Proves existence of self-intersection local times and a change-of-variable formula for Volterra Gaussian processes inside stochastic flows with interaction, plus asymptotics and results for unbounded weights.
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Lecture notes providing an introduction to Wiener chaos decomposition, Gaussian fields on the torus, and applications to the Φ^4 model.
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Self-intersection local times for Volterra Gaussian processes in stochastic flows with interaction
Proves existence of self-intersection local times and a change-of-variable formula for Volterra Gaussian processes inside stochastic flows with interaction, plus asymptotics and results for unbounded weights.
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Topics in Gaussian Wiener chaos expansion
Lecture notes providing an introduction to Wiener chaos decomposition, Gaussian fields on the torus, and applications to the Φ^4 model.