Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Total variation and chaos
Speaker: Kuntal Banerjee, Presidency University, Kolkata
Date: November 3, 2022
Time: 14:00:00 Hours
Venue: AG-77
Abstract: If we have a chaotic self map $f$ on a metric space $X$ then we may ask how the total variations of the iterates of the chaotic map on the image of a curve in $X$ change. This has been studied for chaotic interval maps and it is known that the total variation of the $n$-th iterate of the map on the image of any curve on the interval grows to infinity with $n$. We study this change for the real line and finite graphs which include the circle and finite trees. This is a joint work with Anubrato Bhattacharyya and Subhamoy Mondal.
Title of Talk: Total variation and chaos
Speaker: Kuntal Banerjee, Presidency University, Kolkata
Date: November 3, 2022
Time: 14:00:00 Hours
Venue: AG-77
Abstract: If we have a chaotic self map $f$ on a metric space $X$ then we may ask how the total variations of the iterates of the chaotic map on the image of a curve in $X$ change. This has been studied for chaotic interval maps and it is known that the total variation of the $n$-th iterate of the map on the image of any curve on the interval grows to infinity with $n$. We study this change for the real line and finite graphs which include the circle and finite trees. This is a joint work with Anubrato Bhattacharyya and Subhamoy Mondal.