Mingchang Liu

collaborators

2 papers

math.PR2025

Critical Ising model, Multiple SLE $_{κ} (\frac{κ - 6}{2}, \frac{κ - 6}{2})$ and $β$ -Jacobi Ensemble

Mingchang Liu

Fix $N \geq 1$ and suppose that $(Ω; x_{1}, \dots, x_{N}; x_{N + 1}, x_{N + 2})$ is a polygon, i.e. $Ω$ is a simply connected domain with locally connected boundary and $x_{1}, \dots, x_{N + 2}$ …

math.PR2024

Decomposition of Hypergeometric SLE and Reversibility

Mingchang Liu

In this paper, we consider hypergeometric SLE process for $κ \in (4, 8)$ and $ν > \frac{κ}{2} - 6$ . Though the definition of hypergeometric SLE process is complicated, we show that given i…

Critical Ising model, Multiple SLEκ​(2κ−6​,2κ−6​) and β-Jacobi Ensemble

Decomposition of Hypergeometric SLE and Reversibility

Critical Ising model, Multiple SLE $_{κ} (\frac{κ - 6}{2}, \frac{κ - 6}{2})$ and $β$ -Jacobi Ensemble