Hopf-algebraic structures of families of trees (2007)
Grossman, R. L., Larson, R. G.
Description of cocommutative Hopf algebras associated with families of trees. Applications include Cayley's theorem on the number of rooted trees with n nodes, and Catalan's theorem on the number of...
Hopf Algebras of Heap Ordered Trees and Permutations (2007)
Grossman, R. L., Larson, R. G.
It is known that there is a Hopf algebra structure on the vector space with basis all heap-ordered trees. We give a new bialgebra structure on the space with basis all permutations and show that...
Bialgebras and Realizations (2004)
R. L. Grossman, R. G. Larson, This Robert, L. Grossman, Stefan Catoiu, William Chin
this paper we consider when a linear functional on a bialgebra is realized by the action of the bialgebra on a finite object. This depends on whether the action of the bialgebra on the functional is...
An Algebraic Approach to Hybrid Systems (2003)
We propose an algebraic model for hybrid systems and illustrate its usefulness by proving theorems in realization theory using this viewpoint. By a hybrid system, we mean a collection of continuous...
Bishko, G., McLeish, T.C.B., Harlen, O.G., Larson, R.G.
The nonlinear rheological constitutive equation of a class of multiply branched polymers is derived using the tube model. The molecular architecture may be thought of as two q-arm stars connected by...
Bishko, G., McLeish, T.C.B., Harlen, O.G., Larson, R.G.
The nonlinear rheological constitutive equation of a class of multiply branched polymers is derived using the tube model. The molecular architecture may be thought of as two q-arm stars connected by...
Bishko, G., McLeish, T.C.B., Harlen, O.G., Larson, R.G.
The nonlinear rheological constitutive equation of a class of multiply branched polymers is derived using the tube model. The molecular architecture may be thought of as two q-arm stars connected by...