[math-ias] Mathematics Seminars -- Week of September 16, 2013

[Anthony V. Pulido]

(Please excuse the duplicate email. Several people on the email lists
did not receive notices.)

INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540

Mathematics Seminars
Week of September 16, 2013




Thursday, September 19

Working Group on Algebraic Number Theory
Speaker:     To Be Announced
Time/Room:     3:00pm - 4:00pm/Fine 322, Princeton University



Friday, September 20

Non-equilibrium and Random Matrices
Topic:         Universal current fluctuations in non equilibrium systems
Speaker:     Bernard Derrida, École Normale Supérieure
Time/Room:     4:00pm - 5:00pm/S-101
Abstract:    See below



1    Universal current fluctuations in non equilibrium systems
    Bernard Derrida

Fluctuations of the current of one dimensional non equilibrium
diffusive systems are well understood. After a short review of the one
dimensional results, the talk will try to show that the statistics of
these fluctuations are exactly the same in higher dimension, for
arbitrary geometries. This result can be established by a mapping
between the variational problem in finite dimension and in one
dimension.

In the particular case of the symmetric exclusion process, the
statistical properties of the current are the same as those of
disordered quantum wires in the metallic regime, where the
distribution of the transmission coefficients of the different
channels have been predicted from the theory of random matrices.



IAS Math Seminars Home Page:
http://www.math.ias.edu/seminars