Infinite mixing for one-dimensional maps with an indifferent fixed point

C Bonanno, P Giulietti, M Lenci - Nonlinearity, 2018 - iopscience.iop.org
We study the properties of'infinite-volume mixing'for two classes of intermittent maps:
expanding maps with an indifferent fixed point at 0 preserving an infinite, absolutely …

Doubly Intermittent Maps with Critical Points, Unbounded Derivatives and Regularly Varying Tail

M Mubarak, TI Schindler - arXiv preprint arXiv:2211.15648, 2022 - arxiv.org
We consider a class of doubly intermittent maps with critical points, unbounded derivative
and regularly varying tails. Under some mild assumptions we prove the existence of a …

Pomeau-Manneville maps are global-local mixing

C Bonanno, M Lenci - arXiv preprint arXiv:1911.02913, 2019 - arxiv.org
We prove that a large class of expanding maps of the unit interval with a $ C^ 2$-regular
indifferent point in 0 and full increasing branches are global-local mixing. This class includes …

Uniformly global observables for 1D maps with an indifferent fixed point

G Canestrari, M Lenci - arXiv preprint arXiv:2405.05948, 2024 - arxiv.org
We study the property of global-local mixing for full-branched expanding maps of either the
half-line or the interval, with one indifferent fixed point. Global-local mixing expresses the …

Global-Local Mixing

CC Santos Filho - 2023 - repositorio.ufal.br
Esta dissertaçao visa apresentar conceitos, exemplos e técnicas consolidados e recentes
em Teori Ergódica. O principal novo conceito é o de Mistura Local-Global, que seguiremos …

[PDF][PDF] Mestrado em Matemática

GL Mixing, CC Dos Santos Filho - 2023 - im.ufal.br
Esta dissertaçao visa apresentar conceitos, exemplos e técnicas consolidados e recentes
em Teori Ergódica. O principal novo conceito é o de Mistura Local-Global, que seguiremos …

Una nota sobre transitividad de transformaciones crecientes a trozos sobre R

LBR Leal, A Tineo, A Lugo - Selecciones Matemáticas, 2022 - revistas.unitru.edu.pe
In this work a sufficient condition is shown to obtain transitivity in families of piecewise
increassing maps with an inevitable discontinuity in x= 0. Specifically, it is shown that the …

Probabilistic aspects of dynamical systems

W Bahsoun, S Galatolo… - Chaos Solitons and …, 2020 - ui.adsabs.harvard.edu
It is well known that chaotic dynamical systems are sensitive dependent on initial conditions.
Thus, it is not possible to analyze their long term pointwise behavior. However, statistical …