Results 11 to 20 of about 867 (134)
Brownian Motion in Minkowski Space [PDF]
Entropy, 2015 We construct a model of Brownian motion in Minkowski space. There are two aspects of the problem. The first is to define a sequence of stopping times associated with the Brownian “kicks” or impulses.
Paul O'Hara, Lamberto Rondoni
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Hyperbolic vacua in Minkowski space
Journal of High Energy PhysicsFamilies of Lorentz, but not Poincare, invariant vacua are constructed for a massless scalar field in 4D Minkowski space. These are generalizations of the Rindler vacuum with a larger symmetry group. Explicit expressions are given as squeezed excitations
Walker Melton +3 more
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, 2014 We define the notion of weak Minkowski metric and prove some basic properties of such metrics. We also highlight some of the important analogies between Minkowski geometry and the Funk and Hilbert geometries.
Papadopoulos, Athanase, Troyanov, Marc
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Tangent Spaces of Minkowski Spaces
Missouri Journal of Mathematical Sciences, 2003 The author' work on the class of centrally convex compact bodies whose centre is the origin in the \(n\)-dimensional real space. The main result concerns the tangent spaces of Minkowski spaces: Let \(U_i\), and \(U\) be the indicatrices of \(M^n(U_i)\) and \(M^n(U)\).
Chai, Y. D., Kim, Yong-Il
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From noncommutative κ-Minkowski to Minkowski space–time [PDF]
Physics Letters B, 2007 6 ...
Freidel, Laurent +2 more
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The equivariant Minkowski problem in Minkowski space [PDF]
Annales de l'Institut Fourier, 2017 The classical Minkowski problem in Minkowski space asks,given a positive function φ on ℍ d ...
Bonsante, Francesco +1 more
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A-topology for Minkowski space [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1979 AbstractWe consider in this paper a topology (which we call the A-topology) on Minkowski space, the four-dimensional space–time continuum of special relativity and derive its group of homeomorphisms. We define the A-topology to be the finest topology on Minkowski space with respect to which the induced topology on time-like and light-like lines is one ...
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Horoballs in simplices and Minkowski spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We obtain precise descriptions of all horoballs for Hilbert′s geometry on simplices and for normed finite‐dimensional vector spaces with norm given by some polyhedron. Certain geometrical consequences are deduced and several other applications are pointed out, which concern the dynamics of important classes of nonlinear self‐maps of convex cones.
Anders Karlsson +2 more
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Geometry of Simplices in Minkowski Spaces [PDF]
Results in Mathematics, 2018 There are many problems and configurations in Euclidean geometry that were never extended to the framework of (normed or) finite dimensional real Banach spaces, although their original versions are inspiring for this type of generalization, and the analogous definitions for normed spaces represent a promising topic.
Leopold, Undine, Martini, Horst
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A New Angular Measurement in Minkowski 3-Space
Mathematics, 2020 In Lorentz−Minkowski space, the angles between any two non-null vectors have been defined in the sense of the angles in Euclidean space. In this work, the angles relating to lightlike vectors are characterized by the Frenet frame of a pseudo null ...
Jinhua Qian +3 more
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