421 citations
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19 papers · 1 filter
Decision Problems for Recognizable Languages of Infinite Pictures
Olivier Finkel
Altenbernd, Thomas and Wöhrle have considered in [ATW02] acceptance of languages of infinite two-dimensional words (infinite pictures) by finite tiling systems, with the usual acce…
Self-similar asymptotics of solutions to the Navier-Stokes system in two dimensional exterior domain
Dragoş Iftimie, Grzegorz Karch, Christophe Lacave
We consider the 2D incompressible Navier-Stokes equations with Dirichlet boundary condition in the exterior of one obstacle. Assuming that the circulation at infinity of the veloci…
Knot state asymptotics I, AJ Conjecture and abelian representations
Laurent Charles, Julien Marche
Consider the Chern-Simons topological quantum field theory with gauge group SU(2) and level k. Given a knot in the 3-sphere, this theory associates to the knot exterior an element…
Trace Fields of Subgroups of SU(n,1))
Juliette Genzmer
In this note, we study the field generated by the traces of subgroups of SU(n,1). Under some hypotheses, the trace field of a group SU(2,1) is equal to the field generat…
Classical Bethe Ansatz and Normal Forms in the Jaynes-Cummings Model
O. Babelon, B. Doucot
The Jaynes-Cummings-Gaudin model describes a collection of spins coupled to an harmonic oscillator. It is known to be integrable, so one can define a moment map which associate…
Multisymplectic formalism and the covariant phase
Frédéric Hélein
The formulation of a relativistic dynamical problem as a system of Hamilton equations by respecting the principles of Relativity is a delicate task, because in their classical form…