output
20022009
most citedInfinite-dimensional diffusions as limits of random walks on partitions

66 citations

Showing 2007Show all

6 papers · 1 filter

math.RT2007

On the symmetric square. Unstable Twisted Characters

Yuval Z. Flicker, Dmitrii Zinoviev

We provide a purely local computation of the (elliptic) twisted (by "transpose-inverse") character of the representation π=I(\1) of PGL(3) over a p-adic field induced from the triv…

math.CO2007

On orbits of antichains of positive roots

Dmitri I. Panyushev

For any finite poset P, there is a natural operator acting on the antichains of P. We discuss conjectural properties of this operator for some graded posets associated with irr…

math.AP20077 cited

Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation

Alexander Komech, Andrew Komech

We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that…

math.PR200766 cited

Infinite-dimensional diffusions as limits of random walks on partitions

Alexei Borodin, Grigori Olshanski

The present paper originated from our previous study of the problem of harmonic analysis on the infinite symmetric group. This problem leads to a family {P_z} of probability measur…

math.RT200710 cited

Cherednik algebras for algebraic curves

Michael Finkelberg, Victor Ginzburg

For any smooth algebraic curve C, Pavel Etingof introduced a `global' Cherednik algebra as a natural deformation of the cross product of the algebra of differential operators on C^…

cond-mat.stat-mech200710 cited

Lower Spectral Branches of a Spin-Boson Model

Nicolae Angelescu, Robert Minlos, Jean Ruiz +1

We study the structure of the spectrum of a two-level quantum system weakly coupled to a boson field (spin-boson model). Our analysis allows to avoid the cutoff in the number of bo…