Hitting and returning to non-rare events in mixing dynamical systems

J. R. Chazottes

doi:10.1088/0951-7715/16/3/313

Hitting and returning to non-rare events in mixing dynamical systems

J. R. Chazottes

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

Abstract

We investigate the conditions to be imposed on the rate of mixing of a dynamical system in order to ensure the finiteness of some or all moments of hitting and return times to a given subset of its phase space. This amounts to studying the tail of the distribution of hitting and return times to this subset. Examples illustrate our results.

Original language	English
Pages (from-to)	1017-1034
Number of pages	18
Journal	Nonlinearity
Volume	16
Issue number	3
DOIs	https://doi.org/10.1088/0951-7715/16/3/313
Publication status	Published - 1 May 2003

Access to Document

10.1088/0951-7715/16/3/313

Cite this

@article{a40f27d9e62e4974af2798b73e06a799,

title = "Hitting and returning to non-rare events in mixing dynamical systems",

abstract = "We investigate the conditions to be imposed on the rate of mixing of a dynamical system in order to ensure the finiteness of some or all moments of hitting and return times to a given subset of its phase space. This amounts to studying the tail of the distribution of hitting and return times to this subset. Examples illustrate our results.",

author = "Chazottes, \{J. R.\}",

year = "2003",

month = may,

day = "1",

doi = "10.1088/0951-7715/16/3/313",

language = "English",

volume = "16",

pages = "1017--1034",

journal = "Nonlinearity",

issn = "0951-7715",

number = "3",

}

TY - JOUR

T1 - Hitting and returning to non-rare events in mixing dynamical systems

AU - Chazottes, J. R.

PY - 2003/5/1

Y1 - 2003/5/1

N2 - We investigate the conditions to be imposed on the rate of mixing of a dynamical system in order to ensure the finiteness of some or all moments of hitting and return times to a given subset of its phase space. This amounts to studying the tail of the distribution of hitting and return times to this subset. Examples illustrate our results.

AB - We investigate the conditions to be imposed on the rate of mixing of a dynamical system in order to ensure the finiteness of some or all moments of hitting and return times to a given subset of its phase space. This amounts to studying the tail of the distribution of hitting and return times to this subset. Examples illustrate our results.

U2 - 10.1088/0951-7715/16/3/313

DO - 10.1088/0951-7715/16/3/313

M3 - Article

AN - SCOPUS:0242276997

SN - 0951-7715

VL - 16

SP - 1017

EP - 1034

JO - Nonlinearity

JF - Nonlinearity

IS - 3

ER -

Hitting and returning to non-rare events in mixing dynamical systems

Abstract

Access to Document

Fingerprint

Cite this