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Stability and bifurcation for the Kuramoto model
(ElsevierJournal de Mathématiques Pures et Appliquées, 2015-11-11)
We study the mean-field limit of the Kuramoto model of globally coupled oscillators. By studying the evolution in Fourier space and understanding the domain of dependence, we show a global stability result. Moreover, we ...
Characterisation of gradient flows on finite state Markov chains
(Institute of Mathematical StatisticsElectronic Communications in Probability, 2015-03-29)
In his 2011 work, Maas has shown that the law of any time-reversible continuoustime
Markov chain with finite state space evolves like a gradient flow of the relative
entropy with respect to its stationary distribution. ...