129 citations · 637 across the 37 of their papers we have counts for
39 papers
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, \,…
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…
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…
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…
Rates of memory loss for null recurrent Markov chains
Ilya Chevyrev, Alexey Korepanov
Orey (1962) proved that for an irreducible, aperiodic, and recurrent Markov chain with transition operator , the sequence converges to zero in total variation for a…
Non-Gaussianity of invariant measures to SPDEs in Da Prato-Debussche regime
Ajay Chandra, Ilya Chevyrev
We propose an elementary method to show non-Gaussianity of invariant measures of parabolic stochastic partial differential equations with polynomial non-linearities in the Da Prato…