Nonsmooth Analysis of Doubly Nonlinear Second-Order Evolution Equations
with Non-Convex Energy Functionals
October 22, 2019
Mathematics
Physics
Analysis of PDEs
Mathematical Physics
Mathematical Physics
We investigate the existence of strong solutions to a general class of doubly
multivalued and nonlinear evolution equations of second order. The multivalued
operators are generated by the subdifferential of nonsmooth potentials that
live in...
Minimal and maximal spectra as the Stone-\v{C}ech compactification
October 22, 2019
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Mathematics
Commutative Algebra
Algebraic Geometry
General Topology
In this paper, new advances on the compactifications of topological spaces,
especially on the Stone-\v{C}ech and Alexandroff compactifications have been
made. Among the main results, it is proved that the minimal spectrum of the
direct prod...
Rational fibered cubic fourfolds
October 22, 2019
Mathematics
Algebraic Geometry
Some classes of cubic fourfolds are birational to fibrations over P2,
where the fibers are rational surfaces. This is the case for cubics containing
a plane (resp. an elliptic ruled surface), where the fibers are quadric
surfaces (resp. ...
Extracting key information from spectroscopic galaxy surveys
October 21, 2019
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Physics
Cosmology and Nongalactic Astrophysics
We develop a novel method to extract key cosmological information, which is
primarily carried by the baryon acoustic oscillations and redshift space
distortions, from spectroscopic galaxy surveys based on a joint principal
component analysi...
Operational Valuation for Energy Storage under Multi-stage Price
Uncertainties
October 21, 2019
| |
Mathematics
Optimization and Control
This paper presents an analytical method for calculating the operational
value of an energy storage device under multi-stage price uncertainties. Our
solution calculates the storage value function from price distribution
functions directly ...
Proof of two supercongruences of truncated hypergeometric series
4F3
October 19, 2019
Mathematics
Number Theory
Combinatorics
In this paper, we prove two supercongruences conjectured by Z.-W. Sun via the
Wilf-Zeilberger method. One of them is, for any prime p>3, \begin{align*}
\sum_{n=0}^{(p-1)/2}\frac{6n+1}{(-512)^n}\binom{2n}n^3&\equiv
p\left(\frac{-2}p\right)...
Universally Consistent K-Sample Tests via Dependence Measures
October 19, 2019
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Statistics
Computer Science
Machine Learning
Machine Learning
The K-sample testing problem involves determining whether K groups of data
points are each drawn from the same distribution. Analysis of variance is
arguably the most classical method to test mean differences, along with several
recent meth...
Image Restoration Using Deep Regulated Convolutional Networks
October 19, 2019
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Computer Science
Computer Vision and Pattern Recognition
Machine Learning
While the depth of convolutional neural networks has attracted substantial
attention in the deep learning research, the width of these networks has
recently received greater interest. The width of networks, defined as the size
of the recept...
Comparison studies between BHBT2:PC71BM composite nanotubes and its
bulk-heterojunction properties
October 19, 2019
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Physics
Applied Physics
In this study, we investigate the morphological, structural, and optical
properties of both bulk-heterojunction and composite nanotubes that composed of
thiophene-based small molecules BHBT2 and fullerene PC71BM. Mix-blended and
template-as...
Fusion and positivity in chiral conformal field theory
October 18, 2019
Physics
Mathematics
Mathematical Physics
Mathematical Physics
Operator Algebras
Quantum Algebra
In this article we show that the conformal nets corresponding to WZW models
are rational, resolving a long-standing open problem. Specifically, we show
that the Jones-Wassermann subfactors associated with these models have finite
index. Thi...