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Existence and spatial limit theorems for lattice and continuum particle systems
Interacting particle system functional central limit theorem point process
2009/5/18
We give a general existence result for interacting particle systems with local interactions and bounded jump rates but noncompact state space at each site. We allow for jump events at a site that affe...
We examine the percolation model on $mathbb{Z}^d$ by an approach involving lattice animals and their surface-area-to-volume ratio. For $beta in [0,2(d-1))$, let $f(beta)$ be the asymptotic exponential...
Critical Exponents in Percolation via Lattice Animals
Critical Exponent Percolation Lattice Animals
2009/4/7
We examine the percolation model on $mathbb{Z}^d$ by an approach involving lattice animals and their surface-area-to-volume ratio. For $beta in [0,2(d-1))$, let $f(beta)$ be the asymptotic exponential...