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Graphical Models Concepts in Compressed Sensing
Graphical Models Concepts Compressed Sensing
2010/11/23
This paper surveys recent work in applying ideas from graphical models and message passing algorithms to solve large scale regularized regression problems. In particular, the focus is on compressed s...
Algebraic and combinatorial structures on Baxter permutations
Algebraic combinatorial structures Baxter permutations
2010/11/23
We construct a Hopf subalgebra of the Hopf algebra of Free quasi-symmetric functions whose bases are indexed by objects belonging to the Baxter combinatorial family (i.e. Baxter permutation, pairs of ...
Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field
the Vlasov Equation the Vlasov - Poisson System
2010/11/23
Motivated by the difficulty arising in the numerical simulation of the movement of charged particles in presence of a large external magnetic field, which adds an additional time scale and thus impos...
A group has a planar Cayley complex if and only if it has a VAP-free Cayley graph
planar Cayley complex VAP-free Cayley graph
2010/11/23
We prove that a group has a planar Cayley complex if and only if it has a Cayley graph that can be embedded in the euclidean plane without accumulation points of vertices.
Striped periodic minimizers of a two-dimensional model for martensitic phase transitions
two-dimensional model martensitic phase transitions
2010/11/22
In this paper we consider a simplified two-dimensional scalar model for the formation of mesoscopic domain patterns in martensitic shape-memory alloys at the interface between a region occupied by th...
Optimal dispersive estimates for the wave equation with $C^{(n-3)/2}$ potentials in dimensions $4\le n\le 7$
the wave equation math
2010/11/22
We prove optimal dispersive estimates for the wave group $e^{it\sqrt{-\Delta+V}}$ for a class of real-valued potentials $V\in C^{(n-3)/2}({\bf R}^n)$, $4\le n\le 7$, such that $\partial_x^\alpha V(x)=...
Loewner Theory in annulus I: evolution families and differential equations
Loewner Theory differential equations
2010/11/23
Loewner Theory, based on dynamical viewpoint, is a powerful tool in Complex Analysis, which plays a crucial role in such important achievements as the proof of famous Bieberbach's conjecture and well...
Minimal free resolutions for certain affine monomial c
Minimal free resolutions certain affine monomial
2010/11/23
Given an arbitrary field k and an arithmetic sequence of positive integers m_0<...
In this paper we consider a model for the spread of a stochastic SIR (Susceptible $\to$ Infectious $\to$ Removed) epidemic on a network of individuals described by a random intersection graph. The nu...
Geometry of the locus of polynomials of degree 4 with iterative roots
Geometry polynomials iterative roots
2010/11/23
We study polynomial iterative roots of polynomials and describe the locus of complex polynomials of degree 4 admitting a polynomial iterative square root.
In this note we show that the restriction of the cotangent bundle $\Omega_{\mathbb P}^2$ of the projective plane to a Fermat curve $C$ of degree $d$ in characteristic $p \equiv -1 \mod 2d$ is, up to t...
A note on Gaussian correlation inequalities for nonsymmetric sets
Gaussian correlation inequalities nonsymmetric sets
2010/11/23
We consider the Gaussian correlation inequality for nonsymmetric convex sets. More precisely, if $A\subset\mathbb{R}^d$ is convex and the origin $0\in A$, then for any ball $B$ centered at the origin...
Moving closer: contractive maps on discrete metric spaces and graphs
Moving closer discrete metric spaces and graphs
2010/11/23
We consider discrete metric spaces and we look for non-constant contractions. We introduce the notion of contractive map and we characterize the spaces with non-constant contractive maps. We provide s...
Let $C^*(E)$ be the graph $C^*$-algebra associated to a graph E and let J be a gauge invariant ideal in $C^*(E)$. We compute the cyclic six-term exact sequence in $K$-theory of the associated extensio...
Primitive algebraic algebras of polynomially bounded growth
algebras polynomially bounded growth
2010/11/23
We show that if $k$ is a countable field, then there exists a finitely generated, infinite-dimensional, primitive algebraic $k$-algebra $A$ whose Gelfand-Kirillov dimension is at most six. In additio...