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14 papers · 1 filter
Quantum violation of entropic non-contextual inequality in four-dimension
A. K. Pan, M. Sumanth, P. K. Panigrahi
Using joint Shannon entropy, we propose an inequality for a four-level system, which is satisfied in any non-contextual realist hidden variable model. We show that this entropic in…
Inverse scattering at fixed energy for the multidimensional Newton equation in short range radial potentials
Alexandre Jollivet
We consider the inverse scattering problem at fixed and sufficiently large energy for the nonrelativistic and relativistic Newton equation in , , with a smooth and s…
Ergodicity of observation-driven time series models and consistency of the maximum likelihood estimator
Randal Douc, Paul Doukhan, Eric Moulines
This paper deals with a general class of observation-driven time series models with a special focus on time series of counts. We provide conditions under which there exist strict-s…
Explicit Construction of First Integrals by Singularity Analysis in Nonlinear Dynamical Systems
Ch. Efthymiopoulos, T. Bountis, T. Manos
The Painleve and weak Painleve conjectures have been used widely to identify new integrable nonlinear dynamical systems. The calculation of the integrals relies though on methods q…
On the entropy of the mean field spin glass model
Flora Koukiou
From the study of a functional equation relating the Gibbs measures at two different tempratures we prove that the specific entropy of the Gibbs measure of the Sherrington-Kirkpatr…
Coupling between magnetic field and curvature in Heisenberg spins on surfaces with rotational symmetry
Vagson L. Carvalho-Santos, Rossen Dandoloff
We study the nonlinear -model in an external magnetic field applied on curved surfaces with rotational symmetry. The Euler-Lagrange equations derived from the Hamiltonian yield…