Frequentist properties of Bayesian inequality tests
July 1, 2016
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Mathematics
Economics
Statistics
Statistics Theory
Econometrics
Methodology
Statistics Theory
Bayesian and frequentist criteria fundamentally differ, but often posterior
and sampling distributions agree asymptotically (e.g., Gaussian with same
covariance). For the corresponding single-draw experiment, we characterize the
frequentist...
Book crossing numbers of the complete graph and small local convex
crossing numbers
July 1, 2016
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Mathematics
Combinatorics
A k-page book drawing of a graph G is a drawing of G on k
halfplanes with common boundary l, a line, where the vertices are on l
and the edges cannot cross l. The k-page book crossing number of the
graph $ G ...
The rotating normal form of braids is regular
June 29, 2016
Mathematics
Computer Science
Group Theory
Computation and Language
Formal Languages and Automata Theory
Defined on Birman-Ko-Lee monoids, the rotating normal form has strong
connections with the Dehornoy's braid ordering. It can be seen as a process for
selecting between all the representative words of a Birman-Ko-Lee braid a
particular one, ...
Cayley Automatic Groups and Numerical Characteristics of Turing
Transducers
June 27, 2016
Mathematics
Computer Science
Group Theory
Formal Languages and Automata Theory
This paper is devoted to the problem of finding characterizations for Cayley
automatic groups. The concept of Cayley automatic groups was recently
introduced by Kharlampovich, Khoussainov and Miasnikov. We address this problem
by introducin...
Timed Multiset Rewriting and the Verification of Time-Sensitive
Distributed Systems
June 25, 2016
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Computer Science
Logic in Computer Science
Time-Sensitive Distributed Systems (TSDS), such as applications using
autonomous drones, achieve goals under possible environment interference (\eg,
winds). Moreover, goals are often specified using explicit time constraints
which must be s...
Remnants of black holes from rainbow gravity in terms of a new VSL
theory
June 20, 2016
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Physics
General Relativity and Quantum Cosmology
General Relativity and Quantum Cosmology
The gravity's rainbow function is derived in terms of a new varying speed of
light (VSL) theory that varying velocity of light in the rainbow gravity
becomes smaller when the energy of photons increases. In light of the new
theory we calcul...
Almost uniform convergence in noncommutative Dunford-Schwartz ergodic
theorem
June 14, 2016
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Mathematics
Functional Analysis
Functional Analysis
This article gives an affirmative solution to the problem whether the ergodic
Ces\'aro averages generated by a positive Dunford-Schwartz operator in a
noncommutative space Lp(M,τ), 1≤p<∞, converge almost
uniformly ...
Calabi--Yau complete intersections in exceptional Grassmannians
June 13, 2016
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Mathematics
Algebraic Geometry
We classify completely reducible equivariant vector bundles on Grassmannians
of exceptional Lie groups which give Calabi--Yau 3-folds as complete
intersections. In particular, we find a new family of Calabi--Yau 3-folds in an
E6-Grassman...
Rate of convergence of attractors for semilinear singularly perturbed
problems: scalar parabolic equations with localized large diffusion
June 12, 2016
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Mathematics
Analysis of PDEs
In this paper we study the asymptotic nonlinear dynamics of scalar semilinear
parabolic problems reaction-diffusion type when the diffusion coefficient
becomes large in a subregion which is interior to the domain. We obtain, under
suitable ...
Universal Quantum Emulator
June 8, 2016
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Physics
Quantum Physics
We propose a quantum algorithm that emulates the action of an unknown unitary
transformation on a given input state, using multiple copies of some unknown
sample input states of the unitary and their corresponding output states. The
algorit...