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Amalgamated Products of Groups II: Measures of Random Normal Forms
Amalgamated Products Measures of Random Normal Forms Group Theory
2011/9/15
Abstract: Let $G=\mathop{A\ast B}\limits_C$ be an amalgamated product of finite rank free groups $A$, $B$ and $C$. We introduce atomic measures and corresponding asymptotic densities on a set of norma...
A new type of knot energy is presented via real life experiments involving a thin resilient metallic tube. Knotted in different ways, the device mechanically acquires a uniquely determined (up to iso...
Normal forms of matrices over the ring of formal series
Normal forms of matrices ring of formal series
2010/12/6
Matrices over the ring of formal power series are considered. Normal forms wit respect to various sub-groups of the two-sided transformations are constructed. The construc-tion is based on the special...
Natural Density Distribution of Hermite Normal Forms of Integer Matrices
Natural density Hermite normal form integer lattices
2010/12/13
The Hermite Normal Form (HNF) is a canonical representation of matrices over any principal
ideal domain. Over the integers, the distribution of the HNFs of randomly looking matrices is far from unifo...
Hermite normal forms with a given $\delta$-vector
Convex polytope Ehrhart polynomial -vector Hermite normal form
2010/12/14
Let (P) = (0, 1, . . . , d) be the -vector of an integral polytope P ⊂ RN of dimension d. By means of Hermite normal forms of square matrices,the problem of classifying the possible integra...
NORMAL FORMS OF MODULES OVER ADMISSIBLE ALGEBRAS WITH FORMAL TWO_RAY MODULES
domestic algebra vector space category Aus\-lan\-der--Reiten sequence
2007/12/11
The aim of the paper is to classify the indecomposable modules and describe the Auslander--Reiten sequences for the admissible algebras with formal two-ray modules.
Differential Rational Normal Forms and a Reduction Algorithm for Hyperexponential Functions
Normal forms Rational functions Hyperexponential functions Reduction algorithms
2013/9/3
We describe di®erential rational normal forms of a rational function and their properties. Based on these normal forms, we present an algorithm which, given a hyperexponential function T (x), con...