Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous
Dimensions
November 14, 2017
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Physics
High Energy Physics - Phenomenology
We compute the one-loop anomalous dimensions of the low-energy effective
Lagrangian below the electroweak scale, up to terms of dimension six. The
theory has 70 dimension-five and 3631 dimension-six Hermitian operators that
preserve baryon ...
A unified framework for hard and soft clustering with regularized
optimal transport
November 12, 2017
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Computer Science
Statistics
Machine Learning
Machine Learning
In this paper, we formulate the problem of inferring a Finite Mixture Model
from discrete data as an optimal transport problem with entropic regularization
of parameter λ≥0. Our method unifies hard and soft clustering, the
Expec...
Bundle methods with quadratic cuts for deterministic and stochastic
strongly convex optimization problems
November 9, 2017
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Mathematics
Optimization and Control
We introduce two new methods for deterministic convex optimization problems:
QCC (Quadratic Cuts for Convex optimization) and QB (Quadratic Bundle method).
We prove the complexity of these methods for composite optimization problems
which a...
Outward Sodium Current, Fine-structure Constant and Ferroelectric
Hysteresis Regimes in the Giant Squid Axon Propagating Action Potential: a
Phase Space Approach
November 9, 2017
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Quantitative Biology
Other Quantitative Biology
A phase space cable equation for the propagation of the functioning action
potential is derived. Plots of the ionic current in the recovery region reveal
the presence of two outward currents with quasilinear segments. The first one
has neve...
Optimal portfolios with anticipating information on the stochastic
interest rate
November 9, 2017
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Quantitative Finance
Mathematics
Pricing of Securities
Probability
By employing the technique of enlargement of filtrations, we demonstrate how
to incorporate information about the future trend of the stochastic interest
rate process into a financial model. By modeling the interest rate as an affine
diffus...
A logic for temporal conditionals and a solution to the Sea Battle
Puzzle
November 8, 2017
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Computer Science
Logic in Computer Science
Temporal reasoning with conditionals is more complex than both classical
temporal reasoning and reasoning with timeless conditionals, and can lead to
some rather counter-intuitive conclusions. For instance, Aristotle's famous
"Sea Battle To...
Whirling injections, surjections, and other functions between finite
sets
November 7, 2017
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Mathematics
Combinatorics
This paper analyzes a certain action called "whirling" that can be defined on
any family of functions between two finite sets equipped with a linear (or
cyclic) ordering. Many maps of interest in dynamical algebraic combinatorics,
such as r...
Jet Activity in the Central Super Massive Black Hole of the Milky Way in
4th and 14th centuries and millennium periods of climate change
November 6, 2017
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Physics
History and Philosophy of Physics
Astrophysics of Galaxies
This paper discusses the historical evidence for the light jets from the
central Super Massive Black Hole of Galaxy in the 4th and 14th centuries. We
suggest that the apparitions of a "lightening cross" recorded in 312, 351, 1317
and 1377 y...
Tropical formulae for summation over a part of SL(2, Z)
November 6, 2017
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Mathematics
Number Theory
Algebraic Geometry
Combinatorics
Symplectic Geometry
Let f(a,b,c,d)=a2+b2+c2+d2−(a+c)2+(b+d)2, let
(a,b,c,d) stand for a,b,c,d∈Z≥0 such that ad−bc=1.
Define \begin{equation} \label{eq_main} F(s) = \sum_{(a,b,c,d)} f(a,b,c,d)^s.
\end{equation...
Lattice theory of torsion classes: Beyond τ-tilting theory
November 6, 2017
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Mathematics
Representation Theory
Combinatorics
Rings and Algebras
The aim of this paper is to establish a lattice theoretical framework to
study the partially ordered set torsA of torsion
classes over a finite-dimensional algebra A. We show that
$\operatorname{\mathsf{tors}} A...