7-th Volterra-CIRM International School
Quantum Probability and Spectral Analysis
on Large Graphs
Levico (Trento), Italy, 19 (evening: arrival)-25 (lunch time: departure) September 2004
with the
sponsorship of
European
Network: QP-Applications
International
Association for Quantum Probability and Infinite Dimensional Analysis
The goal of
the school is to discuss the asymptotics of large graphs its applications
to quantum
physics and
to other problems, its connection with other fields of mathematics such
as quantum
groups, co-algebras,
...
Emphasis
will be on the motivation of the problems and to the use of recently developed
quantum
probabilistic
techniques, in particular the theory of interacting Fock spaces, in the
asymptotic
estimate
of the spectrum of the adjacency matrix of large graphs, the possibility
of associating
co-products
to certain classes of graphs, the connections between graphs and various
forms of
stochastic
independence.
The level
of the lectures will be suitable for graduate or postgraduate students
in physics,
mathematics,
information theory..
Among the
lecturers:
1) Luigi
Accardi, Università di Roma "Tor Vergata"
"Monotone
independence, comb graphs and Bose-Einstein condensation"
2) Raffaella
Burioni, Università di Parma
"Spectral
dimension and geometrical universality on graphs"
3) Akihito
Hora, Okayama University
"Johnson's
graphs and Meixner polynomials"
4) Motoko
Kotani, Tohoku University
"Large
deviation of random walks and geometry"
"Spectral
analysis of transition operators with magnetic potential"
5) Romuald
Lenczewski, Wroclaw University
"Coproducts
canonically associated to graphs and trees"
6) Taku
Matsui, Kyushu University
"Quantum
spin Hamiltonians regarded as elliptic operators on certain graphs"
7) Nobuaki
Obata, Tohoku University
"Interacting
Fock spaces and the spectrum of the adjacency matrix of large graphs"
8) Tomoyuki
Shirai, Kyushu University
Title to
be announced
9) Aidan
Sims, University of Newcastle (Australia)
"Graph
C*-algebras"
10) Pasquale
Sodano, Università di Perugia
"Emergence
(and stability) of Bose Einstein condensates on inhomogeneous networks"
11) Alessandro
Vezzani, Università di Parma
"Spectra
of graphs and Bose Einstein condensation on inhomogeneous discrete structures
"
Additional seminars will be announced later.
General
Information
The school
will be held at Grand Hotel Bellavista in Levico Terme, 20 km. far from
Trento. In the heart of the great itineraries between Venice-Verona and
Bolzano-Innsbruck, Trento is a Renaissance town in the Alps. Roman town
and bridge between the Italian and European culture, Trento shows in its
beautiful monuments (the Castle Buonconsiglio, the Duomo, the houses decorated
by frescoes) the Renaissance influence, inherited by the Prince Bishops,
who ruled the town for eight centuries and made of Trento the seat of the
XIX Ecumenical Council during the 16th century.
The conference
fee is 400,00 Eur (US $ 486,52). The fee will cover expenses on a
full board
basis (night,
breakfast, lunch, coffee breaks and dinner) in double accommodation (100,00
Eur
addition
for single accommodation) and the social trip on Wednesday afternoon.
It also includes
the lecture notes of the main lectures and of the seminars and the right
to become
a member
of the QP-IDA Association and of receiving the Journal "Infinite Dimensional
Analysis,
Quantum Probability
and Related Topics" for the year 2005.
Bus transportation
will be provided from Trento railway station to the conference site
on
Sunday, September
19, at 20:30, and back to Trento railway station on Saturday, September
25.
The deadline
for registration is: September 10, 2004.
A restricted number of grants for financial support of either living or (in truly exceptional cases) travel expenses are available. The assignment of these grants will be decided by September 10.
Those interested to apply for such a grant should send via e-mail the Application form to: