Invariant measures for real analytic expanding maps | Zendy

Bandtlow Oscar F. | Zendy; Jenkinson Oliver | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Invariant measures for real analytic expanding maps

Author(s) -

Bandtlow Oscar F.,

Jenkinson Oliver

Publication year - 2007

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/jdm001

Subject(s) - compact space , mathematics , holomorphic function , bounded function , lebesgue measure , probability measure , invariant (physics) , pure mathematics , analytic function , lebesgue integration , invariant measure , formalism (music) , countable set , measure (data warehouse) , discrete mathematics , mathematical analysis , computer science , data mining , art , musical , visual arts , ergodic theory , mathematical physics

Let X be a compact connected subset of ℝ d with non‐empty interior, and T : X → X a real analytic full branch expanding map with countably many branches. Elements of a thermodynamic formalism for such systems are developed, including criteria for compactness of transfer operators acting on spaces of bounded holomorphic functions. In particular, a new sufficient condition for the existence of a T ‐invariant probability measure equivalent to Lebesgue measure is obtained.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research