernoulli convolutions(.dat) and {0,1,3}-system(.dat); Fortran code available on request.
- (with M. Pollicott) Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups (preprint). (pdf)
- (with O. Jenkinson and M. Pollicott) How many inflections are there in the Lyapunov spectrum? (preprint). (pdf)
- Heuristic analysis of symmetric tori (preprint). (pdf)
- (with M. Pollicott) Bowen--Series coding and zeros of the Selberg zeta function (preprint). (pdf)
- (with M. Pollicott) Zeros of the Selberg zeta function for non-compact surfaces.
Geometriae Dedicata (pdf)
- (with O. Jenkinson and M. Pollicott) Rigorous computation
of diffusion coefficients for expanding maps. J. Stat. Phys. 170 (2018), no. 2,
221–253.
(pdf)
- (with M. Pollicott) Critical points for the Hausdorff dimension
of pairs of pants. Groups Geom. Dyn. 11 (2017), no. 4, 1497—1519.
(pdf)
- (with M. Pollicott) Linear response and periodic points.
Nonlinearity 29 (2016), no. 10, 3047–3066.
(pdf)
- (with O. Kozlovski) Fast dynamo on the real plane (preprint). (pdf)
- (with O. Kozlovski) Toy dynamo model on the real line (preprint). (pdf)
- (with M. Pollicott) Estimating singularity dimension.
Math. Proc. Cambridge Philos. Soc. 158 (2015), no. 2, 223–238. (pdf)
- (with V. Dremov and G. Shabat) On dynamical systems with
2-adic time. // Proceedings of The Steklov Institute of Mathematics, 2009,
Vol. 265, pp. 101–109 (pdf)
- (with V. Dremov and G. Shabat) On the chaotic properties
of quadratic maps over non-archimedean fields. // AIP Conf. Proc.—
March 29, 2006, Issue 1, pp.43–54 (pdf)
