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- W2013485485 abstract "Motivated by its relevance for the study of perturbations of one-dimensional voter models, including stochastic Potts models at low temperature, we consider diffusively rescaled coalescing random walks with branching and killing. Our main result is convergence to a new continuum process, in which the random space–time paths of the Sun–Swart Brownian net are terminated at a Poisson cloud of killing points. We also prove existence of a percolation transition as the killing rate varies. Key issues for convergence are the relations of the discrete model killing points and their intensity measure to the continuum counterparts: these convergence issues make the addition of killing considerably more difficult for the Brownian net than for the Brownian web." @default.
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- W2013485485 date "2015-03-01" @default.
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- W2013485485 title "Brownian net with killing" @default.
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- W2013485485 doi "https://doi.org/10.1016/j.spa.2014.09.018" @default.
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