Showing math.DSShow all
3 papers · 1 filter
math.DS2026
Length spectrum of periodic rays for billard flow
Vesselin Petkov
We study for several compact strictly convex disjoint obstacles the length spectrum formed by the lengths of all primitive periodic reflecting rays. We prove the exist…
math.DS2025
Dirichlet dynamical zeta function for billiard flow
Vesselin Petkov
We study the Dirichlet dynamical zeta function for billiard flow corresponding to several strictly convex disjoint obstacles. For large we have $η_D(s) =\…
math.DS2025
On the number of poles of the dynamical zeta functions for billiard flow
Vesselin Petkov
We study the number of the poles of the meromorphic continuation of the dynamical zeta functions and for several strictly convex disjoint obstacles satisfying non-ecl…