立命館大学数理科学科

• Date : 21 Oct. (Thu.)
• Place: W.W. 6th-floor, Colloquium Room
• Time : 16:30-18:00
• Speaker:  Naotaka Kajino(Kobe University)
• Title: 多重Dynkin-Hunt公式による拡散過程の熱核の上方評価とLiouville Brown運動への応用

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• Date : 14 Jul. (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time : 16:30-18:00
• Speaker:  Laurent Denis (Universite de Mans)
• Title: Chaotic extensions and the lent particle method for Brownian motion

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• Date : 7 Jul. (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time : 16:30-18:00
• Speaker: Yuuki Ida (Ritsumeikan University) 
• Title: Generalized Reflection Principle for SABR model

日時： 6月23日(木) 
場所： 立命館大学 BKC ウエストウイング6階 談話会室
時間： 17:30 — 18:30
講演者： Mouez Dimassi 氏（ボルドー大学・立命館大学）

講演題目： Semiclassical Trace Formula for Systems of h-Pseudodifferential Operators and Application to the Spectral Shift Function

アブストラクト： In this talk we give a microlocal trace formula for a system of h-pseudodiifferential operators.
We apply this trace formula to the asymptotic of the counting function of the number of eigenvalues and to the asymptotics of the spectral shift function of the semiclassical Schrödinger operator with matrix valued potential.
Our proofs are based  on a time independent method.

This a joint work with S. Fujiié  and M. Assal.

• Date : 16 Jun. (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time : 16:30-18:00
• Speaker: Dai Taguchi (Ritsumeikan University)
• Title: Weak rate of convergence for the Euler-Maruyama scheme with fractional differential drift

• Date: 7 Jun. (Tue.)
• Place: W.W. 7th-floor, Colloquium Room
• Time : 13:00-16:10
• Speaker: Jim Pitman (University of California, Berkeley),  
• Speaker: Lancelot James (Hong Kong University of Science and Technology)

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「Brownian Motions and Stochastic Processes」
　–Conference in memory of Marc Yor–

期間：2016年6月3日(金）～5日(日）
場所：立命館大学びわこくさつキャンパス　ウエストウイング6階　談話会室
詳細はこちら

• Date: 19 May (Thu.)
• Place: W.W. 7th-floor, 4th lab.
• Time: 16:30-18:00
• Speaker: Takafumi Amaba
• Title: Refining knowledge of Skorokhod integral

日時： 5月27日(金) 
場所： 立命館大学 BKC フォレストハウス1階 F105
時間： 16:30 — 18:00
講演者： 尾張 圭太 氏（立命館大学）, 多羅間 大輔 氏（立命館大学）
1. 16:30-17:10
講演者： 尾張 圭太 氏（立命館大学）

講演題目： On Convex Functions on Orlicz Spaces with $\Delta_2$-Conjugates

アブストラクト： We show that in an Orlicz space \(L^\Phi\) with the conjugate Young function \(\Psi\) being \(\Delta_2\) (so \(L^\Phi\) is the dual of \(L^\Psi\)), a proper convex function has a \(\langle L^\Phi,L^\Psi\rangle\)-dual representation iff it is order lower semicontinuous; more precisely, a convex set \(C\subset L^\Phi\) is \(\sigma(L^\Phi,L^\Psi)\)-closed iff for each order interval \([-\eta,\eta]=\{\xi:-\eta\leq \xi\leq \eta\}\) (\(0\leq \eta\in L^\Phi\)), the intersection \(C\cap [-\eta,\eta]\) is closed in \(L^0\). The result is based on the following technical lemma: for any norm bounded sequence \((\xi_n)_n\) in \(L^\Phi\) which converges in probability to \(0\), there exist forward convex combinations \(\zeta_n\in \mathrm{conv}(\xi_n,\xi_{n+1},…)\) as well as an element \(\eta\in L^\Phi_+\) such that \(\zeta_n\rightarrow 0\) and \(|\zeta_n|\leq \eta\). We show also that a finite-valued convex function on \(L^\Phi\) is \(\tau(L^\Phi,L^\Psi)\)-continuous iff it is sequentially \(\tau(L^\Phi,L^\Psi)\)-continuous on order intervals, and the condition is equivalent to the order continuity of the function.

This is a Joint work with Freddy Delbaen (ETH Zürich and Univ. Zürich).

2. 17:20-18:00
講演者： 多羅間 大輔 氏（立命館大学）
講演題目： 自由剛体に付随する楕円ファイバー空間