Laurent Miclo

collaborators

3 papers

math.FA2024

Swarm dynamics for global optimisation on finite sets

Laurent Miclo, Nhat-Thang Le

Consider the global optimisation of a function $U$ defined on a finite set $V$ endowed with an irreducible and reversible Markov generator.By integration, we extend $U$ to the set…

quant-ph2024

Quantum walks, the discrete wave equation and Chebyshev polynomials

Simon Apers, Laurent Miclo

A quantum walk is the quantum analogue of a random walk. While it is relatively well understood how quantum walks can speed up random walk hitting times, it is a long-standing open…

math.PR2024

The asymptotic behavior of fraudulent algorithms

Michel Benaïm, Laurent Miclo

Let $U$ be a Morse function on a compact connected $m$ -dimensional Riemannian manifold, $m \geq 2,$ satisfying $min U = 0$ and let $U = {x \in M : U (x) = 0}$ be the s…