On the first Hardy-Littlewood conjecture and the Bateman-Horn conjecture
June 2, 2015
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Mathematics
Number Theory
Number Theory
The paper studies a new approach to estimating the distribution of prime
tuples. This approach uses analytical sieve methods and the Chinese remainder
theorem. It is proved that the expected number of prime tuples, not exceeding
some natura...
Integrable discretization of the vector/matrix nonlinear Schr\"odinger
equation and the associated Yang-Baxter map
May 29, 2015
Physics
Mathematics
Pattern Formation and Solitons
Mathematical Physics
Mathematical Physics
Exactly Solvable and Integrable Systems
The action of a B\"acklund-Darboux transformation on a spectral problem
associated with a known integrable system can define a new discrete spectral
problem. In this paper, we interpret a slightly generalized version of the
binary B\"acklun...
Asymmetric factorization method on supersymmetry: Complex operators
May 19, 2015
Physics
Quantum Physics
We propose asymmetric factorization method for supersymmetry involving
complex operators.Model Hamiltonians satisfy supersymmetric energy conditions
En(+)=En+1(−); E0(−)=0....
An asymptotic shape theorem for random linear growth models
May 19, 2015
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Mathematics
Probability
In this paper, we define a class of random growth models whose growth is at
least and at most linear and prove an asymptotic shape theorem for these
models. This proof generalizes already known proofs for the classical contact
process or so...
On the Chow ring of the Hurwitz space of degree three covers of P1
May 16, 2015
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Mathematics
Algebraic Geometry
We determine that the Chow ring (with Q-coefficients) of the Hurwitz
space parametrizing degree three covers of P1 is tautological. We
also compute the rational Picard groups of auxiliary spaces of degree three
maps with ...
The stratification of regolith on celestial objects
May 12, 2015
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Physics
Earth and Planetary Astrophysics
All atmosphere-less planetary bodies are covered with a dust layer, the
so-called regolith, which determines the optical, mechanical and thermal
properties of their surface. These properties depend on the regolith material,
the size distrib...
An analytic invariant of G_2 manifolds
May 11, 2015
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Mathematics
Geometric Topology
Differential Geometry
We prove that the moduli space of holonomy G_2-metrics on a closed 7-manifold
is in general disconnected by presenting a number of explicit examples.
We detect different connected components of the G_2-moduli space by defining
an integer-...
Golden Probe of the Top Yukawa
May 5, 2015
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Physics
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Phenomenology
High Energy Physics - Experiment
We perform a preliminary study of the ability of the Higgs decay to four
leptons to shed light on the top quark Yukawa couplings. In particular we
examine whether the h→4ℓ `golden channel' is sensitive to the CP
properties of the ...
Thirty Meter Telescope International Observatory Detailed Science Case
2024
May 5, 2015
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Physics
Instrumentation and Methods for Astrophysics
Cosmology and Nongalactic Astrophysics
Earth and Planetary Astrophysics
Astrophysics of Galaxies
High Energy Astrophysical Phenomena
The Thirty Meter Telescope (TMT) International Observatory (TIO) will be a
revolutionary leap forward in astronomical observing capabilities, enabling us
to address some of the most profound questions about the universe. From
unraveling the...
Quasiregular mappings between equiregular SubRiemannian manifolds
May 5, 2015
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Mathematics
Complex Variables
Complex Variables
In this paper, we provide an alternative appraoch to an expectaion of
F\"assler et al [J. Geom. Anal. 2016] by showing that a metrically quasiregular
mapping between two equiregular subRiemannian manifolds of homogeneous
dimension Q≥2...