2 papers
math.PR2016
Slow recurrent regimes for a class of one-dimensional stochastic growth models
Etienne Adam
We classify the possible behaviors of a class of one-dimensional stochastic recurrent growth models. In our main result, we obtain nearly optimal bounds for the tail of hitting tim…
math.PR2015
Criterion of unlimited growth of critical multidimensional stochastic models
Etienne Adam
We give a criterion for unlimited growth with positive probability for a large class of multidimensional stochastic models. As a by-product, we recover the necessary and sufficient…