Steady state for the subcritical contact branching random walk on the lattice with the arbitrary number of offspring and with immigration

Elena Chernousova; Joseph Whitmeyer; Stanislav Molchanov; Yaqin Feng

arxiv: 1808.05674 · v1 · pith:FNKXBQ7Tnew · submitted 2018-08-16 · 🧮 math.PR

Steady state for the subcritical contact branching random walk on the lattice with the arbitrary number of offspring and with immigration

Elena Chernousova , Yaqin Feng , Stanislav Molchanov , Joseph Whitmeyer This is my paper

classification 🧮 math.PR

keywords arbitrarybranchingcontactimmigrationnumberoffspringrandomstate

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We consider the subcritical contact branching random walk on Zd in continuous time with the arbitrary number of offspring and with immigration. We prove the existence of the steady state (statistical equilibrium).

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Steady state for the subcritical contact branching random walk on the lattice with the arbitrary number of offspring and with immigration

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