9,282 research outputs found
A probabilistic approach to value sets of polynomials over finite fields
In this paper we study the distribution of the size of the value set for a
random polynomial with degree at most over a finite field .
We obtain the exact probability distribution and show that the number of
missing values tends to a normal distribution as goes to infinity. We
obtain these results through a study of a random -th order cyclotomic
mappings. A variation on the size of the union of some random sets is also
considered
Second and third orders asymptotic expansions for the distribution of particles in a branching random walk with a random environment in time
Consider a branching random walk in which the offspring distribution and the
moving law both depend on an independent and identically distributed random
environment indexed by the time.For the normalised counting measure of the
number of particles of generation in a given region, we give the second and
third orders asymptotic expansions of the central limit theorem under rather
weak assumptions on the moments of the underlying branching and moving laws.
The obtained results and the developed approaches shed light on higher order
expansions. In the proofs, the Edgeworth expansion of central limit theorems
for sums of independent random variables, truncating arguments and martingale
approximation play key roles. In particular, we introduce a new martingale,
show its rate of convergence, as well as the rates of convergence of some known
martingales, which are of independent interest.Comment: Accepted by Bernoull
Influence of Heavy Quark Recombination on the Nucleon Strangeness Asymmetry
The nucleon strange and anti-strange distribution asymmetry is an important
issue in the study of the nucleon structure. In this work, we show that the
heavy quark recombination processes from a perturbative QCD picture can give a
sizable influence on the measurement of the nucleon strangeness asymmetry from
charged-current charm production processes, such as the CCFR and NuTeV dimuon
measurements. When the influence of heavy quark recombination is considered, a
positive effective should be added to the initially
extracted strangeness asymmetry , supporting
the strangeness asymmetry being positive, which is helpful to explain the
NuTeV anomaly within the framework of the standard model.Comment: 5 latex pages, 2 figure
Smart Nanofibrous Nonwovens Fabricated by Electorospinning
信州大学博士(学術)学位論文・平成25年3月20日授与(甲第75号)・Gao QiangThesisGao Qiang. Smart Nanofibrous Nonwovens Fabricated by Electorospinning. 信州大学, 2013, 84p, 博士論文doctoral thesi
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