A McKean--Vlasov equation with positive feedback and blow-ups
January 23, 2018
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Mathematics
Probability
Analysis of PDEs
We study a McKean--Vlasov equation arising from a mean-field model of a
particle system with positive feedback. As particles hit a barrier they cause
the other particles to jump in the direction of the barrier and this feedback
mechanism le...
Precision big bang nucleosynthesis with improved Helium-4 predictions
January 22, 2018
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Physics
Cosmology and Nongalactic Astrophysics
Nuclear Theory
Cosmology and Nongalactic Astrophysics
Nuclear Theory
Primordial nucleosynthesis is one of the three historical evidences for the
big bang model, together with the expansion of the universe and the cosmic
microwave background. Now that the number of neutrino families and the baryonic
densities...
Vector valued Hardy spaces related to analytic functions having
distributional boundary values
January 20, 2018
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Mathematics
Functional Analysis
The Hardy space Hp of vector valued analytic functions in tube domains
in Cn and with values in Banach space are defined. Vector valued
analytic functions in tube domains in Cn with values in Hilbert
space a...
Pseudogap in electron-doped cuprates: Strong correlation leading to band
splitting
January 12, 2018
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Physics
Superconductivity
Strongly Correlated Electrons
Superconductivity
Strongly Correlated Electrons
The pseudogap phenomena have been a long-standing mystery of the cuprate
high-temperature superconductors. The pseudogap in the electron-doped cuprates
has been attributed to band folding due to antiferromagnetic (AFM) long-range
order or s...
Soft Hair of Dynamical Black Hole and Hawking Radiation
January 11, 2018
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Physics
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Soft hair of black hole has been proposed recently to play an important role
in the resolution of the black hole information paradox. Recent work has
emphasized that the soft modes cannot affect the black hole S-matrix due to
Weinberg soft ...
Reciprocal Hyperbolic Series of Ramanujan Type
January 11, 2018
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Mathematics
Number Theory
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
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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
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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...