In this article, we consider a simple model in equilibrium statistical mechanics for a two-dimensional crystal without defects. In this model, the local specifications for infinite-volume Gibbs measures are rotationally symmetric. We show that at sufficiently low, but positive temperature,…

We consider Reinforced Random Walks where transitions probabilities are a function of the proportions of times the walk has traversed an edge. We give conditions for recurrence or transience. A phase transition is observed, similar to Pemantle [7] on trees

Using the high moment method and the Feynman-Kac semigroup technique, we obtain moderate deviations and laws of the iterated logarithm for the volume of the intersections of two and three dimensional Wiener sausages.

We prove that a stochastic flow of reflected Brownian motions in a smooth multidimensional domain is differentiable with respect to its initial position. The derivative is a linear map represented by a multiplicative functional for reflected Brownian motion. The method…

Almost sure and $L^k$-convergence of the traces of Laguerre processes to the family of dilations of the standard free Poisson distribution are established. We also prove that the fluctuations around the limiting process, converge weakly to a continuous centered Gaussian…

We consider the two dimensional discrete Gaussian free field confined between two hard walls. We show that the field becomes massive and identify the precise asymptotic behavior of the mass and the variance of the field as the height of…

This is my first edition of the Engineering Design Graphics Journal as the Director of Publications for the next three years. This feels like home to me, since I spent a good part of my corporate life in the publishing…

Visualization through imagery has been a method of communicating both abstract and concrete information since the beginning of time. The invention of computer graphics is one of the most signifi cant discoveries in visualization. Applying visualization to a variety of…

"PUBLISH or PERISH"   We in academia have all been subject to the doctrine of "publish or perish".  It is a mist for promotion and tenure.  If you don't find a research area (preferably funded by grants) and write prolifically…

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