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
|
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
| |
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
|
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
| | | |
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...
Optimal actuator design based on shape calculus
November 3, 2017
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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
Optimization and Control
An approach to optimal actuator design based on shape and topology
optimisation techniques is presented. For linear diffusion equations, two
scenarios are considered. For the first one, best actuators are determined
depending on a given ini...
A Comprehensive Low and High-level Feature Analysis for Early Rumor
Detection on Twitter
November 2, 2017
Computer Science
Social and Information Networks
Machine Learning
Recent work have done a good job in modeling rumors and detecting them over
microblog streams. However, the performance of their automatic approaches are
not relatively high when looking early in the diffusion. A first intuition is
that, at...
Approximating quantum channels by completely positive maps with small
Kraus rank
November 2, 2017
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Physics
Mathematics
Quantum Physics
Functional Analysis
Probability
We study the problem of approximating a quantum channel by one with as few
Kraus operators as possible (in the sense that, for any input state, the output
states of the two channels should be close to one another). Our main result is
that a...