A complex ruelle-perron-frobenius theorem for infinite markov shifts with applications to renewal theory

Marc Kesseböhmer; Sabrina Kombrink

doi:10.3934/dcdss.2017016

A complex ruelle-perron-frobenius theorem for infinite markov shifts with applications to renewal theory

Marc Kesseböhmer^*, Sabrina Kombrink

^*Corresponding author for this work

Institute of Mathematics

University of Bremen

1 Citation (Scopus)

Abstract

We prove a complex Ruelle-Perron-Frobenius theorem for Markov shifts over an infinite alphabet, whence extending results by M. Pollicott from the finite to the infinite alphabet setting. As an application we obtain an extension of renewal theory in symbolic dynamics, as developed by S. P. Lalley and in the sequel generalised by the second author, now covering the infinite alphabet case.

Original language	English
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	10
Issue number	2
Pages (from-to)	335-352
Number of pages	18
ISSN	1937-1632
DOIs	https://doi.org/10.3934/dcdss.2017016
Publication status	Published - 01.04.2017

Access to Document

10.3934/dcdss.2017016

Cite this

@article{6efb183e7fd348f3ac8ec34f3ab7c470,

title = "A complex ruelle-perron-frobenius theorem for infinite markov shifts with applications to renewal theory",

abstract = "We prove a complex Ruelle-Perron-Frobenius theorem for Markov shifts over an infinite alphabet, whence extending results by M. Pollicott from the finite to the infinite alphabet setting. As an application we obtain an extension of renewal theory in symbolic dynamics, as developed by S. P. Lalley and in the sequel generalised by the second author, now covering the infinite alphabet case.",

author = "Marc Kesseb{\"o}hmer and Sabrina Kombrink",

year = "2017",

month = apr,

day = "1",

doi = "10.3934/dcdss.2017016",

language = "English",

volume = "10",

pages = "335--352",

journal = "Discrete and Continuous Dynamical Systems - Series S",

issn = "1937-1632",

number = "2",

}

TY - JOUR

T1 - A complex ruelle-perron-frobenius theorem for infinite markov shifts with applications to renewal theory

AU - Kesseböhmer, Marc

AU - Kombrink, Sabrina

PY - 2017/4/1

Y1 - 2017/4/1

N2 - We prove a complex Ruelle-Perron-Frobenius theorem for Markov shifts over an infinite alphabet, whence extending results by M. Pollicott from the finite to the infinite alphabet setting. As an application we obtain an extension of renewal theory in symbolic dynamics, as developed by S. P. Lalley and in the sequel generalised by the second author, now covering the infinite alphabet case.

AB - We prove a complex Ruelle-Perron-Frobenius theorem for Markov shifts over an infinite alphabet, whence extending results by M. Pollicott from the finite to the infinite alphabet setting. As an application we obtain an extension of renewal theory in symbolic dynamics, as developed by S. P. Lalley and in the sequel generalised by the second author, now covering the infinite alphabet case.

UR - http://www.scopus.com/inward/record.url?scp=85010041713&partnerID=8YFLogxK

U2 - 10.3934/dcdss.2017016

DO - 10.3934/dcdss.2017016

M3 - Journal articles

AN - SCOPUS:85010041713

SN - 1937-1632

VL - 10

SP - 335

EP - 352

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 2

ER -

A complex ruelle-perron-frobenius theorem for infinite markov shifts with applications to renewal theory

Abstract

Access to Document

Other files and links

Fingerprint

Cite this