46,371 research outputs found
Some statistics on permutations avoiding generalized patterns
In the last decade a huge amount of articles has been published studying
pattern avoidance on permutations. From the point of view of enumeration,
typically one tries to count permutations avoiding certain patterns according
to their lengths. Here we tackle the problem of refining this enumeration by
considering the statistics "first/last entry". We give complete results for
every generalized patterns of type or as well as for some cases
of permutations avoiding a pair of generalized patterns of the above types.Comment: 5 figure
Complete electroweak one loop contributions to the pair production cross section of MSSM charged and neutral Higgs bosons in e+e- collisions
In this paper, we review the production cross section for charged and neutral
Higgs bosons pairs in collisions beyond the tree level, in the
framework of the Minimal Supersymmetric Standard Model (MSSM). A complete list
of formulas for all electroweak contributions at the one loop level is given. A
numerical code has been developed in order to compute them accurately and, in
turn, to compare the MSSM Higgs bosons pair production cross sections at tree
level and at the one loop level.Comment: 58 pages, 3 eps figure
Detection of spatial pattern through independence of thinned processes
Let N, N' and N'' be point processes such that N' is obtained from N by
homogeneous independent thinning and N''= N- N'. We give a new elementary proof
that N' and N'' are independent if and only if N is a Poisson point process. We
present some applications of this result to test if a homogeneous point process
is a Poisson point process.Comment: 11 pages, one figur
Orthogonal Multiple Access with Correlated Sources: Feasible Region and Pragmatic Schemes
In this paper, we consider orthogonal multiple access coding schemes, where
correlated sources are encoded in a distributed fashion and transmitted,
through additive white Gaussian noise (AWGN) channels, to an access point (AP).
At the AP, component decoders, associated with the source encoders, iteratively
exchange soft information by taking into account the source correlation. The
first goal of this paper is to investigate the ultimate achievable performance
limits in terms of a multi-dimensional feasible region in the space of channel
parameters, deriving insights on the impact of the number of sources. The
second goal is the design of pragmatic schemes, where the sources use
"off-the-shelf" channel codes. In order to analyze the performance of given
coding schemes, we propose an extrinsic information transfer (EXIT)-based
approach, which allows to determine the corresponding multi-dimensional
feasible regions. On the basis of the proposed analytical framework, the
performance of pragmatic coded schemes, based on serially concatenated
convolutional codes (SCCCs), is discussed
Intermixture of extended edge and localized bulk energy levels in macroscopic Hall systems
We study the spectrum of a random Schroedinger operator for an electron
submitted to a magnetic field in a finite but macroscopic two dimensional
system of linear dimensions equal to L. The y direction is periodic and in the
x direction the electron is confined by two smooth increasing boundary
potentials. The eigenvalues of the Hamiltonian are classified according to
their associated quantum mechanical current in the y direction. Here we look at
an interval of energies inside the first Landau band of the random operator for
the infinite plane. In this energy interval, with large probability, there
exist O(L) eigenvalues with positive or negative currents of O(1). Between each
of these there exist O(L^2) eigenvalues with infinitesimal current
O(exp(-cB(log L)^2)). We explain what is the relevance of this analysis to the
integer quantum Hall effect.Comment: 29 pages, no figure
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