On the marked length spectrum of generic strictly convex billiard tables

Guan Huang; Vadim Kaloshin; Alfonso Sorrentino

doi:10.1215/00127094-2017-0038

On the marked length spectrum of generic strictly convex billiard tables

Guan Huang
, Vadim Kaloshin
, Alfonso Sorrentino

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

In this paper we show that for a generic strictly convex domain, one can recover the eigendata corresponding to Aubry-Mather periodic orbits of the induced billiard map from the (maximal) marked length spectrum of the domain.

Original language	English
Pages (from-to)	175-209
Number of pages	35
Journal	Duke Mathematical Journal
Volume	167
Issue number	1
DOIs	https://doi.org/10.1215/00127094-2017-0038
Publication status	Published - 15 Jan 2018
Externally published	Yes

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title = "On the marked length spectrum of generic strictly convex billiard tables",

abstract = "In this paper we show that for a generic strictly convex domain, one can recover the eigendata corresponding to Aubry-Mather periodic orbits of the induced billiard map from the (maximal) marked length spectrum of the domain.",

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AU - Kaloshin, Vadim

AU - Sorrentino, Alfonso

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AB - In this paper we show that for a generic strictly convex domain, one can recover the eigendata corresponding to Aubry-Mather periodic orbits of the induced billiard map from the (maximal) marked length spectrum of the domain.

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DO - 10.1215/00127094-2017-0038

M3 - Article

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On the marked length spectrum of generic strictly convex billiard tables

Abstract

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