471 citations · 1.8k across the 34 of their papers we have counts for
9 papers · 1 filter
Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
Ankita Chakrabarti, Cyril Martins, Nicolas Laflorencie +3
We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particula…
How genealogies are affected by the speed of evolution
Éric Brunet, Bernard Derrida
In a series of recent works it has been shown that a class of simple models of evolving populations under selection leads to genealogical trees whose statistics are given by the Bo…
Statistics at the tip of a branching random walk and the delay of traveling waves
Eric Brunet, Bernard Derrida
We study the limiting distribution of particles at the frontier of a branching random walk. The positions of these particles can be viewed as the lowest energies of a directed poly…
Universal tree structures in directed polymers and models of evolving populations
Eric Brunet, Bernard Derrida, Damien Simon
By measuring or calculating coalescence times for several models of coalescence or evolution, with and without selection, we show that the ratios of these coalescence times become…
Effect of selection on ancestry: an exactly soluble case and its phenomenological generalization
E. Brunet, B. Derrida, A. H. Mueller +1
We consider a family of models describing the evolution under selection of a population whose dynamics can be related to the propagation of noisy traveling waves. For one particula…
Noisy traveling waves: effect of selection on genealogies
E. Brunet, B. Derrida, A. H. Mueller +1
For a family of models of evolving population under selection, which can be described by noisy traveling wave equations, the coalescence times along the genealogical tree scale lik…