St. Petersburg Seminar
on Representation Theory and Dynamical Systems
Wednesday, 17 PM, room 311 , PDMI, Fontanka
Former talks in 2008:
Session in honor of A.M.Vershik's 75th anniversary
T.Nagnibeda. Dynamics of sand heaps on self-similar graphs.
A.Malyutin. Boundaries of the braid group.
A.Lodkin. Phyllotaxis and related problems.
M.Gordin. How one can see mixing.
Yu.Yakubovich. Ergodicity of some measures on partitions.
A.Gorbulsky. Vershik's scaling and secondary entropies: similarity and
F.Petrov. On embeddings of metric spaces into normed spaces.
E.Goryachko. The K_0 functor and characters of the group of rational
rearrangements of the segment.
Session dedicated to the memory of A.N.Livshits
1. A.M.Vershik. On the mathematical activity of A.N.Livshits.
2. A.M.Vershik. The number-theoretic version of the Morse
3. M.I.Gordin. Cohomology of dynamical systems: around Livshits' theory.
Infinite-dimensional diffusions on the Kingman simplex
Deformed Calogero-Moser systems as restrictions of
infinite-dimensional classical systems of the same type
Sergei Nechaev (LPTMS, Orsay and Lebedev Physical Institute,
Geometry and statistics of growth models
B.Granovsky (Technion, Haifa)
Meinardus theorem on weighted partitions: Extensions and a
The number $c_n$ of weighted partitions of an integer $n$ with
parameters (weights) $b_k$, $k\geq 1$, is given by the generating
Meinardus (1954) established his famous asymptotic formula for $c_n$,
as $n\to \infty$, under three conditions on power and Dirichlet
generating functions for $b_k$. We give a probabilistic proof of
Meinardus' theorem with weakened third condition and extend the
resulting version of the theorem from weighted partitions
to other two classic types of decomposable combinatorial
structures, which are called assemblies and selections.
This is a joint work with Dudley Stark(Queen Mary College, London)
and Michael Erlihson (Technion, Haifa).
Invariant integration in spaces of discrete measures and
Discretization of the algebra of differential forms on a manifold
and topological quantum field theory
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