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On the boundary at infinity for branching random walk
Elisabetta Candelleroa, Tom Hutchcroftb
- aRoma Tre University, Dept. of Mathematics and Physics, Rome, Italy
- bDivision of Physics, Mathematics and Astronomy, California Institute of Technology
Electronic Communications in ProbabilityInstitute of Mathematical Statistics2023-01-01 10 citations33 references
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Abstract
We prove that a supercritical branching random walk on a transient Markov chain converges almost surely under rescaling to a random measure on the Martin boundary of the underlying Markov chain. Several open problems and conjectures about this limiting measure are presented.