Infinite dimensional analysis and quantum probability

RIMS, Kyoto University

November 20 - 22

November 20 (Tue)

10:00-10:45 Marek Bozejko (University of Wroclaw, Poland)

Generalized white noise associated with the characters of infinite symmetric group--Hopf--Kerov deformatiom

10:50--11:35 Akihito Hora (Okayama University)

Central limit theorem for Johnson graphs and a coherent vector in the interacting Fock space of Laguerre--Meixner type (with N. Obata)

11:40--12:25 Hiroaki Yoshida (Ochanomizu University)

A canonical random variable for the $q$-deformed moments--cumulants formula

13:45--14:30 Nobuaki Obata (Tohoku University)

White noise differential equationsĦĦ--- Introduction and prospects

14:35--15:05 Nobuhiro Asai (IIAS)

Segal-Bargmann transforms associated with non-Gaussian measures

15:20--15:50 Naofumi Muraki (Iwate Prefectural University)

On classification of universal notions of stochastic independence

15:55--16:40 Masuo Suzuki (Science University of Tokyo)

Thermo quantum dynamics in the thermodynamic limit ($N\rightarrow\infty$)

November 21 (Wed)

10:00--10:45 Janusz Wysoczanski (University of Wroc\l aw, Poland)

Unitary representations for twisted products of quantum groups

10:50--11:20 Fumio Hiroshima (Setsunan University)

Infinitesimal generators of unitary groups induced by Bogoliubov transformations on Fock spaces

11:30--12:15 Toshihico Arimitsu (Tsukuba University)

A system of stochastic differential equations with non-equilibrium thermo field dynamics

13:45--14:30 Taku Matsui (Kyushu University)

Bosonic central limit theorem for quantum spin chains and the time evolution of the algebra of fluctuation

14:35--15:20 Asao Arai (Hokkaido University)

Operator theory associated with an algebra

15:25--15:55 Shigeo Akashi (Niigata University)

Operator algebraic aspects of quantum information channel spaces

16:10--16:55 Un Cig Ji (Chungbuk National University, Korea)

Fock space operator valued martingale convergence

17:00--17:45 Habib Ouerdiane (University of Tunis El Manar, Tunisia)

Algebras of infinite dimensional holomorphic functions and application to probability

November 22 (Thu)

10:00--10:45 Wojciech Mlotkowski (University of Wroclaw, Poland)

$\Lambda$-free probability

10:50--11:35 Kazuhiko Aomoto (Nagoya University)

LR-transforms and densities for orthogonal polynomials (joint work with Masahiko Ito)

11:40--12:25 Kimiaki Sait\^o (Meijo University)

Infinite dimensional analysis based on the L\'evy Laplacian (tentative)

13:45--14:30 Kuniaki Nagayama (NIPS)

Wave functions and complex observation in electron microscopy

14:35--15:05 Yoshifumi Ito (Tokushima University)

Variational principles and Schroedinger equations

15:10--15:55 Takeshi Hirai (Kyoto University)

On unitary representation of the infinite symmetric groups and of infinite classical groups over finite fields