The goal of the first part of this note is to get an explicit formula for rotation number and Mather $\beta$-function for ellipse. This is done here with the help of non-standard generating function of billiard problem. In this way the derivation especially simple. In the second part we discuss application of Mather $\beta$-function to rigidity problem
There exists an infinite hierarchy of integrable generalizations of the geodesic flow on an n-di-men...
The classical Birkhoff conjecture claims that the boundary of a strictly convex integrable billiard ...
The classical Birkhoff conjecture claims that the boundary of a strictly convex integrable billiard ...
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...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
Abstract. This article is concerned with the study of Mather’s β-function associated to Birkhoff bil...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
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...
In the paper, we establish Squash Rigidity Theorem - the dynamical spectral rigidity for piecewise a...
This paper is part of a series concerning the isospectral problem for an ellipse. In this paper, we ...
There exists an infinite hierarchy of integrable generalizations of the geodesic flow on an n-di-men...
The classical Birkhoff conjecture claims that the boundary of a strictly convex integrable billiard ...
The classical Birkhoff conjecture claims that the boundary of a strictly convex integrable billiard ...
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...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
Abstract. This article is concerned with the study of Mather’s β-function associated to Birkhoff bil...
This article is concerned with the study of Mather's β-function associated to Birkhoff billiards. Th...
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...
In the paper, we establish Squash Rigidity Theorem - the dynamical spectral rigidity for piecewise a...
This paper is part of a series concerning the isospectral problem for an ellipse. In this paper, we ...
There exists an infinite hierarchy of integrable generalizations of the geodesic flow on an n-di-men...
The classical Birkhoff conjecture claims that the boundary of a strictly convex integrable billiard ...
The classical Birkhoff conjecture claims that the boundary of a strictly convex integrable billiard ...
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