Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Liu, Mingchang"'
In this article, we give an explicit relationship of SLE partition functions with Coulomb gas formalism of conformal field theory. We first construct a family of SLE${}_\kappa$ partition functions as Coulomb gas integrals and derive their various pro
Externí odkaz:
http://arxiv.org/abs/2406.06522
Autor:
Liu, Mingchang
In this paper, we consider hypergeometric SLE process for $\kappa\in (4,8)$ and $\nu>\frac{\kappa}{2}-6$. Though the definition of hypergeometric SLE process is complicated, we show that given its hitting point on a specific boundary, its conditional
Externí odkaz:
http://arxiv.org/abs/2401.03503
We consider global 2-SLE$_{\kappa}$ $(\eta_1, \eta_2)$ in a topological rectangle with $\kappa\in (4,8)$. We derive the law of a random hitting point of the curves and show that, conditional on this random hitting point, the pair of two curves has th
Externí odkaz:
http://arxiv.org/abs/2310.10234
Autor:
Berestycki, Nathanaël, Liu, Mingchang
We consider the dimer model on piecewise Temperleyan, simply connected domains, on families of graphs which include the square lattice as well as superposition graphs. We focus on the spanning tree $\mathcal{T}_\delta$ associated to this model via Te
Externí odkaz:
http://arxiv.org/abs/2301.08513
Autor:
Liu, Mingchang, Wu, Hao
We consider uniform spanning tree (UST) in topological polygons with $2N$ marked points on the boundary with alternating boundary conditions. In [LPW21], the authors derive the scaling limit of the Peano curve in the UST. They are variants of SLE$_8$
Externí odkaz:
http://arxiv.org/abs/2108.10500
We find explicit SLE(8) partition functions for the scaling limits of Peano curves in the uniform spanning tree (UST) in topological polygons with general boundary conditions. They are given in terms of Coulomb gas integral formulas, which can also b
Externí odkaz:
http://arxiv.org/abs/2108.04421
Publikováno v:
Shipin Kexue, Vol 44, Iss 14, Pp 352-359 (2023)
To establish a method to identify the authenticity of manuka honey, this study compared different methods of DNA extraction from mānuka honey pollen, and it developed a DNA extraction method for mānuka honey supernatant and a real-time polymerase c
Externí odkaz:
https://doaj.org/article/44ab87302eba478ba1bb2a7c65621df8
We consider uniform spanning tree (UST) in topological rectangles with alternating boundary conditions. The Peano curves associated to the UST converge weakly to hypergeometric SLE$_8$, denoted by hSLE$_8$. From the convergence result, we obtain the
Externí odkaz:
http://arxiv.org/abs/2008.00403
Autor:
Liu, Mingchang, Wu, Hao
We consider metric graph Gaussian free field (GFF) defined on polygons of $\delta\mathbb{Z}^2$ with alternating boundary data. The crossing probabilities for level-set percolation of metric graph GFF have scaling limits. When the boundary data is wel
Externí odkaz:
http://arxiv.org/abs/2004.09104
Publikováno v:
In Composite Structures 15 August 2023 318