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Christophe Bahadoran - One of the best experts on this subject based on the ideXlab platform.

  • Hydrodynamics and Hydrostatics for a Class of Asymmetric Particle Systems with Open Boundaries
    Communications in Mathematical Physics, 2012
    Co-Authors: Christophe Bahadoran
    Abstract:

    We consider attractive particle systems in $${\mathbb {Z}^d}$$ with Product Invariant measures. We prove that when particles are restricted to a subset of $${\mathbb {Z}^d}$$ , with birth and death dynamics at the boundaries, the hydrodynamic limit is given by the unique entropy solution of a conservation law, with boundary conditions in the sense of Bardos et al. (Comm Part Diff Equ 4:1017–1034, 1979 ). For the hydrostatic limit between parallel hyperplanes, we prove a multidimensional version of the phase diagram conjectured in Popkov and Schütz (Europhys Lett 48:257–263, 1999 ), and show that it is robust with respect to perturbations of the boundaries.

  • hydrodynamics and hydrostatics for a class of asymmetric particle systems with open boundaries
    arXiv: Probability, 2006
    Co-Authors: Christophe Bahadoran
    Abstract:

    We consider attractive particle systems in Z d with Product Invariant measures. We prove that when particles are restricted to a subset of Z d , with birth and death dynamics at the boundaries, the hydrodynamic limit is given by the unique entropy solution of a conservation law, with boundary conditions in the sense of Bardos et al. ([7]). For the hydrostatic limit between parallel hyperplanes, we prove a multidimensional version of the phase diagram conjectured in [38], and show that it is robust with respect to perturbations of the boundaries. AMS 2000 subject classifications. 60K35, 82C22, 82C26; 35L65, 35L67, 35L50.

Abraham A Ungar - One of the best experts on this subject based on the ideXlab platform.

  • parametric realization of the lorentz transformation group in pseudo euclidean spaces
    arXiv: Mathematical Physics, 2015
    Co-Authors: Abraham A Ungar
    Abstract:

    The Lorentz transformation group $SO(m,n)$ is a group of Lorentz transformations of order $(m,n)$, that is, a group of special linear transformations in a pseudo-Euclidean space of signature $(m,n)$ that leave the pseudo-Euclidean inner Product Invariant. A parametrization of $SO(m,n)$ is presented, giving rise to the composition law of Lorentz transformations of order $(m,n)$ in terms of parameter composition. The parameter composition, in turn, gives rise to a novel group-like structure called a bi-gyrogroup. Bi-gyrogroups form a natural generalization of gyrogroups where the latter form a natural generalization of groups. Like the abstract gyrogroup, the abstract bi-gyrogroup can play a universal computational role which extends far beyond the domain of pseudo-Euclidean spaces.

  • parametric realization of the lorentz transformation group in pseudo euclidean spaces
    Journal of Geometry and Symmetry in Physics, 2015
    Co-Authors: Abraham A Ungar
    Abstract:

    Appears in: Journal of Geometry and Symmetry in Physics 38(2015), 39-108. Abstract. The Lorentz transformation group SO(m,n), m,n ∈ N, is a group of Lorentz transformations of order (m,n), that is, a group of special linear trans- formations in a pseudo-Euclidean space R m,n of signature (m,n) that leave the pseudo-Euclidean inner Product Invariant. A parametrization of SO(m,n) is pre- sented, givingriseto thecompositionlaw ofLorentztransformationsoforder(m,n) in terms of parameter composition. The parameter composition, in turn, gives rise to a novel group-like structure that R m,n possesses, called a bi-gyrogroup. Bi-gyrogroups form a natural generalization of gyrogroups where the latter form a natural generalization of groups. Like the abstract gyrogroup, the abstract bi- gyrogroup can play a universal computational role which extends far beyond the domain of pseudo-Euclidean spaces.

Ignacio Villanueva - One of the best experts on this subject based on the ideXlab platform.

Andrea Colesanti - One of the best experts on this subject based on the ideXlab platform.

Daniele Pagnini - One of the best experts on this subject based on the ideXlab platform.