3 papers
math.PR2018
Finitary Process Evolution I: Information Geometry of Configuration Space and the Process-Replicator Dynamics
Leonardo Aguirre
This report presents some fundamental mathematical results towards elucidating the information-geometric underpinnings of evolutionary modelling schemes for (quasi-)stationary disc…
math-ph2014
Gaudin subalgebras and wonderful models
Leonardo Aguirre, Giovanni Felder, Alexander P. Veselov
Gaudin hamiltonians form families of r-dimensional abelian Lie subalgebras of the holonomy Lie algebra of the arrangement of reflection hyperplanes of a Coxeter group of rank r. We…
math.AG2010
Gaudin subalgebras and stable rational curves
Leonardo Aguirre, Giovanni Felder, Alexander P. Veselov
Gaudin subalgebras are abelian Lie subalgebras of maximal dimension spanned by generators of the Kohno-Drinfeld Lie algebra t_n. We show that Gaudin subalgebras form a variety isom…