RIMS Workshop
Mathematical Studies
on
Independence and Dependence Structure
−Algebra meets Probability−
December 19−21, 2011
Research Institute for Mathematical Sciences, Room 111
Kyoto University
Program (tentative)
December 19 (Mon)
9:40− 9:50 Opening
9:50−10:40 Hiroshi
Nagaoka（The
University of Electro-Communications）
On a large deviation problem concerning quantum
hypothesis testing
10:50−11:40 Kazuya Okamura (Kyoto University)
The Quantum Relative Entropy and Statistical Inference
−Hypothesis Testing and Model Selection−
13:30−14:10 Hiroaki Yoshida (Ochanomizu University)
An integral representation of the relative free entropy
14:10−14:50 Nobuaki Obata（Tohoku University）
Quantum Probabilistic Spectral Analysis of Graphs
15:10−16:40 Yasuo Narukawa (Tokyo Institute of Technology)
Fuzzy measure and integral on multi sets
16:40−16:10 Kei Zembayashi (Koen Girls' School）
Converegence theorems for equilibrium problems in Banach spaces
16:10−16:40 Naofumi Muraki (Iwate Prefectural University)
On a q-interpolation betweeen free independence and classical
independence
December 20 (Tue)
9:30−10:10 Ichiro Fujimoto, Hideo Miyata（Kanazawa Institute of Technology）
Quantization of information theory
10:10−10:50 Motoya Machida (Tennessee Technological University)
Positive definiteness and Frechet bounds in capacities
11:00−11:40 Jun Kawabe (Shinshu University)
Metrizability of weak convergence of nonadditive measures
13:30−14:10 Takahiro Hasebe（Kyoto University）
Free independence and its generalization
14:10−14:50 Izumi Ojima (Kyoto University)
How to Unify Interactions?
− Independence and Dependence in Physics
15:10−16:00 Marek Bozejko（Wroclaw University）
Non-commutative Fock spaces with applications to constructions
of new models of non-commutative probability
16:10−17:00 Benoit Collins (University of Ottawa and
RIMS)
Applications
of free probability to quantum information theory
December 21 (Wed)
9:30−10:00 Fumiaki Kohsaka (Oita University)
On fixed points of firmly nonexpansive-type mappings in Banach spaces
10:00−10:30 Koji Aoyama（Chiba University）
Fixed point and ergodic theorems for hybrid mappings
10:50−11:40 Mamoru Kaneko（University
of Tsukuba）
Game Theoretical Decision Making: Logical
Inference and Free-Will
13:30−14:10 Hayato Saigo（Nagahama Institute of Bio-science and Technology）
Arcsine law and ``Quantum-Classical correspondence''
14:10−15:00 Jiun-Chau Wang (University of Saskatchewan)
Strict Limit Types for Monotone Convolution
15:20−16:00 Marie Choda (Osaka Kyoiku University)
A representation of unital completely positive maps
16:00−16:40 Kenjiro Yanagi, Satoshi Kajiwara（Yamaguchi University）
Generalized uncertainty relation associated with
a monotone or an anti-monotone pair skew information