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304
WIDTH AND MODE OF THE PROFILE FOR SOME RANDOM TREES OF LOGARITHMIC HEIGHT
 SUBMITTED TO THE ANNALS OF APPLIED PROBABILITY
, 2005
"... We propose a new, direct, correlationfree approach based on central moments of profiles to the asymptotics of width (size of the most abundant level) in some random trees of logarithmic height. The approach is simple but gives precise estimates for expected width, central moments of the width, and ..."
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Cited by 9 (1 self)
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We propose a new, direct, correlationfree approach based on central moments of profiles to the asymptotics of width (size of the most abundant level) in some random trees of logarithmic height. The approach is simple but gives precise estimates for expected width, central moments of the width
Heights and logarithmic gcd on algebraic curves
, 2006
"... Let F (x, y) be an irreducible polynomial over Q, satisfying F (0, 0) = 0. Skolem (1929) proved that the integral solutions of F (x, y) = 0 with xed gcd are bounded and Walsh (1992) gave an explicit bound in terms of d = gcd(x, y) and F. Assuming that (0, 0) is a nonsingular point of the plane cu ..."
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Cited by 2 (0 self)
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logarithmic height and d is the (properly defined) greatest common divisor of α and β.
Heights and metrics with logarithmic singularities
, 704
"... We prove lower bound and finiteness properties for arakelovian heights with respect to preloglog hermitian ample line bundles. These heights were introduced by Burgos, Kramer and Kühn in [2], in their extension of the arithmetic intersection theory of Gillet and Soulé [8], aimed to deal with hermi ..."
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with hermitian vector bundles equipped with metrics admitting suitable logarithmic singularities. Our results generalize the corresponding properties for the heights of cycles in BostGilletSoulé [1], as well as the properties established by Faltings [7] for heights of points attached to hermitian line bundles
ZIGZAG: An efficient peertopeer scheme for media streaming
 IN PROC. OF IEEE INFOCOM
, 2003
"... We design a peertopeer technique called ZIGZAG for singlesource media streaming. ZIGZAG allows the media server to distribute content to many clients by organizing them into an appropriate tree rooted at the server. This applicationlayer multicast tree has a height logarithmic with the number o ..."
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Cited by 279 (5 self)
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We design a peertopeer technique called ZIGZAG for singlesource media streaming. ZIGZAG allows the media server to distribute content to many clients by organizing them into an appropriate tree rooted at the server. This applicationlayer multicast tree has a height logarithmic with the number
AN EXPLICIT HEIGHT BOUND FOR THE CLASSICAL MODULAR POLYNOMIAL
, 909
"... Abstract. For a prime l, let Φl be the classical modular polynomial, and let h(Φl) denote its logarithmic height. By specializing a theorem of Cohen, we prove that h(Φl) ≤ 6llogl + 16l + 14 √ llogl. As a corollary, we find that h(Φl) ≤ 6llogl+18l alsoholds. Atable ofh(Φl)values isprovidedforl ≤ 36 ..."
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Cited by 8 (5 self)
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Abstract. For a prime l, let Φl be the classical modular polynomial, and let h(Φl) denote its logarithmic height. By specializing a theorem of Cohen, we prove that h(Φl) ≤ 6llogl + 16l + 14 √ llogl. As a corollary, we find that h(Φl) ≤ 6llogl+18l alsoholds. Atable ofh(Φl)values isprovidedforl
Quadratic relations between logarithms of algebraic numbers
 Proc. Japan Acad. Sci., Sér. A 71
, 1995
"... So far, the four exponentials conjecture has P Q[X1,..., Xn] of degree <2 and let been solved only in one special case, namely be a point in V with coordinates in Assume that when the transcendence degree of the field which the field Q(/21, /2,) has transcendence degree 1 is spanned by the four ..."
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Cited by 1 (1 self)
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measure, which Theorem 1. Let x and x2 be two complex is related to its absolute logarithmic height numbers which are linearly independent over Q, and h(c0 by similarly let y, yz be twolinearly independent dh (ce) log M
LDT: a Logarithmic Distributed Search
, 2002
"... We propose LDT, a new Scalable Distributed Search Tree for the dictionary problem, as an alternative to both random trees and deterministic height balanced trees. Our scheme exhibits logarithmic update time, either constant or logarithmic search time for single key queries and output sensitive query ..."
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We propose LDT, a new Scalable Distributed Search Tree for the dictionary problem, as an alternative to both random trees and deterministic height balanced trees. Our scheme exhibits logarithmic update time, either constant or logarithmic search time for single key queries and output sensitive
Boundary height fields in the Abelian sandpile model, hepth/0409126. and logarithmic fields in a sandpile model 20
"... We study the abelian sandpile model on the upper half plane, and reconsider the correlations of the four height variables lying on the boundary. For more convenience, we carry out the analysis in the dissipative (massive) extension of the model and identify the boundary scaling fields corresponding ..."
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Cited by 8 (3 self)
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to the four heights. We find that they all can be accounted for by the massive pertubation of a c = −2 logarithmic conformal field theory. 1
Results 1  10
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304