22 citations · 63 across the 23 of their papers we have counts for
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Remarks about the thermostatistical description of the HMF model Part II: Phenomenology of Relaxation Dynamics
L. Velazquez, F. Guzman
After a general overview of some features of the relaxation dynamics of the Hamiltonian Mean Field model, its equilibrium thermodynamic properties are used to rephrase the out-of-e…
Remarks about the thermostatistical description of the HMF model Part I: Equilibrium Thermodynamics
L. Velazquez, F. Guzman
In this series of papers we shall carry out a reconsideration of the thermodynamical behavior of the called HMF model, a paradigmatic ferromagnetic toy model exhibiting many featur…
Geometrical aspects and connections of the energy-temperature fluctuation relation
L. Velazquez, S. Curilef
Recently, we have derived a generalization of the known canonical fluctuation relation between heat capacity and energy fluctuations, which can account…
Polynomial perturbations of hermitian linear functionals and difference equations
M. J. Cantero, L. Moral, L. Velazquez
This paper is devoted to the study of general (Laurent) polynomial modifications of moment functionals on the unit circle, i.e., associated with hermitian Toeplitz matrices. We pre…