MIPS Lecture No. 5 – Entropy at Infinity in Chaotic Dynamics

The Research Center's conferences aim to raise awareness within the community about new topics and technological innovations. 

Designed for a broad audience—students and researchers from all disciplines—these initiatives draw on the multidisciplinary expertise of the MIPS Cluster, partner clusters and organizations, as well as national and international teams.

They are held on the first Friday of every month at 11:30 a.m. and are followed by a buffet, providing an opportunity to continue the discussion.

ENTROPY AT INFINITY IN CHAOTIC DYNAMICS

Barbara Schapira, Professor, IMAG

What is a dynamic system from the perspective of fundamental mathematics? How can we measure, understand, or even control the chaos that results from it?

In this lecture, we will delve into the heart of dynamical systems—those mathematical constructs that model how a system evolves over time. We will see how entropy allows us to quantify the chaotic nature of these systems. Then, we will go even further by exploring the concept of entropy at infinity, a mathematical tool that allows us to control the chaos arising from trajectories escaping to infinity.

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