IDAQP Sendai Seminar
June 24-25, (2010) Graduate School of Information Sciences
June 24 (Thu) 8F Small Lecture Hall
AM Free discussion on reserach projects
PM Lectures and Discussion
- 13:30-14:30 Un Cig Ji (Chungbuk National University)
Quantum Girsanov theorem
- 14:40-15:30 Song Liang (Tsukuba University)
One massive particle in a Brownian wave field
- 15:40-16:30 Takahiro Hasebe (Kyoto University)
Unification of free, Boolean, monotone and anti-monotone independences via three states
June 25 (Fri) 3F Small Lecture Hall
AM Free discussion on research projects
PM Lectures and Discussion
- 13:30-14:30 Jaeseong Heo (Hanyang University)
KSGNS construction and Radon-Nikodym theorem associated with ?-completely positive maps
- 14:40-15:30 Kimiaki Saito (Meijo University)
Exotic Laplacians and higher order derivatives of white noise
- 15:40-16:30 Taku Matsui (Kyushu University)
Factorization lemmas of Hasting and area law of quantum spin chains
- 16:40-17:10 Nobuaki Obata (Tohoku University)
One-mode interacting Fock spaces and random walks
GCOE-CREST Lectures
A Gentle Introduction to Random Graph Theory
Tomasz Luczak
(Emory University, Atlanta and Adam Mickiewicz University, Poznan)
January 20 (Wed), 2010 15:00-17:30
January 22 (Fri), 2010 15:00-17:30
Kawai Hall, Graduate School of Mathematics, Tohoku University
Abstract for the series:
For the last twenty year random graph theory
is one of the most rapidly evolving parts
of combinatorics with many applications to
graph theory, computer science, discrete geometry
and combinatorial number theory.
In this short series of lectures
we give a very brief introduction to
results and methods of this important
area of discrete mathematics.
Lecture 1: Random graph theory: basic definitions and methods.
In this lecture we introduce the notion of a random graph
and the random graph process and present some
basic methods used to study this objects (the first moment
method, the method of moments).
Lecture 2: The phase transition
We describe one of the most spectacular phenomenon
in the evolution of the random graph -- the phase transition
-- and explain how to study the critical behavior using
branching processes.
Lecture 3: Martingales and the differential equations approach
We recall Azuma's inequality for martingales,
and its use in random graph theory. We show how to use
it to attack some of the problems which emerged in the first
two lectures.
Lecture 4: Large deviation inequalities
We describe some other large deviation inequalities
used in random graph theory
and discuss its advantages and limitations.
2009年9月8日-10日 セミナー講演と研究討論(711 セミナー室)
(1) 話題提供者: Un Cig Ji (Chungbuk National University)
主な話題:Quantum White Noise Derivatives
(2) 話題提供者: Hun Hee Lee (Chungbuk National University)
主な話題:Operator Khintchin Inequalities
時間割
8日(火)1300-1500 Ji
8日(火)1500-1700 Lee
9日(水)1400-1500 Ji
9日(水)1500-1700 Lee
10日(木)1000-1100 Ji
9月11-12日は
第9回仙台ワークショップ「無限次元解析と量子確率」を開催します。
連続講義・特別講演・セミナーなどは、特別な断りがない限り、
東北大学大学院情報科学研究科棟で開催します。
青葉山キャンパスマップをご覧ください。
研究会活動記録 Archives of Research Activities