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Analyzing Weighted $\ell_1$ Minimization for Sparse Recovery with Nonuniform Sparse Models\footnote{The results of this paper were presented in part at the International Symposium on Information Theory, ISIT 2009}
Analyzing Weighted $\ell_1$ Minimization Sparse Recovery International Symposium Information Theory
2010/12/8
In this paper we introduce a nonuniform sparsity model and analyze the performance of an optimized weighted ℓ1 minimization over that sparsity model. In particular, we focus on a model where the...
Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis
2D structured populations semigroup asymptotic behavior malthus parameter
2010/12/6
Angiogenesis is a key process in the tumoral growth which allows the cancerous tissue to impact on its vasculature in order to improve the nutrient’s supply and the metastatic process. In this paper, ...
Analysis of semidiscretization of the compressible Navier-Stokes equations
Navier-Stokes equations barotropic compressible viscous fluid weak solution
2010/12/7
The objective of this work is to present the existence result of for the nonsteady compressible Navier-Stokes equations via time discretization. We consider the two-dimensional case with a slip bounda...
The probability of long cycles in interchange processes
probability of long cycles interchange processes
2010/12/8
A well known phenomenon in the theory of mixing times1 is that occasionally certain aspects
of a system mix much faster than the system as a whole. Pemantle [12] constructed an example of
a random w...
Pair-Wise Cluster Analysis
2010/12/15
This paper studies the problem of learning clusters which are consistently present in different (continuously valued) representations of observed data. Our setup differs slightly from the standard app...
In this paper we propose a new framework for Non-standard Analysis ([4]) in terms of category theory ([3],[1]).
Solution of the Cauchy problem for the Navier - Stokes and Euler equations
Solution Cauchy problem the Navier - Stokes Euler equations
2010/12/3
Some known results regarding the Euler and Navier-Stokes equations were obtained by different authors.Existence and smoothness of the Navier-Stokes solutions in two dimensions have been known for a lo...
Performance Analysis and Design of Two Edge Type LDPC Codes for the BEC Wiretap Channel
Performance Analysis Design of Two Edge Type LDPC Codes BEC Wiretap Channel
2010/12/10
We consider transmission over a wiretap channel where both the main channel and the wiretapper’s channel are Binary Erasure Channels (BEC).
Comments on "Consensus and Cooperation in Networked Multi-Agent Systems"
consensus algorithms cooperative control flocking graph Laplacian
2010/12/16
The objective of this note is to give several comments regarding the paper [1] published in the Proceedings of the IEEE and to mention some closely related results published in 2000 and 2001. I will f...
Exterior cloaking with active sources in two dimensional acoustics
Active cloaking Acoustic waves Helmholtz equation Green’s formula
2010/12/3
We cloak a region from a known incident wave by surrounding the region with three or more devices that cancel out the field in the cloaked region without significantly radiating waves. Since very litt...
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem
Self-adjoint extensions spectral analysis generalized Kratzer problem
2010/12/13
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic motion of a particle in the potential field V (x) = g1x−1 + g2x−2, x 2 R+ = [0,1) .Fo...
Edinburgh Lectures on Geometry, Analysis and Physics
Edinburgh Lectures on Geometry Analysis Physics
2010/12/13
These lecture notes are based on a set of six lectures that I gave in Edinburgh in 2008/2009 and they cover some topics in the interface between Geometry and Physics. They involve some unsolved proble...
On a free boundary problem for an American put option under the CEV process
free boundary problem American put option CEV process
2010/12/7
We consider an American put option under the CEV process. This corre-sponds to a free boundary problem for a PDE. We show that this free boundary satis es a nonlinear integral equation, and analyze it...
On semi-Classical Questions Related to Signal Analysis
Semi-classical analysis Schrö dinger operator signal analysis arterial blood pressure
2010/12/14
This study explores the reconstruction of a signal using spectral quantities associated with some self-adjoint realization of an h-dependent Schrödinger operator −h2 d2 dx2 − y(x), h ...
Noether's problem for some 2-groups
Noether’s problem rationality problem the inverse Galois problem
2010/12/6
Let G be a finite group and k be a field. Let G act on the rational function field k(xg : g ∈ G) by k-automorphisms defined by g · xh = xgh for any g, h ∈ G. Noether’s problem asks whether the fixed f...
