129 citations · 637 across the 37 of their papers we have counts for
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math.PR2025★ 1 cited
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…
math.PR2025
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…
math.PR2025★ 1 cited
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…