Event Archive
Seminars given by Allan Sly and Michael Kunze
Thursday, September 28, 2017 at 12:00pm - 02:00pm
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MATHEMATICAL PHYSICS SEMINAR
RUTGERS UNIVERSITY
HILL 705
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Allan Sly - Princeton University
Date/Time/Location
Thursday, September 28; 12:00pm -1:00pm; Hill 705
Title
“The Slow Bond Conjecture”
Abstract
The slow bond model is a variant of the 1-dimensional Totally Asymmetric Exclusion Process, where the bond at the origin rings at a slower rate r<1. Janowsky and Lebowitz conjectured that for all values of r<1, the single slow bond produces a macroscopic change in the current of the system. Equivalently, this can be viewed as a pinning problem in last passage percolation. We answer this question in the affirmative.
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Michael Kunze - Mathematisches Institut der Universit¨at K¨oln
Date/Time/Location
Thursday, September 28; 1:00pm - 2:00pm; Hill 705
Title
"Growth rates of unbounded orbits in non-periodic twist mapsand a theorem by Neishtadt"
Abstract
We consider twist maps on the plane (like the ping-pong map) with non-periodic angles, where typically bounded and unbounded motions co-exist. For the latter case we prove a theorem which shows that in the analytic setting the growth rate is at most logarithmic, and furthermore an example of a system is given where all orbits grow at this rate. Moreover, we determine the optimal growth rate for a ping-pong with finite regularity. (This is joint work with R. Ortega.)
THERE WILL BE A BROWN BAG LUNCH FROM 1-2PM. PLEASE JOIN US