Rates of mixing for the Weil–Petersson geodesic flow I: No rapid mixing in non-exceptional moduli spaces

Keith Burns; Howard Masur; Carlos Matheus; Amie Wilkinson

doi:10.1016/j.aim.2016.10.026

Rates of mixing for the Weil–Petersson geodesic flow I: No rapid mixing in non-exceptional moduli spaces

Keith Burns
, Howard Masur
, Carlos Matheus
, Amie Wilkinson

Northwestern University
University of Chicago
University Paris 13

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

5 Citations (Scopus)

Abstract

We show that the rate of mixing of the Weil–Petersson flow on non-exceptional (higher dimensional) moduli spaces of Riemann surfaces is at most polynomial.

Original language	English
Pages (from-to)	589-602
Number of pages	14
Journal	Advances in Mathematics
Volume	306
DOIs	https://doi.org/10.1016/j.aim.2016.10.026
Publication status	Published - 14 Jan 2017
Externally published	Yes

Keywords

Moduli spaces
Rates of mixing
Weil–Petersson flow

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10.1016/j.aim.2016.10.026

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@article{9834a49d709d420b954cc8ad423d4c67,

title = "Rates of mixing for the Weil{\textendash}Petersson geodesic flow I: No rapid mixing in non-exceptional moduli spaces",

abstract = "We show that the rate of mixing of the Weil{\textendash}Petersson flow on non-exceptional (higher dimensional) moduli spaces of Riemann surfaces is at most polynomial.",

keywords = "Moduli spaces, Rates of mixing, Weil{\textendash}Petersson flow",

author = "Keith Burns and Howard Masur and Carlos Matheus and Amie Wilkinson",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2017",

month = jan,

day = "14",

doi = "10.1016/j.aim.2016.10.026",

language = "English",

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journal = "Advances in Mathematics",

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T2 - No rapid mixing in non-exceptional moduli spaces

AU - Burns, Keith

AU - Masur, Howard

AU - Matheus, Carlos

AU - Wilkinson, Amie

PY - 2017/1/14

Y1 - 2017/1/14

N2 - We show that the rate of mixing of the Weil–Petersson flow on non-exceptional (higher dimensional) moduli spaces of Riemann surfaces is at most polynomial.

AB - We show that the rate of mixing of the Weil–Petersson flow on non-exceptional (higher dimensional) moduli spaces of Riemann surfaces is at most polynomial.

KW - Moduli spaces

KW - Rates of mixing

KW - Weil–Petersson flow

U2 - 10.1016/j.aim.2016.10.026

DO - 10.1016/j.aim.2016.10.026

M3 - Article

AN - SCOPUS:84993973300

SN - 0001-8708

VL - 306

SP - 589

EP - 602

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Rates of mixing for the Weil–Petersson geodesic flow I: No rapid mixing in non-exceptional moduli spaces

Abstract

Keywords

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