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Linear Growth for Greedy Lattice Animals
 Stoch. Proc. Appl
, 2000
"... Let d 2, and let fXv ; v 2 Z d g be an i.i.d. family of nonnegative random variables with common distribution F . Let N(n) be the maximum value of P v2 Xv over all connected subsets of Z d of size n which contain the origin. This model of "greedy lattice animals" was introduced by ..."
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Cited by 7 (1 self)
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Let d 2, and let fXv ; v 2 Z d g be an i.i.d. family of nonnegative random variables with common distribution F . Let N(n) be the maximum value of P v2 Xv over all connected subsets of Z d of size n which contain the origin. This model of "greedy lattice animals" was introduced by Cox et al. (1993) and Gandolfi and Kesten (1994), who showed that if E X d 0 (log + X0) d+ffl ! 1 for some ffl ? 0, then N(n)=n ! N a.s. and in L1 for some N ! 1. Using related but partly simpler methods, we derive the same conclusion under the slightly weaker condition that R 1 0 \Gamma 1 \Gamma F (x) \Delta 1=d dx ! 1, and show that N c R 1 0 \Gamma 1 \Gamma F (x) \Delta 1=d dx for some constant c. We also give analogous results for the related "greedy lattice paths" model. 1 Introduction Let d 2, and let fXv ; v 2 Z d g be an i.i.d. family of nonnegative random variables, with common distribution F . For a finite subset of Z d , the weight S() of is defined by S() = X...
HOMOGENIZATION OF FUNCTIONALS WITH LINEAR GROWTH IN THE CONTEXT OF AQUASICONVEXITY
"... ABSTRACT. This work deals with the homogenization of functionals with linear growth in the context of Aquasiconvexity. A representation theorem is proved, where the new integrand function is obtained by solving a cell problem where the coupling between homogenization and the Afree condition plays ..."
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ABSTRACT. This work deals with the homogenization of functionals with linear growth in the context of Aquasiconvexity. A representation theorem is proved, where the new integrand function is obtained by solving a cell problem where the coupling between homogenization and the Afree condition plays
A Parabolic Quasilinear Problem for Linear Growth Functionals
"... We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth. A tipical example of energy functional we consider is the one given by the nonparametric area integrand f(x; ) = p 1 + kk ..."
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Cited by 12 (4 self)
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We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth. A tipical example of energy functional we consider is the one given by the nonparametric area integrand f(x; ) = p 1 + kk
UPDATING Linear growth in asthmatic children*
"... Asthma is the most frequent chronic inflammatory disease in childhood, and its prevalence has increased remarkably over the last decades. Therefore, the scientific community became interested in studying the growth of the affected children. The relationship between asthma and growth suffers the infl ..."
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Asthma is the most frequent chronic inflammatory disease in childhood, and its prevalence has increased remarkably over the last decades. Therefore, the scientific community became interested in studying the growth of the affected children. The relationship between asthma and growth suffers
Evolutionary problems with energies with linear growth
"... We study a rateindependent evolution of problems where the energy W is a function of the deformation gradient, W = W (Du), and grows linearly at infinity, (1) c s  − c2 ≤W (x, s) ≤ C(1 + s) for x ∈ Ω ̄, with constants 0 < c ≤ C. Here, Ω ⊂ Rn is a bounded domain with smooth boundary. The ai ..."
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We study a rateindependent evolution of problems where the energy W is a function of the deformation gradient, W = W (Du), and grows linearly at infinity, (1) c s  − c2 ≤W (x, s) ≤ C(1 + s) for x ∈ Ω ̄, with constants 0 < c ≤ C. Here, Ω ⊂ Rn is a bounded domain with smooth boundary
How to measure and monitor linear growth rate.
"... Linear growth of N. crassa mycelia can exceed 5 mm/hr on solid medium perhaps the most rapid on record. This is a great asset for such purposes as determining optimal growth conditions (Ryan et al. 1943), assaying growth responses to metabolites (Ryan et al. 1943) and inhibitors (Newmeyer 1984), a ..."
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Linear growth of N. crassa mycelia can exceed 5 mm/hr on solid medium perhaps the most rapid on record. This is a great asset for such purposes as determining optimal growth conditions (Ryan et al. 1943), assaying growth responses to metabolites (Ryan et al. 1943) and inhibitors (Newmeyer 1984
INJECTIVE MODULES AND LINEAR GROWTH OF PRIMARY DECOMPOSITIONS
"... Abstract. The purposes of this paper are to generalize, and to provide a short proof of, I. Swanson’s Theorem that each proper ideal a in a commutative Noetherian ring R has linear growth of primary decompositions, that is, there exists a positive integer h such that, for every positive integer n, t ..."
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Cited by 5 (1 self)
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Abstract. The purposes of this paper are to generalize, and to provide a short proof of, I. Swanson’s Theorem that each proper ideal a in a commutative Noetherian ring R has linear growth of primary decompositions, that is, there exists a positive integer h such that, for every positive integer n
Conducting Linear Growth Curve Analysis with the SA!! System
"... Abstract In longitudinal studies, the change in the response variable over time is often of interest. Linear growth curve analysis allows you to estimate the mean slope as a function of time. Analysis becomes more difficult when there is individual variation about the mean slope and repeated observ ..."
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Abstract In longitudinal studies, the change in the response variable over time is often of interest. Linear growth curve analysis allows you to estimate the mean slope as a function of time. Analysis becomes more difficult when there is individual variation about the mean slope and repeated
A VectorPerturbation technique for NearCapacity . . .
 IEEE TRANS. COMMUN
, 2005
"... Recent theoretical results describing the sum capacity when using multiple antennas to communicate with multiple users in a known rich scattering environment have not yet been followed with practical transmission schemes that achieve this capacity. We introduce a simple encoding algorithm that achi ..."
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Cited by 323 (10 self)
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and maximize the signaltointerferenceplusnoise ratio at the receivers. Regularization enables linear growth and works especially well at low signaltonoise ratios (SNRs), but as we show in the second part, an additional step is needed to achieve nearcapacity performance at all SNRs.
Results 11  20
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8,225