32 citations · 194 across the 33 of their papers we have counts for
39 papers
An invitation to rough dynamics: zipper maps
Benoît Kloeckner, Nicolae Mihalache
In the field of dynamical systems, it is not rare to meet irregular functions, which are typically H{ö}lder but not Lipschitz (e.g. the Weierstrass functions). Our goal is to scrat…
Toy examples for effective concentration bounds
Benoît Kloeckner
In this note we prove a spectral gap for various Markov chains on various functional spaces. While proving that a spectral gap exists is relatively common, explicit estimates seems…
Nonlinear thermodynamical formalism
Jérôme Buzzi, Benoît Kloeckner, Renaud Leplaideur
We define a nonlinear thermodynamical formalism which translates into dynamical system theory the statistical mechanics of generalized mean-field models, extending investigation of…
Cycles in synchronous iterative voting: general robustness and examples in Approval Voting
Benoît Kloeckner
We consider synchronous iterative voting, where voters are given the opportunity to strategically choose their ballots depending on the outcome deduced from the previous collective…
Optimal transportation and stationary measures for Iterated Function Systems
Benoît Kloeckner
In this article we show how ideas, methods and results from optimal transportation can be used to study various aspects of the stationary measuresof Iterated Function Systems equip…
Extensions with shrinking fibers
Benoit Kloeckner
We consider dynamical systems that are extensions of a factor through a projection with shrinking fibers, i.e. such that is uniformly con…