activity
20132026
most citedA lower bound for disconnection by random interlacements

22 citations · 51 across the 23 of their papers we have counts for

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5 papers · 1 filter

cond-mat.mtrl-sci2026

Ultra-Confinement of Polaritons in Single Atomic Layer Ag Photonic Quantum Dots

Xinyi Li, Tetyana Ignatova, Chengye Dong +8

Light scattering by two-dimensional (2D) van der Waals heterostructures (vdWHs) is immense, especially given their infinitesimal volume, thus enabling strong light-matter interacti…

math.PR2026

Tail exponents of the three-dimensional uniform spanning tree and Abelian sandpile

Xinyi Li, Runsheng Liu, Daisuke Shiraishi

We study the local geometry of the three-dimensional uniform spanning tree and its connection with the Abelian sandpile model. We obtain sharp tail exponents, up to subpolynomial e…

math.PR2026

Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup

Yifan Gao, Ruixuan Li, Xinyi Li

We study generalized non-intersection probabilities for the three-dimensional Brownian loop soup at subcritical intensities. We establish the existence of generalized intersection…

math.NT2026

On a Conjecture about Sums Involving Farey Fractions

Anji Dong, Xinyi Li, Vi Anh Nguyen

In this paper, we prove a conjecture by Daniele Mundici on the sum of squared distances between consecutive elements in the -th Farey sequence for and …

math.PR2026

Large deviations for maximum local time of simple random walk in dimensions

Xinyi Li, Yushu Zheng

We obtain sharp asymptotic probabilities for upward deviations of the maximum local time of discrete- and continuous-time simple random walks on , . For downw…