Open Research Index

Discontinuity of stochastic convolutions

Joris van Winden

Palomar Registrypalomar/PALOMAR-2026-10-27-000013Oct 27, 2026math.PRscore 0

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.

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