The bicomplex Bergman spaces are studied for any bounded bicomplex domain.
Its Bergman kernel is computed in terms of the kernels of the complex
projections of the domain. We also introduce two additional reproducing kernel
Hilbert spaces a...
Contextual Hourglass Network for Semantic Segmentation of High
Resolution Aerial Imagery
October 30, 2018
| |
Computer Science
Computer Vision and Pattern Recognition
Semantic segmentation for aerial imagery is a challenging and important
problem in remotely sensed imagery analysis. In recent years, with the success
of deep learning, various convolutional neural network (CNN) based models have
been devel...
Ball Lightning as a Hot, Highly Charged, Sphere of Air
October 29, 2018
|
Physics
Plasma Physics
Plasma Physics
An exceptionally simple model of ball lightning is proposed that describes it
as a highly charged sphere of hot, conductive, air surrounded by colder air.
This conductive sphere possesses a net excess of charge. This charge will
create a co...
Large AdS black holes from QFT
October 29, 2018
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Physics
High Energy Physics - Theory
We study the index of N=4 Yang-Mills theory on
S3×R at large angular momenta. A generalized Cardy limit
exhibits macroscopic entropy at large N. Our result is derived using free QFT
analysis, and also a backgr...
Coherent cohomology of Shimura varieties and automorphic forms
October 29, 2018
Mathematics
Number Theory
Algebraic Geometry
We show that the cohomology of canonical extensions of automorphic vector
bundles over toroidal compactifications of Shimura varieties can be computed by
relative Lie algebra cohomology of automorphic forms. Our result is inspired by
and pa...
Tamely ramified geometric Langlands correspondence in positive
characteristic
October 29, 2018
Mathematics
Algebraic Geometry
Representation Theory
We prove a version of the tamely ramified geometric Langlands correspondence
in positive characteristic for GLn(k). Let k be an algebraically closed
field of characteristic p>n. Let X be a smooth projective curve over k
with mar...
A set-theoretic analysis of the black hole entropy puzzle
October 29, 2018
Physics
General Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Motivated by the known mathematical and physical problems arising from the
current mathematical formalization of the physical spatio-temporal continuum,
as a substantial technical clarification of our earlier attempt, the aim in
this paper ...
A stacky approach to crystals
October 28, 2018
|
Mathematics
Algebraic Geometry
Number Theory
Algebraic Geometry
Number Theory
Inspired by a theorem of Bhatt-Morrow-Scholze, we develop a stacky approach
to crystals and isocrystals on "Frobenius-smooth" schemes over F_p . This class
of schemes goes back to Berthelot-Messing and contains all smooth schemes over
perfe...
m-adic residue codes over Fq[v]/(vs−v) and their
application to quantum codes
October 28, 2018
| |
Computer Science
Mathematics
Information Theory
Information Theory
Due to their rich algebraic structure, cyclic codes have a great deal of
significance amongst linear codes. Duadic codes are the generalization of the
quadratic residue codes, a special case of cyclic codes. The m-adic residue
codes are t...
Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard system
October 26, 2018
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Mathematics
Analysis of PDEs
Analysis of PDEs
The motion of two contiguous incompressible and viscous fluids is described
within the diffuse interface theory by the so-called Model H. The system
consists of the Navier-Stokes equations, which are coupled with the
Cahn-Hilliard equation ...