Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Length Spectrum Rigidity for piecewise analytic Bunimovich Billiards   In the paper, we establish Squash Rigidity Theorem - the dynamical spectral
rigidity for piecewise analytic Bunimovich squash-type stadia. 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 $\frac{2n}{4n+1}$.

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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn