4 papers · 1 filter
Ruelle's zeta function for non-Archimedean rational maps
Yunping Jiang, Chenxi Wu
We studied the transfer operators defined over -valued analytic functions for subhyperbolic rational maps on , and showed that the corresponding Ruelle'…
Thuston's Teapots and Graph Directed Systems
Chenxi Wu
Thurston's Master Teapot is a geometric object that encodes the entropies of critically periodic unimodal maps. We establish the connection between this object and the "Mandelbrot…
Concatenations in subshifts defined by linear orders and poles of the Artin-Mazur zeta function
Chenxi Wu
For certain pairs of unimodal maps on the interval with periodic critical orbits, it is known that one can combine them to create another map whose entropy is close to one while th…
Zeta function and entropy for non-archimedean subhyperbolic dynamics
Liang-Chung Hsia, Hongming Nie, Chenxi Wu
Let be a complete non-archimedean field of characteristic equipped with a discrete valuation. We establish the rationality of the Artin-Mazur zeta function on the Julia set…