Local Identifier: 1000
Date Issued: 2008-01-01
Creators/Contributors: Balister, Paul; Bollobás, Béla; Sarkar, Amites; Walters, Mark
Following Etherington, Hoge and Parkes, we consider a network consisting of (approximately) N transceivers in the plane R² distributed randomly with…
Local Identifier: 1001
Date Issued: 2010-01-01
Creators/Contributors: Balister, Paul; Kalikow, Steven; Sarkar, Amites
Define the Linus sequence Ln for n ≥ 1 as a 0-1 sequence with L1 = 0, and Ln chosen so as to minimize the length of the longest immediately repeated…
Local Identifier: 1002
Date Issued: 2013-10-01
Creators/Contributors: Bényi, Árpád; Torres, Rodolfo H. (Rodolfo Humberto)
A notion of compactness in the bilinear setting is explored. Moreover, commutators of bilinear Calderon-Zygmund operators and multiplication by…
Local Identifier: 1003
Date Issued: 2013-01-01
Creators/Contributors: Bényi, Árpád; Oh, Tadahiro
We provide a direct proof for the boundedness of pseudodifferential operators with symbols in the bilinear Hörmander class BS10,ƍ, 0 ≤ ƍ
Local Identifier: 1004
Date Issued: 2006-01-01
Creators/Contributors: Bényi, Árpád; Oh, Tadahiro
We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical…
Local Identifier: 1005
Date Issued: 2004-01-01
Creators/Contributors: Ćurgus, Branko
The celebrated Gauss-Lucas theorem states that all the roots of the derivative of a complex non-constant polynomial p lie in the convex hull of the…
Local Identifier: 1006
Date Issued: 2000-09-01
Creators/Contributors: Gheondea, Aurelian; Langer, H.; Ćurgus, Branko
We give an example of a positive operator B in a Krein space with the following properties: the nonzero spectrum of B consists of isolated simple…
Local Identifier: 1007
Date Issued: 2003-01-01
Creators/Contributors: Mascioni, Vania; Ćurgus, Branko
Given a polynomial p of degree n ≥ 2 and with at least two distinct roots let Z(p) = { z: p(z) = 0}. For a fixed root α ∈ Z(p) we define the…
Local Identifier: 1008
Date Issued: 1997-09-01
Creators/Contributors: Najman, Branko; Ćurgus, Branko
A sufficient condition for the stability of the range of a positive operator in a Hilbert space is given. As a consequence, we get a class of…
Local Identifier: 1009
Date Issued: 1995-04-01
Creators/Contributors: Najman, Branko; Ćurgus, Branko
Krein space operator-theoretic methods are used to prove that the operator (sgn x) d²/dx² is similar to a selfadjoint operator in the Hilbert space…
Local Identifier: 1010
Date Issued: 2004-01-01
Creators/Contributors: Binding, Paul; Ćurgus, Branko
We give an example of an indefinite weight Sturm-Lionville problem whose eigenfunctions form a Riesz basis under Dirichlet boundary conditions but…
Local Identifier: 1011
Date Issued: 1973-07-01
Creators/Contributors: Chalice, Donald R.
We give conditions which are necessary and sufficient for polynomial approximation of any continuous function on a compact subset of Cn.
Local Identifier: 1012
Date Issued: 1997-03-01
Creators/Contributors: Czerlinski, George; Levin, Richard; Ypma, Tjalling
The kinetics of the reaction of aspartate aminotransferase with erythro-beta-hydroxy-aspartate, in which rapid mixing is followed (upon reaching a…
Local Identifier: 1013
Date Issued: 1995-03-01
Creators/Contributors: Amiran, Edoh Y.
The outer billiard ball map (OBM) is defined from and to the exterior of a domain, Ω, in the plane as taking a point, q, to another point, q 1, when…
Local Identifier: 1014
Date Issued: 2006-05-01
Creators/Contributors: Alber, Mark; Chen, Nan; Glimm, Tilmann; Lushnikov, Pavel M.
