Orientations of Morse flow trees in Legendrian contact homology
January 27, 2016
Mathematics
Symplectic Geometry
Let Λ be a closed, connected, spin Legendrian submanifold of the
1-jet space of a smooth n-dimensional manifold. We give a coherent
orientation scheme for the moduli space of rigid Morse flow trees of Λ,
implying that the ...
Fundamental Limits of Covert Communication over Classical-Quantum
Channels
January 25, 2016
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Physics
Computer Science
Mathematics
Quantum Physics
Information Theory
Information Theory
Quantum Physics
Information Theory
Information Theory
We investigate covert communication over general memoryless classical-quantum
channels with fixed finite-size input alphabets. We show that the square root
law (SRL) governs covert communication in this setting when product of n
input sta...
Primordial black hole formation from cosmological fluctuations
January 23, 2016
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Physics
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Primordial black holes (PBHs) are those which may have formed in the early
Universe and affected the subsequent evolution of the Universe through their
Hawking radiation and gravitational field. To constrain the early Universe from
the obse...
On the capacity functional of the infinite cluster of a Boolean model
January 19, 2016
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Mathematics
Probability
The original 2017 version of this paper, published in Ann. Appl. Probab., 27,
1678--1801, contains a major gap in the proofs. In the subsequent publication
in Ann. Appl. Probab., 34, 3370--3374, 2024, we indicated how to fix this. For
conve...
Detection Time Distribution for Several Quantum Particles
January 15, 2016
Physics
Quantum Physics
We address the question of how to compute the probability distribution of the
time at which a detector clicks, in the situation of n non-relativistic
quantum particles in a volume Ω⊂R3 in physical space
and detecto...
Cusps in the quench dynamics of a Bloch state
January 14, 2016
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Physics
Quantum Physics
We report some nonsmooth dynamics of a Bloch state in a one-dimensional tight
binding model with the periodic boundary condition. After a sudden change of
the potential of an arbitrary site, quantities like the survival probability of
the p...
Variable Modified Newtonian Mechanics I: Single Metric Universe
January 3, 2016
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Physics
Cosmology and Nongalactic Astrophysics
A few years ago Baker \cite{baker} proposed a metric which interpolates
smoothly between the Schwarzschild metric at small scales and the
Friedmann-Lemai^tre-Robertson - Walker (FLRW) metric at large scales
which was rejected as inco...
Anisotropic emission of direct photons from Au+Au collisions at sNN=200GeV with EPOS3 and IP-Glasma
December 29, 2015
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Physics
Nuclear Theory
High Energy Physics - Phenomenology
The observed large elliptic flow (v2) of direct photons in relativistic
heavy ion collisions challenges us to explain. In this paper we consider only
two sources of direct photons, prompt photons and thermal photons. Prompt
photons are c...
Ideal quantum gases: A geometrothermodynamic approach
December 29, 2015
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Physics
Mathematics
General Relativity and Quantum Cosmology
Mathematical Physics
Mathematical Physics
We derive the fundamental thermodynamic equation for Fermi-Dirac and
Bose-Einstein quantum gases, which contains the first order contribution due to
the quantum nature of the gas particles. Then, we analyze the fundamental
equation in the c...
On algebraic congruence varieties over semirings
December 26, 2015
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Mathematics
Rings and Algebras
Algebraic Geometry
Rings and Algebras
Algebraic Geometry
In this paper, we develop some foundations for a theory of algebraic
varieties of congruences on commutative semirings. By studying the structure of
congruences, firstly, we show that the spectrum Specc(A)
consisting of prime ...