Martin boundary of random walks in convex cones
نویسندگان
چکیده
We determine the asymptotic behavior of Green function for zero-drift random walks confined to multidimensional convex cones. As a consequence, we prove that there is unique positive discrete harmonic these processes (up multiplicative constant); in other words, Martin boundary reduces singleton.
منابع مشابه
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ژورنال
عنوان ژورنال: Annales Henri Lebesgue
سال: 2022
ISSN: ['2644-9463']
DOI: https://doi.org/10.5802/ahl.130