This review provides an introduction to two dimensional growth processes. Although it
covers a variety of processes such as diffusion limited aggregation, it is mostly devoted to a …

We introduce and study a class of models of free fermions hopping between neighbouring
sites with random Brownian amplitudes. These simple models describe stochastic, diffusive, …

Stochastic Loewner evolutions (SLE κ ) are random growth processes of sets, called hulls,
embedded in the two dimensional upper half plane. We elaborate and develop a relation …

The mechanistic bases for gene essentiality and for cell mutational resistance have long
been disputed. The recent availability of large protein interaction databases has fuelled the …

Notch proteins are cell surface receptors that mediate developmental cell specification
events. To explore the function of murine Notch1, an essential portion of the gene was flanked …

Heregulins bind directly to ErbB3 and ErbB4 receptors, leading to multiple dimerization
possibilities including heterodimerization with the ErbB2 receptor. We have generated ErbB3-, …

We observe that the expressions of order parameters (“local height probabilities”) in the
regime III of integrable A, D lattice models are closely related to the partition functions of the …

A statistical mechanics argument relating partition functions to martingales is used to get a
condition under which random geometric processes can describe interfaces in 2d statistical …

We study numerically and analytically the spectrum of incidence matrices of random labeled
graphs on N vertices: any pair of vertices is connected by an edge with probability p. We …

Motivated by recent experiments on quantum trapped fields, we give a rigorous proof that
repeated indirect quantum nondemolition (QND) measurements converge to the collapse of …