Mathematical Physics & Dynamical Systems Seminar

Speaker: Sara Lapan

Title: Existence of a domain of attraction along a characteristic direction of higher degree. 

Abstract: In this talk, we will consider holomorphic self-maps of C^2 that fix the origin and are tangent to the identity (e.g., f(0) = 0 and df(0) = Id). We are interested in how points near the origin move under iteration. Do they converge to the origin and, if so, do they converge along a direction? When this happens, such a direction must be a characteristic direction. We will discuss what is known in C^2 , focusing on degenerate characteristic directions and the role that higher degree terms can play in the existence of a domain of attraction along those directions.

Thursday, November 1, 2018 at 3:40pm to 5:00pm

Skye Hall (Surge Hall), 268

Event Type

Seminars

Audience

Faculty & Staff, Graduate Students, Undergraduate Students, General Public

Website

http://mathdept.ucr.edu/research/rese...

Department
Mathematics
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