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math.AP2026
Sharp dimension threshold for unique FKPP steady states and BBM recurrence
Luca Rossi, Oliver Tough
We consider the existence and uniqueness of positive, bounded stationary solutions of the Fisher-KPP equation with Dirichlet boundary conditions. We establish that stationary solut…
math.PR2026
Well-posedness for Wright--Fisher SPDEs with measurable drift
Jere Koskela, Oliver Tough
We prove weak existence and uniqueness in law of -valued solutions for a class of scalar stochastic heat equations with measurable drifts , driven…