## Random Media and Random Structures

#### The subject of random media has had a rapid development during at least the last thirty years. The original motivation for models in random media came from fields such as condensed matter physics, physical chemistry, geology and others. Today it can be said that random media has pervaded almost all fields of probability theory and random models of different kind.

#### The present congress is aimed at presenting some of the latest developments in the field of Random Media and its role in the emergence of random structures.

## Speakers

#### Short Courses

#### Conferences

#### Participants

## Topics

## Schedule

#### Week January 6 - 10, 2020. Location: IMCA conference hall.

### Monday 6

**9:00** Valesin

On the threshold of spread-out contact process percolation

**10:00** Ferrari

Soliton decomposition of the Box-Ball-System

**11:00** Coffee Break

**11:15** Saglietti

Weak convergence for the scaled cover time of the rooted binary tree

**14:00** Remenik

KPZ and KP

**15:00** Coffee Break

**15:15** Kious

Random walk on the simple symmetric exclusion process

**16:15** Ramirez

TBA

### Tuesday 7

**9:00** Lawler

Loop measures and soups, and loop-erased random walk

**10:00** Ferrari

Soliton decomposition of the Box-Ball-System

**11:00** Coffee Break

**11:15** Khanin

Global Solutions to the Random Hamilton-Jacobi Equation

**14:00** Mukherjee

KPZ equation in d ≥ 3 and Gaussian multiplicative chaos in the Wiener space

**15:00** Drewitz

Random walk among a Poisson system of moving traps

**16:00** Coffee Break

**16:15** Vares

Critical scaling for an anisotropic percolation system

### Wednesday 8

**9:00** Lawler

Loop measures and soups, and loop-erased random walk

**10:00** Ferrari

Soliton decomposition of the Box-Ball-System

**11:00** Coffee Break

**11:15** Khanin

Global Solutions to the Random Hamilton-Jacobi Equation

**14:00** -

FREE

**15:00** -

FREE

**16:00** FREE

**16:15** -

FREE

### Thursday 9

**9:00** Lawler

Loop measures and soups, and loop-erased random walk

**10:00** Ferrari

Soliton decomposition of the Box-Ball-System

**11:00** Coffee Break

**11:15** Khanin

Global Solutions to the Random Hamilton-Jacobi Equation

**14:00** Newman

A Gaussian process related to the mass spectrum of the near-critical Ising model

**15:00** Bovier

From Poisson to the cascade in branching Brownian motion — a closer look

**16:00** Coffee Break

**16:15** Cabezas

The totally asymmetric activated random walk model at criticality

### Friday 10

**9:00** Lawler

Loop measures and soups, and loop-erased random walk

**10:00** Lacoin

The Disordered Lattice Free Field Pinning model Approaching Criticality

**11:00** Coffee Break

**11:15** Khanin

Global Solutions to the Random Hamilton-Jacobi Equation

**14:00** Armendariz

Gaussian random permutations and the boson point process

**15:00** Deuschel

Quenched tail estimate for the random walk in random scenery and in random layered conductance

**16:00** Coffee Break

**16:15** Rolla

One-Dimensional Stochastic Sandpiles

## IMCA

#### Instituto de Matemática y Ciencias Afines (IMCA) is located in Lima, Perú. The main areas of research at IMCA are Optimization, Dynamical Systems, Algebraic Geometry, Analytical Number Theory and Probability. We continually receive postdoc and visiting researchers, and have a stable number of Master and a Ph.D. students.

**Probability Group:** In probability theory we maintain active collaboration with IMPA in Brasil and PUC in Chile. Subjects of current interest are Metastability of Markov Processes, Random Walk in Random Environment and Large Deviations in Particle Systems.

## REGISTRATION

Register here.

Students can request financial support to participate by writing to:

rmrsimca@gmail.com

Lima, Perú

+51 1 3491892

## ORGANIZATION

#### Organizing and Scientific Committee

#### Johel Beltrán

PUCP

#### Gonzalo Panizo

IMCA-UNI

#### Alejandro Ramirez

PUC Chile

#### Local Organizing Committee

#### José Cerda

UNI

#### Jonathan Farfán

PUCP

#### Roger Metzger

IMCA-UNI

#### Gonzalo Panizo

IMCA-UNI