The Cellular Potts Model (CPM) has been used for simulating various biological phenomena such as differential adhesion, fruiting body formation of…
Local Identifier: 1015
Date Issued: 2012-06-01
Creators/Contributors: Anderson, Amy D.; Hall, Nathan; Mercer, Laina; Phillips, Daisy; Shaw, Jonathan
In this paper, we developed and compared several expectation-maximization (EM) algorithms to find maximum likelihood estimates of individual…
Local Identifier: 1016
Date Issued: 1994-09-01
Creators/Contributors: Gardner, Richard J.
We prove that in E3 the Busemann-Petty problem, concerning central sections of centrally symmetric convex bodies, has a positive answer. Together…
Local Identifier: 1017
Date Issued: 1999-03-01
Creators/Contributors: Gardner, Richard J.; Koldobsky, Alexander; Schlumprecht, Thomas
We derive a formula connecting the derivatives of parallel section functions of an origin-symmetric star body in Rn with the Fourier transform of…
Local Identifier: 1018
Date Issued: 2006-06-01
Creators/Contributors: Gardner, Richard J.; Kiderlen, Markus; Milanfar, Peyman
We investigate algorithms for reconstructing a convex body K in Rn from noisy measurements of its support function or its brightness function in k…
Local Identifier: 1019
Date Issued: 1994-04-01
Creators/Contributors: Gardner, Richard J.
We present a method which shows that in E3 the Busemann-Petty problem, concerning central sections of centrally symmetric convex bodies, has a…
Local Identifier: 1020
Date Issued: 2002-01-01
Creators/Contributors: Gardner, Richard J.
In 1978, Osserman [124] wrote an extensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet…
Local Identifier: 1021
Date Issued: 1999-07-01
Creators/Contributors: Gardner, Richard J.; Giannopoulos, Apostolos
If K is a convex body in En, its cross-section body CK has a radial function in any direction u is ∈ Sn-1 equal to the maximal volume of hyperplane…
Local Identifier: 1022
Date Issued: 2011-04-01
Creators/Contributors: Bianchi, Gabriele; Gardner, Richard J.; Kiederlen, Markus
The Phase Retrieval Problem of Fourier analysis involves determining a function f on Rn from the modulus |f�| of its Fourier transform f�. This…
Local Identifier: 1023
Date Issued: 1994-06-01
Creators/Contributors: Gardner, Richard J.; Volčič, Aljoša
By examining an example constructed by Petty and McKinney, we show that there are pairs of centered and coaxial bodies of revolution in Ed, d ≥ 3,…
Local Identifier: 1024
Date Issued: 2001-01-01
Creators/Contributors: Gardner, Richard J.; Gronchi, Paolo
A close discrete analog of the classical Brunn-Minkowksi inequality that holds for finite subsets of the integer lattice is obtained. This is applied…
Local Identifier: 1025
Date Issued: 1997-06-01
Creators/Contributors: Gardner, Richard J.; Gritzmann, Peter
We study the determination of finite subsets of the integer lattice Zn, n ≥ 2, by X-rays. In this context, an X-ray of a set in a direction u gives…
Local Identifier: 1026
Date Issued: 2010-10-01
Creators/Contributors: Gardner, Richard J.; Zvavitch, Artem
A detailed investigation is undertaken into Brunn-Minkowski-type inequalities for Gauss measure. A Gaussian dual Brunn-Minkowski inequality, the…
Local Identifier: 1027
Date Issued: 1994-03-01
Creators/Contributors: Gardner, Richard J.
It is proved that the answer to the Busemann-Petty problem concerning central sections of centrally symmetric convex bodies in d-dimensional…
Local Identifier: 1028
Date Issued: 2012-03-01
Creators/Contributors: Campi, Stefano; Gardner, Richard J.; Gronchi, Paolo
We initiate a systematic investigation into the nature of the function ∝K(L,ρ) that gives the volume of the intersection of one convex body K in Rn…
Local Identifier: 1029
Date Issued: 2013-02-20
Creators/Contributors: Bain, Edward; Butler, Tristan; McDowall, Stephen R.; Patrick, David L.; Scharnhorst, Kelsey
Luminescent waveguides (LWs) occur in a wide range of applications, from solar concentrators to doped fiber amplifiers. Here we report a…
