Self-gravitating razor-thin disks around black holes via multi-hole
seeds
July 21, 2019
Physics
General Relativity and Quantum Cosmology
Astrophysics of Galaxies
High Energy Astrophysical Phenomena
We construct self-gravitating razor-thin disks of counterrotating dust around
Schwarzschild black holes (BHs) by applying the "displace, cut, and reflect"
method to known seed solutions representing multi-holes. All but one of the
sources o...
Deep Learning Service for Efficient Data Distribution Aware Sorting
July 20, 2019
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Computer Science
Data Structures and Algorithms
Data Structures and Algorithms
In this paper, we present a neural network-enabled data distribution aware
sorting method, coined as NN-sort. Our approach explores the potential of
developing deep learning techniques to speed up large-scale sort operations,
enabling data ...
Moduli Spaces of Pentagonal Subdivision Tilings
July 20, 2019
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Mathematics
Combinatorics
Pentagonal subdivision gives three families of edge-to-edge tilings of the
sphere by congruent pentagons. Each family forms a two dimensional moduli. We
describe the moduli in detail....
A cryogenic memory element based on an anomalous Josephson junction
July 19, 2019
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Physics
Superconductivity
Mesoscale and Nanoscale Physics
Superconductivity
Mesoscale and Nanoscale Physics
We propose a non-volatile memory element based on a lateral ferromagnetic
Josephson junction with spin-orbit coupling and out-of-plane magnetization. The
interplay between the latter and the intrinsic exchange field of the
ferromagnet leads...
The Competitive Ratio of Threshold Policies for Online Unit-density
Knapsack Problems
July 19, 2019
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Computer Science
Data Structures and Algorithms
We study a supply chain ordering problem faced by a wholesale supplier
serving unpredictable demand. In this problem, the supplier has an initial
stock, and faces a stream of orders for different amounts that are unknown a
priori. Each orde...
Signatures of electromagnetic and sound radiation produced by
gravitational waves in core-collapse supernovae
July 18, 2019
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Physics
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
High Energy Physics - Theory
This paper presents the scenario that gravitational waves, generated in
core-collapse of a pre-supernova star, can produce both electromagnetic
radiation and sound radiation as gravitational waves propagate outward from the
collapsing core....
Big mapping class groups and rigidity of the simple circle
July 18, 2019
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Mathematics
Dynamical Systems
Group Theory
Geometric Topology
Dynamical Systems
Group Theory
Geometric Topology
Let Γ denote the mapping class group of the plane minus a Cantor set.
We show that every action of Γ on the circle is either trivial or
semi-conjugate to a unique minimal action on the so-called simple circle....
Joint Coverage and Power Control in Highly Dynamic and Massive UAV
Networks: An Aggregative Game-theoretic Learning Approach
July 18, 2019
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Electrical Engineering and Systems Science
Computer Science
Systems and Control
Systems and Control
Unmanned aerial vehicles (UAV) ad-hoc network is a significant contingency
plan for communication after a natural disaster, such as typhoon and
earthquake. To achieve efficient and rapid networks deployment, we employ
noncooperative game th...
Maximum rectilinear convex subsets
July 17, 2019
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Computer Science
Computational Geometry
Discrete Mathematics
Computational Geometry
Discrete Mathematics
Let P be a set of n points in the plane. We consider a variation of the
classical Erd\H{o}s-Szekeres problem, presenting efficient algorithms with
O(n3) running time and O(n2) space complexity that compute: (1) A subset
S of P...
Siegel modular forms of degree three and invariants of ternary quartics
July 17, 2019
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Mathematics
Number Theory
Algebraic Geometry
We determine the structure of the graded ring of Siegel modular forms of
degree 3. It is generated by 19 modular forms, among which we identify a
homogeneous system of parameters with 7 forms of weights 4, 12, 12, 14, 18, 20
and 30. We also...