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AVERAGES ALONG POLYNOMIAL SEQUENCES IN DISCRETE NILPOTENT GROUPS: SINGULAR RADON TRANSFORMS
AVERAGES ALONG POLYNOMIAL SEQUENCES DISCRETE NILPOTENT GROUPS SINGULAR RADON TRANSFORMS
2014/4/3
We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. As in the continuous case, one can consider discrete maximal Radon transforms...
Random Sequences and Pointwise Convergence of Multiple Ergodic Averages
Ergodic averages mean convergence pointwise convergence multiple recurrence
2011/1/18
We prove pointwise convergence, as N ! 1, for the multiple ergodic averages 1 N PN n=1 f(T nx) ·g(Sanx), where T and S are commuting measure preserving transformations,and an is a random version of th...
Spans of Preference Functions for De Bruijn Sequences
De Bruijn Sequence Ford sequence preference function
2011/1/19
A nonbinary Ford sequence is a de Bruijn sequence generated by sim-ple rules that determine the priorities of what symbols are to be tried first, given an initial word of size n which is the order of ...
Given an edge ideal of graph G, we show that if the first nonlinear strand in the resolution of IG is zero until homological stage a1, then the next non-linear strand in the resolution is zero until h...
Predicting Sequences of Progressive Events Times with Time-dependent Covariates
Sequences Progressive Events Times Time-dependent Covariates
2010/12/15
This paper presents an approach to modeling progressive event-history data when the overall objective is prediction based on time-dependent covariates.This approach does not model the hazard function ...
Classification of General Sequences by Frame-Related Operators
analysis operator synthesis operator frame op-erator Gram matrix Bessel sequence
2010/12/1
This note is a survey and collection of results, as well as present-ing some original research. For Bessel sequences and frames, the analy-sis, synthesis and frame operators as well as the Gram matrix...
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...
A family of sequences with large size and good correlation property arising from $M$-ary Sidelnikov sequences of period $q^d-1$
Correlation Family size Sidelnikov sequence Array structure
2010/12/1
Let q be any prime power and let d be a positive integer greater than 1. In this paper, we construct a family of Mary sequences of period q−1 from a given M-ary.