P7
ERC Project: Resonances
PhD Students
- Daofei Zhang (2020-2024)
- Alexander Baumgartner (2020-2024)
Externally funded PhD students
- Ben Sewell (EPSRC)
- Paul Colognese (EPSRC)
- David Parmenter (Warwick University)
Postdoctoral Researchers
- Julia Slipantshuk (2021-2024)
- Jungwon Lee (2021-2024)
Externally funded Postdoctoral Researcher
- Polina Vytnova (EPSRC)
Preprints
- How many inflections are there in the Lyapunov spectrum? (with O.Jenkinson and P.Vytnova)
- Comparison theorems for closed geodesics on negatively curved surfaces (with S. Cantrell)
- Uniform lower bounds on the dimension of Bernoulli convolutions (with V.Kleptsyn and P.Vytnova)
- Hausdorff dimension estimates applied to Lagrange and Markov spectra, Zaremba theory, and limit sets of Fuchsian groups (with P.Vytnova)
- An infinite interval version of the alpha-Kakutani equidistribution problem
- Maximizing measures for Bernoulli measures and the Gauss map to appear in Proceedings of the American Mathematical Society
- Fourier multipliers and transfer operators, to appear in Journal of Fractal Geometry
- The Schottky-Klein prime function and counting functions for Fenchel double crosses, to appear in Monatshefte fur Mathematik
Surveys
- A dynamical approach to validated numerics (survey: with O.Jenkinson)
- Statistical properties of the Rauzy-Veech-Zorich map (with R.Aimino), to appear in SLNM (JM volume)
Computer Programmes
- An online programme to calculating the dimension of limit sets for IFS coming from finitely many inverse branches for the Gauss map and a Markovian condition
- A mathematica notebook for calculating the dimension of limit sets for Bernoulli IFS coming from finitely many inverse branches for the Gauss map
- A mathematica notebook for calculating the dimension of the Cantor set E2 (consisting of numbers whose continued fraction expansion uses only the digits 1 or 2)