The next meeting of the Interdisciplinary Seminar on Biomathematics and Scientific Computing will be held on July 4, 2019  (Thursday), at 3.00 p.m. in Room 403 of IMI-BAS. A talk on: Ergodicity and loss of capacity for a family of concave random maps will be delivered by Prof. Peter Hinow (University of Wisconsin-Milwakee, САЩ) Abstract. Random fluctuations of an environment are common in ecological and economical settings. We consider a family of concave maps on the unit interval, f_λ(x)=x(1+λ-x), that model a self-limiting growth behavior. The maps are parametrized by an independent, identically distributed random variable λ with values in the unit interval. We show the existence of a unique invariant ergodic measure of the resulting random dynamical system for arbitrary parameter distributions supported on [...]