WEIERSTRASS FILTRATION ON TEICHMULLER CURVES AND LYAPUNOV EXPONENTS

被引：14

作者：

Yu, Fei ^{[1
]}

Zuo, Kang ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Fachbereich Phys Math & Informat 08, D-55099 Mainz, Germany

来源：

JOURNAL OF MODERN DYNAMICS | 2013年 / 7卷 / 02期

关键词：

Teichmuller curves; Lyapunov exponents; Harder-Narasimhan filtration; HILBERT MODULAR SURFACES; TILED CYCLIC COVERS; ABELIAN DIFFERENTIALS; SPACES; VARIETIES; SHIMURA;

D O I：

10.3934/jmd.2013.7.209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define the Weierstrass filtration for Teichmuller curves and construct the Harder-Narasimhan filtration of the Hodge bundle of a Teichmuller curve in hyperelliptic loci and low-genus nonvarying strata. As a result we obtain the sum of Lyapunov exponents of Teichmuller curves in these strata.

引用

页码：209 / 237

页数：29

共 50 条

[21] On quantum Lyapunov exponents
Majewski, Wladyslaw A.
Marciniak, Marcin
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (31): : L523 - L528
[22] Differentiability of Lyapunov Exponents
Ferraiol, Thiago F.
San Martin, Luiz A. B.
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2020, 26 (02) : 289 - 310
[23] EXTENDED LYAPUNOV EXPONENTS
WIESEL, WE
PHYSICAL REVIEW A, 1992, 46 (12): : 7480 - 7491
[24] Parametric Lyapunov exponents
De Thelin, Henry
Gauthier, Thomas
Vigny, Gabriel
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2021, 53 (03) : 660 - 672
[25] INTEGRABILITY AND LYAPUNOV EXPONENTS
Hammerlindl, Andy
JOURNAL OF MODERN DYNAMICS, 2011, 5 (01) : 107 - 122
[26] Flexibility of Lyapunov exponents
Bochi, J.
Katok, A.
Hertz, F. Rodriguez
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2022, 42 (02) : 554 - 591
[27] RECURRENCE AND LYAPUNOV EXPONENTS
Saussol, B.
Troubetzkoy, S.
Vaienti, S.
MOSCOW MATHEMATICAL JOURNAL, 2003, 3 (01) : 189 - 203
[28] SECTIONAL LYAPUNOV EXPONENTS
Arbieto, Alexander
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (09) : 3171 - 3178
[29] Quantum Lyapunov exponents
Falsaperla, P
Fonte, G
Salesi, G
FOUNDATIONS OF PHYSICS, 2002, 32 (02) : 267 - 294
[30] THE CURRENT LYAPUNOV EXPONENTS
VAVRIV, DM
RYABOV, VB
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1990, (02): : 48 - 50

← 1 2 3 4 5 →