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math.DS2021
Julia sets and geometrically finite maps over finite extensions of the -adic field
Shilei Fan, Lingmin Liao, Hongmin Nie +1
Let be a finite extension of the field of -adic numbers, and be a rational map of degree at least . We prove that the -Julia set of is t…
math.PR2021
Uniform random covering problems
Henna Koivusalo, Lingmin Liao, Tomas Persson
Motivated by the random covering problem and the study of Dirichlet uniform approximable numbers, we investigate the uniform random covering problem. Precisely, consider an i.i.d.…