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pro vyhledávání: '"Okazaki, Fumiya"'
Autor:
Okazaki, Fumiya, Yamada, Takayuki
In this paper, we apply the framework of optimal transport to the formulation of optimal design problems. By considering the Wasserstein space as a set of design variables, we associate each probability measure with a shape configuration of a materia
Externí odkaz:
http://arxiv.org/abs/2411.12234
Autor:
Okazaki, Fumiya
In this article, we investigate sequences of discontinuous martingales on submanifolds of higher-dimensional Euclidean space. Those sequences naturally arise when we deal with a sequence of harmonic maps with respect to non-local Dirichlet forms, suc
Externí odkaz:
http://arxiv.org/abs/2409.17118
Autor:
Okazaki, Fumiya
We characterize weakly harmonic maps with respect to non-local Dirichlet forms by Markov processes and martingales. In particular, we can obtain discontinuous martingales on Riemannian manifolds from the image of symmetric stable processes under frac
Externí odkaz:
http://arxiv.org/abs/2305.14479
Autor:
Okazaki, Fumiya
Martingales with jumps on Riemannian manifolds and harmonic maps with respect to Markov processes are discussed in this paper. Discontinuous martingales on manifolds were introduced in Picard (1991). We obtain results about the convergence of marting
Externí odkaz:
http://arxiv.org/abs/2105.08889
Autor:
Okazaki, Fumiya
In this article, we deal with stochastic horizontal lifts and anti-developments of semimartingales with jumps on complete and connected Riemannian manifolds without any assumption for their curvatures. We prove two one-to-one correspondences among so
Externí odkaz:
http://arxiv.org/abs/2105.04824
Classification and regression in which the inputs are graphs of arbitrary size and shape have been paid attention in various fields such as computational chemistry and bioinformatics. Subgraph indicators are often used as the most fundamental feature
Externí odkaz:
http://arxiv.org/abs/1807.02963
Akademický článek
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Autor:
Okazaki, Fumiya
Publikováno v:
Journal of Theoretical Probability; Jun2024, Vol. 37 Issue 2, p1168-1198, 31p
Akademický článek
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The probabilistic characterization of weakly harmonic maps with respect to non-local Dirichlet forms
Autor:
Okazaki, Fumiya
We characterize weakly harmonic maps with respect to non-local Dirichlet forms by Markov processes and martingales. In particular, we can obtain discontinuous martingales on Riemanian manifolds by inserting symmetric stable processes into fractional
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f41df524676d0031bf040400f4fa8ac6
http://arxiv.org/abs/2305.14479
http://arxiv.org/abs/2305.14479