Results 71 to 80 of about 131 (118)

Combinatorial Hopf algebra for interconnected nonlinear systems

, 2018
A detailed expose of the Hopf algebra approach to interconnected input-output systems in nonlinear control theory is presented. The focus is on input-output systems that can been represented in terms of Chen-Fliess functional expansions or Fliess operators. This provides a starting point for a discrete-time version of this theory.
Espinosa, Luis A. Duffaut, Ebrahimi-Fard, Kurusch, Gray, W. Steven   +2 more
openaire   +2 more sources

A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions. [PDF]

Lett Math Phys, 2022
Pérez-Sánchez CI.
europepmc   +1 more source

The combinatorial Hopf algebra of motivic dissection polylogarithms

Advances in Mathematics, 2014
38 ...
openaire   +4 more sources

Neural waves and short-term memory in a neural net model. [PDF]

J Biol Phys, 2023
Selesnick S.
europepmc   +1 more source

Combinatorial Hopf algebras

, 2013
Cette thèse se situe dans le domaine de la combinatoire algébrique. Autrement dit, l'idée est d'utiliser des structures algébriques, en l'occurence des algèbres de Hopf combinatoires, pour mieux étudier et comprendre les objets combinatoires ainsi que des algorithmes de composition et de décomposition agissant sur ces objets.
openaire   +1 more source

Entanglement entropy and edge modes in topological string theory. Part I. Generalized entropy for closed strings. [PDF]

J High Energy Phys, 2021
Donnelly W, Jiang Y, Kim M, Wong G.
europepmc   +1 more source

Cumulants, free cumulants and half-shuffles. [PDF]

Proc Math Phys Eng Sci, 2015
Ebrahimi-Fard K, Patras F.
europepmc   +1 more source

Quantum cluster algebras and quantum nilpotent algebras. [PDF]

Proc Natl Acad Sci U S A, 2014
Goodearl KR, Yakimov MT.
europepmc   +1 more source

Combinatorial Hopf algebras from restriction species with preorder cuts

Advances in Applied Mathematics
We get new Hopf algebras (HA): 1. A wealth of quotient HA's of the Malvenuto-Reutenauer HA (the Loday-Ronco HA being a special case). They consist of the permutations avoiding an {\it arbitrary} set of permutations without global descents, 2. A HA of pairs of parking filtrations, and 3. Four HA of pairs of preorders.
openaire   +2 more sources

Constructions and classifications of projective Poisson varieties. [PDF]

Lett Math Phys, 2018
Pym B.
europepmc   +1 more source