Isaia Nisoli (Universidade Federal do Rio de Janeiro, Brazil)

Speaker: Isaia Nisoli (Universidade Federal do Rio de Janeiro, Brazil)

Title: A simple system presenting Noise Induced Order

Abstract: In this talk I will present a family of one dimensional systems with random additive noise such that, as the noise size increases, the Lyapunov exponent of the stationary measure transitions from positive to negative. This phenomena is known in literature as Noise Induced Order, and was first observed in a model of the Belosouv-Zhabotinsky reaction and its existence was proven only recently by Galatolo-Monge-Nisoli. In the talk I will show how this phenomena is strictly connected with non-uniform hyperbolicity and the coexistence of regions of expansion and contraction in phase space; the result is attained through a result on the continuity of the Lyapunov exponent of the stationary measure with respect to the size of the noise.

Time and location: Mon, 16 Nov 2020 14:00:00 UTC - TBA

Click on + iCal Export or on + Google Calendar to add this event to your calendar.

NOTE: The seminar will be streamed live on our YouTube channel then saved there. If you ask questions, with your video feed on or off, you agree to the use of your image/spoken words for said purpose.