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<!--StartFragment--> Estimados Académicos y Alumnos, <br>
<br>
Se les recuerda que hoy jueves 28 de Abril a las 16:00 hrs, se
realizará el Seminario <i><b>SISTEMAS DINÁMICOS</b></i>, en la
Sala de Seminarios John Vob Neumann.<br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US"><br>
<br>
SEMINARIO <o:p></o:p></span></b> <br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US"><o:p> </o:p></span></b>
<br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US">SISTEMAS DINÁMICOS <o:p></o:p></span></b>
<br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US"><o:p> </o:p></span></b>
<br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US">TITULO<o:p></o:p></span></b>
<br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US"><o:p> </o:p></span></b>
<br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US">Piecewise contraction
maps and its applications<o:p></o:p></span></b> <br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US"><o:p> </o:p></span></b>
<br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US">EXPOSITOR<o:p></o:p></span></b>
<br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US"><o:p> </o:p></span></b>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US"><o:p></o:p></span></b><br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US">Arnaldo Nogueira <o:p></o:p></span></b>
<br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US">Institut de
Mathématiques de Marseille<o:p></o:p></span></b> <br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US">Francia<o:p></o:p></span></b>
<br>
<span style="font-family:Calibri" lang="EN-US"><o:p> </o:p></span> <br>
<span style="font-family:Calibri" lang="EN-US">Abstract:<o:p></o:p></span>
<br>
<span style="font-family:Calibri" lang="EN-US"><o:p> </o:p></span> <br>
<span style="font-family:Calibri" lang="EN-US">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 {</span><span
style="font-family:Cambria;mso-ascii-font-family:Calibri;mso-hansi-font-family:Calibri"
lang="EN-US">φ</span><span style="font-family:Calibri"
lang="EN-US">1, . . . , </span><span
style="font-family:Cambria;mso-ascii-font-family:Calibri;mso-hansi-font-family:Calibri"
lang="EN-US">φ</span><span style="font-family:Calibri"
lang="EN-US">n}, where each map </span><span
style="font-family:Cambria;mso-ascii-font-family:
Calibri;mso-hansi-font-family:Calibri" lang="EN-US">φ</span><span
style="font-family:Calibri" lang="EN-US">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) = </span><span
style="font-family:Cambria;mso-ascii-font-family:
Calibri;mso-hansi-font-family:Calibri" lang="EN-US">φ</span><span
style="font-family:Calibri" lang="EN-US">i(x) for every x </span><span
style="font-family:"Libian SC
Regular";mso-fareast-font-family:Cambria;
mso-bidi-font-family:"Libian SC Regular"" lang="EN-US">∈</span><span
style="font-family:Calibri" lang="EN-US"> Xi.<o:p></o:p></span> <br>
<span style="font-family:Calibri" lang="EN-US"><o:p> </o:p></span> <br>
<span style="font-family:Calibri" lang="EN-US">Jueves 28 de Abril<span
style="mso-spacerun:yes"> </span>del 2016 a las 16:00 hrs.
Sala de Seminarios John Von Neumann CMM, séptimo piso. <o:p></o:p></span>
<br>
<br>
Esperando contar con su presencia, les saluda,<br>
<br>
Ma. Inés Rivera <br>
<b style="mso-bidi-font-weight: normal"><span
style="font-family:Calibri" lang="EN-US"><o:p> </o:p></span></b><br>
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