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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2025

Autores

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

Revista

Título: Physica D: Nonlinear Phenomena

Vol. 483

ISSN: 0167-2789

Editora: Elsevier

Indexação

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Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 10