129 citations · 637 across the 37 of their papers we have counts for
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math.PR2026
Subcritical non-linear heat equations via spectral gap
Ilya Chevyrev, Hora Mirsajjadi
We establish local well-posedness for a class of non-linear heat equations on the torus whose highest order non-linearities have scaling-critical dimension $-1/k, \,…
math.PR2026
Scaling limit of the 3D abelian Yang--Mills Langevin dynamics
Ilya Chevyrev, Yahui Qu, Hao Shen
We study the continuum scaling limit of the Langevin dynamics for three-dimensional U(1) lattice Yang--Mills theory. The model is defined on the discrete 3D torus with a general cl…
math.PR2026
Orthogonal polynomials on path-space
Ilya Chevyrev, Emilio Ferrucci, Darrick Lee +3
We consider the orthogonalisation of the signature of a stochastic process as the analogue of orthogonal polynomials on path-space. Under an infinite radius of convergence assumpti…