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math-ph2025
On the Ballistic Transport for limit-periodic Jacobi Matrices
Rui Han, Moises Gomez Solis
Motivated by Open Problem 17 in Damanik-Fillman's manuscript , we study the decay rate of limit-periodic approximation such that ballistic transport persists in the limit-periodic…
math-ph2024
Hölder continuity of the integrated density of states for Liouville frequencies
Rui Han, Wilhelm Schlag
We prove Hölder continuity of the Lyapunov exponent and the integrated density of states at energies that satisfy for general analy…