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» The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie...
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FOCM
2006
76views more  FOCM 2006»
13 years 4 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
AAECC
1993
Springer
94views Algorithms» more  AAECC 1993»
13 years 8 months ago
Relations Among Lie Formal Series and Construction of Symplectic Integrators
Symplectic integrators are numerical integration schemes for hamiltonian systems. The integration step is an explicit symplectic map. We find symplectic integrators using universa...
Pierre-Vincent Koseleff
CDC
2008
IEEE
117views Control Systems» more  CDC 2008»
13 years 10 months ago
A hopf-algebraic formula for compositions of noncommuting flows
Abstract— The Chen-Fliess series is known to be an exponential Lie series. Previously explicit formulas for the iterated integral coefficients were known only for its factorizat...
Eric Gehrig, Matthias Kawski
BICOB
2010
Springer
13 years 9 months ago
Algebraic Theory of DNA Recombination
In this paper we investigate the structure and representation of n-ary algebras arising from DNA recombination, where n is a number of DNA segments participating in recombination. ...
Sergei R. Sverchkov