Extreme value laws for fractal intensity functions in dynamical systems: Minkowski analysis

DOI10.1088/1751-8113/49/37/374001zbMath1380.37051arXiv1512.07383OpenAlexW3100331839MaRDI QIDQ2826693

Luca Perotti, Giorgio Mantica

Publication date: 18 October 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07383

zbMATH Keywords

iterated function systemMinkowski dimensionquestion-mark functionextreme value lawextremely rare event

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (6)

Extreme value laws for dynamical systems with countable extremal sets ⋮ Extreme value distributions of observation recurrences ⋮ Extreme value theory of evolving phenomena in complex dynamical systems: Firing cascades in a model of a neural network ⋮ Rare events for Cantor target sets ⋮ On the computation of the extremal index for time series ⋮ Rare events for product fractal sets ^*

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