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The space of bi-invariant orders on a nilpotent group
invariant order left-orderable group nilpotent group Group Theory
2012/4/18
We prove a few basic facts about the space of bi-invariant (or left-invariant) total order relations on a torsion-free, nonabelian, nilpotent group G. For instance, we show that the space of bi-invari...
Blind Null-space Tracking for MIMO Underlay Cognitive Radio Networks
Blind Null-space MIMO Cognitive Radio Networks Information Theory
2012/4/17
Blind Null Space Learning (BNSL) has recently been proposed for fast and accurate learning of the null-space associated with the channel matrix between a secondary transmitter and a primary receiver. ...
Torelli theorem for the Deligne--Hitchin moduli space, II
Principal bundle Deligne–Hitchin moduli space Higgs bundle vector field
2012/3/1
Let X and X' be compact Riemann surfaces of genus at least three. Let G and G' be nontrivial connected semisimple linear algebraic groups over C. If some components $M_{DH}^d(X,G)$ and $M_{DH}^{d'}(X'...
Nourdin-Peccati analysis on Wiener and Wiener-Poisson space for general distributions
Nourdin-Peccati analysis Wiener Wiener-Poisson space general distributions
2012/3/1
Given a reference random variable, we study the solution of its Stein equation and obtain universal bounds on its first and second derivatives. We then extend the analysis of Nourdin and Peccati by bo...
The geometry of elation groups of a finite projective space
geometry elation groups finite projective space
2012/2/29
We study the geometry of point-orbits of elation groups with a given center and axis of a finite projective space. We show that there exists a 1-1 correspondence from conjugacy classes of such groups ...
Sub-Riemannian structures corresponding to K鋒lerian metrics on the universal Teichmueller space and curve
Teichmuller space group of diffeomorphisms Lie-Frechet group Virasoro-Bott group Virasoro algebra sub-Riemannian geometry
2012/2/29
We consider the group of sense-preserving diffeomorphisms $\Diff S^1$ of the unit circle and its central extension, the Virasoro-Bott group, with their respective horizontal distributions chosen to be...
The Metric Completion of Outer Space
The Metric Completion Outer Space the Lipschitz metric homeomorphic
2012/3/1
We prove that the completion of Outer Space with the Lipschitz metric is homeomorphic to the free splitting complex. We give a new proof of a theorem by Francaviglia and Martino [FMa] that the isometr...
Mod-CSA: Modularity optimization by conformational space annealing
Mod-CSA Modularity optimization conformational space annealing
2012/2/29
We propose a new modularity optimization method, Mod-CSA, based on stochastic global optimization algorithm, conformational space annealing (CSA). Our method outperforms simulated annealing in terms o...
Space Astronomy for the mid-21st Century: Robotically Maintained Space Telescopes
Space Astronomy the mid-21st Century Robotically Maintained Space Telescopes
2012/2/24
The historical development of ground based astronomical telescopes leads us to expect that space-based astronomical telescopes will need to be operational for many decades. The exchange of scientific ...
Advanced Space Propulsion Based on Vacuum (Spacetime Metric) Engineering
Space propulsion metric engineering spacetime alteration warp drives wormholes polarizable vacuum
2012/4/20
A theme that has come to the fore in advanced planning for long-range space exploration is the concept that empty space itself (the quantum vacuum, or spacetime metric) might be engineered so as to pr...
Space-Efficient Approximation Scheme for Circular Earth Mover Distance
Space-Efficient Approximation Scheme Earth Mover Distance
2012/12/4
The Earth Mover Distance (EMD) between point sets A and B is the minimum cost of a bipartite matching between A and B. EMD is an important measure for estimating similarities between objects with quan...
People used to establish physical laws on the mathematical frame directly, without considering the existence of the No-Shape-Substance. We believe such physical laws are separated from their nature. S...
On the relaxation of special demi-coercive functionals in the space SBD(Ω)
Integral representation relaxation,special
2011/10/18
In this paper,we obtain an integral representation for the relaxation of the special demi-coercive functional \\[ F(x,u,\\Omega):=\\left\\{ \\begin{array}{ll} \\int_{\\Omega}f(x,u(x),\\varepsilon u(x)...
Cauchy problem of nonlinear Schrodinger equation with initial data in Sobolev space W^{s,p} for p<2
Applied mathematics Cauchy problem nonlinear Schrodinger equation local well-posedness scaling limit
2011/10/15
In this paper, we consider in R^n the Cauchy problem for nonlinear Schrodinger equation with initial data in Sobolev space W^{s,p} for p<2. It is well known that this problem is ill posed. However, We...
Initial-boundary value problem for the equation of timelike extremal surfaces in Minkowski space
Applied mathematics Minkowski space Timelike extremal surfaces Initial-boundary value problem
2011/10/15
In this paper we investigate the mixed initial-boundary value problem for the equation of time-like extremal surfaces in Minkowski space $R^{1+(1+n)}$ in the first quadrant. Under the assumptions that...