# Continuous subadditive processes and formulae for Lyapunov characteristic exponents

Annales Polonici Mathematici (1995)

- Volume: 61, Issue: 2, page 101-134
- ISSN: 0066-2216

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topWojciech Słomczyński. "Continuous subadditive processes and formulae for Lyapunov characteristic exponents." Annales Polonici Mathematici 61.2 (1995): 101-134. <http://eudml.org/doc/262468>.

@article{WojciechSłomczyński1995,

abstract = {Asymptotic properties of various semidynamical systems can be examined by means of continuous subadditive processes. To investigate such processes we consider different types of exponents: characteristic, central, singular and global exponents and we study their properties. We derive formulae for central and singular exponents and show that they provide upper bounds for characteristic exponents. The concept of conjugate processes introduced in this paper allows us to find lower bounds for characteristic exponents. We also give applications to continuous cocycles.},

author = {Wojciech Słomczyński},

journal = {Annales Polonici Mathematici},

keywords = {Lyapunov exponents; subadditive processes; invariant measures; cocycles; asymptotic properties; semidynamical systems; upper bounds; characteristic exponents; conjugate processes; lower bounds; continuous cocycles},

language = {eng},

number = {2},

pages = {101-134},

title = {Continuous subadditive processes and formulae for Lyapunov characteristic exponents},

url = {http://eudml.org/doc/262468},

volume = {61},

year = {1995},

}

TY - JOUR

AU - Wojciech Słomczyński

TI - Continuous subadditive processes and formulae for Lyapunov characteristic exponents

JO - Annales Polonici Mathematici

PY - 1995

VL - 61

IS - 2

SP - 101

EP - 134

AB - Asymptotic properties of various semidynamical systems can be examined by means of continuous subadditive processes. To investigate such processes we consider different types of exponents: characteristic, central, singular and global exponents and we study their properties. We derive formulae for central and singular exponents and show that they provide upper bounds for characteristic exponents. The concept of conjugate processes introduced in this paper allows us to find lower bounds for characteristic exponents. We also give applications to continuous cocycles.

LA - eng

KW - Lyapunov exponents; subadditive processes; invariant measures; cocycles; asymptotic properties; semidynamical systems; upper bounds; characteristic exponents; conjugate processes; lower bounds; continuous cocycles

UR - http://eudml.org/doc/262468

ER -

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