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

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

Intended 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, which provides an opportunity to continue the discussions.

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?

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

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