Mathematics and Physics Seminar Series

AnnouncingAnnouncing

A Seminar Presentation

on Thursday

November 30, 2017

at 3:00 pm in

North Hall 102

at The University of New Haven

An introduction to the Dynamics of Linear

Operators

— Dr. Leonardo Pinheiro

Assistant Professor

Mathematics & Computer Science Department

Rhode Island College

Abstract: A commonly held belief in the general scientiﬁc commu-

nity is that the chaotic behavior of a dynamical system is intrinsically

and almost exclusively connected to the non-linearity of the laws gov-

erning it. Interestingly enough, many natural linear dynamical sys-

tems can exhibit chaotic behavior. The study of the dynamics of con-

tinuous linear operators acting on topological vector spaces is rela-

tively young but well-established and active area of research in the

intersection of operator theory, complex analysis, ergodic theory and

even partial differential equations. In this talk we will offer an introduc-

tion to the area and its main results.

The talk will be accessible to undergraduate students with knowledge

of basic linear algebra and calculus.

Fur ther Information

For further information, please contact Dr. Yasanthi Kottegoda at the Department of Math-

ematics and Physics, Ofﬁce: Maxcy 315, 203-932-1206, YKottegoda@newhaven.edu.