Our goal is to explain how certain basic representation
theoretic ideas and constructions encapsulated in the form of
Macdonald processes lead to nontrivial asymptotic results in
various `integrable'; probabilistic problems. Examples include
dimer...
Our goal is to explain how certain basic representation
theoretic ideas and constructions encapsulated in the form of
Macdonald processes lead to nontrivial asymptotic results in
various `integrable'; probabilistic problems. Examples include
dimer...
I will start with discussing the relation between a class of
disorder-generated multifractals and logarithmically-correlated
random fields and processes. An important example of the latter is
provided by the so-called "\(1/f\) noise" which, in...
Previous studies of kinetic transport in the Lorentz gas have
been limited to cases where the scatterers are distributed at
random (e.g. at the points of a spatial Poisson process) or at the
vertices of a Euclidean lattice. In this talk I will...
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...
