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Trends in Infinite Dimensional Analysis and Quantum Probability Theory


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ŠúŠÔ: 2001”N11ŒŽ20“ú- 22“ú
êŠ: ‹ž“s‘åŠw”—‰ðÍŒ¤‹†Š(RIMS)
Œ¤‹†‘ã•\ŽÒ: ”ö”¨L–¾

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November 20 (Tue)
09:55-10:00 Opening
10:00-10:45Marek Bozejko (University of Wroclaw, Poland)
Generalized white noise associated with the characters of infinite symmetric group--Hopf--Kerov deformatiom
10:50--11:35“´ ²l Akihito Hora (‰ªŽR‘åŠwEŠÂ‹«—HŠw•” 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‹g“c—T—º Hiroaki Yoshida (‚¨’ƒ‚Ì…—Žq‘åŠwE—Šw•” Ochanomizu University)
A canonical random variable for the $q$-deformed moments--cumulants formula
13:45--14:30”ö”¨L–¾ Nobuaki Obata (“Œ–k‘åŠwEî•ñ‰ÈŠwŒ¤‹†‰È Tohoku University)
White noise differential equations@--- Introduction and prospects
14:35--15:05óˆä’¨G Nobuhiro Asai (‘Û‚“™Œ¤‹†Š IIAS)
Segal-Bargmann transforms associated with non-Gaussian measures
15:20--15:50‘º–Ø®•¶ Naofumi Muraki (ŠâŽèŒ§—§‘åŠwE‘‡­ôŠw•” Iwate Prefectural University)
On classification of universal notions of stochastic independence
15:55--16:40—é–Ø‘—Y Masuo Suzuki (“Œ‹ž—‰È‘åŠwE—Šw•” 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--11:20œA“‡•¶¶ Fumio Hiroshima (Û“ì‘åŠw Setsunan University)
Infinitesimal generators of unitary groups induced by Bogoliubov transformations on Fock spaces
11:30--12:15—LŒõ•q•F Toshihico Arimitsu (’}”g‘åŠwE•¨—ŠwŒn)
A system of stochastic differential equations with non-equilibrium thermo field dynamics
13:45--14:30¼ˆä ‘ì Taku Matsui (‹ãB‘åŠwE”—ŠwŒ¤‹†‰@ Kyushu University)
Bosonic central limit theorem for quantum spin chains and the time evolution of the algebra of fluctuation
14:35--15:20Vˆä’©—Y Asao Arai (–kŠC“¹‘åŠwE—ŠwŒ¤‹†‰È Hokkaido University)
Operator theory associated with an algebra
15:25--15:55–¾Îd’j Shigeo Akashi (VŠƒ‘åŠwE—Šw•” Niigata University)
Operator algebraic aspects of quantum information channel spaces
16:10--16:55Un Cig Ji (Chungbuk National University, Korea)
Fock space operator valued martingale convergence
17:00--17:45Habib Ouerdiane (University of Tunis El Manar, Tunisia)
Algebras of infinite dimensional holomorphic functions and application to probability
November 22 (Thu)
10:00--10:45Wojciech Mlotkowski (University of Wroclaw, Poland)
$\Lambda$-free probability
10:50--11:35–{˜a•F Kazuhiko Aomoto (–¼ŒÃ‰®‘åŠwE‘½Œ³”—‰ÈŠwŒ¤‹†‰È Nagoya University)
LR-transforms and densities for orthogonal polynomials (joint work with Masahiko Ito)
11:40--12:25ꎓ¡Œö–¾ Kimiaki Sait\^o (–¼é‘åŠwE—HŠw•” Meijo University)
Infinite dimensional analysis based on the L\'evy Laplacian (tentative)
13:45--14:30‰iŽRš º Kuniaki Nagayama (‰ªè‘—§‹¤“¯Œ¤‹†‹@\E“‡ƒoƒCƒIƒTƒCƒGƒ“ƒXƒZƒ“ƒ^[ Center for Integrative Bioscience)
Wave functions and complex observation in electron microscopy
14:35--15:05ˆÉ“Œ—R•¶ Yoshifumi Ito (“¿“‡‘åŠwE‘‡‰ÈŠw•” Tokushima University)
Variational principles and Schroedinger equations (ŠžŠÔŒ°½‚Ƃ̋¤“¯)
15:10--15:55•½ˆä • Takeshi Hirai (‹ž“s‘åŠw–¼—_‹³Žö Kyoto University)
On unitary representation of the infinite symmetric groups and of infinite classical groups over finite fields
15:55-16:00Closing


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