Contact process on one-dimensional long-range percolation
نویسنده
چکیده
In this note, we prove that the contact process on the one-dimensional longrange percolation with high exponent exhibits a non-trivial phase transition: there is a critical value of the infection rate λc > 0, such that if λ > λc, the contact process survives with positive probability, whereas if λ < λc, it dies out a.s.
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تاریخ انتشار 2017