Long-range contact process and percolation on a random lattice

نویسندگان

چکیده

We study the phase transition phenomena for long-range oriented percolation and contact process. a process in which range of each vertex are independent, updated dynamically given by some distribution N. also an analogous model on hyper-cubic lattice, here there is special direction where bonds allowed; all vertices i.i.d. sequence random variables with common For both models, we prove results about existence terms

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ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2022

ISSN: ['1879-209X', '0304-4149']

DOI: https://doi.org/10.1016/j.spa.2022.07.005