374 citations
- École Normale Supérieure de LyonFR34 papers
- Centre National de la Recherche ScientifiqueFR15 papers
- Mathématiques Appliquées à Paris 5FR5 papers
- Laboratoire de Physique Théorique de la Matière CondenséeFR4 papers
- Université Paris CitéFR4 papers
- Département mathématiques, informatique, sciences de la donnée et technologies du numériqueFR3 papers
- Institut de recherche mathématique de RennesFR3 papers
- Institut national de recherche en sciences et technologies du numériqueFR3 papers
- Université de LyonFR3 papers
- Courant Institute of Mathematical SciencesUS2 papers
- Instituto Nacional de Matemática Pura e AplicadaBR2 papers
- Laboratoire de Mathématiques Blaise PascalFR2 papers
Showing 2012 · math.PRShow all
3 papers · 2 filters
math.PR2012★ 1 cited
A concentration theorem for the equilibrium measure of Markov chains with nonnegative coarse Ricci curvature
Laurent Veysseire
A nonnegative coarse Ricci curvature for a Markov chain and the existence of an attractive point implies the concentration of the invariant probability measure around this point. T…
math.PR2012★ 7 cited
Uniform infinite planar quadrangulations with a boundary
Nicolas Curien, Grégory Miermont
We introduce and study the uniform infinite planar quadrangulation (UIPQ) with a boundary via an extension of the construction of arXiv:1201.1052. We then relate this object to its…
math.PR2012★ 16 cited
Coarse Ricci curvature for continuous-time Markov processes
Laurent Veysseire
The coarse Ricci curvature for Markov chains is generalized for continuous time. We show that a positive coarse Ricci curvature implies a contraction of the Markov process for the…