Field-induced electronic phase separation in the high-temperature
superconductor La1.94Sr0.06CuO4+y
January 26, 2021
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Physics
Superconductivity
We present a combined neutron diffraction and high field muon spin rotation
(μSR) study of the magnetically ordered and superconducting phases of the
high-temperature superconductor La1.94Sr0.06CuO4+y ($T_{\rm c} =
37.5(2...
Ax-Schanuel for variations of mixed Hodge structures
January 26, 2021
Mathematics
Number Theory
Algebraic Geometry
We give properties of the real-split retraction of the mixed weak
Mumford-Tate domain and prove the Ax-Schanuel property of period mappings
arising from variations of mixed Hodge structures. An ingredient in the proof
is the definability of...
Equidistribution in Families of Abelian Varieties and Uniformity
January 25, 2021
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Mathematics
Number Theory
Algebraic Geometry
Number Theory
Algebraic Geometry
Using equidistribution techniques from Arakelov theory as well as recent
results obtained by Dimitrov, Gao, and Habegger, we deduce uniform results on
the Manin-Mumford and the Bogomolov conjecture. For each given integer g≥2, we pro...
Quantum electrodynamical formulation of photochemical acid generation
and its implications on optical lithography
January 25, 2021
Physics
Chemical Physics
Optics
The photochemical acid generation is refined from the first principles of
quantum electrodynamics. First, we briefly review the formulation of the
quantum theory of light based on the quantum electrodynamics framework to
establish the proba...
Weak quasi-Hopf algebras, C*-tensor categories and conformal field
theory, and the Kazhdan-Lusztig-Finkelberg theorem
January 25, 2021
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Mathematics
Physics
Quantum Algebra
High Energy Physics - Theory
Mathematical Physics
Mathematical Physics
Operator Algebras
We discuss tensor categories motivated by CFT, their unitarizability and
applications to various models including the affine VOAs. We discuss
classification of type A Verlinde fusion categories. We propose an approach to
Kazhdan-Lusztig-Fin...
2-generated axial algebras of Monster type
January 25, 2021
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Mathematics
Rings and Algebras
Group Theory
In this paper we provide the basic setup for a project, initiated by Felix
Rehren, aiming at classifying all 2-generated primitive axial agebras of
Monster type (α,β). We first revise Rehren's construction of an
initial object...
Relative vanishing theorems for Q-schemes
January 25, 2021
Mathematics
Algebraic Geometry
Commutative Algebra
We prove the relative Grauert-Riemenschneider vanishing, Kawamata-Viehweg
vanishing, and Koll\'ar injectivity theorems for proper morphisms of schemes of
equal characteristic zero, solving conjectures of Boutot and Kawakita. Our
proof uses ...
Channel Estimation via Successive Denoising in MIMO OFDM Systems: A
Reinforcement Learning Approach
January 25, 2021
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Electrical Engineering and Systems Science
Computer Science
Signal Processing
Machine Learning
In general, reliable communication via multiple-input multiple-output (MIMO)
orthogonal frequency division multiplexing (OFDM) requires accurate channel
estimation at the receiver. The existing literature largely focuses on
denoising method...
Filtered formal groups, Cartier duality, and derived algebraic geometry
January 25, 2021
Mathematics
K-Theory and Homology
Algebraic Topology
Algebraic Geometry
We develop a notion of formal groups in the filtered setting and describe a
duality relating these to a specified class of filtered Hopf algebras. We then
study a deformation to the normal cone construction in the setting of derived
algebra...
CPT: Efficient Deep Neural Network Training via Cyclic Precision
January 24, 2021
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Computer Science
Machine Learning
Machine Learning
Low-precision deep neural network (DNN) training has gained tremendous
attention as reducing precision is one of the most effective knobs for boosting
DNNs' training time/energy efficiency. In this paper, we attempt to explore
low-precision...