RIMS workshop on
information and mathematics of non-additivity and non-extensivity:
contacts with nonlinearity and non-commutativity

Cosponsor: 21st Century COE Program “Creation of Agent-Based Social Systems Sciences” (ABSSS)
Date: August 13 - 15, 2007
Venue: Room 115, Research Institute of Mathematical Sciences (RIMS), Kyoto University
Language:  Japanese, English
Contact: Toshiaki MUROFUSHI (Tokyo Tech, Japan)
rims "at mark " fz "dot" dis "dot" titech "dot" ac "dot" jp ("at mark" → @ ) ( "dot" → . )

Program   PDF
Aug. 13, Mon.
13:45 – 14:15  Hiroki Suyari (Chiba Univ.)
“On the generalized code tree derived from the generalized Shannon additivity for Tsallis entropy”
14:15 – 14:45  Kenjiro Yanagi (Yamaguchi Univ.), Shigeru Furuichi (Tokyo Univ. of Sci. in Yamaguchi), Ken Kuriyama (Yamaguchi Univ.)
“On some inequalities related to generalized skew information”
15:00 – 15:30  Jun Ichi Fujii (Osaka Kyoiku Univ.)
“On a probability distribution of a binomial type generated by a mean”
15:30 – 16:00  Aoi Honda, Yoshiaki Okazaki (Kyushu Inst. of Tech.), Hiroshi Sato (Kyushu Univ.)
“A new characterization of  p-space”
16:00 – 16:30  Kakuzo Iwamura (Josai Univ.), Lixing Yang (Beijing Jiaotong Univ., China), Makoto Horiike (Teikyo Univ.)
“λ Credibility”
Aug. 14, Tue.
9:40 – 10:10  Motoya Machida (Tennessee Tech. Univ., U.S.A.)
“Set-valued duality for finite-state Markov chains”
10:10 – 10:40  Jun Kawabe, Yuya Hasebe (Shinshu University)
“Strassen's marginal problems for vector valued-measures—a short survey”
10:55 – 11:25  Alexander Shibakov (Tennessee Tech. Univ., U.S.A.)
“On the existence of bivariate kernel with given marginal Markov kernels”
11:25 – 11:55  Koji Aoyama (Chiba Univ.)
“Approximation of common fixed points of a family of nonexpansive mappings in a Banach space”
13:15 – 13:45  Sachiko Atsushiba (Shibaura Inst. of Tech.)
“Convergence of approximated sequences for nonlinear operators in Banach spaces”
13:45 – 14:15  Wataru Takahashi (Tokyo Tech)
“Existence theorems and convergence theorems for nonlinear monotone operators”
14:15 – 14:45  Takanori Ibaraki (Nagoya Univ.), Wataru Takahashi (Tokyo Tech)
“Weak convergence theorem for new nonexpansive mappings in Banach spaces and feasibility problems”
15:00 – 15:30  Toshiaki Murofushi (Tokyo Tech), Katsushige Fujimoto (Fukushima Univ.), Yoshinari Sawata (Tokyo Tech)
“Additive indecomposability of submodular set functions and its generalization”
15:30 – 16:00  Yasuo Narukawa (Toho Gakuen), Vicenç Torra (IIIA-CSIC, Spain)
“Multidimensional fuzzy integral and its applications”
16:00 – 17:00  Special Lecture
Michel Grabisch (Université Paris I Panthéon-Sorbonne, France)
“On the vertices of the k-additive core”
The core of a game v on N, which is the set of additive games φ dominating v such that φ(N)=v(N), is a central notion in cooperative game theory, decision making and in combinatorics, where it is related to submodular functions, matroids and the greedy algorithm. In many cases however, the core is empty, and alternative solutions have to be found. We define the k-additive core by replacing additive games by k-additive games in the definition of the core, where k-additive games are those games whose Möbius transform vanishes for subsets of more than k elements. For a sufficiently high value of k, the k-additive core is nonempty, and is a convex closed polyhedron. Our aim is to establish results similar to the classical results of Shapley and Ichiishi on the core of convex games (corresponds to Edmonds' theorem for the greedy algorithm), which characterize the vertices of the core.
Aug. 15, Wed.
9:40 – 10:10  Akira Igarashi
“On double slits in the quantum theory”
10:10 – 10:40  Akira Igarashi
“On a probabilistic interpretation in the quantum theory”
10:55 – 11:25  Ichiro Fujimoto, Hideo Miyata (Kanazawa Inst. of Tech.)
“Operational structure of entangled quantum systems”
11:25 – 11:55  Takahiro Hayashida, Noboru Watanabe (Tokyo Univ. of Sci.)
“On construction of computational circuit based on quantum logical gates”