Boltzmann Diffusive Limit with Maxwell Boundary Condition
September 18, 2018
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Mathematics
Analysis of PDEs
Analysis of PDEs
Diffusive limit from the Boltzmann equation to the incompressible
Navier-Stokes-Fourier system was established for the celebrated Maxwell
boundary condition in the framework of renormalized solutions by
Saint-Raymond2009 and Jiang-Masmoudi2...
Moduli of Nodal Sextic Curves via Periods of K3 Surfaces
September 18, 2018
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Mathematics
Algebraic Geometry
In this paper we study the moduli spaces of nodal sextic curves. We realize
each irreducible component of the GIT space of sextic curves with given number
of nodes as an open subspace of type IV arithmetic quotients. We then focus on
the co...
On the fundamental group schemes of certain quotient varieties
September 18, 2018
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Mathematics
Algebraic Geometry
In \cite{armstrong}, M. Armstrong proved a beautiful result describing
fundamental groups of quotient spaces. In this paper we prove an analogue of
Armstrong's theorem in the setting of F-divided \cite{dS07} and essentially
finite \cite{N...
Getting the tiger by the tail: Probing the turnaround radius of
structures with outer halo density profiles
September 17, 2018
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Physics
Cosmology and Nongalactic Astrophysics
In this paper we develop a new semianalytical approach to quantifying the
density profile of outer dark matter halos, motivated by the remarkable
universality those profiles, for a wide range of dynamical parameters of the
inner halos. We s...
Stochastic differential equations for infinite particle systems of jump
type with long range interactions
September 16, 2018
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Mathematics
Probability
Infinite-dimensional stochastic differential equations (ISDEs) describing
systems with an infinite number of particles are considered. Each particle
undergoes a L\'evy process, and the interaction between particles is determined
by the long...
Information Acquisition and Time-Risk Preference
September 13, 2018
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Economics
Theoretical Economics
An agent acquires information dynamically until her belief about a binary
state reaches an upper or lower threshold. She can choose any signal process
subject to a constraint on the rate of entropy reduction. Strategies are
ordered by "time...
A Hodge filtration of logarithmic vector fields for well-generated
complex reflection groups
September 13, 2018
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Mathematics
Differential Geometry
Combinatorics
Group Theory
Given an irreducible well-generated complex reflection group, we construct an
explicit basis for the module of vector fields with logarithmic poles along its
reflection arrangement. This construction yields in particular a Hodge
filtration ...
Computation of the one-loop spectral QCD running coupling using
covariant spectral regularization
September 12, 2018
Physics
Mathematics
General Physics
Mathematical Physics
Mathematical Physics
In this paper the spectral QCD vacuum polarization tensor is computed in
order to determine and display the (one-loop) spectral QCD running coupling.
Through an application of the technique we call covariant spectral
regularization the dens...
C*-algebras of stable rank one and their Cuntz semigroups
September 11, 2018
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Mathematics
Operator Algebras
Operator Algebras
The uncovering of new structure on the Cuntz semigroup of a C*-algebra of
stable rank one leads to several applications: We answer affirmatively, for the
class of stable rank one C*-algebras, a conjecture by Blackadar and Handelman
on dimen...
Cusp Universality for Random Matrices I: Local Law and the Complex
Hermitian Case
September 11, 2018
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Mathematics
Physics
Probability
Mathematical Physics
Mathematical Physics
For complex Wigner-type matrices, i.e. Hermitian random matrices with
independent, not necessarily identically distributed entries above the
diagonal, we show that at any cusp singularity of the limiting eigenvalue
distribution the local ei...