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<span style="font-family:Calibri,Arial,Helvetica,sans-serif,serif,EmojiFont; font-size:12pt">各位</span>
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<div>（当メールを重複受信された際はご容赦ください）</div>
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<div>立命館大学数理科学科に所属しております多羅間大輔と申します．</div>
<div>下記の通り，4月23日（金）に立命館大学幾何学セミナーがZoom配信にて行われますので，お知らせいたします．</div>
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<div>参加には事前登録が必要ですので，4月22日（木）までに下記のURLよりご登録ください．</div>
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<div>どうぞよろしくお願いいたします．</div>
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<div>多羅間 大輔</div>
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<div>記</div>
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<div><<立命館大学幾何学セミナー>>
<div>日時：2021年4月23日（金） 16:30～18:00</div>
<div>タイトル：Long-time asymptotics of random walks on covering graphs with groups of polynomial volume growth</div>
<div>講演者：難波 隆弥（立命館大学）</div>
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<div>We discuss central limit theorems (CLTs) for non-symmetric random walks on covering graphs of finite graphs whose covering transformation groups are groups of polynomial volume growth. By realizing the covering graph into a certain nilpotent Lie group
through a discrete harmonic map, we show that the limiting semigroup is generated by the sub-Laplacian with a non-trivial linear drift on the nilpotent Lie group equipped with the Albanese metric. Furthermore, under the centered condition, we establish a functional
CLT (i.e., Donsker-type invariance principle) in a Hölder space over the nilpotent Lie group by employing the theory of rough paths. As a refinement of the CLT, we also establish the Edgeworth expansion of the random walk even if the random walk is non-symmetric.
A part of this talk is based on joint work with Satoshi Ishiwata (Yamagata) and Hiroshi Kawabi (Keio). </div>
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<div>開催方法：Zoom配信での開催です．次のリンクより4月22日（木）までにご登録ください：</div>
<div>https://ritsumei-ac-jp.zoom.us/meeting/register/tJErc--hrT8jHtIcwzIJ4pz2TRV5BVm-e-AJ<br>
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<div>セミナー当日，ミーティング参加に関する情報の確認メールが届きます．<br>
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<div>問い合わせ先：立命館大学理工学部数理科学科</div>
<div> 多羅間 大輔</div>
dtarama [at] fc.ritsumei.ac.jp</div>
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<div>************************************<br>
Daisuke TARAMA<br>
Department of Mathematical Sciences<br>
Ritsumeikan University<br>
Address: 1-1-1 Nojihigashi,<br>
Kusatsu, Shiga, 525-8577, Japan<br>
Office: West Wing (WW) 606<br>
E-mail: dtarama [at] fc.ritsumei.ac.jp<br>
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