An Analog-to-Information Approach Using Adaptive Compressive Sampling and Nonlinear Affine Transformations. Analog-to-Information GMR-UW Collaboration

2008 ◽  
Author(s):  
Gil M. Raz ◽  
Robert D. Nowak
2000 ◽  
Vol 32 (11) ◽  
pp. 58-64
Author(s):  
Mikhail Z. Zgurowsky ◽  
Igor I. Kovalenko ◽  
Kuteiba Kondrak ◽  
Elias Kondrak

Author(s):  
Bernhard M¨uhlherr ◽  
Holger P. Petersson ◽  
Richard M. Weiss

This chapter presents some results about groups generated by reflections and the standard metric on a Bruhat-Tits building. It begins with definitions relating to an affine subspace, an affine hyperplane, an affine span, an affine map, and an affine transformation. It then considers a notation stating that the convex closure of a subset a of X is the intersection of all convex sets containing a and another notation that denotes by AGL(X) the group of all affine transformations of X and by Trans(X) the set of all translations of X. It also describes Euclidean spaces and assumes that the real vector space X is of finite dimension n and that d is a Euclidean metric on X. Finally, it discusses Euclidean representations and the standard metric.


2010 ◽  
Vol 32 (2) ◽  
pp. 470-475 ◽  
Author(s):  
Jian Jin ◽  
Yuan-tao Gu ◽  
Shun-liang Mei
Keyword(s):  

Author(s):  
Daniel Berend

AbstractLet σ be an ergodic endomorphism of the r–dimensional torus and Π a semigroup generated by two affine transformations lying above σ. We show that the flow defined by Π admits minimal sets of positive Hausdorff dimension and we give necessary and sufficient conditions for this flow to be minimal.


Author(s):  
Helena Bordini de Lucas ◽  
Steven L. Bressler ◽  
Fernanda Selingardi Matias ◽  
Osvaldo Anibal Rosso

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