2,797 research outputs found
Coexistence of Coulomb blockade and zero bias anomaly in a strongly coupled quantum dot
The current-voltage characteristics through a metallic quantum dot which is
well coupled to a metallic lead are measured. It is shown that the I-V curves
are composed of two contributions. One is a suppression of the tunneling
conductivity at the Fermi level and the second is an oscillating feature which
shifts with gate voltage. The results indicate that Zero-Bias-Anomaly and
Coulomb Blockade phenomena coexist in an asymmetric strongly coupled quantum
dot.Comment: 4 pages, 4 figure
Generalized Bayesian Record Linkage and Regression with Exact Error Propagation
Record linkage (de-duplication or entity resolution) is the process of
merging noisy databases to remove duplicate entities. While record linkage
removes duplicate entities from such databases, the downstream task is any
inferential, predictive, or post-linkage task on the linked data. One goal of
the downstream task is obtaining a larger reference data set, allowing one to
perform more accurate statistical analyses. In addition, there is inherent
record linkage uncertainty passed to the downstream task. Motivated by the
above, we propose a generalized Bayesian record linkage method and consider
multiple regression analysis as the downstream task. Records are linked via a
random partition model, which allows for a wide class to be considered. In
addition, we jointly model the record linkage and downstream task, which allows
one to account for the record linkage uncertainty exactly. Moreover, one is
able to generate a feedback propagation mechanism of the information from the
proposed Bayesian record linkage model into the downstream task. This feedback
effect is essential to eliminate potential biases that can jeopardize resulting
downstream task. We apply our methodology to multiple linear regression, and
illustrate empirically that the "feedback effect" is able to improve the
performance of record linkage.Comment: 18 pages, 5 figure
Weighted ergodic theorems for Banach-Kantorovich lattice
In the present paper we prove weighted ergodic theorems and multiparameter
weighted ergodic theorems for positive contractions acting on
. Our main tool is the use of methods of
measurable bundles of Banach-Kantorovich lattices.Comment: 11 page
The meeting problem in the quantum random walk
We study the motion of two non-interacting quantum particles performing a
random walk on a line and analyze the probability that the two particles are
detected at a particular position after a certain number of steps (meeting
problem). The results are compared to the corresponding classical problem and
differences are pointed out. Analytic formulas for the meeting probability and
its asymptotic behavior are derived. The decay of the meeting probability for
distinguishable particles is faster then in the classical case, but not
quadratically faster. Entangled initial states and the bosonic or fermionic
nature of the walkers are considered
Sample Size Selection under an Infill Asymptotic Domain
Experimental studies often fail to appropriately account for the number of
collected samples within a fixed time interval for functional responses. Data
of this nature appropriately falls under an Infill Asymptotic domain that is
constrained by time and not considered infinite. Therefore, the sample size
should account for this infill asymptotic domain. This paper provides general
guidance on selecting an appropriate size for an experimental study for various
simple linear regression models and tuning parameter values of the covariance
structure used under an asymptotic domain, an Ornstein-Uhlenbeck process.
Selecting an appropriate sample size is determined based on the percent of
total variation that is captured at any given sample size for each parameter.
Additionally, guidance on the selection of the tuning parameter is given by
linking this value to the signal-to-noise ratio utilized for power calculations
under design of experiments.Comment: 20 pages, 12 figures, 5 table
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