Asymptotic behavior of a stochastic combustion growth process
Alejandro Ramírez, Vladas Sidoravicius (2004)
Journal of the European Mathematical Society
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We study a continuous time growth process on the -dimensional hypercubic lattice , which admits a phenomenological interpretation as the combustion reaction , where represents heat particles and inert particles. This process can be described as an interacting particle system in the following way: at time 0 a simple symmetric continuous time random walk of total jump rate one begins to move from the origin of the hypercubic lattice; then, as soon as any random walk visits a site...