16 citations · 17 across the 2 of their papers we have counts for
2 papers
math.PR2007★ 1 cited
Coupling times with ambiguities for particle systems and applications to context-dependent DNA substitution models
Jean Bérard, Didier Piau
We define a notion of coupling time with ambiguities for interacting particle systems, and show how this can be used to prove ergodicity and to bound the convergence time to equili…
math.PR2005★ 16 cited
Confidence intervals for nonhomogeneous branching processes and polymerase chain reactions
Didier Piau
We extend in two directions our previous results about the sampling and the empirical measures of immortal branching Markov processes. Direct applications to molecular biology are…