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Growth of Sobolev norms in the cubic defocusing nonlinear Schrodinger equation
Sobolev norms cubic defocusing nonlinear Schrodinger equation
2015/9/25
We consider the cubic defocusing nonlinear Schr¨odinger equation in the two dimensional torus. Fix s > 1. Colliander, Keel, Staffilani, Tao and Takaoka proved in [CKS+10] the existence of solutions wi...
Segmentation of ARX-models using sum-of-norms regularization
Segmentation Regularization ARX-models
2015/8/7
Segmentation of time-varying systems and signals into models whose parameters are piecewise constant in time is an important and well studied problem. It is here formulated as a least-squares problem ...
Optimal relations between Lp-norms for the Hardy operator and its dual
Hardy operator Dual operator Best constants
2012/6/29
We obtain sharp two-sided inequalities between $L^p-$norms $(1ns $Hf$ and $H^*f$, where $H$ is the Hardy operator, $H^*$ is its dual, and $f$ is a nonnegative measurable function...
L^2-norms of exponential sums over prime powers
Primes in short intervals Diophantine problems with primes Number Theory
2012/6/14
We study a suitable mean-square average of primes in short intervals, generalizing Saffari-Vaughan's result. We then apply it to a ternary Diophantine problem with prime variables.
On Control Of Sobolev Norms For Some Semilinear Wave Equations With Localized Data
Control Sobolev Norms Some Semilinear Wave Equations Localized Data
2012/4/16
We establish new bounds of the Sobolev norms of solutions of semilinear wave equations for data lying in the Hs, s<1, closure of compactly supported data inside a ball of radius R, with R a fixed and ...
Exponential growth of norms in semigroups of linear automorphisms and Hausdorff dimension of self-projective IFS
Exponential growth of norms semigroups of linear automorphisms Hausdorff dimension self-projective IFS Dynamical Systems
2012/4/17
Given a finitely generated semigroup S of the (normed) set of linear maps of a vector space V into itself, we find sufficient conditions for the exponential growth of the number N(k) of elements of th...
Tail estimates for norms of sums of log-concave random vectors
log-concave random vectors concentration inequalities deviation inequalities random matrices
2011/9/15
Abstract: We establish new tail estimates for order statistics and for the Euclidean norms of projections of an isotropic log-concave random vector. More generally, we prove tail estimates for the nor...
Chevet type inequality and norms of submatrices
Chevet type inequality norms of submatrices Probability
2011/9/15
Abstract: We prove a Chevet type inequality which gives an upper bound for the norm of an isotropic log-concave unconditional random matrix in terms of expectation of the supremum of "symmetric expone...
Strictly convex norms and topology
Continuum hypothesis descriptive fragmentable Gruenhage space
2011/2/28
We introduce a new topological property called (∗) and the corre-sponding class of topological spaces, which includes spaces with G-diagonals and Gruenhage spaces.
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means
Euclidean norm arithmetic-geometric-harmonic mean
2010/9/25
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means.
Concerning the $L^4$ norms of typical eigenfunctions on compact surfaces
typical eigenfunctions compact surfaces
2010/11/8
Let $(M,g)$ be a two-dimensional compact boundaryless Riemannian manifold with Laplacian, $\Delta_g$. If $e_\lambda$ are the associated eigenfunctions of $\sqrt{-\Delta_g}$ so that $-\Delta_g e_\lamb...
Structure of finite nilspaces and inverse theorems for the Gowers norms in bounded exponent groups
Structure of finite nilspaces inverse theorems the Gowers norms bounded exponent groups
2010/11/11
A result of the author shows that the behavior of Gowers norms on bounded exponent abelian groups is connected to finite nilspaces. Motivated by this, we investigate the structure of finite nilspaces...
Representation formulas for $L^\infty$ norms of weakly convergent sequences of gradient fields in homogenization
L1 norms Nonlinear composition Weak limits Material design Homogenization
2010/12/10
We examine the composition of the L1 norm with weakly convergent sequences of gradient
elds associated with the homogenization of second order divergence form partial di erential
equations with mea...
Clarkson-McCarthy Interpolated Inequalities in Finsler Norms
p-Schatten class Complex method Clarkson-McCarthy inequalities
2010/1/25
We apply the complex interpolation method to prove that, given two spaces of -tuples of operators in the -Schatten class of a Hilbert space , endowed with weighted norms associated to positive and i...
An Ostrowski Type Inequality for $p-$norms
Ostrowski inequality Numerical integration Special means
2008/7/3
In this paper, we establish general form of an inequality of Ostrowski type for twice differentiable mappings in terms of norm, with first derivative absolutely continuous. The integral inequality of ...