6,149 research outputs found
Computational linear algebra over finite fields
We present here algorithms for efficient computation of linear algebra
problems over finite fields
Hyperbolic structure for a simplified model of dynamical perfect plasticity
This paper is devoted to confront two different approaches to the problem of
dynam-ical perfect plasticity. Interpreting this model as a constrained
boundary value Friedrichs' system enables one to derive admissible hyperbolic
boundary conditions. Using variational methods, we show the well-posedness of
this problem in a suitable weak measure theoretic setting. Thanks to the
property of finite speed propagation, we establish a new regularity result for
the solution in short time. Finally, we prove that this variational solution is
actually a solution of the hyperbolic formulation in a suitable
dissipative/entropic sense, and that a partial converse statement holds under
an additional time regularity assumption for the dissipative solutions
Experimental realization of an ideal Floquet disordered system
The atomic Quantum Kicked Rotor is an outstanding "quantum simulator" for the
exploration of transport in disordered quantum systems. Here we study
experimentally the phase-shifted quantum kicked rotor, which we show to display
properties close to an ideal disordered quantum system, opening new windows
into the study of Anderson physics.Comment: 10 pages, 7 figures, submitted to New Journal of Physics focus issue
on Quantum Transport with Ultracold Atom
Relaxation approximation of Friedrich's systems under convex constraints
This paper is devoted to present an approximation of a Cauchy problem for
Friedrichs' systems under convex constraints. It is proved the strong
convergence in L^2\_{loc} of a parabolic-relaxed approximation towards the
unique constrained solution
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