16 citations · 22 across the 4 of their papers we have counts for
4 papers
A theory of functions of several variables applied to square matrices
Laurent Veysseire
In this paper, we give one possible definition for functions of several variables applied to endomorphisms of finite dimensional C-vector spaces. This definition is consistent with…
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…
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…
Improved spectral gap bounds on positively curved manifolds
Laurent Veysseire
A coupling method and an analytic one allow us to prove new lower bounds for the spectral gap of reversible diffusions on compact manifolds. Those bounds are based on the a notion…