ID | 53045 |
フルテキストURL | |
著者 |
Ishiwata, Satoshi
Department of Mathematical Sciences, Faculty of Science Yamagata University
Kawabi, Hiroshi
Department of Mathematics, Faculty of Science Okayama University
Kaken ID
publons
researchmap
Teruya, Tsubasa
The Okinawa Kaiho Bank, Ltd.
|
抄録 | In the present paper, we study an explicit effect of non-symmetry on asymptotics of the n-step transition probability as n → ∞
for a class of non-symmetric random walks on the triangular lattice. Realizing the triangular lattice into R2 appropriately, we observe that the
Euclidean distance in R2 naturally appears in the asymptotics. We characterize this realization from a geometric view point of Kotani-Sunada’s
standard realization of crystal lattices. As a corollary of the main theorem, we obtain that the transition semigroup generated by the non-symmetric random walk approximates the heat semigroup generated by
the usual Brownian motion on R2.
|
キーワード | Non-symmetric random walk
asymptotic expansion
triangular lattice
standard realization
|
発行日 | 2015-01
|
出版物タイトル |
Mathematical Journal of Okayama University
|
巻 | 57巻
|
号 | 1号
|
出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
開始ページ | 129
|
終了ページ | 148
|
ISSN | 0030-1566
|
NCID | AA00723502
|
資料タイプ |
学術雑誌論文
|
言語 |
英語
|
著作権者 | Copyright©2015 by the Editorial Board of Mathematical Journal of Okayama University
|
論文のバージョン | publisher
|
査読 |
有り
|
Submission Path | mjou/vol57/iss1/8
|
JaLCDOI |