Add to ORKGIn 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 $\frac{2n}{4n+1}$
Billiard maps are a type of area-preserving twist maps and, thus, they inherit a vast num-ber of pro...
We compute explicitly the higher order terms of the formal Taylor expansion of Mather's $\beta$-func...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
In the paper, we establish Squash Rigidity Theorem—the dynamical spectral rigidity for piecewise ana...
In the paper, we establish Squash Rigidity Theorem—the dynamical spectral rigidity for piecewise ana...
For symmetrically analytic deformation of the circle (with certain Fourier decaying rate), the neces...
For symmetrically analytic deformation of the circle (with certain Fourier decaying rate), the neces...
For symmetrically analytic deformation of the circle (with certain Fourier decaying rate), the neces...
Let $q \ge 3$ be a period. There are at least two $(1,q)$-periodic trajectories inside any smooth st...
Consider the billiard map defined inside an analytic closed strictly convex curve Q. Given q>2 and 0...
Consider the billiard map defined inside an analytic closed strictly convex curve Q. Given q>2 and 0...
AbstractWe give lower bounds on the number of periodic trajectories in strictly convex smooth billia...
We consider an outer billiard around a Reulaux triangle. We prove the existence of infinitely many p...
A billiard is a map that describes the motion of a ball without mass in a closed region on the plane...
Let q = 3 be a period. There are at least two (1, q)-periodic trajectories inside any smooth strictl...
Billiard maps are a type of area-preserving twist maps and, thus, they inherit a vast num-ber of pro...
We compute explicitly the higher order terms of the formal Taylor expansion of Mather's $\beta$-func...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
In the paper, we establish Squash Rigidity Theorem—the dynamical spectral rigidity for piecewise ana...
In the paper, we establish Squash Rigidity Theorem—the dynamical spectral rigidity for piecewise ana...
For symmetrically analytic deformation of the circle (with certain Fourier decaying rate), the neces...
For symmetrically analytic deformation of the circle (with certain Fourier decaying rate), the neces...
For symmetrically analytic deformation of the circle (with certain Fourier decaying rate), the neces...
Let $q \ge 3$ be a period. There are at least two $(1,q)$-periodic trajectories inside any smooth st...
Consider the billiard map defined inside an analytic closed strictly convex curve Q. Given q>2 and 0...
Consider the billiard map defined inside an analytic closed strictly convex curve Q. Given q>2 and 0...
AbstractWe give lower bounds on the number of periodic trajectories in strictly convex smooth billia...
We consider an outer billiard around a Reulaux triangle. We prove the existence of infinitely many p...
A billiard is a map that describes the motion of a ball without mass in a closed region on the plane...
Let q = 3 be a period. There are at least two (1, q)-periodic trajectories inside any smooth strictl...
Billiard maps are a type of area-preserving twist maps and, thus, they inherit a vast num-ber of pro...
We compute explicitly the higher order terms of the formal Taylor expansion of Mather's $\beta$-func...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
