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Liu, Mingchang
Publications (3 of 3) Show all publications
Han, Y., Liu, M. & Wu, H. (2025). Hypergeometric SLE with κ = 8: Convergence of UST and LERW in topological rectangles. Annales de l'I.H.P. Probabilites et statistiques, 61(2), 1163-1211
Open this publication in new window or tab >>Hypergeometric SLE with κ = 8: Convergence of UST and LERW in topological rectangles
2025 (English)In: Annales de l'I.H.P. Probabilites et statistiques, ISSN 0246-0203, E-ISSN 1778-7017, Vol. 61, no 2, p. 1163-1211Article in journal (Refereed) Published
Abstract [en]

We consider uniform spanning tree (UST) in topological rectangles with alternating boundary conditions. The Peano curves associated to the UST converge weakly to hypergeometric SLE8, denoted by hSLE8. From the convergence result, we obtain the continuity and reversibility of hSLE8 as well as an interesting connection between SLE8 and hSLE8. The loop-erased random walk (LERW) branch in the UST converges weakly to SLE2(−1,−1;−1,−1). We also obtain the limiting joint distribution of the two end points of the LERW branch.

Place, publisher, year, edition, pages
Institute of Mathematical Statistics, 2025
Keywords
Loop-erased random walk, Schramm Loewner evolution, Uniform spanning tree
National Category
Probability Theory and Statistics
Identifiers
urn:nbn:se:kth:diva-364142 (URN)10.1214/23-AIHP1446 (DOI)001523086100013 ()2-s2.0-105005968791 (Scopus ID)
Note

QC 20250604

Available from: 2025-06-04 Created: 2025-06-04 Last updated: 2025-10-10Bibliographically approved
Guskov, V., Liu, M. & Viklund, F.Dyson Brownian motion on a circular arc.
Open this publication in new window or tab >>Dyson Brownian motion on a circular arc
(English)Manuscript (preprint) (Other academic)
National Category
Mathematical sciences
Identifiers
urn:nbn:se:kth:diva-376749 (URN)
Note

QC 20260216

Available from: 2026-02-13 Created: 2026-02-13 Last updated: 2026-02-16Bibliographically approved
Guskov, V., Liu, M. & Viklund, F.Dyson Brownian motion on a Jordan curve.
Open this publication in new window or tab >>Dyson Brownian motion on a Jordan curve
(English)Manuscript (preprint) (Other academic)
National Category
Mathematical sciences
Identifiers
urn:nbn:se:kth:diva-376748 (URN)
Note

QC 20260216

Available from: 2026-02-13 Created: 2026-02-13 Last updated: 2026-02-16Bibliographically approved
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