Programme/Program

International Conference: 2000: November 27 - December 1.

International Center for Mathematical Modeling
[in physics, technique and cognitive sciences],
Vaxjo University, Sweden,

Organizing committee:
L. Accardi (Rome, Italy),
W. De Muynck (Eindhoven, the Netherlands),
T. Hida (Meijo University, Japan),
A. Khrennikov (Växjö University, Sweden),
V. Maximov(Belostok, Poland).

Invited Speakers:
S. Albeverio (Bonn, Germany),
H. Atmanspacher (Freiburg, Germany),
L. Ballentine (Burnaby, Canada),
J. Bricmont (Belgium),
A. Holevo (Moscow, Russia),
S. Gudder (Denver,U.S.A.),
T. Kolsrud (Stockholm, Sweden),
P. Lahti (Turku, Finland),
H. Narnhofer (Wien, Austria),
V. Serdobolskii (Moscow, Russia),
J. Summhammer (Wien, Austria) ,
O. Viskov (Moscow, Russia),
I. Volovich (Moscow, Russia).

The main aim of this Conference is to reconsider foundations of
probability theory in connection with foundations of physics (quantum as well as statistical).
The following problems will be discussed during the Conference:

A. Creation of the conventional probability theory (Kolmogorov's axiomatics, 1933).
1). Measure-theoretical approach (Borel, Kolmogorov, Frechet).
2). Frequency approach (von Mises, Ville, Tornier, Wald).
3). Others (Bayesian , comparative, negative, complex, nonstandard and p-adic probabilities). Is probability a measure or a frequency? A role of ergodicity. Why did
Kolmogorov's model become dominating in mathematics and physics?

B. Creation of probabilistic foundations of quantum mechanics.
Is quantum probability a measure, frequency, potentiality or degree of my belief?
The great diversity of opinions. Why do everybody use finally Kolmogorov's
measure-theoretical approach?

C. Probability in statistical physics.
The role of ergodicity. Individual and statistical ergodicity.

D. Einstein-Podolsky-Rosen paradox, Bell's inequality, locality, reality, probability.
1) Conventional probabilities and Bell's inequality (via Bell, Clauser, Horne, Shimony, Holt, Aspect, Home, Selleri, d'Espagnat, Fine, Rastal, Greenberger, Zeilinger,…).
2) Thermodynamical approach (via de Broglie, Lochak, de Muynck).
3) Quantum fluctuations, stochastic dynamics.
4). Von Mises frequency approach and Bell's inequality.
5). Fluctuating probabilities, modified Bell's inequality.
6). Quantum probabilities.
7). Negative probabilities .
8). p-adic probabilities; p-adic model of fluctuating reality.

E. Quantum computers and information and probability (foundations).

F. Paradoxes of probability theory (in particular, violations of the law of large numbers or ergodicity). Randomness, complexity and foundations of probability theory and physics.

Local organiser :
Prof. Andrei Khrennikov, Institute of Mathematics and System Engineering, S-35195, Växjö University, Sweden,

Abstract + application forms to:
Robert Nyqvist. E-mail: Robert.Nyqvist@msi.vxu.se (pay attention: new e-mailaddress).

It would be nice to get abstract: 1-5 pages, tex or latex until 15 September or at least 1 October. They will be distributed at the conference.

Application form: to 1 September, Name, Institute, fax, Email.

Org. Fee:
700 SEK (Swedish krona), to be paid on arrival (abstracts, social events).
Financial Support: Unfortunetely we could not consider applications for financial support. In some cases we can delete the org. Fee.

Proceedings:
At the moment Prof. T. Hida discuss the possibility to publish Proceedings of the conference as a volume of journal "Inf. Dim. Analysis and Quantum Probablity." If somebody can advice us some other variants it might be very useful.

Hotel:
Participants of the conference will stay in "Stadshotel " in Växjö. The special price: per night. 700 SEK (Swedish krona).

Another possibility more cheap hotel (also at the center of Växjö): "Varendshotel", 400 Kr. per night.

Please contact our secretary: Cecilia Eriksson, e-mail: Cecilia.Eriksson@msi.vxu.se. There is only a restricted number of rooms so please contact as soon as your plans will be clear.

Växjö University is a new university (1999) with near 14.000 students and a
new nice campus.

Location:
south/middle Sweden (Smaland); Lund: 2 h (train), Stockholm: 3,5 h (train), 25 min (air); Copenhagen: 3,5 h (train), 25 min (air).

Transportation:
There is international Airport in Vaxjo. It is possible to use two ways:
1) via Stockholm;
2) via Copenhagen.

It is also possible to arrive by train from Stockholm or Copenhagen.