The Asymptotic Binary Goldbach and Lemoine Conjectures
September 11, 2017
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Mathematics
Number Theory
In this paper we use the former of the authors developed theory of
\textbf{circles of partition} to investigate possibilities to prove the binary
Goldbach as well as the Lemoine conjecture. We state the \textit{squeeze
principle} and its co...
Learning to Detect Entanglement
September 11, 2017
Physics
Quantum Physics
Classifying states as entangled or separable is a fundamental, but expensive
task. This paper presents a method, the forest algorithm, to improve the amount
of resources needed to detect entanglement. Starting from 'optimized' methods
for u...
The Shape of a Benedictine Monastery: The SaintGall Ontology (Extended
Version)
September 8, 2017
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Computer Science
Logic in Computer Science
Artificial Intelligence
We present an OWL 2 ontology representing the Saint Gall plan, one of the
most ancient documents arrived intact to us, which describes the ideal model of
a Benedictine monastic complex that inspired the design of many European
monasteries....
A non-Standard Standard Model
September 7, 2017
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Physics
General Physics
General Physics
We examine the Standard Model under the electroweak symmetry group
UEW(2) subject to the Lie algebra condition uEW(2)≅suI(2)⊕uY(1). Physically, the condition
ensures that all e...
Sloshing, Steklov and corners: Asymptotics of sloshing eigenvalues
September 6, 2017
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Mathematics
Spectral Theory
Analysis of PDEs
Spectral Theory
Analysis of PDEs
In the present paper we develop an approach to obtain sharp spectral
asymptotics for Steklov type problems on planar domains with corners. Our main
focus is on the two-dimensional sloshing problem, which is a mixed
Steklov-Neumann boundary ...
Convergence estimates for the Magnus expansion I. Banach algebras
September 6, 2017
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Mathematics
Functional Analysis
Rings and Algebras
Functional Analysis
Rings and Algebras
We review and provide simplified proofs related to the Magnus expansion, and
improve convergence estimates. Observations and improvements concerning the
Baker--Campbell--Hausdorff expansion are also made. In this Part I, we consider
the gen...
A power structure over the Grothendieck ring of geometric dg categories
September 6, 2017
Mathematics
Algebraic Geometry
We prove the existence of a power structure over the Grothendieck ring of
geometric dg categories. We show that a conjecture by Galkin and Shinder
(proved recently by Bergh, Gorchinskiy, Larsen, and Lunts) relating the motivic
and categoric...
The Recursive Stopping Time Structure of the 3x+1 Function
September 5, 2017
Mathematics
General Mathematics
The 3x+1 problem concerns iteration of the map
T:Z→Z given by \begin{align*}
T(x)=\left\{\begin{array}{lcr}\;\;\;\;\displaystyle{\frac{x}{2}} & \mbox{if
x≡0(mod2)},\\ \\\displaystyle{\fra...
A Locally Stable Equilibria Criterion for the Generalized Lotka-Volterra
September 4, 2017
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Mathematics
Dynamical Systems
Dynamical Systems
The main result applies to non-degenerate cases of the generalized
Lotka-Volterra model. A criterion is given that relates the stability of two
fixed points with the associated Schur complement of there respective community
matrices....
Modeling Interference Via Symmetric Treatment Decomposition
September 4, 2017
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Statistics
Methodology
Classical causal inference assumes treatments meant for a given unit do not
have an effect on other units. This assumption is violated in interference
problems, where new types of spillover causal effects arise, and causal
inference becomes...