Characteristic functions as bounded multipliers on anisotropic spaces

Autor: Viviane Baladi

Publikováno v: Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society, American Mathematical Society, 2018, 146, pp.4405

We show that characteristic functions of domains with boundaries transversal to stable cones are bounded multipliers on a recently introduced scale $U^{t,s}_p$ of anisotropic Banach spaces, under the conditions -1+1/p
Comment: Amended after comm

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67c9a60f079471d52700500ff26273bf
https://doi.org/10.1090/proc/14107

On the fractional susceptibility function of piecewise expanding maps

Autor: Magnus Aspenberg, Juho Leppänen, Tomas Persson, Viviane Baladi

Publikováno v: Discrete and Continuous Dynamical Systems-Series A
Discrete and Continuous Dynamical Systems-Series A, American Institute of Mathematical Sciences, 2021
Discrete and Continuous Dynamical Systems-Series A, American Institute of Mathematical Sciences, 2021, ⟨10.3934/dcds.2021133⟩

We associate to a perturbation $(f_t)$ of a (stably mixing) piecewise expanding unimodal map $f_0$ a two-variable fractional susceptibility function $\Psi_\phi(\eta, z)$, depending also on a bounded observable $\phi$. For fixed $\eta \in (0,1)$, we s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e15dd2cfe1981c166fa648cacb0ec8a4
http://arxiv.org/abs/1910.00369

Corridengum: Linear and fractional response for the SRB measure of smooth hyperbolic attractors and discontinuous observables (2017Nonlinearity301204)

Autor: Valerio Lucarini, Viviane Baladi, Tobias Kuna

Publikováno v: Nonlinearity. 30:C4-C6

The first main result of Baladi et al (2017 Nonlinearity 30 1204–20) is modified as follows: For any θ in the Sobolev space , with and , the map is α-Holder continuous for all where is the strongest volume contraction and is the weakest contracti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4d84314013180fef80773b7aba5851cd
https://doi.org/10.1088/1361-6544/aa7768

Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

Autor: Viviane Baladi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::76a593750733275c6177464f7a02a8a4
https://doi.org/10.1007/978-3-319-77661-3

Smooth expanding maps: The spectrum of the transfer operator

Autor: Viviane Baladi

Publikováno v: Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps ISBN: 9783319776606

This chapter presents a variant of Ruelle’s bound on the essential spectral radius of transfer operators associated with differentiable expanding dynamics and weights, replacing the Holder spaces by Sobolev spaces. The chapter ends with the Gouezel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a00eb89fd225670b7d86e6b35138f31b
https://doi.org/10.1007/978-3-319-77661-3_2