Length spectrum rigidity for piecewise analytic Bunimovich billiards Chen, Jianyu Kaloshin, Vadim ; https://orcid.org/0000-0002-6051-2628 Zhang, Hong Kun 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. Springer Nature 2023 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/14427 Chen J, Kaloshin V, Zhang HK. Length spectrum rigidity for piecewise analytic Bunimovich billiards. <i>Communications in Mathematical Physics</i>. 2023;404:1-50. doi:<a href="https://doi.org/10.1007/s00220-023-04837-z">10.1007/s00220-023-04837-z</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s00220-023-04837-z info:eu-repo/semantics/altIdentifier/issn/0010-3616 info:eu-repo/semantics/altIdentifier/e-issn/1432-0916 info:eu-repo/semantics/altIdentifier/wos/001073177200001 info:eu-repo/semantics/altIdentifier/arxiv/1902.07330 info:eu-repo/semantics/openAccess