Treffer: Linear response for intermittent maps with critical point

Title:
Linear response for intermittent maps with critical point
Authors:
Leppänen, Juho
Source:
Nonlinearity. 37:045006
Publication Status:
Preprint
Publisher Information:
IOP Publishing, 2024.
Publication Year:
2024
Subject Terms:
Functional analytic techniques in dynamical systems, zeta functions, (Ruelle-Frobenius) transfer operators, etc, Dynamical aspects of measure-preserving transformations, transfer operator, critical point, Dynamical Systems (math.DS), 01 natural sciences, linear response, Dynamical systems involving maps of the interval, 0103 physical sciences, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics, intermittent map, 37A05, 37E05
Document Type:
Fachzeitschrift Article
File Description:
application/xml
ISSN:
1361-6544
0951-7715
DOI:
10.1088/1361-6544/ad2b15
DOI:
10.48550/arxiv.2306.02310
Access URL:
http://arxiv.org/abs/2306.02310
Rights:
IOP Copyright Policies
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....4b73bafa3e622079b09f9c63821df913
Database:
OpenAIRE

Weitere Informationen

We consider a two-parameter family of maps T α , β : [ 0 , 1 ] → [ 0 , 1 ] with a neutral fixed point and a non-flat critical point. Building on a cone technique due to Baladi and Todd, we show that for a class of Lq observables ϕ : [ 0 , 1 ] → R the bivariate map ( α , β ) ↦ ∫ 0 1 ϕ d μ α , β , where μ α , β denotes the invariant SRB measure, is differentiable in a certain parameter region, and establish a formula for its directional derivative.