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Erik Bates (U Wisconsin - Madison)

We consider the standard first-passage percolation model on Z^d, in which each edge is assigned an i.i.d. nonnegative weight, and the passage time between any two points…
read more about Empirical measures, geodesic lengths, and a variational formula in first-passage percolation »

Danny Nam (Princeton, math)

In multi-particle Diffusion Limited Aggregation (DLA) a sea of particles performs independent random walks until they run into the aggregate and are absorbed. In…
read more about Critical One-dimensional Multi-particle DLA »

Adam Waterbury (UNC-Chapel Hill)

We propose two numerical schemes for approximating quasi-stationary distributions (QSD) of finite state Markov chains with absorbing states. Both schemes are described in…
read more about Approximating Quasi-Stationary Distributions with Interacting Reinforced Random Walks »

Kavita Ramnan (Brown, applied math)
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K-means clustering aims to partition a set of n points into k clusters in such a way that each observation belongs to the cluster with the nearest mean, and such that the…
read more about K-means clustering with optimization »