It is possible to describe a universal scalar field of time but not a
universal coordinate of time and to attribute its non-geodesic alignment to the
electromagnetic phenomena. A very surprising outcome is that not only mass
generates gravi...
Mixed ℓ-adic complexes for schemes over number fields
June 8, 2018
Mathematics
Algebraic Geometry
If X is a variety over a number field, Annette Huber has defined a category
of "horizontal" (or "almost everywhere unramified") ℓ-adic complexes and
ℓ-adic perverse sheaves on X. For such objects, the notion of weights
makes s...
A topological material in the III-V family: heteroepitaxial InBi on InAs
June 8, 2018
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Physics
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
InBi(001) is formed epitaxially on InAs(111)-A by depositing Bi on to an
In-rich surface. Angle-resolved photoemission measurements reveal topological
electronic surface states, close to the M bar high symmetry point. This
demonstrates a he...
Causal effects based on distributional distances
June 7, 2018
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Statistics
Computer Science
Machine Learning
Machine Learning
Methodology
Comparing counterfactual distributions can provide more nuanced and valuable
measures for causal effects, going beyond typical summary statistics such as
averages. In this work, we consider characterizing causal effects via
distributional d...
Dynamic risk measures with fluctuation of market volatility under
Bochne-Lebesgue space
June 4, 2018
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Quantitative Finance
Mathematics
Risk Management
Probability
Starting from the global financial crisis to the more recent disruptions
brought about by geopolitical tensions and public health crises, the volatility
of risk in financial markets has increased significantly. This underscores the
necessit...
Fast Polynomial Root-Finding and Approximation of the Eigenvalues of a
Matrix
May 30, 2018
Computer Science
Numerical Analysis
Univariate polynomial root-finding has been studied for four millennia and
very intensively in the last decades. Our new near-optimal root-finders
approximate all zeros of a polynomial p almost as fast as one accesses its
coefficients with ...
Tilting Approximate Models
May 28, 2018
Economics
Econometrics
Model approximations are common practice when estimating structural or
quasi-structural models. The paper considers the econometric properties of
estimators that utilize projections to reimpose information about the exact
model in the form ...
How Electrons Spin
May 26, 2018
Physics
General Physics
Popular Physics
There are a number of reasons to think that the electron cannot truly be
spinning. Given how small the electron is generally taken to be, it would have
to rotate superluminally to have the right angular momentum and magnetic
moment. Also, t...
Size-varying reversible causal graph dynamics
May 25, 2018
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Computer Science
Discrete Mathematics
Consider a network that evolves according to a reversible, nearest neighbours
dynamics. Is the dynamics allowed to vary the size of the network? On the one
hand it seems that, being the principal carriers of information, nodes cannot
be des...
Reconciliation of weak pairwise spike-train correlations and highly
coherent local field potentials across space
May 25, 2018
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Quantitative Biology
Neurons and Cognition
Multi-electrode arrays covering several square millimeters of neural tissue
provide simultaneous access to population signals such as extracellular
potentials and spiking activity of one hundred or more individual neurons. The
interpretatio...