1 citations · 1 across the 3 of their papers we have counts for
6 papers
Large deviations for small noise hypoelliptic diffusion bridges on sub-Riemannian manifolds
Yuzuru Inahama
In this paper we study a large deviation principle of Freidlin-Wentzell type for pinned hypoelliptic diffusion measures associated with a natural sub-Laplacian on a compact sub-Rie…
Positivity of the density for rough differential equations
Yuzuru Inahama, Bin Pei
Due to recent developments of Malliavin calculus for rough differential equations, it is now known that, under natural assumptions, the law of a unique solution at a fixed time has…
Stochastic flows and rough differential equations on foliated spaces
Yuzuru Inahama, Kiyotaka Suzaki
Stochastic differential equations (SDEs) on compact foliated spaces were introduced a few years ago. As a corollary, a leafwise Brownian motion on a compact foliated space was obta…
Asymptotic expansion of the density for hypoelliptic rough differential equation
Yuzuru Inahama, Nobuaki Naganuma
We study a rough differential equation driven by fractional Brownian motion with Hurst parameter . Under Hörmander's condition on the coefficient vector fields…
Paracontrolled quasi-geostrophic equation with space-time white noise
Yuzuru Inahama, Yoshihiro Sawano
We study the stochastic dissipative quasi-geostrophic equation with space-time white noise on the two-dimensional torus. This equation is highly singular and basically ill-posed in…
Rough path theory and stochastic calculus
Yuzuru Inahama
T. Lyons' rough path theory is something like a deterministic version of K. Ito's theory of stochastic differential equations, combined with ideas from K. T. Chen's theory of itera…