Results 111 to 120 of about 7,293 (133)

Natural language syntax complies with the free-energy principle. [PDF]

Synthese
Murphy E, Holmes E, Friston K.
europepmc   +1 more source

The $(1-\mathbb{E})$ -transform in combinatorial Hopf algebras [PDF]

Journal of Algebraic Combinatorics, 2010
Let sym be the commutative algebra of symmetric functions in countably infinite many variables \(x_1, x_2, \dots,\) \textbf{Sym} the non-commutative symmetric functions, \textbf{FQSym} the free quasi-symmetric functions, \textbf{WQSym} the word quasi-symmetric functions and \textbf{PQSym} the parking quasi-symmetric functions.
Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon   +2 more
exaly   +5 more sources

Combinatorial Hopf Algebras, Twisted Structures, and Species

Algebra and Applications, 2021
Various definitions of combinatorial Hopf algebras have been proposed in the literature but no one has been adopted uniformly. Here, we use the name to denote Hopf algebraic structures associated to sets of objects related naturally to a countable alphabet.
Frédéric Patras
exaly   +2 more sources

Trees, functional equations, and combinatorial Hopf algebras

European Journal of Combinatorics, 2008
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.
Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon   +2 more
exaly   +5 more sources

Combinatorial Hopf algebras, noncommutative Hall–Littlewood functions, and permutation tableaux

Advances in Mathematics, 2010
37 pages, 4 figures, new references ...
Novelli, Jean-Christophe, Thibon, Jean-Yves, Williams, Lauren K.   +2 more
exaly   +6 more sources

Noncommutative symmetric functions and combinatorial Hopf algebras

2011
We present on a few examples a class of algebras which are increasingly popular in Combinatorics, and tend to permeate other fields as well. In particular, some of these algebras have connections with mould calculus and resurgence theory. They can be approached in many different ways.
openaire   +1 more source

The combinatorial Hopf algebra of motivic dissection polylogarithms

2013
38 ...
openaire   +1 more source

Combinatorial Hopf Algebras of Simplicial Complexes

SIAM Journal on Discrete Mathematics, 2016
Carolina Benedetti, John Machacek
exaly