A combinatorial approach to nonlinear functional expansions: An introduction with an example

DOI10.1016/0304-3975(91)90150-ZzbMath0754.05005MaRDI QIDQ1174719

Pierre Leroux, Xavier G. Viennot

Publication date: 25 June 1992

Published in: Theoretical Computer Science (Search for Journal in Brave)

zbMATH Keywords

historiesweighted pathsformal power series in noncommutative variablesweighted increasing trees

Mathematics Subject Classification ID

Trees (05C05) Exact enumeration problems, generating functions (05A15) Nonlinear systems in control theory (93C10) Definitions and generalizations in theory of categories (18A05)

Related Items (7)

The mathematical life of Pierre Leroux ⋮ Geometrical and topological methods in optimal control theory ⋮ Dirichlet functions of order \(n\) and parameter \(t\) ⋮ A combinatorial approach to nonlinear functional expansions: An introduction with an example ⋮ On the symmetry and asymmetry of combinatorial structures ⋮ Bilinear system interconnections and generating series of weighted Petri nets ⋮ Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach.

Cites Work

• Combinatorial resolution of systems of differential equations. IV: Separation of variables
• A formula for iterated derivatives along trajectories of nonlinear systems
• Une nouvelle demonstration combinatoire des formules d'inversion de Lagrange
• Une théorie combinatoire des séries formelles
• A combinatorial approach to nonlinear functional expansions: An introduction with an example
• An algebraic approach to nonlinear functional expansions
• Sequence of operations analysis for dynamic data structures
• Fonctionnelles causales non linéaires et indéterminées non commutatives
• Iterated path integrals
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