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pro vyhledávání: '"Ishiwata, Satoshi"'
Autor:
Ishiwata, Satoshi, Kawabi, Hiroshi
In the present paper, we prove that the $C_{0}$-semigroup generated by a Schr\"odinger operator with drift on a complete Riemannian manifold is approximated by the discrete semigroups associated with a family of discrete time random walks with killin
Externí odkaz:
http://arxiv.org/abs/2211.14472
We obtain optimal estimates of the Poincar\'e constant of central balls on manifolds with finitely many ends. Surprisingly enough, the Poincar\'e constant is determined by the second largest end. The proof is based on the argument by Kusuoka-Stroock
Externí odkaz:
http://arxiv.org/abs/2205.06100
In this survey article, we discuss some recent progress on geometric analysis on manifold with ends. In the final section, we construct manifolds with ends with oscillating volume functions which may turn out to have a different heat kernel estimates
Externí odkaz:
http://arxiv.org/abs/2007.15834
Publikováno v:
Potential Analysis 55 (2021), 127-166
In the present paper, as a continuation of our preceding paper [10], we study another kind of central limit theorems (CLTs) for non-symmetric random walks on nilpotent covering graphs from a viewpoint of discrete geometric analysis developed by Kotan
Externí odkaz:
http://arxiv.org/abs/1808.08856
We obtain matching two sided estimates of the heat kernel on a connected sum of parabolic manifolds, each of them satisfying the Li-Yau estimate. The key result is the on-diagonal upper bound of the heat kernel at a central point. Contrary to the non
Externí odkaz:
http://arxiv.org/abs/1608.01596
In the present paper, we study long time asymptotics of non-symmetric random walks on crystal lattices from a view point of discrete geometric analysis due to Kotani and Sunada [11, 23]. We observe that the Euclidean metric associated with the standa
Externí odkaz:
http://arxiv.org/abs/1510.05102
Autor:
Ishiwata, Satoshi, Kawabi, Hiroshi
Publikováno v:
Mathematische Annalen; Oct2024, Vol. 390 Issue 2, p2459-2495, 37p
Autor:
Ishiwata, Satoshi.
Thesis (Ph. D.)--Tohoku University, 2004.
"June 2004." Includes bibliographical references (p. 69-72).
"June 2004." Includes bibliographical references (p. 69-72).
Externí odkaz:
http://catalog.hathitrust.org/api/volumes/oclc/57586307.html
In the present paper, we study an explicit effect of non-symmetry on asymptotics of the $n$-step transition probability as $n\rightarrow \infty$ for a class of non-symmetric random walks on the triangular lattice. Realizing the triangular lattice int
Externí odkaz:
http://arxiv.org/abs/1210.7989
Publikováno v:
In Journal de mathématiques pures et appliquées May 2018 113:155-194