5 citations · 8 across the 4 of their papers we have counts for
4 papers
A survey on Polynomial in momenta integrals for billiard problems
Michael, Bialy, Andrey E. Mironov
In this paper we give a short survey of recent results on algebraic version of the Birkhoff conjecture for integrable billiards on surfaces of constant curvature. We also discuss i…
Effective bounds in E.Hopf rigidity for billiards and geodesic flows
Michael, Bialy
In this paper we show that in some cases the E.Hopf rigidity phenomenon admits quantitative interpretation. More precisely we estimate from above the measure of the set $\mathcal{M…
Integrable geodesic flows on 2-torus: formal solutions and variational principle
Michael, Bialy, Andrey E. Mironov
In this paper we study quasi-linear system of partial differential equations which describes the existence of the polynomial in momenta first integral of the integrable geodesic fl…
Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane
Michael, Bialy
This paper deals with Hopf type rigidity for convex billiards on surfaces of constant curvature. We prove that the only convex billiard without conjugate points on the Hyperbolic p…