3 papers
math.OA2026
Limit joint distributions of SYK Models with partial interactions, Mixed q-Gaussian Models and Asymptotic -freeness
Weihua Liu, Haoqi Shen
We study the joint distribution of SYK Hamiltonians for different systems with specified overlaps. We show that, in the large-system limit, their joint distribution converges in di…
math.PR2026
Concentration and fluctuations of sine-Gordon measure around topological multi-soliton manifold
Kihoon Seong, Hao Shen, Philippe Sosoe
We study the sine-Gordon measure defined on each homotopy class. The energy space decomposes into infinitely many such classes indexed by the topological degree .…
math.PR2026
Uniqueness of gauge covariant renormalisation of stochastic 3D Yang-Mills-Higgs
Ilya Chevyrev, Hao Shen
Local solutions to the 3D stochastic quantisation equations of Yang-Mills-Higgs were constructed in (arXiv:2201.03487), and it was shown that, in the limit of smooth mollifications…