195 citations · 707 across the 41 of their papers we have counts for
43 papers
Space-time fluctuations in a quasi-static limit
C. Bernardin, P. Gonçalves, S. Olla
We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution o…
To spike or not to spike: the whims of the Wonham filter in the strong noise regime
Cédric Bernardin, Reda Chhaibi, Joseph Najnudel +1
We study the celebrated Shiryaev-Wonham filter (1964) in its historical setup where the hidden Markov jump process has two states. We are interested in the weak noise regime for th…
Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps
Cédric Bernardin, Patricia Gonçalves, Byron Oviedo-Jiménez +1
We consider the zero-range process with long jumps and in contact with infinitely many reservoirs in its non-equilibrium stationary state. We derive the hydrostatic limit and the F…
Localization effects due to a random magnetic field on heat transport in a harmonic chain
Gaëtan Cane, Junaid Majeed Bhat, Abhishek Dhar +1
We consider a harmonic chain of oscillators in presence of a disordered magnetic field. The ends of the chain are connected to heat baths and we study the effects of the magnet…
Heat transport in an ordered harmonic chain in presence of a uniform magnetic field
Junaid Bhat, Gaëtan Cane, Cédric Bernardin +1
We consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connecte…
Emergence of jumps in quantum trajectories via homogeneization
Tristan Benoist, Cédric Bernardin, Raphaël Chetrite +3
In the strong noise regime, we study the homogeneization of quantum trajectories i.e. stochastic processes appearing in the context of quantum measurement. When the generator of th…