[Seminario] RECORDATORIO INVITACION SEMINARIO SISTEMAS DINÁMICOS JUEVES 28 DE ABRIL A LAS 16:00 HRS.

Maria Ines mrivera en dim.uchile.cl
Jue Abr 28 08:58:21 CLT 2016




Estimados Académicos y Alumnos,

Se les recuerda que hoy   jueves 28 de Abril a las 16:00 hrs,  se 
realizará el Seminario /*SISTEMAS DINÁMICOS*/,  en la Sala de Seminarios 
John Vob Neumann.
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SEMINARIO *
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*SISTEMAS DINÁMICOS *
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*TITULO*
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*Piecewise contraction maps and its applications*
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*EXPOSITOR*
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*Arnaldo Nogueira *
*Institut de Mathématiques de Marseille*
*Francia*

Abstract:

Our talk concerns dynamical systems which are defined by piecewise 
contraction maps (PC maps). There is a large literature which deals with 
the dynamical behavior of PC maps defined on convex subsets of Euclidean 
spaces in different contexts. Our aim is to show that, under certain 
conditions, a typical PC map, in the measure theoretical sense of the 
parameter space, is asymptotically periodic which means that the map has 
finitely many periodic orbits and every orbit converges to a periodic 
orbit. Our setup is the following: We fix an Iterated Function System 
{?1, . . . , ?n}, where each map ?i : X ? X is a contraction. Next we 
use a suitable parameter space and associate to each parameter a 
partition X1, . . . , Xn of X. In this way, each parameter defines a 
piecewise contraction map f : X ? X given by f(x) = ?i(x) for every x ?Xi.

Jueves 28 de Abrildel 2016 a las 16:00 hrs. Sala de Seminarios John Von 
Neumann CMM, séptimo piso.

Esperando contar con su presencia, les saluda,

Ma. Inés Rivera
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