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4 papers · 1 filter
Non-differentiable variational principles
Jacky Cresson
We develop a calculus of variations for functionals which are defined on a set of non differentiable curves. We first extend the classical differential calculus in a quantum calcul…
Vibron-polaron critical localization in a finite size molecular nanowire
Cyril Falvo, Vincent J. C. Pouthier
The small polaron theory is applied to describe the vibron dynamics in an adsorbed nanowire with a special emphasis onto finite size effects. It is shown that the finite size of th…
Asymptotic and Lyapunov stability of Poisson equilibria
Juan-Pablo Ortega, Víctor Planas-Bielsa, Tudor S. Ratiu
This paper includes results centered around three topics, all of them related with the nonlinear stability of equilibria in Poisson dynamical systems. Firstly, we prove an energy-C…
Quasi-isolated elements in reductive groups
Cédric Bonnafé
A semisimple element of a connected reductive group is said {\it quasi-isolated} (respectively {\it isolated}) if (respectively ) is not contained in a L…