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Интердисциплинарния семинар по биоматематика и научни изчисления

ще се състои на 4 юли 2019 г. (четвъртък) от 15:00 часа в зала 403 на ИМИ–БАН.

Доклад на тема:

Ergodicity and loss of capacity for a family of concave random maps

ще изнесе проф. Петър Хинов (University of Wisconsin-Milwakee, САЩ)

Резюме. 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 certain subintervals of [0,1]. Moreover, there is an attenuation of the mean of the state variable compared to the constant environment with the averaged parameter. We also provide an example of a family of just two maps such that the invariant probability measure is supported on a Cantor set. This is joint work with Ami Radunskaya (Pomona College, CA).