22 citations · 51 across the 23 of their papers we have counts for
25 papers
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…
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…
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…
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 …
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…
Asymptotics for the percolation threshold of finitary random interlacements in four and higher dimensions
Yijie Bi, Zhenhao Cai, Xinyi Li +2
We establish sharp asymptotic bounds for the critical intensity of the Finitary Random Interlacements (FRI) model in four and higher dimensions with general trajectory length distr…
Full extremal process in four-dimensional membrane model
Hao Ge, Xinyi Li, Jiaxi Zhao
We investigate the extremal process of four-dimensional membrane models as the size of the lattice tends to infinity. We prove the cluster-like geometry of the extreme points a…
Large Deviations of Cover Time of Tori in Dimensions
Xinyi Li, Jialu Shi, Qiheng Xu
We consider large deviations of the cover time of the discrete torus , by simple random walk. We prove a lower bound on the probability that…
Favorite sites for simple random walk in two and more dimensions
Chenxu Hao, Xinyi Li, Izumi Okada +1
On the trace of a discrete-time simple random walk on for , we consider the evolution of favorite sites, i.e., sites that achieve the maximal local time at…
Manipulable compact many-body localization and absence of superfluidity in geometrically frustrated systems
Xinyao Zhang, Matheus S. M. de Sousa, Xinyi Li +2
Geometric frustration is known to completely damage kinetic processes of some of the orbitals (and their associated quantum coherence) as to produce flat bands in the non-interacti…
Percolation threshold for metric graph loop soup
Yinshan Chang, Hang Du, Xinyi Li
In this short note, we show that the critical threshold for the percolation of metric graph loop soup on a large class of transient metric graphs (including quasi-transitive graphs…
Sharp asymptotics for arm probabilities in critical planar percolation
Hang Du, Yifan Gao, Xinyi Li +1
In this work, we consider critical planar site percolation on the triangular lattice and derive sharp estimates on the asymptotics of the probability of half-plane -arm events f…
On large deviations and intersection of random interlacements
Xinyi Li, Zijie Zhuang
We investigate random interlacements on with , and derive the large deviation rate for the probability that the capacity of the interlacement set in a macr…
On Natural Measures of SLE- and CLE-Related Random Fractals
Gefei Cai, Xinyi Li
In this paper, we construct and then prove the up-to constants uniqueness of the natural measure on several random fractals, namely the SLE cut points, SLE boundary touching points…
Multiple points on the boundaries of Brownian loop-soup clusters
Yifan Gao, Xinyi Li, Wei Qian
For a Brownian loop soup with intensity in the unit disk, we show that almost surely, the set of simple (resp. double) points on any portion of boundary of any of its c…
The Hölder continuity of the scaling limit of three-dimensional loop-erased random walk
Xinyi Li, Daisuke Shiraishi
Let be the growth exponent of the loop-erased random walk (LERW) in three dimensions. We prove that the scaling limit of 3D LERW is -Hölder continuous almost surely for all…
Approximating the Geometric Edit Distance
Kyle Fox, Xinyi Li
Edit distance is a measurement of similarity between two sequences such as strings, point sequences, or polygonal curves. Many matching problems from a variety of areas, such as si…
Convergence of three-dimensional loop-erased random walk in the natural parametrization
Xinyi Li, Daisuke Shiraishi
In this work we consider loop-erased random walk (LERW) and its scaling limit in three dimensions, and prove that 3D LERW parametrized by renormalized length converges to its scali…
One-point function estimates for loop-erased random walk in three dimensions
Xinyi Li, Daisuke Shiraishi
In this work, we consider loop-erased random walk (LERW) in three dimensions and give an asymptotic estimate on the one-point function for LERW and the non-intersection probability…
Shape theorem and surface fluctuation for Poisson cylinders
Marcelo Hilario, Xinyi Li, Petr Panov
In this work, we prove a shape theorem for Poisson cylinders and give a power law bound on surface fluctuations. We prove that for any , conditioned on the origin b…
Natural parametrization of percolation interface and pivotal points
Nina Holden, Xinyi Li, Xin Sun
We prove that the interface of critical site percolation on the triangular lattice converges to SLE in its natural parametrization, where the discrete interface is parametrized…
Minkowski content of Brownian cut points
Nina Holden, Gregory F. Lawler, Xinyi Li +1
Let , , be a Brownian motion in , . We say that is a cut point for if for some such that and $W (t…
Percolative properties of Brownian interlacements and its vacant set
Xinyi Li
In this article we investigate the percolative properties of Brownian interlacements, a model introduced by Alain-Sol Sznitman in arXiv:1209.4531, and show that: the interlacement…
A lower bound for disconnection by random interlacements
Xinyi Li, Alain-Sol Sznitman
We consider the vacant set of random interlacements on Z^d, with d bigger or equal to 3, in the percolative regime. Motivated by the large deviation principles obtained in our rece…