Advanced search

Browse by subject

Browse by provider

Browse by language

Content Details
Normal View
CIP View

Spectral Gap and quantitative statistica...

Galatolo, Stefano...

Free

Share this content

Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps by Galatolo, Stefano ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	29-07-2015
Summary	We consider transformations preserving a contracting foliation, such that the associated quotient map satisfies a Lasota-Yorke inequality. We prove that the associated transfer operator, acting on suitable normed spaces, has a spectral gap (on which we have quantitative estimation). As an application we consider Lorenz-like two dimensional maps (piecewise hyperbolic with unbounded contraction and expansion rate): we prove that those systems have a spectral gap and we show a quantitative estimate for their statistical stability. Under deterministic perturbations of the system of size δ, the physical measure varies continuously, with a modulus of continuity O(δlogδ), which is asymptotically optimal for this kind of piecewise smooth maps.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1507.08191

Citation

Review the full bibliography data and make any necessary corrections before using. Always consult your library resources for the exact formatting and punctuation guidelines.

AMA 11th EditionReferences

Galatolo, Stefano. Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps. N.A. July 29, 2015. Accessed August 17, 2025. https://online.provdatabase.com/cite/18844

APA 7th EditionReferences

Galatolo, Stefano. (2015). Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps. N.A. https://online.provdatabase.com/cite/18844

Chicago 17th EditionReferences

Galatolo, Stefano. Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps. N.A. 2015. https://online.provdatabase.com/cite/18844

HarvardReferences

Galatolo, Stefano. (2015). Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18844. (Accessed 17 August 2025).

Harvard AustraliaReferences

Galatolo, Stefano, 2015, Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps, N.A, viewed 17 August 2025, <https://online.provdatabase.com/cite/18844>

MLA 9th EditionWorks Cited

Galatolo, Stefano. Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18844.

Share this eBook