{"id":"palomar/PALOMAR-2026-10-27-000013","url":"https://github.com/jvanwinden/StochasticConvolution/tree/7340e0eca4dd8bcae5dfc1f4f87016908965f1ee","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-27-000013-v1.json","repo":"https://github.com/jvanwinden/StochasticConvolution","tags":["math.PR","math.FA","msc:60H15","msc:47D06","msc:60H05","msc:60G17"],"score":0,"title":"Discontinuity of stochastic convolutions","trust":"high","domain":"math.PR","source":"palomar","authors":["Joris van Winden"],"reviews":0,"subject":"math.PR","summary":"A formalization of a corollary of Theorem 1.2 of arXiv:2609.12688v1. A C0-semigroup on a separable Hilbert space can admit a stochastic convolution that has no continuous modification.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-27","reactions":{},"formalized":true,"formalizes":[{"title":"No free lunch for continuity of stochastic convolutions","identifier":"https://arxiv.org/abs/2609.12688v1","relationship":"adapts"}]}