- Series
- Stochastics Seminar
- Time
- Thursday, March 1, 2012 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skyles 006
- Speaker
- Gregorio Moreno Flores – University of Wisconsin, department of Mathematics
- Organizer
- Karim Lounici
The usual approach to KPZ is to study the scaling limit of particle
systems. In this work, we show that the partition function of directed
polymers (with a suitable boundary condition) converges, in a certain
regime, to the Cole-Hopf solution of the KPZ equation in equilibrium.
Coupled with some bounds on the fluctuations of directed polymers,
this approach allows us to recover the cube root fluctuation bounds for
KPZ in equilibrium. We also discuss some partial results for more
general initial conditions.