for this workshop
First passage percolation and related models
American Institute of Mathematics, San Jose, California
Antonio Auffinger, Michael Damron, and Jack T. Hanson
This workshop, sponsored by AIM and the NSF, 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.
The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
The deadline to apply for support to participate in this workshop has passed.
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