3 papers
math.CA2026
On the small denominator problem for generalized Minkowski--Funk transforms
Rui Han, Yaghoub Rahimi
Rubin's generalized Minkowski--Funk transforms on the sphere give rise, for irrational radii , to a small denominator problem governed by the…
math.SP2025
Hölder continuity of the integrated density of states for quasi-periodic Jacobi block matrices
Rui Han, Wilhelm Schlag
In this paper, we prove Hölder continuity of the integrated density of states for discrete quasiperiodic Jacobi block matrices with Diophantine frequencies. The Hölde…
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…