Xinyi Zhang

activity

20182026

collaborators

Showing 2026Show all

3 papers · 1 filter

math.PR2026

Hitting time mixing for random $k$ -cycles

Chen Shang, Jiahe Shen, Jiyue Zeng +1

In this paper, we study the random walk on the symmetric group $S_{n}$ generated by the conjugacy class of $k$ -cycles, where $2 \leq k = o (n / (lo g n)^{4})$ . We prove that the wa…

math.PR2026

Stationary Log-Gamma Polymer in Half-Space

Jiyue Zeng, Xinyi Zhang

We study the half-space log-gamma polymer model with stationary initial conditions. We derive exact formulas for the distribution of the partition function along the diagonal acros…

math.PR2026

Convergence of Half-Space Last Passage Percolation Away from the Boundary to the Directed Landscape

Xinyi Zhang

In this note, we prove convergence of the half-space exponential last passage percolation (LPP) model, away from the boundary, to the directed landscape. Our approach couples the h…

Hitting time mixing for random k-cycles

Stationary Log-Gamma Polymer in Half-Space

Convergence of Half-Space Last Passage Percolation Away from the Boundary to the Directed Landscape

Hitting time mixing for random $k$ -cycles