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UID:8074@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150519T110000
DTEND;TZID=Europe/Paris:20150519T120000
DTSTAMP:20241120T210017Z
URL:https://www.i2m.univ-amu.fr/evenements/regularity-and-bifurcation-phen
 omena-in-simple-families-of-maps/
SUMMARY:Carlo Carminati (Università di Pisa): Regularity and bifurcation p
 henomena in simple families of maps
DESCRIPTION:Carlo Carminati: We consider a 1-parameter family (Q_γ)_{γ 
 ∈ ℝ} of piecewise linear maps\, and we study how the metric entropy of
  Q_γ depends upon the parameter γ. Despite the simple nature of the syst
 em\, the behaviour of the entropy is quite surprising: it is smooth outsid
 e a zero measure set (but not everywhere)\, and its graph displays a compl
 icated self-similar structure. We shall show that this phenomenon is due t
 o a special combinatorial feature\, called matching property\, which was f
 irst detected for the family of α-continued fractions.\n(This is a joint 
 work with H. Bruin\, S. Marmi and A. Profeti).\nhttps://arxiv.org/abs/1707
 .07488\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Carlo_Carminati.jpg
CATEGORIES:Séminaire,Ernest
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DTSTART:20150329T030000
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