H. Owhadi

activity

20012026

most citedA non-adapted sparse approximation of PDEs with stochastic inputs

460 citations · 1.9k across the 102 of their papers we have counts for

collaborators

Showing 2001Show all

3 papers · 1 filter

math.PR2001★ 1 cited

Multi-scale homogenization with bounded ratios and Anomalous Slow Diffusion

Gérard Ben-Arous, Houman Owhadi

We show that the effective diffusivity matrix $D (V^{n})$ for the heat operator $\partial_{t} - (Δ/2 - \nabla V^{n} \nabla)$ in a periodic potential $V^{n} = \sum_{k = 0}^{n} U_{k} (x / R_{k})$ obtained as…

math.PR2001★ 13 cited

Super-diffusivity in a shear flow model from perpetual homogenization

Gérard Ben-Arous, Houman Owhadi

This paper is concerned with the asymptotic behavior solutions of stochastic differential equations $d y_{t} = d ω_{t} - \nablaΓ (y_{t}) d t$ , $y_{0} = 0$ and $d = 2$ . $Γ$ is a $2 \times 2$ skew-symm…

math.PR2001★ 2 cited

Anomalous Slow Diffusion from Perpetual Homogenization

Houman Owhadi

This paper is concerned with the asymptotic behavior of solutions of stochastic differential equations $d y_{t} = d ω_{t} - \nabla V (y_{t}) d t$ , $y_{0} = 0$ . When $d = 1$ and $V$ is not periodic bu…