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Structured Stable Homotopy Theory and the Descent Problem for the Algebraic K-theory of Fields
Structured Stable Homotopy Theory Algebraic K-theory
2015/7/7
his is a relative result which asserts that the K-theory spectra of any two
algebraically closed fields of a given characteristic are equivalent to each other
after completion at a prime not e...
Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory
Type A Combinatorial Theory Dirichlet Series
2015/7/6
Speci cally, two distinct versions of the Gelfand-Tsetlin de nition were given. It
is not apparent that they are equal. Either of these de nitions is purely local in that
it speci es the p-part of t...
New Ties between Computational Harmonic Analysis and Approximation Theory
Computational Harmonic Analysis Approximation Theory
2015/6/17
Is the connection between approximation theory and harmonic analysis genuine? This question may seem a little provocative,especially in light of the recent literature about the significant interaction...
A Probabilistic and RIPless Theory of Compressed Sensing
Compressed sensing `1 minimization the LASSO the Dantzig selector (weak) restricted isometries random matrices sparse regression operator Bernstein inequalities Gross’ golfing scheme
2015/6/17
This paper introduces a simple and very general theory of compressive sensing. In this theory, the sensing mechanism simply selects sensing vectors independently at random from a probability distribut...
A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Differential Equation Modeling Nesterov’s Accelerated Gradient Method Theory Insights
2015/6/17
We derive a second-order ordinary differential equation (ODE), which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can...
A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Nesterov’s accelerated scheme convex optimization first-order methods differential equation restarting
2015/6/17
We derive a second-order ordinary differential equation (ODE) which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can ...
Topological bifurcation theory : old and new Jean Mawhin Universite Catholique de Louvain
Topological bifurcation theory Jean Mawhin Universite Catholique de Louvain
2015/4/3
Topological bifurcation theory : old and new Jean Mawhin Universite Catholique de Louvain.
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains
Iteration theory Maslov-type index Lagrangian subspace symplectic paths and Multiplicity brake orbits in bounded convex symmetric domains
2015/4/3
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains.
A Complementary Design Theory for Doubling.
Theory of Complementary Designs and Minimum Aberration Designs
Complementary Designs Minimum Aberration Designs
2015/3/20
Theory of Complementary Designs and Minimum Aberration Designs.
Liouville theory is characterized by the exponential interaction μe2bφ and a coupling to worldsheet curvature QRφ. A typical irrational CFT (c = 1 + 6Q2). Difficult theory solved in late 90’s using th...
On Topological String Theory.
The role of Chern Simons theory in solving the fractional quantum Hall effect mystery
Chern Simons theory fractional quantum Hall effect
2015/3/19
The role of Chern Simons theory in solving the fractional quantum Hall effect mystery.
Infinite dimensional Morse theory for geodesics on Finsler manifolds
Infinite dimensional Morse theory geodesics Finsler manifolds
2015/3/18
Infinite dimensional Morse theory for geodesics on Finsler manifolds.
Spatial Evolutionary Game Theory: Deterministic Approximations, Decompositions, and Hierarchical Multi-scale Models
Evolutionary games Hierarchical Multi-scale models
2014/12/8
Evolutionary game theory has recently emerged as a key paradigm in various behavioral science disciplines. In particular it provides powerful tools and a conceptual framework for the analysis of the t...