Curvature estimates for the level sets of solutions of the
Monge-Amp\`{e}re equation detD2u=1
May 12, 2013
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Mathematics
Analysis of PDEs
For the Monge-Amp\`{e}re equation detD2u=1, we find new auxiliary
curvature functions which attain respective maximum on the boundary. Moreover,
we obtain the upper bounded estimates for the Gauss curvature and mean
curvature of the l...
On the Galois-module structure of polydifferentials of
Artin-Schreier-Mumford curves, modular and integral representation theory
May 7, 2013
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Mathematics
Algebraic Geometry
Number Theory
Algebraic Geometry
Number Theory
We study the Galois-module structure of polydifferentials for Mumford curves,
defined over a field of positive charactersitic, using the theory of harmonic
cocycles. For the case of Artin-Schreier-Mumford curves the structure of
holomorphic...
On limit set of KdV flow: An extension of Remling theorem
April 24, 2013
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Mathematics
Spectral Theory
Spectral Theory
C. Remling obtained a theorem on limit set of the shift operation on a space
of functions on R when the associated 1-D half line Schr\"odinger operators
have absolutely continuous component in their spectrum. The purpose of the
paper is to ...
On the probability of being synchronizable
April 21, 2013
Computer Science
Mathematics
Formal Languages and Automata Theory
Discrete Mathematics
Combinatorics
We prove that a random automaton with n states and any fixed non-singleton
alphabet is synchronizing with high probability (modulo an unpublished result
about unique highest trees of random graphs). Moreover, we also prove that the
conver...
Commutativity properties of Quinn spectra
April 17, 2013
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Mathematics
Algebraic Topology
We give a simple sufficient condition for Quinn's "bordism-type" spectra to
be weakly equivalent to commutative symmetric ring spectra. We also show that
the symmetric signature is (up to weak equivalence) a monoidal transformation
between ...
Extending the parking space
March 21, 2013
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Mathematics
Combinatorics
The action of the symmetric group Sn on the set Parkn of parking
functions of size n has received a great deal of attention in algebraic
combinatorics. We prove that the action of Sn on Parkn extends to an
action of Sn+1....
Performance of the stochastic MV-PURE estimator in highly noisy settings
March 20, 2013
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Statistics
Mathematics
Applications
Statistics Theory
Statistics Theory
The stochastic minimum-variance pseudo-unbiased reduced-rank estimator
(stochastic MV-PURE estimator) has been developed to provide linear estimation
with robustness against high noise levels, imperfections in model knowledge,
and ill-condi...
Encyclopaedia Inflationaris
March 15, 2013
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Physics
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
The current flow of high accuracy astrophysical data, among which are the
Cosmic Microwave Background (CMB) measurements by the Planck satellite, offers
an unprecedented opportunity to constrain the inflationary theory. This is
however a ch...
A Class of Incomplete Character Sums
March 14, 2013
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Mathematics
Algebraic Geometry
Number Theory
Algebraic Geometry
Number Theory
Using ℓ-adic cohomology of tensor inductions of lisse Qℓ-sheaves, we study a class of incomplete character sums....
Extended Fourier analysis of signals
March 8, 2013
Computer Science
Mathematics
Data Structures and Algorithms
Information Theory
Numerical Analysis
Information Theory
This summary of the doctoral thesis is created to emphasize the close
connection of the proposed spectral analysis method with the Discrete Fourier
Transform (DFT), the most extensively studied and frequently used approach in
the history of...