Motivic correlators, cluster varieties and Zagier's conjecture on
zeta(F,4)
March 22, 2018
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Mathematics
Number Theory
Algebraic Geometry
Number Theory
Algebraic Geometry
We prove Zagier's conjecture on the value at s=4 of the Dedekind
zeta-function of a number field F. For any field F, we define a map from the
appropriate pieces of algebraic K-theory of F to the cohomology of the weight 4
polylogarithmic mo...
Multiple Models for Recommending Temporal Aspects of Entities
March 21, 2018
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Computer Science
Information Retrieval
Machine Learning
Entity aspect recommendation is an emerging task in semantic search that
helps users discover serendipitous and prominent information with respect to an
entity, of which salience (e.g., popularity) is the most important factor in
previous w...
Transit Photometry as an Exoplanet Discovery Method
March 21, 2018
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Physics
Earth and Planetary Astrophysics
Photometry with the transit method has arguably been the most successful
exoplanet discovery method to date. A short overview about the rise of that
method to its present status is given. The method's strength is the rich set of
parameters ...
Towards observation of three-nucleon short-range correlations in high
Q^2 A(e, e')X reactions
March 20, 2018
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Physics
Nuclear Theory
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
We present a detailed study of kinematical and dynamical conditions necessary
for probing highly elusive three-nucleon short range correlations~(3N-SRCs) in
nuclei through inclusive electron scattering. The kinematic requirements that
shoul...
Internal spin resistance of spin batteries
March 19, 2018
Physics
Mesoscale and Nanoscale Physics
For spin batteries we introduce the concept of internal spin resistance which
quantifies the amount of backflow from the load to the battery. It allows to
relate through a Thevenin-Norton relation, spin current sources to spin
accumulation ...
Lossless Analog Compression
March 19, 2018
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Mathematics
Computer Science
Functional Analysis
Information Theory
Information Theory
We establish the fundamental limits of lossless analog compression by
considering the recovery of arbitrary m-dimensional real random vectors x from
the noiseless linear measurements y=Ax with n x m measurement matrix A. Our
theory is inspi...
An extended type system with lambda-typed lambda-expressions (extended
version)
March 17, 2018
Computer Science
Logic in Computer Science
We present the type system d, an extended type system with
lambda-typed lambda-expressions. It is related to type systems originating from
the Automath project. d extends existing lambda-typed systems by an
existential...
Strings and missing wormhole entanglement
March 16, 2018
Physics
High Energy Physics - Theory
I show that holographic calculations of entanglement entropy in the context
of AdS bulk space modified by wormhole geometries provide the expected
entanglement magnitude. This arises in the context of string theory by means of
additional ge...
Shellability of face posets of electrical networks and the CW poset
property
March 16, 2018
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Mathematics
Combinatorics
We prove a conjecture of Thomas Lam that the face posets of stratified spaces
of planar resistor networks are shellable. These posets are called uncrossing
partial orders. This shellability result combines with Lam's previous result
that th...
Explicit equations for exterior square of the general linear group
March 15, 2018
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Mathematics
Group Theory
Representation Theory
We present several explicit systems of equations defining exterior square of
the general linear group as an affine group scheme. Algebraic ingredients of
the equations, exterior numbers, are translated into the language of weight
diagrams c...