# First passage percolation and related models

August 3 to August 7, 2015

at the

American Institute of Mathematics, San Jose, California

organized by

Antonio Auffinger, Michael Damron, and Jack T. Hanson

## Original Announcement

This workshop will be devoted to the study of first passage percolation on $\mathbb Z^d$ and related models. The main goal is to go beyond the scope of exact solutions methods and develop and share techniques that may further the recent advances on the field.

The workshop will bring together researchers working on these topics to solidify the current state of the art.

The main topics for the workshop are

• Properties of the limit shape of first passage percolation and associated stochastic processes and relation to Hamilton-Jacobi equations.
• Growth models, competition interface, max-flow, min-cut problems and polymer models.
• Concentration, deviations and fluctuations of the growing interface around its mean and limit shape, including scaling exponents.
• The geometry of geodesics and geodesic graphs and their interplay with the random metric and Busemann functions.

## Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Papers arising from the workshop:

A continuum of pure states in the Ising model on a halfplane
by  Douglas Abraham, Charles M. Newman, and Senya Shlosman
Bigeodesics in first-passage percolation
by  Michael Damron and Jack Hanson,  Comm. Math. Phys. 349 (2017), no. 2, 753-776  MR3595369