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math.PR2025
On spider diffusions having a spinning measure selected from their own local time
Isaac Ohavi, Miguel Martinez
The aim of this article is to give several results related to Walsh's spider diffusions living on a star-shaped network that have a spinning measure selected from the own local tim…
math.PR2023★ 1 cited
Martingale problem for a Walsh spider process with spinning measure selected from its own local time
Miguel Martinez, Isaac Ohavi
The objective of this article is to prove existence and weak uniqueness of a Walsh spider diffusion process, whose spinning measure and coefficients are allowed to depend on the lo…
math.PR2010★ 2 cited
The Logarithmic Sobolev Constant of The Lamplighter
Evgeny Abakumov, Anne Beaulieu, François Blanchard +17
We give estimates on the logarithmic Sobolev constant of some finite lamplighter graphs in terms of the spectral gap of the underlying base. Also, we give examples of application.