Charging axially symmetric interior solutions in General Relativity
October 4, 2018
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Physics
General Relativity and Quantum Cosmology
We present two solution-generating techniques, which are direct
generalizations of certain Ehlers-Harrison transformations in the Ernst
formalism, while adapted to work in presence of an anisotropic fluid source
with axial symmetry. Based o...
Hindman's finite sums theorem and its application to topologizations of
algebras
October 3, 2018
|
Mathematics
General Topology
Combinatorics
Logic
Rings and Algebras
General Topology
Combinatorics
Logic
Rings and Algebras
The first part of the paper is a brief overview of Hindman's finite sums
theorem, its prehistory and a few of its further generalizations, and a modern
technique used in proving these and similar results, which is based on
idempotent ultraf...
Erd\H{o}s-Rado Classes
October 2, 2018
Mathematics
Logic
We amalgamate two generalizations of Ramsey's Theorem--Ramsey classes and the
Erd\H{o}s-Rado Theorem--into the notion of a combinatorial Erd\H{o}s-Rado
class. These classes are closely related to Erd\H{o}s-Rado classes, which are
those from...
Global Minimality in Constrained Inverse Source Problems for Complex
Electromagnetic Media
October 1, 2018
|
Physics
Mathematics
Mathematical Physics
Mathematical Physics
Mathematical Physics
Mathematical Physics
Global minimality, boundedness, and uniqueness are established for a general,
physically motivated class of inverse source problems in non-homogeneous
electromagnetic media with generalized constitutive parameters. The existence
of a soluti...
Borel Complexity and the Schr\"oder-Bernstein Property
September 30, 2018
Mathematics
Logic
We introduce a new invariant of Borel reducibility, namely the notion of
thickness; this associates to every sentence Φ of Lω1ω and to every cardinal λ, the thickness τ(Φ,λ)
of Φ a...
Equivariant K-theory and refined Vafa-Witten invariants
September 28, 2018
Mathematics
Physics
Algebraic Geometry
High Energy Physics - Theory
In [MT2] the Vafa-Witten theory of complex projective surfaces is lifted to
oriented C∗-equivariant cohomology theories. Here we study the
K-theoretic refinement. It gives rational functions in t1/2 invariant
under $t^{1/2}\...
Probabilistic Analysis of Edge Elimination for Euclidean TSP
September 27, 2018
Computer Science
Mathematics
Discrete Mathematics
Computational Complexity
Data Structures and Algorithms
Combinatorics
One way to speed up the calculation of optimal TSP tours in practice is
eliminating edges that are certainly not in the optimal tour as a preprocessing
step. In order to do so several edge elimination approaches have been proposed
in the pa...
Converse for Multi-Server Single-Message PIR with Side Information
September 26, 2018
|
Computer Science
Mathematics
Information Theory
Information Theory
Multi-server single-message private information retrieval is studied in the
presence of side information. In this problem, K independent messages are
replicatively stored at N non-colluding servers. The user wants to privately
download ...
Holistic generational offsets: Fostering a primitive online abstraction
for human vs. machine cognition
September 26, 2018
|
Computer Science
Distributed, Parallel, and Cluster Computing
We propose a unified architecture for next generation cognitive, low cost,
mobile internet. The end user platform is able to scale as per the application
and network requirements. It takes computing out of the data center and into
end user ...
Optimal control under uncertainty: Application to the issue of CAT bonds
September 25, 2018
Mathematics
Optimization and Control
We propose a general framework for studying optimal issue of CAT bonds in the
presence of uncertainty on the parameters. In particular, the intensity of
arrival of natural disasters is inhomogeneous and may depend on unknown
parameters. Giv...