6 papers
Classification of commutation relation for multi-chordal SLE
Mo Chen, Chongzhi Huang, Hao Wu
We classify the linear solution spaces of the chordal Belavin--Polyakov--Zamolodchikov (BPZ) equations, which arise in Dubédat's commutation relations for multiple Schramm--Loewner…
Classification of commutation relation for multi-radial SLE
Chongzhi Huang, Hao Wu
Locally commuting multiple radial Schramm-Loewner evolutions () are encoded by partition functions satisfying the radial Belavin-Polyakov-Zamolodchikov (BPZ) equati…
Gaussian free field in annulus: BPZ equations and crossing probabilities for level lines
Chongzhi Huang, Mingchang Liu, Hao Wu
We consider level lines of Gaussian free field (GFF) in annulus with alternating boundary conditions. We calculate the probability that all level lines cross the annulus. Such prob…
Multi-time Loewner energy: rate function for large deviation
Mo Chen, Chongzhi Huang, Hao Wu
The classification of probability measures that satisfy both conformal invariance and domain Markov property is equivalent to characterizing solutions to the Belavin--Polyakov--Zam…
Multiradial SLE with spiral: resampling property and boundary perturbation
Chongzhi Huang, Eveliina Peltola, Hao Wu
We consider multiple radial Schramm-Loewner evolution (SLE) curves with various time parameterizations and possible spiraling behavior. We construct them by tilting independent rad…
Multiple SLEs and Dyson Brownian motion: transition density and Green's function
Chongzhi Huang, Hao Wu, Lu Yang
We consider multiple chordal Schramm-Loewner evolution (SLE) with . Under common-time parameterization, we show that the transition density of the driving function of m…