3 papers
math.CO2026
Benjamini-Schramm convergence and subtrees of trees
Stijn Cambie, Stephan Wagner, Ruoyu Wang
In this paper, we study the asymptotic behaviour of the number of subtrees and the subtree density for a sequence of trees that converges in the Benjamini-Schramm sense. Benjamini-…
math.AP2025
Hölder damping for fractional wave equations
Jian Wang, Ruoyu P. T. Wang
For fractional wave equations with low Hölder regularity damping, we establish quantitative energy decay rates for their solutions when the geometric control condition holds. The…
math.AP2024
Optimal backward uniqueness and polynomial stability of second order equations with unbounded damping
Perry Kleinhenz, Ruoyu P. T. Wang
For general second order evolution equations, we prove an optimal condition on the degree of unboundedness of the damping, that rules out finite-time extinction. We show that contr…