Dapeng Zhan

activity

20032026

most citedDuality of Chordal SLE

94 citations · 239 across the 32 of their papers we have counts for

collaborators

32 papers

math.PR2026

Trivariate Hypergeometric Series Formulas for Pure Partition Functions of Multiple $3$ -SLE $_{κ}$

Dapeng Zhan

Pure partition functions of multiple SLE are characterized by null-state partial differential equations, Möbius covariance, and boundary asymptotics. After quotienting by Möbius co…

math.PR2023

Existence and uniqueness of nonsimple multiple SLE

Dapeng Zhan

We prove the existence and uniqueness of multiple SLE $_{κ}$ associated with any given link pattern for $κ \in (4, 6]$ . We also have the uniqueness for $κ \in (6, 8)$ . The multiple SLE$_κ…

math.PR2022

Existence of multi-point boundary Green's function for chordal Schramm-Loewner evolution (SLE)

Rami Fakhry, Dapeng Zhan

In the paper we prove that, for $κ \in (0, 8)$ , the $n$ -point boundary Green's function of exponent $\frac{8}{κ} - 1$ for chordal SLE $_{κ}$ exists. We also prove that the convergence is unifo…

math.PR2022

SLE $_{κ} (ρ)$ bubble measures

Dapeng Zhan

For $κ > 0$ and $ρ > - 2$ , we construct a $σ$ -finite measure, called a rooted SLE $_{κ} (ρ)$ bubble measure, on the space of curves in the upper half plane $H$ started and ended at…

math.PR2021

Boundary Green's functions and Minkowski content measure of multi-force-point SLE $_{κ} (ρ)$

Dapeng Zhan

We consider a transient chordal SLE $_{κ} (ρ_{1}, \dots, ρ_{m})$ curve $η$ in $H$ from $w$ to $\infty$ with force points $v_{1} > \dots > v_{m}$ in $(- \infty, w^{-}]$ , which intersects and…

math.PR2020★ 2 cited

Green's function for cut points of chordal SLE attached with boundary arcs

Dapeng Zhan

Let $κ \in (4, 8)$ . Let $γ$ be an SLE $_{κ}$ curve in a Jordan domain $D$ connecting $a_{1} \neq = a_{2} \in \partial D$ . We attach $γ$ with two open boundary arcs $A_{1}, A_{2}$ of $D$ , which share en…

Trivariate Hypergeometric Series Formulas for Pure Partition Functions of Multiple 3-SLEκ​

Existence and uniqueness of nonsimple multiple SLE

Existence of multi-point boundary Green's function for chordal Schramm-Loewner evolution (SLE)

SLEκ​(ρ) bubble measures

Boundary Green's functions and Minkowski content measure of multi-force-point SLEκ​(ρ​)

Green's function for cut points of chordal SLE attached with boundary arcs

Trivariate Hypergeometric Series Formulas for Pure Partition Functions of Multiple $3$ -SLE $_{κ}$

SLE $_{κ} (ρ)$ bubble measures

Boundary Green's functions and Minkowski content measure of multi-force-point SLE $_{κ} (ρ)$