Absolutely continuous invariant measures for random maps of the interval

Speaker(s)

Adam Śpiewak

Affiliation

Uniwersytet Warszawski

Date

June 9, 2017, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

---

During the talk I will discuss results on the existence of the absolutely continuous invariant measures for random maps of the interval, together with the properties of the corresponding Frobenius-Perron operator. I will present the proof of the theorem by S. Pelikan, which extends Lasota-Yorke theorem to the setting of random piecewise C^2 and monotone transformations of the interval.

---