3 problems

Let $\mathcal L$ be a lattice defining a periodic Lorentz process with phase space $M$, invariant measure $\mu$, free-flight time $\tau$, and flow $\Phi_t$. Let $f,g:M\to\mathbb R$…

Let $\mathcal L$ be a lattice defining a periodic Lorentz process, let $d$ be the dimension, and let $F(t)$ be the free-path tail probability. A principal horizon has the highest p…

Let $\mathcal L$ be a lattice defining a periodic Lorentz process, let $F(t)$ be the free-path tail probability, and let $\mathbb H$ denote the set of maximal non-incipient horizon…