2 papers
math.AP2026
Near-Critical Asymptotics and Radial Sharpness for a Two-Weight Hardy Inequality
Yerkin Shaimerdenov, Nurgissa Yessirkegenov
In this paper, we study the optimal constant in a planar two-weight Hardy inequality relating the gradient and Hessian of a scalar potential, posed by Maz'ya in [14, Probl…
math.PR2026
Infinite collisions of simple random walks on random recursive trees generated by Bernoulli sequences
Jia-shan Tang, Feng Wang, Xian-Yuan Wu
In this paper, we study random recursive trees generated by Bernoulli sequences. Starting from a graph with two vertices and one edge, each new vertex is connected to the last vert…