6 citations · 9 across the 5 of their papers we have counts for
5 papers
On the transition density function of the diffusion process generated by the Grushin operator
Setsuo Taniguchi
The short-time asymptotic behavior of the transition density function of the diffusion process generated by the general Grushin operator will be investigated, by using its explicit…
Heat trace asymptotics on equiregular sub-Riemannian manifolds
Yuzuru Inahama, Setsuo Taniguchi
We study a "div-grad type" sub-Laplacian with respect to a smooth measure and its associated heat semigroup on a compact equiregular sub-Riemannian manifold. We prove a short time…
Short time full asymptotic expansion of hypoelliptic heat kernel at the cut locus
Yuzuru Inahama, Setsuo Taniguchi
In this paper we prove a short time asymptotic expansion of a hypoelliptic heat kernel on an Euclidean space and a compact manifold. We study the "cut locus" case, namely, the case…
A construction of diffusion processes associated with sub-Laplacian on CR manifolds and its applications
Hiroki Kondo, Setsuo Taniguchi
A diffusion process associated with the real sub-Laplacian , the real part of the complex Kohn-Spencer laplacian , on a strictly pseudoconvex CR manifold is constru…
Brownian sheet and reflectionless potentials
Setsuo Taniguchi
The bijectivity of the mapping, which is represented as expectation, from a family of Gaussian measures parametrized by linear combinations of Dirac measures to the space of classi…