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Finitely Suslinian models for planar compacta with applications to Julia sets
Continuum finitely Suslinian locally connected monotone map
2010/12/1
A compactum X C is unshielded if it coincides with the boundary of the unbounded component of C\X. Call a compactum X finitely Suslinian if every collection of pairwise disjoint subcontinua of X who...
Unexpected systematic degeneracy in a system of two coupled Gaudin models with homogeneous couplings
Unexpected systematic degeneracy two coupled Gaudin models homogeneous couplings
2010/12/15
We report an unexpected systematic degeneracy between di erent multiplets in an inversion symmetric system of two coupled Gaudin models with homogeneous couplings, as occurring for example in the cont...
Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion
Local Global Well-Posedness Aggregation Equations Patlak-Keller-Segel Models Degenerate Diffusion
2010/12/6
Recently, there has been a wide interest in the study of aggregation equations and Patlak-Keller-Segel (PKS) models for chemotaxis with degenerate diffusion. The focus of this paper is the unification...
Solvable Models Of Infrared Gupta-Bleuler Quantum Electrodynamics
Infrared Problem Quantum Electrodynamics Local Gauge Quantization Solvable Models
2010/11/29
Solvable hamiltonian models are employed to investigate the extent and limitations of the procedures adopted in the perturbative treatment of the infrared divergences, occurring in the Feynman-Dyson e...
Mafia (also called Werewolf) is a party game. The participants are divided into two competing
groups: citizens and a mafia. The objective is to eliminate the opponent group. The game consists of two ...
Multi-scale turbulence modeling and maximum information principle. Part 1
Multi-scale turbulence modeling maximum information principle
2010/12/15
We discuss averaged turbulence modeling of multi-scales of length for an incompressible Newtonian fluid, with the help of the maximum information principle. We suppose that there exists a function bas...
$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy
Polytropic gas di usive entropy
2010/12/1
We establish the global existence of L1 solutions for a model of polytropic gas ow with di usive entropy. The result is obtained by showing the convergence of a class of nite di erence schemes, whic...
An 4n-point Interpolation Formula for Certain Polynomials
4n-point Interpolation Formula Certain Polynomials
2010/12/6
By using some techniques of the divided difference operators, we establish an 4n-point interpolation formula. Certain polynomials, such as Jackson’s 8 7 terminating summation formula, are special case...
Quasi-modular forms attached to Hodge structures
Polarized Hodge structure Griffiths transversality
2010/12/13
The space D of Hodge structures on a fixed polarized lattice is known as Griffiths period domain and its quotient by the isometry group of the lattice is the moduli of polarized Hodge structures of a ...
An adaptive algorithm for the cornea modeling from keratometric data
Zernike polynomials surface reconstruction surface modeling corneal irregularities
2010/12/15
In this paper we describe an adaptive and multi-scale algorithm for the parsimonious t of the corneal surface data that allows to adapt the number of functions used in the econstruction to the condit...
Lecture notes on variational models for incompressible Euler equations
variational models incompressible Euler equations
2010/12/8
These notes briefly summarize the lectures for the Summer School ”Optimal transportation:
Theory and applications” held by the second author in Grenoble during the week of June 22-
26, 2009. Their g...
Spin-spin correlation functions of the q-VBS state of an integer spin model
Spin-spin correlation functions q-VBS state integer spin model
2010/12/9
We consider the valence-bond-solid ground state of the q-deformed higher-spin AKLT model (q-VBS state). We investigate the eigenvalues and eigenvectors of a matrix (G matrix), which is constructed fro...
Templates for Convex Cone Problems with Applications to Sparse Signal Recovery
Optimal rst-order methods Nesterov's accelerated descent algorithms
2010/12/3
This paper develops a general framework for solving a variety of convex cone problems that
frequently arise in signal processing, machine learning, statistics, and other elds. The approach works as ...
Models of Laminated Piezoelectric Beams Including Effect of Transverse Interactions Between Different Layers
Models of Laminated Piezoelectric Beams Transverse Interactions Different Layers
2010/12/13
The present work attempts to present a consistent and efficient approach to piezoelectric laminated beams..The influence of hypotheses on three-dimensional sectional deformations and stress distributi...
True nature of long-range order in a plaquette orbital model
Rigorous results in statistical mechanics Classical phase transitions
2010/12/16
We analyze the classical version of a plaquette orbital model that was recently introduced and studied numerically by S. Wenzel and W. Janke.