Precise asymptotics near a generic S1×R3
singularity of mean curvature flow
April 8, 2019
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Mathematics
Differential Geometry
Analysis of PDEs
In the present paper we study a type of generic singularity of mean curvature
flow modelled on the bubble-sheet S1×R3 , and we
derive an asymptotic profile for a neighborhood of singularity....
Adiabatic Limit, Theta Function, and Geometric Quantization
April 8, 2019
Mathematics
Symplectic Geometry
Differential Geometry
Let π:(M,ω)→B be a non-singular Lagrangian torus fibration
on a complete base B with prequantum line bundle (L,∇L)→(M,ω). Compactness on M is not assumed. For a positive integer N and
a comp...
The Superstatistics of confined ants: From serenity to panic
April 5, 2019
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Quantitative Biology
Populations and Evolution
Nonequilibrium systems with strong parameter fluctuations are difficult to
describe with ordinary Statistical Mechanics. Superstatistics -- that can be
seen as statistics of an statistics -- has emerged as a tool able to describe
these comp...
Majorana stellar representation for mixed-spin (s,21) systems
April 4, 2019
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Physics
Quantum Physics
By describing the evolution of a quantum state with the trajectories of the
Majorana stars on a Bloch sphere, Majorana's stellar representation provides an
intuitive geometric perspective to comprehend a quantum system with
high-dimensional...
Two dimensional Nearly de Sitter gravity
April 3, 2019
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Physics
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We study some aspects of the de Sitter version of Jackiw-Teitelboim gravity.
Though we do not have propagating gravitons, we have a boundary mode when we
compute observables with a fixed dilaton and metric at the boundary. We compute
the no...
A Simple Joint Model for Improved Contextual Neural Lemmatization
April 3, 2019
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Computer Science
Computation and Language
English verbs have multiple forms. For instance, talk may also appear as
talks, talked or talking, depending on the context. The NLP task of
lemmatization seeks to map these diverse forms back to a canonical one, known
as the lemma. We pres...
Projection of root systems
April 3, 2019
Mathematics
Representation Theory
Let a be a real euclidean vector space of finite dimension and Σ a
root system in a with a basis Δ. Let Θ⊂Δ and M=MΘ be a standard Levi of a reductive group G such that $a_\Theta =
a_M / a...
On the Cauchy problem for semilinear thermoelastic plate systems in the
Lq framework
April 1, 2019
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Mathematics
Analysis of PDEs
We mainly consider semilinear thermoelastic plate systems with general power
nonlinearities in the whole space Rn. By applying the Fourier
analysis, some sharp (Lq∩Lm)−Lq estimates of solutions (with any
$1\leqslant m\l...
Large AdS6 black holes from CFT5
April 1, 2019
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Physics
High Energy Physics - Theory
We study supersymmetric AdS6 black holes at large angular momenta, from
the index of 5d SCFTs on S4×R in the large N and Cardy
limit. Our examples are the strong coupling limits of 5d gauge theories on the
D4-D8-O8 sys...
Non-compact quantum spin chains as integrable stochastic particle
processes
April 1, 2019
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Physics
Mathematics
Mathematical Physics
Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
Probability
In this paper we discuss a family of models of particle and energy diffusion
on a one-dimensional lattice, related to those studied previously in
[Sasamoto-Wadati], [Barraquand-Corwin] and [Povolotsky] in the context of KPZ
universality cla...