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Injectivity radius estimates and sphere theorems
 Comparison Geometry, MSRI Publications
, 1997
"... Abstract. We survey results about the injectivity radius and sphere theorems, from the early versions of the topological sphere theorem to the authors ’ most recent pinching below 1 theorems, explaining at each stage 4 the new ideas involved. ..."
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Cited by 8 (0 self)
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Abstract. We survey results about the injectivity radius and sphere theorems, from the early versions of the topological sphere theorem to the authors ’ most recent pinching below 1 theorems, explaining at each stage 4 the new ideas involved.
Curvature and injectivity radius estimates for Einstein 4manifolds
 J. Amer. Math. Soc
"... It is of fundamental interest to study the geometric and analytic properties of compact Einstein manifolds and their moduli. In dimension 2 these problems are well understood. A 2dimensional Einstein manifold, (M2, g), has constant curvature, which after normalization, can be taken to be −1, 0 or 1 ..."
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Cited by 31 (2 self)
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It is of fundamental interest to study the geometric and analytic properties of compact Einstein manifolds and their moduli. In dimension 2 these problems are well understood. A 2dimensional Einstein manifold, (M2, g), has constant curvature, which after normalization, can be taken to be −1, 0 or 1. Thus, (M2, g) is the quotient of a space form and the metric, g, is completely determined by the conformal structure. For fixed M2, the moduli space of all such g admits a natural compactification, the DeligneMumford compactification, which has played a crucial role in geometry and topology in the last two decades, e.g. in establishing GromovWitten theory in symplectic and algebraic geometry. In dimension 3, it remains true that Einstein manifolds have constant sectional curvature and hence are quotients of space forms. An essential portion of Thurston’s geometrization program can be viewed as the problem of determining which 3manifolds admit Einstein metrics. The moduli space of Einstein metrics on a 3dimensional manifold is also well understood. As a consequence of Mostow rigidity, the situation is actually simpler than in twodimensions.
Neighborhood Radius Estimation for VariableNeighborhood Random Fields
 Stoch. Proc. Appl
, 2011
"... Abstract We consider random fields defined by finiteregion conditional probabilities depending on a neighborhood of the region which changes with the boundary conditions. To predict the symbols within any finite region it is necessary to inspect a random number of neighborhood symbols which might ..."
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. We define an algorithm to estimate the radius of the smallest ball containing the context based on a realization of the field. We prove the consistency of this estimator. Our proofs are constructive and yield explicit upper bounds for the probability of wrong estimation of the radius of the context.
A SPECTRAL RADIUS ESTIMATE AND ENTROPY OF HYPERCUBES
"... Abstract. We consider a problem in Mathematical Biology that leads to a question in Graph Theory, which can be solved using an old but not widely known upper estimate of the spectral radius of a nonnegative matrix. We provide a new proof of this estimate. 1. ..."
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Abstract. We consider a problem in Mathematical Biology that leads to a question in Graph Theory, which can be solved using an old but not widely known upper estimate of the spectral radius of a nonnegative matrix. We provide a new proof of this estimate. 1.
Comparison of RadiusEstimating Techniques for Horizontal Curves
"... Techniques to obtain horizontal curve radii were identified and tested in a controlled experimental study. Ten techniques were identified and pilot tested. Eight of those initial 10 were then used to measure 18 horizontal curves on twolane rural highways in Texas to evaluate fully their accuracy, ..."
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Techniques to obtain horizontal curve radii were identified and tested in a controlled experimental study. Ten techniques were identified and pilot tested. Eight of those initial 10 were then used to measure 18 horizontal curves on twolane rural highways in Texas to evaluate fully their accuracy, precision, cost, ease of use, and safety. Statistically, all eight techniques produced equivalent accuracies, but they displayed a wide range in their precision. The costs varied as a function of the number of times each technique would be used in the field, with those techniques with high initial costs becoming more costcompetitive over the long run with many uses. Ease of use was gauged on the basis of the experience gained during this research. Safety was measured on the basis of whether a technique required personnel on the roadway or roadside or whether it allowed personnel to work from an office or inside a vehicle. The recommendations were based on the expected needs of three different groups that use radii information: transportation agencies, accident
RangeFree Localization Schemes for Large Scale Sensor Networks
, 2003
"... Wireless Sensor Networks have been proposed for a multitude of locationdependent applications. For such systems, the cost and limitations of hardware on sensing nodes prevent the use of rangebased localization schemes that depend on absolute pointtopoint distance estimates. Because coarse accura ..."
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Cited by 525 (8 self)
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Wireless Sensor Networks have been proposed for a multitude of locationdependent applications. For such systems, the cost and limitations of hardware on sensing nodes prevent the use of rangebased localization schemes that depend on absolute pointtopoint distance estimates. Because coarse
Improved Methods for Search Radius Estimation in Sphere Detection Based MIMO Receivers
"... Abstract — Recently, communication systems with multiple transmission and reception antennas (MIMO) have been introduced and proven to be suitable for achieving a high spectral efficiency. Assuming full channel knowledge at the receiver, socalled sphere detectors perform a tree search and generate m ..."
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multiple hypotheses about the transmitted symbol, from which soft output information can be derived for each bit. Most schemes constrain the search to a certain radius, estimated from the desired number of hypotheses and statistical channel properties. However, the actual number of found hypotheses
Precompactness of solutions to the Ricci flow in the absence of injectivity radius estimates
, 2003
"... ..."
Hamilton’s injectivity radius estimate for sequences with almost nonnegative curvature operators
, 2002
"... ..."
PRECISE RADIUS ESTIMATES FOR THE EXOPLANETS WASP1b AND WASP2b
, 2006
"... We present precise zband photometric time series spanning times of transit of the two exoplanets recently discovered by the SuperWASP collaboration. We find planetary radii of 1:44 0:08 and 1:04 0:06 RJ for WASP1b and WASP2b, respectively. These error estimates include both random errors in th ..."
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We present precise zband photometric time series spanning times of transit of the two exoplanets recently discovered by the SuperWASP collaboration. We find planetary radii of 1:44 0:08 and 1:04 0:06 RJ for WASP1b and WASP2b, respectively. These error estimates include both random errors
Results 1  10
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3,436