Renormalization in Dynamics - Pisa 2016

Matching for certain piecewise linear maps

speaker: Charlene Kalle (Leiden University)

abstract: For piecewise linear, expanding interval maps the absolutely continuous invariant density is an infinite sum of indicator functions. There are situations in which this density becomes piecewise smooth, for example when the map has a Markov partition. Matching is another condition on the map that guarantees that this density is piecewise smooth and it holds much more frequently. In this talk I will consider certain piecewise linear, expanding maps that depend on one parameter and show that matching holds prevalently.

timetable:
Tue 5 Apr, 11:30 - 12:15, Aula Dini
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