Pierre Yves Gaudreau Lamarre

most citedSemigroups for One-Dimensional Schrödinger Operators with Multiplicative Gaussian Noise

7 citations · 8 across the 3 of their papers we have counts for

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math.PR2024

Exact Multi-Point Correlations in the Stochastic Heat Equation for Strictly Sublinear Coordinates

Pierre Yves Gaudreau Lamarre, Yier Lin

We consider the Stochastic Heat Equation (SHE) in $(1 + 1)$ dimensions with delta Dirac initial data and spacetime white noise. We prove exact large-time asymptotics for multi-point…

math.PR2019★ 7 cited

Semigroups for One-Dimensional Schrödinger Operators with Multiplicative Gaussian Noise

Pierre Yves Gaudreau Lamarre

Let $H := - \frac{1}{2} Δ + V$ be a one-dimensional continuum Schrödinger operator. Consider $H^:= H + ξ$ , where $ξ$ is a translation invariant Gaussian noise. Under some assumptions o…