168 citations · 436 across the 32 of their papers we have counts for
36 papers
Exact computation of growth-rate fluctuations in random environment
J. Unterberger
We consider a general class of Markovian models describing the growth in a randomly fluctuating environment of a clonal biological population having several phenotypes related by s…
Stoechiometric and dynamical autocatalysis for diluted chemical reaction networks
Jeremie Unterberger, Philippe Nghe
Autocatalysis underlies the ability of chemical and biochemical systems to replicate. Recently, Blokhuis et al. gave a stoechiometric definition of autocatalysis for reaction netwo…
Phase transitions in optimal strategies for betting
L. Dinis, J. Unterberger, D. Lacoste
Kelly's criterion is a betting strategy that maximizes the long term growth rate, but which is known to be risky. Here, we find optimal betting strategies that gives the highest ca…
A mathematical derivation of zero-temperature 2D superconductivity from microscopic Bardeen-Cooper-Schrieffer model
J. Magnen, J. Unterberger
Starting from H. Fröhlich's second-quantized Hamiltonian for a -dimensional electron gas in interaction with lattice phonons describing the quantum vibrations of a metal, we pre…
Exact dynamics of a one dimensional Bose gas in a periodic time-dependent harmonic trap
Stefano Scopa, Jéremie Unterberger, Dragi Karevski
We study the unitary dynamics of a one-dimensional gas of hard-core bosons trapped into a harmonic potential which varies periodically in time with frequency . Such periodic…
Global fluctuations for 1D log-gas dynamics. (2) Covariance kernel and support
Jeremie Unterberger
We consider the hydrodynamic limit in the macroscopic regime of the coupled system of stochastic differential equations, $ dλ_t^i=\frac{1}{\sqrt{N}} dW_t^i - V'(λ_t^i) dt+ \fracβ{2…