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math.DS2019
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…
math.PR2019★ 3 cited
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…