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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
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Percolation critical exponent $\nu$ does not depend on neighborhood connectivity. Does this ...
I read the Wikipedia article on Percolation critical exponents. It says:
In the context of the physical and mathematical theory of percolation, a percolation transition is characterized by a set o …
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Likelihood ratio of non-trivial cycles in an inhomogeneous random square lattice graph embed...
Consider a square lattice (random) graph $G$ embedded on a toroidal surface. Each edge $(i, j)$ of the graph has an associated likelihood probability $p_{ij}$. The probabilities $p_{ij}$ come from a p …