Four New Forms of the Taylor-Ito and Taylor-Stratonovich Expansions and
its Application to the High-Order Strong Numerical Methods for Ito Stochastic
Differential Equations
January 28, 2020
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Mathematics
Probability
Probability
The problem of the Taylor-Ito and Taylor-Stratonovich expansions of the Ito
stochastic processes in a neighborhood of a fixed moment of time is considered.
The classical forms of the Taylor-Ito and Taylor-Stratonovich expansions are
transfo...
Understanding North Atlantic Climate Instabilities and Complex
Interactions using Data Science
January 28, 2020
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Statistics
Applications
Applications
The North Atlantic Oscillation (NAO) index, a measure of sea-level
atmospheric pressure variability, holds significant influence over weather
patterns in North America and Northern Europe. A negative (positive) NAO value
signifies increased...
On the dual positive cones and the algebraicity of a compact K\"ahler
manifold
January 28, 2020
Mathematics
Complex Variables
Algebraic Geometry
We investigate the algebraicity of compact K\"ahler manifolds admitting a
positive rational Hodge class of bidimension (1,1). We prove that if the dual
K\"ahler cone of a compact K\"ahler manifold X contains a rational class as
an inter...
Holographic entanglement negativity for disjoint subsystems in
AdSd+1/CFTd
January 28, 2020
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Physics
High Energy Physics - Theory
We propose a construction to compute the holographic entanglement negativity
for bipartite mixed state configurations of two disjoint subsystems in higher
dimensional conformal field theories (CFTds) dual to bulk AdSd+1
geometries. ...
Newton non-degenerate μ-constant deformations admit simultaneous
embedded resolutions
January 28, 2020
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Mathematics
Algebraic Geometry
Let Con+1 denote the germ of Cn+1 at the origin.
Let V be a hypersurface germ in Con+1 and W a deformation of
V over Com. Under the hypothesis that W is a Newton
non-degen...
Invariants of links and 3-manifolds from graph configurations
January 27, 2020
Mathematics
Physics
Geometric Topology
Mathematical Physics
Differential Geometry
Mathematical Physics
In this self-contained book, following Edward Witten, Maxim Kontsevich, Greg
Kuperberg and Dylan Thurston, we define an invariant Z of framed links in
rational homology 3-spheres, and we study its properties. The invariant Z,
which is often...
On the Unruh effect and the Thermofield Double State
January 27, 2020
Physics
High Energy Physics - Theory
The purpose of this review is to provide a pedagogical development of the
Unruh effect and the thermofield double state. In Section 2, we construct
Rindler spacetime and analyze the perspective of an observer undergoing
constant acceleratio...
SeMA: Extending and Analyzing Storyboards to Develop Secure Android Apps
January 27, 2020
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Computer Science
Software Engineering
Cryptography and Security
Programming Languages
Mobile apps provide various critical services, such as banking,
communication, and healthcare. To this end, they have access to our personal
information and have the ability to perform actions on our behalf. Hence,
securing mobile apps is c...
Asymptotic expansion for the Hartman-Watson distribution
January 26, 2020
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Mathematics
Computer Science
Quantitative Finance
Probability
Numerical Analysis
Numerical Analysis
Mathematical Finance
Probability
Numerical Analysis
Numerical Analysis
Mathematical Finance
The Hartman-Watson distribution with density fr(t) is a probability
distribution defined on t≥0 which appears in several problems of applied
probability. The density of this distribution is expressed in terms of an
integral $\thet...
Lipschitz regularity of the invariant measure of Random Dynamical
Systems
January 22, 2020
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Mathematics
Dynamical Systems
Functional Analysis
We consider a class of Random Dynamical Systems and prove that its invariant
measure has a Lipschitz disintegration. As a consequence, we prove exponential
decay of correlations over regular observables. Both results are obtained as an
appl...