177 citations · 1.1k across the 29 of their papers we have counts for
29 papers
Hamiltonian cycles on bicolored random planar maps
Bertrand Duplantier, Olivier Golinelli, Emmanuel Guitter
We study the statistics of Hamiltonian cycles on various families of bicolored random planar maps (with the spherical topology). These families fall into two groups corresponding t…
Exponents for Hamiltonian paths on random bicubic maps and KPZ
Philippe Di Francesco, Bertrand Duplantier, Olivier Golinelli +1
We evaluate the configuration exponents of various ensembles of Hamiltonian paths drawn on random planar bicubic maps. These exponents are estimated from the extrapolations of exac…
Physics of integer spin antiferromagnetic chains : Haldane gaps and edge states
Thierry Jolicoeur, Olivier Golinelli
The antiferromagnetic Heisenberg spin chain with integer spin has short-range magnetic order and an excitation energy gap above the ground state. This so-called Haldane gap is prop…
Connected Operators for the Totally Asymmetric Exclusion Process
O. Golinelli, K. Mallick
We fully elucidate the structure of the hierarchy of the connected operators that commute with the Markov matrix of the Totally Asymmetric Exclusion Process (TASEP). We prove for t…
Family of Commuting Operators for the Totally Asymmetric Exclusion Process
O. Golinelli, K. Mallick
The algebraic structure underlying the totally asymmetric exclusion process is studied by using the Bethe Ansatz technique. From the properties of the algebra generated by the loca…
The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
O. Golinelli, K. Mallick
The asymmetric simple exclusion process (ASEP) plays the role of a paradigm in non-equilibrium statistical mechanics. We review exact results for the ASEP obtained by Bethe ansatz…