Memory, past, delay: mathematics and more

Responsabile didattico: Dimitri Breda

Durata: 14 ore

Periodo didattico: secondo semestre

Programma

SSD: MAT/08

Title: memory, past, delay: mathematics and more

1) Do you remember derivatives? (2h) - 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 - Dimitri Breda (UNIUD-DMIF)

2) A jump to infinity (2h) - essential dynamical aspects of systems with delay, from ordinary evolution to evolution with memory - Dimitri Breda (UNIUD-DMIF)

3) Remembering (2h) - an historical perspective through the works of Vito Volterra on integral equations and material hysteresis (1h Fabio Zanolin UNIUD-DMIF) + a probabilistic point of view through the modelling of memory of its lack in probabilistic distributions and stochastic processes (1h Paolo Vidoni UNIUD-DIES)

4) Controlling the human body (2h) - when delays destabilize our body and how to react/control, with many other applications also from arts - Gabor Stepan (Budapest Institute of Technology and Economics, https://www.mm.bme.hu/~stepan/), possibly visiting UNIUD

5) From finite to infinite and backwards (2h) - numerical and computational aspects in treating delay systems and relevant applications - Rossana Vermiglio (UNIUD-DMIF)

6) Behavioral epidemiology (2h) - when memory affects our decisions such as, e.g., vaccinating or not - Bruno Buonomo (UNINA, http://brunobuonomo.altervista.org/), visiting UNIUD

7) Loosing memory (2h) - models from physiology and medicine, diseases characterized by periodicity induced by the system memory, study of resonances and improvement of medical treatment through modelling - Michael Mackey (McGill, https://www.mcgill.ca/physiology/directory/core-faculty/michael-mackey), online


Elenco corsi 2021/2022