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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Potential Well in Poincare Recurrence

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Autor(es):
Abadi, Miguel [1] ; Amorim, Vitor [2] ; Gallo, Sandro [3]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Butanta, SP - Brazil
[2] Inst Fed Educ Ciencia & Tecnol Sao Paulo IFSP, Campus Araraquara, BR-14804296 Araraquara, SP - Brazil
[3] Univ Fed Sao Carlos UFSCar, Dept Estat, Rua Bem Te Vis, BR-13565905 Sao Carlos - Brazil
Número total de Afiliações: 3
Tipo de documento: Artigo Científico
Fonte: Entropy; v. 23, n. 3 MAR 2021.
Citações Web of Science: 0
Resumo

From a physical/dynamical system perspective, the potential well represents the proportional mass of points that escape the neighbourhood of a given point. In the last 20 years, several works have shown the importance of this quantity to obtain precise approximations for several recurrence time distributions in mixing stochastic processes and dynamical systems. Besides providing a review of the different scaling factors used in the literature in recurrence times, the present work contributes two new results: (1) For phi-mixing and psi-mixing processes, we give a new exponential approximation for hitting and return times using the potential well as the scaling parameter. The error terms are explicit and sharp. (2) We analyse the uniform positivity of the potential well. Our results apply to processes on countable alphabets and do not assume a complete grammar. (AU)

Processo FAPESP: 19/23439-4 - Cadeias de longo alcance e passeios aleatórios em grafos
Beneficiário:Alexsandro Giacomo Grimbert Gallo
Modalidade de apoio: Auxílio à Pesquisa - Regular