Random interval homeomorphisms
Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Misiurewicz, Michal (IUPUI(Indianapolis). Department of Mathematical Sciences)

Date:	2014
Abstract:	We investigate homeomorphisms of a compact interval, applied randomly. We consider this system as a skew product with the two-sided Bernoulli shift in the base. If on the open interval there is a metric in which almost all maps are contractions, then (with mild additional assumptions) there exists a global pullback attractor, which is a graph of a function from the base to the fiber. It is also a forward attractor. However, the value of this function depends only on the past, so when we take the one-sided shift in the base, it disappears. We illustrate those phenomena on an example, where there are two piecewise linear homeomorphisms, one moving points to the right and the other one to the left.
Grants:	Ministerio de Educación y Ciencia MTM2008-01486 Ministerio de Educación y Ciencia MTM2011-26995-C02-01
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Attractors ; Random system ; Skew product
Published in:	Publicacions matemàtiques, Vol. Extra (2014) , p. 15-36, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/287192
DOI: 10.5565/PUBLMAT_Extra14_01

Postprint 17 p, 398.1 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Published articles > Publicacions matemàtiques
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