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32 papers · 1 filter
Sous-groupes paraboliques et representations de groupes branches
Laurent Bartholdi, Rostislav I. Grigorchuk
Let G be a branch group (as defined by Grigorchuk) acting on a tree T. A parabolic subgroup P is the stabiliser of an infinite geodesic ray in T. We denote by the associa…
Spectra of non-commutative dynamical systems and graphs related to fractal groups
Laurent Bartholdi, Rostislav I. Grigorchuk
We study spectra of noncommutative dynamical systems, representations of fractal groups, and regular graphs. We explicitly compute these spectra for five examples of groups acting…
A practical gauge invariant regularization of the SO(10) grand unified model
M. M. Deminov, A. A. Slavnov
It is shown that a simple modification of the dimensional regularization allows to compute in a consistent and gauge invariant way any diagram with less than four loops in the SO(1…
Singularities of the Seiberg-Witten map
Andrei G. Bytsko
We construct an explicit solution of the Seiberg-Witten map for a linear gauge field on the non-commutative plane. We observe that this solution as well as the solution for a const…
On the asymptotic expansion of the solutions of the separated nonlinear Schroedinger equation
A. A. Kapaev, V. E. Korepin
Nonlinear Schrödinger equation (with the Schwarzian initial data) is important in nonlinear optics, Bose condensation and in the theory of strongly correlated electrons. The asympt…
Propagation and interaction of shock waves of quasilinear equation
Vladimir G. Danilov, Vladimir M. Shelkovich
We propose a new regularization method for constructing a shock wave type solution with nonsmooth front (interaction of shock waves) for quasilinear equations in the one-dimensiona…