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UID:8124@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150325T000000
DTEND;TZID=Europe/Paris:20150325T000000
DTSTAMP:20241210T143315Z
URL:https://www.i2m.univ-amu.fr/evenements/combinatorial-and-dynamical-pro
 perties-of-adding-machine/
SUMMARY:Danilo Antonio Caprio (I2M\, Aix-Marseille Université): Combinator
 ial and dynamical properties of adding machine
DESCRIPTION:Danilo Antonio Caprio: In this work we define a stochastic addi
 ng machine associated to the Fibonacci base and to a probabilities sequenc
 e (Pi) i&gt\;1. We obtain a Markov chain whose states are the set of nonne
 gative integers. We study probabilistic properties of this chain\, such as
  transience and recurrence. We also prove that the spectrum associated to 
 this Markov chain is connected to the filled Julia sets for a class of end
 omorphisms in C 2. Furthermore\, we study topological and dynamical proper
 ties of a class of endomorphisms of C 2 (or R 2). Precisely\, the consider
 ed maps are fn(x\, y) = (x y + cn\, x)\, where cn 2 C (or cn E R)\, for al
 l n&gt\;0.\n\nKeywords: Adding machine\, Markov chains\, transition operat
 or\, spectrum\, Julia sets\, fibered Julia sets\n*Membres du jury :\n- Pro
 f. Dr. Mauduit Christian\, Aix-Marseille Université (Directeur de thèse)
 \n- Prof. Dr. Ali Messaoudi\, UNESP – São José do Rio Preto\, Orientad
 or (co-dir.)\n- Prof. Dr. Eduardo Garibaldi\, UNICAMP – Campinas\n- Prof
 . Dr. Sylvain Philippe Pierre Bonnot\, USP – São Paulo\n- Prof. Dr. Pau
 lo Ricardo da Silva\, UNESP – São José do Rio Preto\n- Prof. Dr. Márc
 io Ricardo Alves Gouveia\, UNESP – São José do Rio Preto\n\nhttp://rep
 ositorio.unesp.br/bitstream/handle/11449/127813/000844070_20170212.pdf\n\n
 Lien : UNESP
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Danilo_Caprio.jpg
CATEGORIES:Soutenance de thèse,GDAC
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