2,464 research outputs found
METHOD FOR ANALYZING FERTILITY OF HETEROZYGOTES FOR AUTOSOMAL RECESSIVE DISORDERS, WITH SPECIAL REFERENCE TO CYSTIC-FIBROSIS, TAY-SACHS DISEASE AND PHENYLKETONURIA
No full textLP Decoding Excess over Symmetric Channels
No full textWe consider the problem of Linear Programming (LP) decoding of binary linear codes. The LP excess lemma was introduced by the first author, B. Ghazi, and R. Urbanke (IEEE Trans. Inf. Th., 2014) as a technique to trade crossover probability for 'LP excess' over the Binary Symmetric Channel. We generalize the LP excess lemma to discrete, binary-input, Memoryless, Symmetric and LLR-Bounded (MSB) channels. As an application, we extend a result by the first author and H. Audah (IEEE Trans. Inf. Th., 2015) on the impact of redundant checks on LP decoding to discrete MSB channels. © 2015 IEEE
A Sobolev estimate for radial lp-multipliers on a class of semi-simple lie groups
No full textLet G be a semi-simple Lie group in the Harish-Chandra class with maximal compact subgroup K. Let ΩK be minus the radial Casimir operator. Let 1 4 dim(G/K) < SG < 1 2 dim(G/K), s ∈ (0, SG] and p ∈ (1,∞) be such that(1 p - 1 2 )< s 2SG . Then, there exists a constant CG,s,p > 0 such that for every m ∈ L∞(G) ∩ L2(G) bi-K-invariant with m ∈ Dom(Ωs K) and Ωs K(m) ∈ L2SG/s(G) we have, (0.1) ∥Tm : Lp(G) → Lp( G)∥ ≤ CG,s,p∥Ωs K(m)∥ L2SG/s(G), where Tm is the Fourier multiplier with symbol m acting on the noncommutative Lp-space of the group von Neumann algebra of G. This gives new examples of Lp-Fourier multipliers with decay rates becoming slower when p approximates 2.Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Analysi
Stability properties of stochastic maximal Lp-regularity
No full textIn this paper we consider Lp-regularity estimates for solutions to stochastic evolution equations, which is called stochastic maximal Lp-regularity. Our aim is to find a theory which is analogously to Dore’s theory for deterministic evolution equations. He has shown that maximal Lp-regularity is independent of the length of the time interval, implies analyticity and exponential stability of the semigroup, is stable under perturbation and many more properties. We show that the stochastic versions of these results hold
MENDELIAN PHENOTYPES IN THE NETHERLANDS
No full textWe report here a database listing Mendelian phenotypes described in the Netherlands and/or in populations originating from this country, and describe the results of a quantitative analysis of the database. The database is specifically directed at the presence, frequency and origin of the phenotypes. These are arranged according to their mode of inheritance: autosomal dominant (AD), autosomal recessive (AR) and X-linked. Only those phenotypes which have been reported in accessible sources were included. We entered 1,482 references up to January 1, 1991. At least 672 different loci were decribed in the Netherlands at this date: 321 (47.8%) AD, 283 (42.1%) AR and 68 (10.1%) X-linked. Almost 2.5% of all loci in our database have no comparable entry in McKusick [Mendelian Inheritance in Man, ed 9. Baltimore, The Johns Hopkins University Press, 19901 (MIM). There is a significant difference (p <0.01) according to the division into AD, AR, and X-linked phenotypes between our database and MIM, in which 61.7% of the phenotypes are AD, 31.5% AR and 6.8% X-linked. Dutch prevalence data for 38 monogenic disorders and 24 polymorphic systems are listed
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