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...
Differentially Private Release and Learning of Threshold Functions
April 28, 2015
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Computer Science
Cryptography and Security
Machine Learning
Cryptography and Security
Machine Learning
We prove new upper and lower bounds on the sample complexity of (ϵ,δ) differentially private algorithms for releasing approximate answers to
threshold functions. A threshold function cx over a totally ordered domain
X ev...
Relative Error Bound Analysis for Nuclear Norm Regularized Matrix
Completion
April 26, 2015
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Computer Science
Statistics
Machine Learning
Machine Learning
In this paper, we develop a relative error bound for nuclear norm regularized
matrix completion, with the focus on the completion of full-rank matrices.
Under the assumption that the top eigenspaces of the target matrix are
incoherent, we d...
Decoding quantum information via the Petz recovery map
April 17, 2015
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Physics
Computer Science
Mathematics
Quantum Physics
Information Theory
Information Theory
Quantum Physics
Information Theory
Information Theory
We obtain a lower bound on the maximum number of qubits, Qn,ϵ(N), which can be transmitted over n uses of a quantum
channel N, for a given non-zero error threshold ϵ. To
obtain our result, we fi...
Can Almost Everybody be Almost Happy? PCP for PPAD and the
Inapproximability of Nash
April 9, 2015
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Computer Science
Computational Complexity
Computer Science and Game Theory
Computational Complexity
Computer Science and Game Theory
We conjecture that PPAD has a PCP-like complete problem, seeking a near
equilibrium in which all but very few players have very little incentive to
deviate. We show that, if one assumes that this problem requires exponential
time, several o...