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Student Dynamics Seminar and Research Interaction Team

University of Maryland - Student Dynamics Seminar

and Research Interaction Team

Meeting Time: 2 – 4 PM Tuesdays

Room: 1308 Math Building

Organizers: Paul Wright and Nick Long

Faculty Sponsor: Dr. Dmitry Dolgopyat

This semester we are doing a split program. One hour will be devoted to students giving general research talks on topics of their choice.

The second hour will be devoted to an RIT on Outer Billiards and will be run by Dmitry Dolgopyat and Giovanni Forni.

Spring 2008

Schedule of Student Talks:

Date	Speaker	Title
January 29th	David Burguet (Ecole Polytechnique)	"Properties of continuity of the entropy” (This is a first of two talks by Dr. Burguet. The second will be given in the first hour of the Dynamical Systems Seminar on Thursday at 2 PM)
February 5th	Joe Galante	Results Concerning the Stability of the Lagrange Points L4,L5
February12th	Giovanni Forni and Dmitry Dolgopyat	Introduction to Outer Billiards (2 hours)
February 19th	Nick Long	Symbolic Dynamics and Finite Group Actions
February 26th	Kevin McGoff & Dmitry Dolgopyat	Symbolic Extensions and Entropy Structure Outer Billiards
March 4th	Giovanni Forni and Dmitry Dolgopyat	Outer Billiards (2 hours)
March 11th	Cecilia Gonzalez Tokman & Giovanni Forni	An example of a semiconjugacy between an interval exchange transformation and a torus translation. Outer Billiards RIT
March 18th	No Meeting	Spring Break
March 25th	Giovanni Forni	Hexagrid Theorem
April 1st	Fredrico Rodriguez-Hertz	Fathi's Embeddings of Pseudo-Anosov Maps into Automorphisms on Tori
April 8^th Special Time: 3-5PM	Elon Lindenstrauss (Princeton)	Stationary measures and equidistribution on the torus
April 15th	Joe Galante & David Aulicino	Pentagonal Outer Billiards Interval exchange transformations and some special flows are not mixing
April 22nd	Nicholas Long	PhD Final Defense: Involutions of Shifts of Finite Type: Fixed Point Shifts, Orbit Quotients, and the Dimension Representation
April 29th	Rodrigo Trevino Yu-Ru Huang	Algorithms for Rigorous Entropy Bounds and Symbolic Dynamics Keane condition and irrationality for interval exchange maps
May 6th	Jack Panraksa	Ergodicity of Horocycle flow
May 13th		End of Semester Meeting

Schedule: Fall 2007

Date	Speaker	Title
September 18^th	Cecilia Tokeman-Gonzalez	Lyanpunov exponents of the Schrodinger equation.
September 24^th at 3pm in Geometry/Topology Seminar	Dr. Giovanni Forni	Rational polygonal billiards and Teichmüller geodesics I
October 2^nd	Dr. Jim Yorke	Research Topics
October 9^th	Yu-Ru Huang	Invariant Cantor sets of maps on S^1
October 16^th	Rodrigo Trevino	Instabilities of Hamiltonians with many degrees of freedom and Arnold Diffusion
October 23^rd	No Meeting
October 30^th	Jack Panraksa	The Periodic orbits on strictly convex billiard tables
November 6^th	Paul Wright	Rigorous Results And Open Problems for the Adiabatic Piston Problem
November 13^th	Paul Wright	Rigorous Results And Open Problems for the Adiabatic Piston Problem Part II
November 20^th	No Meeting
November 27^th	Dr. Dmitry Dolgopyat	Dynamics of interacting billiard particles: We consider a system of two particles one light and one heavy moiving in a contained with concave boundaries. Assuming that the heavy particle is initially at read we show that its motion properly rescaled converges to (time inhomogeneous) Brownian Motion. We use this simple system to illustrate a general approach to deriving macroscopic equations from microscopic laws.
December 4^th	Jacopo De Simoi	Stability and Unstability Results in a Model for Fermi Acceleration
December 11^th	End of Semester Meeting

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