This paper presents an approach to summing a few families of infinite series
involving hyperbolic functions, some of which were first studied by Ramanujan.
The key idea is based on their contour integral representations and residue
computat...
Capacity Results for Intermittent X-Channels with Delayed Channel State
Feedback
January 9, 2018
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Computer Science
Mathematics
Information Theory
Information Theory
Information Theory
Information Theory
We characterize the capacity region of noiseless X-Channels with intermittent
connectivity and delayed channel state information at the transmitters. We
consider the general case in which each transmitter has a common message for
both recei...
Characteristic Time Scales for the Geometry Transition of a Black Hole
to a White Hole from Spinfoams
January 9, 2018
|
Physics
General Relativity and Quantum Cosmology
Quantum fluctuations of the metric provide a decay mechanism for black holes,
through a transition to a white hole geometry. Old perplexing results by Ambrus
and H\'aj\'i\v{c}ek and more recent results by Barcel\'o, Carballo-Rubio and
Garay...
The Hypotheses on Expansion of Iterated Stratonovich Stochastic
Integrals of Arbitrary Multiplicity and Their Partial Proof
January 9, 2018
Mathematics
Probability
In this article we consider theorems on expansions of iterated Ito and
Stratonovich stochastic integrals. These theorems open up a new direction for
study of iterated Ito and Stratonovich stochastic integrals. The expansions
based on multip...
Dynamic Clearing and Contagion in Financial Networks
January 6, 2018
| |
Quantitative Finance
Mathematical Finance
Risk Management
In this paper we introduce a generalized extension of the Eisenberg-Noe model
of financial contagion to allow for time dynamics of the interbank liabilities,
including a dynamic examination of default risk. This framework separates the
cash...
A Note on Norton's Dome
January 5, 2018
Physics
Classical Physics
History and Philosophy of Physics
"Norton's Dome" is an example of a Newtonian system that violates the
Lipschitz condition at a single point, leading to non-unique solutions
(indeterminism). Here we reformulate this problem into a "weak" form (in the
sense of distributions...
NGC 4993, the shell galaxy host of GW170817: constraints on the recent
galactic merger
January 4, 2018
| | | | | | |
Physics
Astrophysics of Galaxies
High Energy Astrophysical Phenomena
Astrophysics of Galaxies
High Energy Astrophysical Phenomena
NGC 4993 is the shell galaxy host of the GRB170817A short gamma-ray burst and
the GW170817 gravitational-wave event produced during a binary-neutron-star
coalescence. The galaxy shows signs, including the stellar shells, that it has
recentl...
Neutron structure function via a maximum entropy analysis
January 3, 2018
| | | | |
Physics
High Energy Physics - Phenomenology
High Energy Physics - Phenomenology
We employ the maximum entropy method to extract the valence quark
distributions of the neutron at a low scale, Q02.
At this initial scale, the neutron is defined to contain only three valence
quarks, with no contributions from sea...
Higgs Decays to ZZ and Zγ in the SMEFT: an NLO analysis
January 3, 2018
|
Physics
High Energy Physics - Phenomenology
We calculate the complete one-loop electroweak corrections to the inclusive
H→ZZ and H→Zγ decays in the dimension-6
extension of the Standard Model Effective Field Theory (SMEFT). The corrections
to $H\right...
Nonlinear stability of self-gravitating massive fields
December 28, 2017
|
Mathematics
Physics
Analysis of PDEs
General Relativity and Quantum Cosmology
We consider the global evolution problem for Einstein's field equations in
the near-Minkowski regime and study the long-time dynamics of a massive scalar
field evolving under its own gravitational field. We establish the existence of
a glob...