Trees, functional equations, and combinatorial Hopf algebras
Copyright policy )Trees, functional equations, and combinatorial Hopf algebras
One of the main virtues of trees is to represent formal solutions of various functional equations which can be cast in the form of fixed point problems. Basic examples include differential equations and functional (Lagrange) inversion in power series rings. When analyzed in terms of combinatorial Hopf algebras, the simplest examples yield interesting algebraic identities or enumerative results.
14 pages, LaTEX
Hopf algebras and their applications, 510, Combinatorial aspects of groups and algebras, Trees, Theoretical Computer Science, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Computational Theory and Mathematics, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], FOS: Mathematics, Mathematics - Combinatorics, Geometry and Topology, Combinatorics (math.CO), fixed point problems
Hopf algebras and their applications, 510, Combinatorial aspects of groups and algebras, Trees, Theoretical Computer Science, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Computational Theory and Mathematics, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], FOS: Mathematics, Mathematics - Combinatorics, Geometry and Topology, Combinatorics (math.CO), fixed point problems
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