299 research outputs found
Balance Functions, Correlations, Charge Fluctuations and Interferometry
Connections between charge balance functions, charge fluctuations and
correlations are presented. It is shown that charge fluctuations can be
directly expressed in terms of a balance functions under certain assumptions.
The distortion of charge balance functions due to experimental acceptance is
discussed and the effects of identical boson interference is illustrated with a
simple model.Comment: 1 eps figure included. 5 pages in revtex
A quantitative central limit theorem for linear statistics of random matrix eigenvalues
It is known that the fluctuations of suitable linear statistics of Haar
distributed elements of the compact classical groups satisfy a central limit
theorem. We show that if the corresponding test functions are sufficiently
smooth, a rate of convergence of order almost can be obtained using a
quantitative multivariate CLT for traces of powers that was recently proven
using Stein's method of exchangeable pairs.Comment: Title modified; main result stated under slightly weaker conditions;
accepted for publication in the Journal of Theoretical Probabilit
The measurement of homonegative reactions with physiological and subjective reports
A proposal to present a paper on the physiological measurement of homonegativit
The Characteristic Polynomial of a Random Permutation Matrix at Different Points
We consider the logarithm of the characteristic polynomial of random
permutation matrices, evaluated on a finite set of different points. The
permutations are chosen with respect to the Ewens distribution on the symmetric
group. We show that the behavior at different points is independent in the
limit and are asymptotically normal. Our methods enables us to study more
general matrices, closely related to permutation matrices, and multiplicative
class functions.Comment: 30 pages, 2 figures. Differences to Version 1: We have improved the
presentation and add some references Stochastic Processes and their
Applications, 201
Pennsylvania Folklife Vol. 33, No. 3
âą Moravian, Schwenkfelder, and American Log Construction âą The Search for Our German Ancestors Continued: The Breunings of Mohringen âą Where the Groundhog is King âą The Louisiana Passport of Pennsylvania\u27s Charles Sealsfield âą A Garden for the Friends of God : Religious Diversity in the Oley Valley to 1750https://digitalcommons.ursinus.edu/pafolklifemag/1103/thumbnail.jp
Correlations and Fluctuations, A Summary of Quark Matter 2002
Results for correlations and fluctuations presented at Quark Matter 2002 are
summarized. These results include Hanbury-Brown Twiss interferometry of a wide
variety of species, large scale fluctuations and correlations in and
multiplicity, and charge fluctuations and charge balance functions.Comment: published in NPA 715, page 389c (2003
Ewens measures on compact groups and hypergeometric kernels
On unitary compact groups the decomposition of a generic element into product
of reflections induces a decomposition of the characteristic polynomial into a
product of factors. When the group is equipped with the Haar probability
measure, these factors become independent random variables with explicit
distributions. Beyond the known results on the orthogonal and unitary groups
(O(n) and U(n)), we treat the symplectic case. In U(n), this induces a family
of probability changes analogous to the biassing in the Ewens sampling formula
known for the symmetric group. Then we study the spectral properties of these
measures, connected to the pure Fisher-Hartvig symbol on the unit circle. The
associated orthogonal polynomials give rise, as tends to infinity to a
limit kernel at the singularity.Comment: New version of the previous paper "Hua-Pickrell measures on general
compact groups". The article has been completely re-written (the presentation
has changed and some proofs have been simplified). New references added
The Dirichlet Markov Ensemble
We equip the polytope of Markov matrices with the normalized
trace of the Lebesgue measure of . This probability space
provides random Markov matrices, with i.i.d. rows following the Dirichlet
distribution of mean . We show that if \bM is such a random
matrix, then the empirical distribution built from the singular values
of\sqrt{n} \bM tends as to a Wigner quarter--circle
distribution. Some computer simulations reveal striking asymptotic spectral
properties of such random matrices, still waiting for a rigorous mathematical
analysis. In particular, we believe that with probability one, the empirical
distribution of the complex spectrum of \sqrt{n} \bM tends as to
the uniform distribution on the unit disc of the complex plane, and that
moreover, the spectral gap of \bM is of order when is
large.Comment: Improved version. Accepted for publication in JMV
Estimating the economic benefits of regional ocean observing systems
We develop a methodology to estimate the potential economic benefits from new investments in
regional coastal ocean observing systems in US waters, and apply this methodology to generate
preliminary estimates of such benefits. The approach focuses on potential economic benefits
from coastal ocean observing information within ten geographic regions encompassing all coastal
waters of the United States, and within a wide range of industrial and recreational activities
including recreational fishing and boating, beach recreation, maritime transportation, search and
rescue operations, spill response, marine hazards prediction, offshore energy, power generation,
and commercial fishing.
Our findings suggest that annual benefits to users from the deployment of ocean observing
systems are likely to run in the multiple $100s of millions of dollars per year.
The project results should be considered first-order estimates that are subject to considerable
refinement as the parameters of regional observing systems are better defined, and as our
understanding of user sectors improves.Funding was provided by the Office of Naval Research under Grant No. N00014-02-1-1037
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