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. (Submitted) [Arxiv] 2018.
3. Invariance principle for the random Lorentz gas — beyond the Boltzmann-Grad limit. w/ B. Tóth. (Submitted) [Arxiv] 2018.
4. Farey sequences for thin groups. (Submitted) [Arxiv] 2019.
5. Invariance Principle for the Random Wind-Tree Process w/ B. Tóth. [Arxiv] 2019.

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)