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UID:7026@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190604T110000
DTEND;TZID=Europe/Paris:20190604T120000
DTSTAMP:20241120T202651Z
URL:https://www.i2m.univ-amu.fr/evenements/constant-slope-entropy-and-hors
 eshoes-for-a-map-on-a-tame-graph/
SUMMARY:Jozef Bobok ( Czech technical university in Prague (CTU)): Constant
  slope\, entropy and horseshoes for a map on a tame graph
DESCRIPTION:Jozef Bobok: We study continuous countably (strictly) monotone 
 maps defined on a tame graph\, i.e.\, a special Peano continuum for which 
 the set containing branchpoints and endpoints has countable closure. In ou
 r investigation we confine ourselves to the countable Markov case. We show
  a necessary and sufficient condition under which a locally eventually ont
 o\, countably Markov map {f} of a tame graph {G} is conjugate to a map {g}
  of constant slope. In particular\, we show that in the case of a Markov m
 ap {f} that corresponds to a recurrent transition matrix\, the condition i
 s satisfied for constant slope {e}{h}({f})\, where {h}({f}) is the topolog
 ical entropy of {f} . Moreover\, we show that in our class the topological
  entropy {h}({f}) is achievable through horseshoes of the map {f}.\nJoint 
 work with Adam Bartoš\, Pavel Pyrih\, Samuel Roth and Benjamin Vejnar.\nh
 ttps://www.researchgate.net/scientific-contributions/Jozef-Bobok-213429916
 5\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Joseph_Bobok.jpg
CATEGORIES:Séminaire,Ernest
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