ICTP Math Seminars (Arnaldo Nogueira, Roberto Peirone) - Tuesday 4 April 2017, starting at 14:00 hrs

[Math Group]

M A T H E M A T I C S   S E M I N A R S   2017


Tuesday 4, April, at 14.00 hrs. (Seminar 1)


Arnaldo Nogueira (Institut de Mathématiques de Marseille)


Title: Topological dynamics of piecewise λ-affine maps of the interval


Abstract available on this link: http://indico.ictp.it/event/8186/


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)

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Tuesday 4, April, at 15.00 hrs. (Seminar 2)


Roberto Peirone (Università di Roma Tor Vergata)


Title: Attractors of Iterated Function Systems with uncountably many 
maps (in collaboration with Giorgio Mantica)


Abstract:  study the topological properties of attractors of Iterated 
Function Systems (I.F.S.) on the real line, consisting of affine maps of 
homogeneous contraction ratio. These maps define what we call a second 
generation I.F.S.: they are uncountably many and the set of their fixed 
points is a Cantor set. We prove that when this latter either is the 
attractor of a finite, non-singular, hyperbolic, I.F.S. (of first 
generation), or it possesses a particular dissection property, the 
attractor of the second generation I.F.S. consists of finitely many 
closed intervals.

http://indico.ictp.it/event/8205/


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy

Tel. no.: +39-040-2240455
math at ictp.it
http://math.ictp.it