搜索结果: 91-105 共查到“知识库 数学 Theory”相关记录384条 . 查询时间(0.164 秒)
Abstract: Extending Furstenberg's ergodic theoretic proof for Szemer\'edi's theorem on arithmetic progressions, Furstenberg and Weiss (2003) proved the following qualitative result. For every d and k,...
Gromov-Lawson-Schoen-Yau theory and isoparametric foliations
Gromov-Lawson-Schoen-Yau theory isoparametric hypersurface positive scalar curvature
2011/9/21
Abstract: Motivated by the celebrated Gromov-Lawson-Schoen-Yau surgery the- ory on metrics of positive scalar curvature, the present paper constructs a double manifold associated with a minimal isopar...
G-flux in F-theory and algebraic cycles
G-flux F-theory algebraic cycles High Energy Physics - Theory Algebraic Geometry
2011/10/10
Abstract: We construct explicit G4 fluxes in F-theory compactifications. Our method relies on identifying algebraic cycles in the Weierstrass equation of elliptic Calabi-Yau fourfolds. We show how to ...
Canonical dual theory applied to a Lennard-Jones potential minimization problem
Mathematical Canonical Duality Theory Mathematical Optimization Lennard-Jones Potential Minimization Problem Global Optimization
2011/9/21
Abstract: The simplified Lennard-Jones (LJ) potential minimization problem is $f(x)=4\sum_{i=1}^N \sum_{j=1,jto} x\in \mathbb{R}^n,$ where...
Some bounds and limits in the theory of Riemann's zeta function
bounds and limits theory of Riemann's zeta function Number Theory
2011/9/21
Abstract: For any real a>0 we determine the supremum of the real \sigma\ such that \zeta(\sigma+it) = a for some real t. For 0 < a < 1, a = 1, and a > 1 the results turn out to be quite different.}
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Dualities in Field Theories and the Role of K-Theory
duality S-duality T-duality K-theory AdS/CFT correspondence D-brane
2011/10/9
Abstract: It is now known (or in some cases just believed) that many quantum field theories exhibit dualities, equivalences with the same or a different theory in which things appear very different, b...
Minimal Model Program with scaling and adjunction theory
Quasi polarized pairs Adjunction Theory Minimal Model Program with scaling
2011/9/20
Abstract: Let (X,L) be a quasi polarized pairs, i.e. X is a normal complex projective variety and L is a nef and big line bundle on it. We study, up to birational equivalence, the positivity (nefness)...
Abstract: We construct an inverse system of unstable Vassiliev spectral sequences on the spaces of plumbers' knots, which model the homotopy type of the space of long knots, and show that the limit of...
Localization in Gromov-Witten Theory and Orbifold Gromov-Witten Theory
Gromov-Witten invariants toric varieties virtual localization orbifold Gromov-Witten invariants toric DM stacks
2011/9/19
Abstract: In this expository article, we explain how to use localization to compute Gromov-Witten invariants of smooth toric varieties and orbifold Gromov-Witten invariants of smooth toric Deligne-Mum...
Applications of Derandomization Theory in Coding
Derandomization theory randomness extractors pseudorandomness wiretap channels group testing error-correcting codes
2011/10/9
Abstract: Randomized techniques play a fundamental role in theoretical computer science and discrete mathematics, in particular for the design of efficient algorithms and construction of combinatorial...
The Local Structure of Compactified Jacobians: Deformation Theory
Compactified Jacobian compactified Picard scheme nodal curve torsion-free sheaf
2011/9/16
Abstract: This paper studies the local geometry of compactified Jacobians constructed by Caporaso, Oda-Seshadri, Pandharipande, and Simpson. The main result is a presentation of the completed local ri...
On the passage from atomistic systems to nonlinear elasticity theory
nonlinear elasticity theory Analysis of PDEs
2011/9/16
Abstract: We derive continuum limits of atomistic models in the realm of nonlinear elasticity theory rigorously as the interatomic distances tend to zero. In particular we obtain an integral functiona...
Tail Asymptotic of Sum and Product of Random Variables with Applications in the Theory of Extremes of Conditionally Gaussian Processes
tail asymptotic Laplace method self-similar processes Gaussian processes locally stationary processes
2011/9/15
Abstract: We consider two independent random variables with the given tail asymptotic (e.g. power or exponential). We find tail asymptotic for their sum and product. This is done by some cumbersome bu...
Dissimilarity maps on trees and the representation theory of $GL_n(\C)$
Dissimilarity maps trees the representation theory Algebraic Geometry
2011/9/14
Abstract: We revisit the representation theory in type $A$used previously to establish that the dissimilarity vectors of phylogenetic trees are points on the tropical Grassmannian variety. We use a di...
Sieve methods in group theory I: Powers in Linear groups
Sieve Property-T Powers Linear groups Finite groups of Lie type
2011/9/14
Abstract: A general sieve method for groups is formulated. It enables one to "measure" subsets of a finitely generated group. As an application we show that if $\Gamma$ is a finitely generated non vir...