13,663 research outputs found
Loop-Erasure of Plane Brownian Motion
We use the coupling technique to prove that there exists a loop-erasure of a
plane Brownian motion stopped on exiting a simply connected domain, and the
loop-erased curve is the reversal of a radial SLE curve.Comment: 10 page
Restriction Properties of Annulus SLE
For , a family of annulus SLE processes
were introduced in [14] to prove the reversibility of whole-plane
SLE. In this paper we prove that those annulus SLE
processes satisfy a restriction property, which is similar to that for chordal
SLE. Using this property, we construct curves crossing an
annulus such that, when any curves are given, the last curve is a chordal
SLE trace.Comment: 37 page
Automated approaches for band gap mapping in STEM-EELS
Band gap variations in thin film structures, across grain boundaries, and in
embedded nanoparticles are of increasing interest in the materials science
community. As many common experimental techniques for measuring band gaps do
not have the spatial resolution needed to observe these variations directly,
probe-corrected Scanning Transmission Electron Microscope (STEM) with
monochromated Electron Energy-Loss Spectroscopy (EELS) is a promising method
for studying band gaps of such features. However, extraction of band gaps from
EELS data sets usually requires heavy user involvement, and makes the analysis
of large data sets challenging. Here we develop and present methods for
automated extraction of band gap maps from large STEM-EELS data sets with high
spatial resolution while preserving high accuracy and precision
A very important process of nucleosynthesis in stars
When some nuclei are free from strong gravitational field, they are unstable and will become stable nuclei by competitions of following processes: (1) neutron-evaporation; (2) spontaneous fission; and (3) beta prime 3-decay. At the initial stage, (1) and (2) are important and (3) can be ignored. The qualitative results are as follows: (1) it seems that nuclei with A 100 come from the spontaneous fission and beta prime decay of neutron-evaporated nuclei with A similiar to 140-440, which can replace the r-process; (2) the super-heavy elements with Z=114--126 (A similiar to 330--360) can be formed. They can be observed in cosmic rage if they have the halftime T 10 to the 7th poweer years; (3) the peak in the rare-earth elements comes from the symmetric fission of super-heavy elements; (4) there are more neutron-rich nuclei in the fragments; and (5) the abundances of a 83 elements in cosmic rays are one order of magnitude higher than that in the solar system
Nucleosynthesis in the terrestrial and solar atmospheres
Variations of Delta D, delta C-13, Delta C-14 and Delta O-18 with time were measured by a lot of experiments. Many abnormalities of isotope abundances in cosmic rays were found by balloons and satellites. It is suggested that these abnormalities are related to nuclearsynthesis in the terrestrial and solar atmospheres and are closely related to solar activities
Probing Dark Energy with the Kunlun Dark Universe Survey Telescope
Dark energy is an important science driver of many upcoming large-scale
surveys. With small, stable seeing and low thermal infrared background, Dome A,
Antarctica, offers a unique opportunity for shedding light on fundamental
questions about the universe. We show that a deep, high-resolution imaging
survey of 10,000 square degrees in \emph{ugrizyJH} bands can provide
competitive constraints on dark energy equation of state parameters using type
Ia supernovae, baryon acoustic oscillations, and weak lensing techniques. Such
a survey may be partially achieved with a coordinated effort of the Kunlun Dark
Universe Survey Telescope (KDUST) in \emph{yJH} bands over 5000--10,000 deg
and the Large Synoptic Survey Telescope in \emph{ugrizy} bands over the same
area. Moreover, the joint survey can take advantage of the high-resolution
imaging at Dome A to further tighten the constraints on dark energy and to
measure dark matter properties with strong lensing as well as galaxy--galaxy
weak lensing.Comment: 9 pages, 6 figure
Surface fitting and numerical gradient computations by discrete mollification
AbstractWe review the δ-mollification procedure for automatic fitting of surfaces defined from discrete noisy data functions in R2. As a further application, the stable numerical computation of gradient fields from discrete noisy data is also investigated. The main features of the algorithm are: 1.1. information about the noise is needed;2.2. the mollification parameters are chosen automatically by means of the Generalized Cross Validation (GCV) procedure.A complete error analysis of the method is provided together with several numerical examples of interest
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