prof. Bertola's seminar at SISSA

[Emanuele Tuillier Illingworth]

  ****************************************************************
MATHEMATICAL PHYSICS SECTOR SEMINARS
****************************************************************

Speaker: Marco Bertola, (University of Montreal) Joint work with M. Cafasso.
Title: Multi-level determinantal random point processes, Fredholm 
determinants and Riemann--Hilbert problems

Abstract:
Determinantal random point processes are multi-particle statistical 
models describing self-avoiding paths. The main example is self-avoiding 
Brownian walkers.
Given a  subset B in the configuration space, the generating function of 
the number of particles in B is expressible in terms of a Fredholm 
determinant of a kernel (integral operator). The study of these 
determinants is related to Riemann--Hilbert problems. This connection 
allows typically to relate the determinant to some transcendental 
function of Painlev\'e type.

I will make a short survey using as a guide example the Airy process 
introduced by Prahofer and Spohn in the study of polynuclear growth.


Thursday 30 June at 12.00 in lecture room 136 (SISSA Santorio Building, 
I floor)



-- 
Dr. Emanuele Tuillier Illingworth
Secretary of Mathematical Physics and Elementary Particle sectors
Building A, fourth floor, room 402
phone (+39) 040 37 87 598
fax (+39) 040 37 87 466
SISSA
Via Bonomea 265
34136
Trieste, ITALY
emanuele.tuillier at sissa.it