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9 papers · 2 filters
On the Lévy-Leblond-Newton equation and its symmetries: a geometric view
Serge Lazzarini, Loïc Marsot
The Lévy-Leblond-Newton (LLN) equation for non-relativistic fermions with a gravitational self-interaction is reformulated within the framework of a Bargmann structure over a $(n+1…
Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide
Philippe Briet, Jaroslav Dittrich, David Krejcirik
Quantum waveguide with the shape of planar infinite straight strip and combined Dirichlet and Neumann boundary conditions on the opposite half-lines of the boundary is considered.…
Revisiting Horn's Problem
Robert Coquereaux, Colin McSwiggen, Jean-Bernard Zuber
We review recent progress on Horn's problem, which asks for a description of the possible eigenspectra of the sum of two matrices with known eigenvalues. After revisiting the class…
A Detailed Fluctuation Theorem for Heat Fluxes in Harmonic Networks out of Thermal Equilibrium
Mondher Damak, Mayssa Hammami, Claude-Alain Pillet
We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study…
Cartan Connections and Atiyah Lie Algebroids
Jeremy Attard, Jordan François, Serge Lazzarini +1
This work extends previous developments carried out by some of the authors on Ehresmann connections on Atiyah Lie algebroids. In this paper, we study Cartan connections in a framew…
On Horn's Problem and its Volume Function
Robert Coquereaux, Colin McSwiggen, Jean-Bernard Zuber
We consider an extended version of Horn's problem: given two orbits and of a linear representation of a compact Lie group, let ,…