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The filling length of an edge-circuit \eta in the Cayley 2-complex of a finite presentation of a group is the minimal integer length L such that there is a combinatorial null-homotopy of \eta down to ...
Distribution-Free Multivariate Process Control Based On Log-Linear Modeling
Association Discrete measurements
2015/3/18
This pa p e r c o nsider s sta tistica l pr o cess c o ntr o l (SP C ) w hen the pr o cess mea sur e ment is
multiva r ia te. I n the liter a tur e, mo st existing multiva r ia te SP C pr o cedur es ...
There are only some exceptional CR dimensions and codimensions such that the geometries enjoy a discrete classification of the pointwise types of the homogeneous models. The cases of CR dimensions $n$...
Basic coordinate-free non-Euclidean geometry
Basic coordinate-free non-Euclidean geometry Differential Geometry
2011/8/23
Abstract: These lecture notes are based on [arXiv: math/0702714, 0907.4469, 0907.4470]. We introduce and study basic aspects of non-Euclidean geometries from a coordinate-free viewpoint.
Diagonalization-free implementation of spin relaxation theory for large spin systems
NMR EPR relaxation simulation spin dynamics
2011/3/1
The Liouville space spin relaxation theory equations are reformulated in such a way as to avoid the computationally expensive Hamiltonian diagonalization step, replacing it by numerical evaluation of ...
The bounded spherical functions for the free two step nilpotent Lie group
nilpotent Lie group representation theory spherical function
2011/1/19
In this paper, we give the expressions for the bounded spherical functions, or equivalently the spherical functions of positive type, for the free two-step nilpotent Lie groups endowed with the action...
Equation-Free Multiscale Computational Analysis of Individual-Based Epidemic Dynamics on Networks
Computational Epidemiology Individual-based models Networks Complex Dynamics
2011/2/23
The surveillance, analysis and ultimately the efficient long-term prediction and control of epidemic dynamics appear to be one of the major challenges nowadays. Detailed atomistic mathematical models ...
Our main result states that every fixed-point free continuous self-map of ${\mathbb R}^{n}$ is colorable. This result can be re-formulated as follows: A continuous map $f: {\mathbb R}^{n}\to {\mathbb...
The Harnack inequality and related properties for solutions to elliptic and parabolic equations with divergence-free lower-order coefficients
The Harnack inequality related properties elliptic
2010/11/15
We discuss the problem how "bad" may be lower-order coefficients in elliptic and parabolic second order equations to ensure some qualitative properties of solution such as strong maximum principle, H...
We prove an analogue for a one-phase free boundary problem of the classical gradient bound for solutions to the minimal surface equation. It follows, in particular, that every energy-minimizing free b...
A conjugation-free geometric presentation of fundamental groups of arrangements II: Expansion and some properties
conjugation-free geometric presentation of fundamental groups some properties
2010/12/1
A conjugation-free geometric presentation of a funda-mental group is a presentation with the natural topological gener-ators x1, . . . , xn and the cyclic relations.
Triangle-Free Triangulations, Hyperplane Arrangements and Shifted Tableaux
Triangle-Free Triangulations Hyperplane Arrangements Shifted Tableaux
2010/12/6
Flips of diagonals in colored triangle-free triangulations of a convex polygon are interpreted as moves between two adjacent chambers in a certain graphic hyperplane arrangement. Properties of geodesi...
Edge Coloring of Triangle-Free 1-Planar Graphs.
Tur醤 Inequalities and Subtraction-free Expressions
Turán inequalities Subtraction-free expressions Riemann zeta function Zero-free region
2010/1/22
By using subtraction-free expressions, we are able to provide a new proof of the Turán inequalities for the Taylor coefficients of a real entire function when the zeros belong to a specified sector.
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