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

collaborators

3 papers

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-ph2019★ 1 cited

Spectral rigidity of random Schrödinger operators via Feynman-Kac formulas

Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao

We develop a technique for proving number rigidity (in the sense of Ghosh-Peres) of the spectrum of general random Schrödinger operators (RSOs). Our method makes use of Feynman-Kac…

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…