[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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