19,546 research outputs found
Conditions for rapid mixing of parallel and simulated tempering on multimodal distributions
We give conditions under which a Markov chain constructed via parallel or
simulated tempering is guaranteed to be rapidly mixing, which are applicable to
a wide range of multimodal distributions arising in Bayesian statistical
inference and statistical mechanics. We provide lower bounds on the spectral
gaps of parallel and simulated tempering. These bounds imply a single set of
sufficient conditions for rapid mixing of both techniques. A direct consequence
of our results is rapid mixing of parallel and simulated tempering for several
normal mixture models, and for the mean-field Ising model.Comment: Published in at http://dx.doi.org/10.1214/08-AAP555 the Annals of
Applied Probability (http://www.imstat.org/aap/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Block-Transitive Designs in Affine Spaces
This paper deals with block-transitive - designs in affine
spaces for large , with a focus on the important index case. We
prove that there are no non-trivial 5- designs admitting a
block-transitive group of automorphisms that is of affine type. Moreover, we
show that the corresponding non-existence result holds for 4- designs,
except possibly when the group is one-dimensional affine. Our approach involves
a consideration of the finite 2-homogeneous affine permutation groups.Comment: 10 pages; to appear in: "Designs, Codes and Cryptography
A stacking method to study the gamma-ray emission of source samples based on the co-adding of Fermi LAT count maps
We present a stacking method that makes use of co-added maps of gamma-ray
counts produced from data taken with the Fermi Large Area Telescope. Sources
with low integrated gamma-ray fluxes that are not detected individually may
become detectable when their corresponding count maps are added. The combined
data set is analyzed with a maximum likelihood method taking into account the
contribution from point-like and diffuse background sources. For both simulated
and real data, detection significance and integrated gamma-ray flux are
investigated for different numbers of stacked sources using the public Fermi
Science Tools for analysis and data preparation. The co-adding is done such
that potential source signals add constructively, in contrast to the signals
from background sources, which allows the stacked data to be described with
simply structured models. We show, for different scenarios, that the stacking
method can be used to increase the cumulative significance of a sample of
sources and to characterize the corresponding gamma-ray emission. The method
can, for instance, help to search for gamma-ray emission from galaxy clusters.Comment: accepted for publication in Astronomy & Astrophysics, 10 pages, 12
figure
A simplex of bound entangled multipartite qubit states
We construct a simplex for multipartite qubit states of even number n of
qubits, which has the same geometry concerning separability, mixedness, kind of
entanglement, amount of entanglement and nonlocality as the bipartite qubit
states. We derive the entanglement of the class of states which can be
described by only three real parameters with the help of a multipartite measure
for all discrete systems. We prove that the bounds on this measure are optimal
for the whole class of states and that it reveals that the states possess only
n-partite entanglement and not e.g. bipartite entanglement. We then show that
this n-partite entanglement can be increased by stochastic local operations and
classical communication to the purest maximal entangled states. However, pure
n-partite entanglement cannot be distilled, consequently all entangled states
in the simplex are n-partite bound entangled. We study also Bell inequalities
and find the same geometry as for bipartite qubits. Moreover, we show how the
(hidden) nonlocality for all n-partite bound entangled states can be revealed.Comment: 11 pages, 4 figures; 2nd version changed considerably and a detailed
derivation of the multipartite measure is include
Incentive Policies to Promote the Use of Enhanced Stormwater BMPs in New Residential Developments
A voluntary stormwater management program that is incentive compatible between residential developers and regulators produces an outcome that simultaneously protects/enhances water quality and increases developer profits. Developers pay a participation fee and the collected fees are used to retrofit ineffective stormwater management systems in older neighborhoods to improve water quality.Stormwater Best Management Practices, Economic Incentives, Urban Water Quality, Environmental Economics and Policy, Q25,
Price Endogeneity and Marginal Cost Effects on Incentive Compatible Stormwater Management Policies
Incentive based stormwater management policies offer the prospect of reducing urban stormwater runoff while increasing developer profits. An incentive compatible Stormwater Banking Program (SBP) is presented that allows developers to build at higher residential densities in exchange for including low impact stormwater Best Management Practices (BMPs) in the development’s stormwater management infrastructure. Price endogeneity presents itself when the smaller residential lots created by building at a greater density sell for a lower price than the original, larger lots. Stormwater management authorities must be aware of this and the effects of the program participation fee structure in designing voluntary incentive based policies that meet runoff reduction objectives.Farm Management,
- …