Results 21 to 30 of about 39 (39)
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We prove a Kastler‐Kalau‐Walze type theorem for perturbations of Dirac operators on compact manifolds with or without boundary. As a corollary, we give two kinds of operator‐theoretic explanations of the gravitational action on boundary. We also compute the spectral action for Dirac operators with two‐form perturbations on 4‐dimensional compact ...
Yong Wang, Jaume Giné
wiley +1 more source
The Hausdorff Dimension of the Penrose Universe
Physics Research International, Volume 2011, Issue 1, 2011., 2011 Penrose fractal tiling is one of the simplest generic examples for a noncommutative space. In the present work, we determine the Hausdorff dimension corresponding to a four‐dimensional analogue of the so‐calledPenrose Universe and show how it could be used in resolving various fundamental problems in high energy physics and cosmology.
L. Marek-Crnjac, Leonardo Golubovic
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Infinite‐Dimensional Lie Groups and Algebras in Mathematical Physics
Advances in Mathematical Physics, Volume 2010, Issue 1, 2010., 2010 We give a review of infinite‐dimensional Lie groups and algebras and show some applications and examples in mathematical physics. This includes diffeomorphism groups and their natural subgroups like volume‐preserving and symplectic transformations, as well as gauge groups and loop groups.
Rudolf Schmid, G. A. Goldin
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Horoballs in simplices and Minkowski spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 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.
A. Karlsson, V. Metz, G. A. Noskov
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Transfers for ramified covering maps in homology and cohomology
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 Making use of a modified version, due to McCord, of the Dold‐Thom construction of ordinary homology, we give a simple topological definition of a transfer for ramified covering maps in homology with arbitrary coefficients. The transfer is induced by a suitable map between topological groups. We also define a new cohomology transfer which is dual to the
Marcelo A. Aguilar, Carlos Prieto
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The Baum‐Connes conjecture, noncommutative Poincaré duality, and the boundary of the free group
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 38, Page 2425-2445, 2003., 2003 For every hyperbolic group Γ with Gromov boundary ∂Γ, one can form the cross product C∗‐algebra C(∂Γ)⋊Γ. For each such algebra, we construct a canonical K‐homology class. This class induces a Poincaré duality map K∗(C(∂Γ)⋊Γ) → K∗+1(C(∂Γ)⋊Γ). We show that this map is an isomorphism in the case of Γ = 𝔽2, the free group on two generators.
Heath Emerson
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Nonassociative algebras: a framework for differential geometry
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 60, Page 3777-3795, 2003., 2003 A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection. Its elements are interpreted as vector fields and its multiplication is interpreted as a connection. This provides a framework for differential geometry on a formal manifold with a formal connection. A
Lucian M. Ionescu
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International Journal of Stochastic Analysis, Volume 7, Issue 3, Page 215-237, 1994., 1994 This paper, written in honor of the 70th birthday of Lajos Takács, addresses his life and work, and includes some personal observations and appreciation of his contributions. In particular, it includes a short biography, an informal discussion of some of his major research areas (queueing, fluctuations, waiting time processes, and random rooted trees),
Jewgeni H. Dshalalow, Ryszard Syski
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Some of the next articles are maybe not open access.
Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics
Foundations of Science, 2012Vladimir Kanovei +2 more
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