TY - JOUR
AB - In the paper, we establish Squash Rigidity Theorem—the dynamical spectral rigidity for piecewise analytic Bunimovich squash-type stadia whose convex arcs are homothetic. We also establish Stadium Rigidity Theorem—the dynamical spectral rigidity for piecewise analytic Bunimovich stadia whose flat boundaries are a priori fixed. In addition, for smooth Bunimovich squash-type stadia we compute the Lyapunov exponents along the maximal period two orbit, as well as the value of the Peierls’ Barrier function from the maximal marked length spectrum associated to the rotation number 2n/4n+1.
AU - Chen, Jianyu
AU - Kaloshin, Vadim
AU - Zhang, Hong Kun
ID - 14427
JF - Communications in Mathematical Physics
SN - 0010-3616
TI - Length spectrum rigidity for piecewise analytic Bunimovich billiards
ER -