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28 papers · 2 filters
Clarification and complement to "Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons"
Mireille Bossy, Olivier Faugeras, Denis Talay
In this note, we clarify the well-posedness of the limit equations to the mean-field -neuron models proposed in Baladron et al. and we prove the associated propagation of chaos…
Lotka Volterra in fluctuating environment or "how switching between beneficial environments can make survival harder"
Michel Benaïm, Claude Lobry
We consider two dimensional Lotka-Volterra systems in fluctuating environment. Relying on recent results on stochastic persistence and piecewise deterministic Markov processes, we…
Hausdorff, Large Deviation and Legendre Multifractal Spectra of Lévy Multistable Processes
Ronan Le Guével, Jacques Lévy Véhel
We compute the Hausdorff multifractal spectrum of two versions of multistable L{é}vy motions. These processes extend classical L{é}vy motion by letting the stability exponent e…
Self-Healing Umbrella Sampling: Convergence and efficiency
G. Fort, B. Jourdain, T. Lelievre +1
The Self-Healing Umbrella Sampling (SHUS) algorithm is an adaptive biasing algorithm which has been proposed to efficiently sample a multimodal probability measure. We show that th…
Some singular sample path properties of a multiparameter fractional Brownian motion
Alexandre Richard
We prove a Chung-type law of the iterated logarithm for a multiparameter extension of the fractional Brownian motion which is not increment stationary. This multiparameter fraction…
A new encoding of coalescent processes. Applications to the additive and multiplicative cases
Nicolas Broutin, Jean-François Marckert
We revisit the discrete additive and multiplicative coalescents, starting with particles with unit mass. These cases are known to be related to some "combinatorial coalescent p…