7 papers
On the paucity of lattice triangles
David Kurniadi Angdinata, Evan Chen, Ken Ono +2
A rational triangle (one whose angles are rational multiples of ) unfolds to a translation surface . The lattice triangle problem asks to classify those for…
Multiple radial SLE() and quantum Calogero-Sutherland system
Jiaxin Zhang
We develop a theory for the multiple radial systems with parameter -- a family of random multi-curve systems in a simply connected domain , with mark…
Multiple radial SLE(0) and classical Calogero-Sutherland System
Jiaxin Zhang
We develop a theory of multiple radial SLE(0) -- a smooth system of curves in a simply connected domain with marked boundary points and a ma…
Irregular traces of multiple SLE(0) systems with multiple marked points
Jiaxin Zhang
In this supplementary note, we study the traces of multiple SLE(0) systems with two or more additional marked points. For general chordal configurations, the traces correspond to t…
Asymptotic of Coulomb gas integral, Temperley-Lieb type algebras and pure partition functions
Jiaxin Zhang
In this supplementary note, we study the asymptotic behavior of several types of Coulomb gas integrals and construct the pure partition functions for multiple radial $\mathrm{SLE}(…
Multiple chordal SLE() and quantum Calogero-Moser system
Jiaxin Zhang
We study multiple chordal SLE systems in a simply connected domain , where are boundary starting points and is an a…