Publications

Papers:

  1. Microscopic approach to nonlinear reaction-diffusion: The case of morphogen gradient formation. w/ J. P. Boon and J. F. Lutsko. Phys. Rev. E, 85:021126, 2012. [Arxiv]
  2. Directions in orbits of geometrically finite hyperbolic subgroups. Mathematical Proceedings of the Cambridge Phil. Soc. (To Appear) 2020. [Arxiv]
  3. Invariance principle for the random Lorentz gas — beyond the Boltzmann-Grad limit. w/ B. TóthCommunications in Mathematical Physics (To Appear) 2020. [Arxiv]

Preprints:

  1. Farey sequences for thin groups. 2019. [Arxiv]
  2. Invariance principle for the random wind-tree process w/ B. Tóth 2019. [Arxiv]
  3. Long-range correlations of sequences modulo 1 2020. [Arxiv]

PhD Thesis:

Statistical properties of dynamical systems: from statistical mechanics to hyperbolic geometry, 2020 (Bristol University).

Proceedings:

  1. Invariance principle for random Lorentz gas in the Boltzmann-Grad Limit, Oberwolfach Report 10/2019 p. 33-35 (2019)
  2. Invariance principle for random Lorentz gas — Beyond the Boltzmann-Grad Limit, Oberwolfach Report 42/2019 p. 12-15 (2019)