Oliver Tough

activity

20222026

most citedQuasi-stationary behavior of the stochastic FKPP equation on the circle

1 citations · 1 across the 4 of their papers we have counts for

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math.PR2026

Well-posedness for Wright--Fisher SPDEs with measurable drift

Jere Koskela, Oliver Tough

We prove weak existence and uniqueness in law of $[0, 1]$ -valued solutions for a class of scalar stochastic heat equations with measurable drifts $b : [0, 1] \to R$ , driven…

math.PR2023★ 1 cited

Quasi-stationary behavior of the stochastic FKPP equation on the circle

Wai-Tong Louis Fan, Oliver Tough

We consider the stochastic Fisher-Kolmogorov-Petrovsky-Piscunov (FKPP) equation on the circle $S$ , \begin{equation*} \partial_t u(t,x) \,= \fracα{2}Δu +β\,u(1-u) + \sqrt{γ…

math.PR2022

$L^{\infty}$ -convergence to a quasi-stationary distribution

Oliver Tough

For general absorbed Markov processes $(X_{t})_{0 \leq t < τ_{\partial}}$ having a quasi-stationary distribution (QSD) $π$ and absorption time $τ_{\partial}$ , we introduce a Dobrushin-t…

Well-posedness for Wright--Fisher SPDEs with measurable drift

Quasi-stationary behavior of the stochastic FKPP equation on the circle

L∞-convergence to a quasi-stationary distribution

$L^{\infty}$ -convergence to a quasi-stationary distribution