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math.DS2019
Martin boundary of Brownian motion on Gromov hyperbolic metric graphs
Soonki Hong, Seonhee Lim
Let be a locally finite complete Gromov hyperbolic metric graph with the geometric boundary consisting of infinitely many points. Suppose that there is a discrete s…
math.DS2019
Dimension bound for doubly badly approximable affine forms
Wooyeon Kim, Seonhee Lim
We prove that for all , the Hausdorff dimension of the set of matrices -badly approximable for the target is not full. The doubly metric case follows. It was…
math.DS2019
Limiting distribution of geodesics in a geometrically finite quotients of regular trees
Sanghoon Kwon, Seonhee Lim
In this article, we prove an extreme value theorem on the limit distribution of geodesics in a geometrically finite quotient of a locally finite tree. Main…