The geometry of random contours and its impact on the correlations
I will talk about the models of statistical physics which can be expressed as collections of random contours (such as the Ising model).
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I will talk about the models of statistical physics which can be expressed as collections of random contours (such as the Ising model).
Let points X_1,X_2, … be i.d.d. uniform over [0,1]^d. When a new point X_n arrives, it connects to the nearest point in X1,…,X_{n-1}.
Every invariant point process on a topological group has a numerical invariant associated to it...
We consider the classical Erdős-Rényi random graph as well as percolation on a random regular graph...
I will give an overview of research in the area of random directed graphs with possibly random edge weights.
Random spanning forests, which are efficiently sampled by Wilson's algorithm, enjoy both abelian...
(1) Some of my old work involved an axiomatization of the SIRSN class of networks...
I will present a (partly) new method for perfectly sampling from the stationary regime of point processes having an infinite number of interacting components.
We start by considering irreducible aperiodic positive recurrent Markov chains, and the proof of the main limit theorem...
We consider a random walk on a one/multidimensional integer lattice with random bounds on local times, conditioned on the event that it hits a high level before its death.
In 1960, Wigner published an article famously titled “The Unreasonable Effectiveness of Mathematics in the Natural Sciences.