Organizer- Joel L. Lebowitz
email: lebowitz@math.rutgers.edu
- Time/place- 11/7/2002
NO SEMINAR
- Speaker- Y. Peres, University of California, Berkeley
- Title- Glauber Dynamics for the Ising Model
- Time/place-11:30am,11/14/2002 in Hill 705
- Abstract- Relating spatial and temporal mixing for Gibbs measures
is a tricky business. I'll show that on the Bethe lattice, a uniform
spectral gap can exist in temperatures where the Gibbs measure is not
unique, and relaxation times are polynomial in the volume at all
temperatures. In hyperbolic lattices, long range correlations can
coexist with polynomial relaxation time. I will also describe some new and
conjectured monotonicity properties of the dynamics (e.g., is the spectral
gap monotone in the temperature? ...this is open even in the square
lattice.) Talk based on joint works with C. Kenyon, E. Mossel, P. Winkler.
*****
Please note there will be a brown bag lunch between
the 2 seminars this morning. Bring your sandwich.
Coffee and homemade cookies will be available.
*****
Speaker: R. Gundy, Rutgers University
Title: Transfer operators and wavelets
Time/place-1:30pm, 11/14/2002 in Hill 705
Abstract: In the 1960s, David Ruelle found an infinite dimensional
generalization of the Perron-Frobenius theorem on matrices with positive
entries. The "transfer operators" that he studied have had wide
application. One context where these appear is wavelet theory(as he
mentioned here, recently). In this talk, I will explain the connection
between a certain transfer operator and the wavelet system it generates.
Using ideas from the study of Brownian motion on planar domains, rather
than those from traditional harmonic analysis, I was able to find a
complete characterization of those operators that generate L^2-complete
wavelet systems. I will try to give the broad outlines of this work.
Speaker: Nino Zanghi, University of Genova, Italy
Title: A survey of Bohmian Mechanics
Time/place-11:30am, 11/21/2002 in Hill 705
Abstract: TBA
*****
Please note there will be a brown bag lunch between
the 2 seminars this morning. Bring your sandwich.
Coffee and homemade cookies will be available.
*****