28,457 research outputs found
Correlations of a bound interface over a random substrate
The correlation function of a one-dimensional interface over a random
substrate, bound to the substrate by a pressure term, is studied by Monte-Carlo
simulation. It is found that the height correlation , averaged
over the substrate disorder, fits a form exp(-(j/b)^c) to a surprising
precision in the full range of j where the correlation is non-negligible. The
exponent c increases from 1.0 to 1.5 when the interface tension is taken larger
and larger.Comment: 7 pages, 5 figure
Hierarchical Bayesian Modeling of Hitting Performance in Baseball
We have developed a sophisticated statistical model for predicting the
hitting performance of Major League baseball players. The Bayesian paradigm
provides a principled method for balancing past performance with crucial
covariates, such as player age and position. We share information across time
and across players by using mixture distributions to control shrinkage for
improved accuracy. We compare the performance of our model to current
sabermetric methods on a held-out season (2006), and discuss both successes and
limitations
Bhashaposhini Suchika (1977 –1992) [ഭാഷാപോഷിണി സൂചിക 1971-1992]
The journal Bhashaposhini is an authentic source for stdueis and research in areas of Malayalam literature, history and culture. It started publication in 1987 and after completion of 49 volumes ceased publication in 1942. It was revived from 1977 as a bimonthly. The present work is an index to the articles published in Bhashaposhini from 1977 to 1992 (New Volumes 1-16). Being an authentic knowledge source for regional studies and research, the need for an index to Bhashaposhini was strongly felt. The index has been classified under two major heads – Literature and Science. All articles other than literature are grouped under science
Radio detection of cosmic rays in the Pierre Auger Observatory
In small-scale experiments such as CODALEMA and LOPES, radio detection of
cosmic rays has demonstrated its potential as a technique for cosmic ray
measurements up to the highest energies. Radio detection promises measurements
with high duty-cycle, allows a direction reconstruction with very good angular
resolution, and provides complementary information on energy and nature of the
cosmic ray primaries with respect to particle detectors at ground and
fluorescence telescopes. Within the Pierre Auger Observatory, we tackle the
technological and scientific challenges for an application of the radio
detection technique on large scales. Here, we report on the results obtained so
far using the Southern Auger site and the plans for an engineering array of
radio detectors covering an area of ~20 km^2.Comment: 4 pages, Proceedings of the 11th Pisa Meeting on Advanced Detector
Rank Maximal Matchings -- Structure and Algorithms
Let G = (A U P, E) be a bipartite graph where A denotes a set of agents, P
denotes a set of posts and ranks on the edges denote preferences of the agents
over posts. A matching M in G is rank-maximal if it matches the maximum number
of applicants to their top-rank post, subject to this, the maximum number of
applicants to their second rank post and so on.
In this paper, we develop a switching graph characterization of rank-maximal
matchings, which is a useful tool that encodes all rank-maximal matchings in an
instance. The characterization leads to simple and efficient algorithms for
several interesting problems. In particular, we give an efficient algorithm to
compute the set of rank-maximal pairs in an instance. We show that the problem
of counting the number of rank-maximal matchings is #P-Complete and also give
an FPRAS for the problem. Finally, we consider the problem of deciding whether
a rank-maximal matching is popular among all the rank-maximal matchings in a
given instance, and give an efficient algorithm for the problem
Lorentz Violation for Photons and Ultra-High Energy Cosmic Rays
Lorentz symmetry breaking at very high energies may lead to photon dispersion
relations of the form omega^2=k^2+xi_n k^2(k/M_Pl)^n with new terms suppressed
by a power n of the Planck mass M_Pl. We show that first and second order terms
of size xi_1 > 10^(-14) and xi_2 < -10^(-6), respectively, would lead to a
photon component in cosmic rays above 10^(19) eV that should already have been
detected, if corresponding terms for electrons and positrons are significantly
smaller. This suggests that Lorentz invariance breakings suppressed up to
second order in the Planck scale are unlikely to be phenomenologically viable
for photons.Comment: 4 revtex pages, 3 postscript figures included, version published in
PR
Apparent first-order wetting and anomalous scaling in the two-dimensional Ising model
The global phase diagram of wetting in the two-dimensional (2d) Ising model
is obtained through exact calculation of the surface excess free energy.
Besides a surface field for inducing wetting, a surface-coupling enhancement is
included. The wetting transition is critical (second order) for any finite
ratio of surface coupling J_s to bulk coupling J, and turns first order in the
limit J_s/J to infinity. However, for J_s/J much larger than 1 the critical
region is exponentially small and practically invisible to numerical studies. A
distinct pre-asymptotic regime exists in which the transition displays
first-order character. Surprisingly, in this regime the surface susceptibility
and surface specific heat develop a divergence and show anomalous scaling with
an exponent equal to 3/2.Comment: This new version presents the exact solution and its properties
whereas the older version was based on an approximate numerical study of the
mode
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