128 citations · 522 across the 14 of their papers we have counts for
16 papers
Representation theory of the principal equivariant -algebra and Langlands duality
Damien Simon
We study the structure and the representation theory of a certain class of vertex algebras. Our study was partly motivated by the quantum geometric Langlands program and we explain…
Mixed radix numeration bases: Horner's rule, Yang-Baxter equation and Furstenberg's conjecture
Damien Simon
Mixed radix bases in numeration is a very old notion but it is rarely studied on its own or in relation with concrete problems related to number theory. Starting from the natural q…
Operads and the Markov Property on the square lattice
Damien Simon
Markov processes on the lattices with arbitrary dimension are omnipresent in statistical mechanics; however their algebraic description is complete only in dimension 1, for which l…
Random knots in three-dimensional three-colour percolation: numerical results and conjectures
Marthe de Crouy-Chanel, Damien Simon
Three-dimensional three-colour percolation on a lattice made of tetrahedra is a direct generalization of two-dimensional two-colour percolation on the triangular lattice. The inter…
Area anomaly in the rough path Brownian scaling limit of hidden Markov walks
Olga Lopusanschi, Damien Simon
We study the convergence in rough path topology of a certain class of discrete processes, the hidden Markov walks, to a Brownian motion with an area anomaly. This area anomaly, whi…
Lévy area with a drift as a renormalization limit of Markov chains on periodic graphs
Olga Lopusanschi, Damien Simon
A careful look at rough path topology applied to Brownian motion reveals new possible properties of the well-known Lévy area, in particular the presence of an intrinsic drift of th…