Ioannis Gasteratos

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math.PR2025

Kolmogorov equations for stochastic Volterra processes with singular kernels

Ioannis Gasteratos, Alexandre Pannier

We associate backward and forward Kolmogorov equations to a class of fully nonlinear Stochastic Volterra Equations (SVEs) with convolution kernels $K$ that are singular at the orig…

math.PR2025

On the Onsager-Machlup functional of the $Φ^{4}$ -measure

Ioannis Gasteratos, Zachary Selk

We investigate the existence of generalised densities for the $Φ_{d}^{4}$ $(d = 1, 2, 3)$ measures, in finite volume, through the lens of Onsager-Machlup (OM) functionals. The latter are r…

math.PR2025

Uniform attraction and exit problems for stochastic damped wave equations

Ioannis Gasteratos, Michael Salins, Konstantinos Spiliopoulos

We consider a class of wave equations with constant damping and polynomial nonlinearities that are perturbed by small, multiplicative, space-time white noise. The equations are def…

Kolmogorov equations for stochastic Volterra processes with singular kernels

On the Onsager-Machlup functional of the Φ4-measure

Uniform attraction and exit problems for stochastic damped wave equations

On the Onsager-Machlup functional of the $Φ^{4}$ -measure