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
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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
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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...
A Novel Approach to Neutrino-Hydrogen Measurements
September 24, 2018
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Physics
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Experiment
Nuclear Theory
Instrumentation and Detectors
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Experiment
Nuclear Theory
Instrumentation and Detectors
The limited statistics of the available (anti)neutrino-hydrogen (H)
interactions has been a longstanding impediment for high-energy neutrino
physics. We discuss a practical way to achieve accurate (anti)neutrino-hydrogen
measurements, addre...
Toric degenerations of cluster varieties and cluster duality
September 21, 2018
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Mathematics
Algebraic Geometry
Combinatorics
Rings and Algebras
Representation Theory
We introduce the notion of a Y-pattern with coefficients and its geometric
counterpart: a cluster X-variety with coefficients. We use these
constructions to build a flat degeneration of every skew-symmetrizable
specially compl...
The special Aronszajn tree property at ℵ2 and GCH
September 20, 2018
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Mathematics
Logic
Starting from the existence of a weakly compact cardinal, we build a generic
extension of the universe in which GCH holds and all ℵ2-Aronszajn
trees are special and hence there are no ℵ2-Souslin trees. This result
answers ...
The distribution of Weierstrass points on a tropical curve
September 20, 2018
Mathematics
Metric Geometry
Combinatorics
Algebraic Geometry
We show that on a metric graph of genus g, a divisor of degree n
generically has g(n−g+1) Weierstrass points. For a sequence of generic
divisors on a metric graph whose degrees grow to infinity, we show that the
associated Weierstrass...