3 papers
math.PR2025
Near-the-Axis Universality in Last Passage Percolation
Sam McKeown, Xinyi Zhang
This note establishes a universal directed landscape limit for last passage percolation models in an intermediate scaling regime. We find as a quick consequence the transversal flu…
math.PR2025
Convergence from the Log-Gamma Polymer to the Directed Landscape
Xinyi Zhang
We define the log-gamma sheet and the log-gamma landscape in terms of the 2-parameter and 4-parameter free energy of the log-gamma polymer model and prove that they converge to the…
math.NT2018
On the Radical of Multiperfect Numbers and Applications
Nithin Kavi, Xinyi Zhang, Viraj Jayam +1
It is conjectured that for a perfect number We prove bounds on the radical of multiperfect number depending on its abundancy index. Assum…