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Home » COMD Junior Seminar Series: Chaotic Behaviour in Real Quadratic Polynomials

Seminar

COMD Junior Seminar Series: Chaotic Behaviour in Real Quadratic Polynomials April 04, 2022 (01:00 PM PDT - 02:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Matteo Tabaro (Imperial College, London)
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Abstract/Media

To participate in this seminar, please registerĀ HERE.

In the logistic family of real quadratic polynomials there is an open and dense subset of maps which exhibit hyperbolic behaviour. For these maps Lebesgue almost every initial point tends to an attracting periodic cycle. The remaining maps, which form a sizeable set in a measure theoretical sense, showcase a seemingly chaotic dynamic. In this talk we will explore the concept of physical and absolutely continuous invariant probability measures (ACIP), and in particular how they can help us establish order in such chaos. If time allows, we will discuss various ways to construct and prove the existence of these measures, and the limitations of such techniques.

This seminar is for postdocs and PhD students, and we kindly ask faculty not to attend.

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