A functional limit theorem for a dynamical system with an observable maximised on a Cantor set

• Type: Article in International Scientific Journal
• Date: 2025

Authors

Couto, R (Author) Other; Ana Cristina Moreira Freitas (Author) FEP; Jorge Milhazes Freitas (Author) FCUP; Todd, M (Author) Other

Journal

Title: Physica D: Nonlinear Phenomena

Vol. 483

ISSN: 0167-2789

Publisher: Elsevier

Indexing

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Other information

Authenticus ID: P-01A-B7D

DOI: 10.1016/j.physd.2025.134989

Abstract (EN): We consider heavy-tailed observables maximised on a dynamically defined Cantor set and prove convergence of the associated point processes as well as functional limit theorems. The Cantor structure, and its connection to the dynamics, causes clustering of large observations: this is captured in the 'decorations' on our point processes and functional limits, an application of the theory developed in a paper by the latter three authors.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10