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» On the Algebraic Structure of Convergence
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IJAC
2010
88views more  IJAC 2010»
14 years 4 months ago
Finite Posets and their Representation Algebras
A finite poset (P S) determines a finite dimensional algebra TP over the field over the field F of two elements, with an upper triangular representation. We determine the structure...
Murray Gerstenhaber, Mary Schaps
CORR
2006
Springer
120views Education» more  CORR 2006»
14 years 9 months ago
Termination orders for 3-dimensional rewriting
Abstract: This paper studies 3-polygraphs as a framework for rewriting on two-dimensional words. A translation of term rewriting systems into 3-polygraphs with explicit resource ma...
Yves Guiraud
CDC
2009
IEEE
143views Control Systems» more  CDC 2009»
15 years 2 months ago
Control interpretations of products in the Hopf algebra
Abstract— Families of differential operators, like those defining affine, generally nonlinear, control systems are known to have natural Hopf algebra structures. These provide ...
Matthias Kawski
80
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FOCM
2010
143views more  FOCM 2010»
14 years 8 months ago
Algebraic Structures of B-series
B-series are a fundamental tool in practical and theoretical aspects of numerical integrators for ordinary differential equations. A composition law for B-series permits an elega...
Philippe Chartier, Ernst Hairer, Gilles Vilmart
FOCM
2006
76views more  FOCM 2006»
14 years 9 months ago
The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series
We present an approach that allows performing computations related to the Baker-Campbell-Haussdorff (BCH) formula and its generalizations in an arbitrary Hall basis, using labeled...
A. Murua