We gratefully acknowledge support from
the Simons Foundation and member institutions.
Full-text links:

Download:

Current browse context:

math.DS

Change to browse by:

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo

Mathematics > Dynamical Systems

Title: Large deviations for occupation and waiting times of infinite ergodic transformations

Authors: Toru Sera
Abstract: We establish large deviation estimates related to the Darling--Kac theorem and generalized arcsine laws for occupation and waiting times of ergodic transformations preserving an infinite measure, such as non-uniformly expanding interval maps with indifferent fixed points. For the proof, we imitate the study of generalized arcsine laws for occupation times of one-dimensional diffusion processes and adopt a method of double Laplace transform.
Comments: 32 pages
Subjects: Dynamical Systems (math.DS); Probability (math.PR)
MSC classes: Primary 37A40, Secondary 37A50, 60F10
Cite as: arXiv:2403.02658 [math.DS]
  (or arXiv:2403.02658v2 [math.DS] for this version)

Submission history

From: Toru Sera [view email]
[v1] Tue, 5 Mar 2024 05:06:46 GMT (26kb)
[v2] Sun, 10 Mar 2024 19:14:55 GMT (26kb)

Link back to: arXiv, form interface, contact.