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394
Combinatorial Limitations of Average-radius List Decoding
"... We study certain combinatorial aspects of list-decoding, motivated by the exponential gap between the known upper bound (of O(1/γ)) and lower bound (of Ωp(log(1/γ))) for the list-size needed to list decode up to error fraction p with rate γ away from capacity, i.e., 1−h(p)−γ (here p ∈ (0, 1 2) and ..."
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Cited by 1 (0 self)
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) codewords with low “average radius. ” The standard notion of list-decoding corresponds to working with the maximum distance of a collection of codewords from a center instead of average distance. The average-radius form is in itself quite natural; for instance, the classical Johnson bound in fact implies
Split States, Entropy Enigmas, Holes and Halos
, 2007
"... We investigate degeneracies of BPS states of D-branes on compact Calabi-Yau manifolds. We develop a factorization formula for BPS indices using attractor flow trees associated to multicentered black hole bound states. This enables us to study background dependence of the BPS spectrum, to compute e ..."
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Cited by 235 (22 self)
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radius but do not form stable D6-anti-D6 bound states. We point out a likely breakdown of the OSV conjecture at small gtop (in the large background CY volume limit), due to the surprising phenomenon that for sufficiently large background Kähler moduli, a charge ΛΓ supporting single centered black holes
Whom You Know Matters: Venture Capital Networks and Investment Performance,
- Journal of Finance
, 2007
"... Abstract Many financial markets are characterized by strong relationships and networks, rather than arm's-length, spot-market transactions. We examine the performance consequences of this organizational choice in the context of relationships established when VCs syndicate portfolio company inv ..."
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Cited by 138 (8 self)
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diffuse information across sector boundaries and expands the spatial radius of exchange, thus allowing VCs to diversify their portfolios In addition to improving deal flow, syndication networks may also help VCs add value to their portfolio companies. 1 Syndication networks facilitate the sharing
Research Article The Effects of Forming Parameters on Conical Ring
"... which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The plastic penetration condition and biting-in condition of a radial conical ring rolling process with a closed die structure on the top and bottom of driven roll, simplified ..."
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. The effects of ring’s outer radius growth rate and rolls sizes on the uniformities of PEEQ and temperature distributions, average rolling force, and average rolling moment were studied. The results indicate that the PEEQ at the inner layer and outer layer of rolled ring are larger than that at the middle
Combinatorial limitations of a strong form of list decoding
- Electronic Colloquium on Computational Complexity (ECCC
, 2012
"... We prove the following results concerning the combinatorics of list decoding, motivated by the exponential gap between the known upper bound (of O(1/γ)) and lower bound (of Ωp(log(1/γ))) for the list-size needed to decode up to radius p with rate γ away from capacity, i.e., 1 − h(p) − γ (here p ∈ (0 ..."
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Cited by 3 (2 self)
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radius”. The motivation for this result is that it gives a list-size lower bound for a strong notion of list decoding; this strong form has been implicitly been used in the previous negative results for list decoding. (The usual notion of list decoding corresponds to replacing average radius
Study of charged soot aggregates formed by benzene pyrolysis.
"... Soot formation during benzene pyrolysis is of interest due to use of fuels with increased aromatic content resulting in high level of particulate emissions from vehicular exhausts, furnaces, and manufacturing processes relatively to those emissions from low C/H ratio fuels. This work is aimed at vid ..."
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.1- 1 mm, the mean size of primary particles about 100 nm. Using the TEM images the Fig. 1. Scheme of the experimental set-up. Fig. 2. Example of TEM image of soot aggregates average radius of aggregates was measured as a function of the height above burner. The radius was determined as: LWR 2
A note on a generalized form of the Laplacian and of sub-Laplacians
"... Abstract. In this note we prove a recent conjecture of Hasson [11]: we show that, for a locally integrable function u, a sufficient condition to be harmonic is that lim r→0+ r−2(Mru − u) = 0 in the weak sense of distributions (Mr being the averaging operator on balls of radius r). We also extend th ..."
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Cited by 1 (1 self)
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Abstract. In this note we prove a recent conjecture of Hasson [11]: we show that, for a locally integrable function u, a sufficient condition to be harmonic is that lim r→0+ r−2(Mru − u) = 0 in the weak sense of distributions (Mr being the averaging operator on balls of radius r). We also extend
Crystallization in Al88RE8Ni4 Glass Forming Alloys
"... The results from transmission electron microscopy (TEM) microstructural studies of devitrified amorphous alloys with a composition Al88RE8Ni4 are presented as a function of average rare earth atomic radii (between 1.76 to 1.87 Å). Rare earth elements {Gd, Er, and La} were co-substituted to vary the ..."
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the average atomic radius (rRE), while maintaining an 8 at. % rare earth concentration. As reported previously for Al88La2Gd6Ni4 glasses, compositional phase separation prior to crystallization was observed in all alloys of this series. TEM examination of amorphous samples following low temperature annealing
Spontaneously Formed Monodisperse Biomimetic Unilamellar Vesicles: The Effect of Charge, Dilution, and Time
"... ABSTRACT Using small-angle neutron scattering and dynamic light scattering, we have constructed partial structural phase diagrams of lipid mixtures composed of the phosphatidylcholines dimyristoyl and dihexanoyl doped with calcium ions (Ca21) and/or the negatively charged lipid, dimyristoyl phosphat ..."
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.g., average outer radius, hRoi) were found to be insensitive to the lipid concentration (Clp). However, doping the dimyristoyl/ dihexanoyl system with both Ca21 and DMPG resulted in ULVs whose hRoi was found to be Clp dependent. The hRoi of DMPG-doped ULVs remained unchanged over an extended period of time
Approximating the spectral radius of sets of matrices in the max-algebra is NP-hard
- THE IEEE TRANS. ON AUTOMATIC CONTROL
, 1999
"... The lower and average spectral radii measure the minimal and average growth rates, respectively, of long products of matrices taken from a finite set. The logarithm of the average spectral radius is traditionally called the Lyapunov exponent. When one forms these products in the maxalgebra, we obtai ..."
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Cited by 17 (5 self)
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The lower and average spectral radii measure the minimal and average growth rates, respectively, of long products of matrices taken from a finite set. The logarithm of the average spectral radius is traditionally called the Lyapunov exponent. When one forms these products in the maxalgebra, we
Results 1 - 10
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394
