Memory, past, delay: mathematics and more

a.a. 2021/22

Responsabile didattico: Dimitri Breda

Docenti: Dimitri Breda, Fabio Zanolin , Paolo Vidoni, Rossana Vermiglio, Gabor Stepan, Bruno Buonomo, Michael Mackey

Durata: 14 ore

Programma: Do you remember derivatives? - presentation of the course and overview/recall of basic mathematical concpets and tools (of calculus, linear algebra, approximation and dynamical systems), the minimum to tackle the course, presented in popular/informative style with reference to their use in applications/real life. A jump to infinity - essential dynamical aspects of systems with delay, from ordinary evolution to evolution with memory. Remembering - an historical perspective through the works of Vito Volterra on integral equations and material hysteresis + a probabilistic point of view through the modelling of memory of its lack in probabilistic distributions and stochastic processes. Controlling the human body - when delays destabilize our body and how to react/control, with many other applications also from arts. From finite to infinite and backwards - numerical and computational aspects in treating delay systems and relevant applications. Behavioral epidemiology - when memory affects our decisions such as, e.g., vaccinating or not. Loosing memory - models from physiology and medicine, diseases characterized by periodicity induced by the system memory, study of resonances and improvement of medical treatment through modelling.

Corsi a.a. 2021/2022