搜索结果: 76-90 共查到“数学 geometry”相关记录230条 . 查询时间(0.074 秒)
Geometry of the Homology Curve Complex
the Homology Curve Complex Geometry Geometric Topology
2011/9/14
Abstract: Suppose $S$ is a closed, oriented surface of genus $g \geq 2$. This paper investigates the geometry of the "homology multicurve complex", $\mathcal{HC}(S,\alpha)$, of $S$; a complex closely ...
Commuting time geometry of ergodic Markov chains
Commuting time geometry ergodic Markov chains Probability
2011/9/5
Abstract: We show how to map the states of an ergodic Markov chain to Euclidean space so that the squared distance between states is the expected commuting time. We find a minimax characterization of ...
A Fourier-Mukai Approach to the Enumerative Geometry of Principally Polarized Abelian Surfaces
ideal sheaf Fourier-Mukai divisor abelian surface Hilbert scheme stable sheaf
2011/9/5
Abstract: We study twisted ideal sheaves of small length on an irreducible principally polarized abelian surface (T,l). Using Fourier-Mukai techniques we associate certain jumping schemes to such shea...
Riemannian statistics geometry: A counterpart approach of inference geometry
Geometrical Methods in Statistics Riemannian statistics geometry Statistics Theory
2011/9/5
Abstract: Riemannian statistics geometry is proposed in this work as a counterpart approach of inference geometry. This geometry framework is inspired on the existence of a notable analogy between the...
On one class of holonomy groups in pseudo-Riemannian geometry
holonomy groups pseudo-Riemannian geometry Differential Geometry
2011/9/5
Abstract: We prove the following theorem. Let g be a nondegenerate bilinear form on a vector space V, and L:V -> V a g-symmetric operator. Then the centraliser of L in SO(g) is a holonomy group for a ...
Abstract: We propose a formulation of a Lorentzian quantum geometry based on the framework of causal fermion systems. After giving the general definition of causal fermion systems, we deduce space-tim...
Supergravity as Generalised Geometry I: Type II Theories
Supergravity Generalised Geometry I High Energy Physics - Theory
2011/9/30
Abstract: We reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\bbR^+$ structure on th...
Schrodinger equations, deformation theory and $tt^*$-geometry
Schrodinger equations deformation theory Differential Geometry
2011/8/26
Abstract: This is the first of a series of papers to construct the deformation theory of the form Schr\"odinger equation, which is related to a section-bundle system $(M,g,f)$, where $(M,g)$ is a nonc...
Geometry of Feasible Injection Region of Power Networks
Geometry of Feasible Injection Region Optimization and Control Information Theory Power Networks
2011/8/29
Abstract: We investigate the problem of power flow in a network and its implications to the optimal power flow problem. We take a step-by-step approach by looking at the injection region of power netw...
Finite Projective Geometry based Fast, Conflict-free Parallel Matrix Computations
Distributed Computing Parallel Algorithms Parallel Processing
2011/9/29
Abstract: Matrix computations, especially iterative PDE solving (and the sparse matrix vector multiplication subproblem within) using conjugate gradient algorithm, and LU/Cholesky decomposition for so...
The geometry of embedded pseudo-Riemannian surfaces in terms of Poisson brackets
pseudo-Riemannian manifolds embedded surfaces Poisson brackets
2011/8/25
Abstract: Arnlind, Hoppe and Huisken showed how to express the Gauss and mean curvature of a surface embedded in a Riemannian manifold in terms of Poisson brackets of the embedding coordinates. We gen...
Abstract: This is a survey on the geometry of warped products, without, or essentially with only soft, calculation. Somewhere in the paper, the goal was to give a synthetic account since existing appr...
Basic coordinate-free non-Euclidean geometry
Basic coordinate-free non-Euclidean geometry Differential Geometry
2011/8/23
Abstract: These lecture notes are based on [arXiv: math/0702714, 0907.4469, 0907.4470]. We introduce and study basic aspects of non-Euclidean geometries from a coordinate-free viewpoint.
Optimal Folding of Data Flow Graphs based on Finite Projective Geometry using Lattice Embedding
Projective Geometry Parallel Scheduling Semi-parallel Architecture
2011/9/29
Abstract: A number of computations exist, especially in area of error-control coding and matrix computations, whose underlying data flow graphs are based on finite projective-geometry(PG) based balanc...
How Geometry Controls the Tearing of Adhesive Thin Films on Curved Surfaces
Geometry Controls Curved Surfaces Adhesive Thin Films Tearing
2011/7/7
Flaps can be detached from a thin film glued on a solid substrate by tearing and peeling. For flat substrates, it has been shown that these flaps spontaneously narrow and collapse in pointy triangular...