PYSANUM

PYSANUM

Pisan Young Seminars in Applied and NUmerical Mathematics

Informal seminar series on numerical analysis and applied mathematics aimed at students.
The aim of the meetings is to present numerical analysis research topics in an accessible manner and to involve interested students. The seminars will have an introductory first part and will also be accessible to those unfamiliar with the subject. They will be held mainly in Italian, in line with the informal tone of the series.
Master’s students and Bachelor’s students who are familiar with the contents of the Scientific Computing course are encouraged to attend.
Organised by PhD students from the University of Pisa and the Scuola Normale Superiore.

Upcoming Seminars

14.30 – 5 June 2025
 Gianmarco Zanardi (Università di Trento)
Aula Riunioni, Department of Mathematics
Agent-based models of dynamical formation and emergence of memory on networks


The brain is a rather complex organ, capable of, and responsible for, the processing of information, and organised as a network of interacting cells. One of the properties arising from this complexity is memory, which is the ability to learn from experience and to retrieve stored information, affecting decisions and behaviour. Memory is today understood to arise from the adaptation of synapses (i.e. connections between neurons) to the activity of neighbouring cells [1]: this leads to the formation of patterns of neurons, called engrams, which comprise the physical basis of memory [2]. As such, interactions that shape the brain network, resulting in memory as an emergent phenomenon.

Numerous systems and processes outside neuro-science feature a dense matrix of interactions and interconnections as a defining factor. These systems also exhibit the formation of patterns and feature dynamics akin to those of brain memory. This allows for the development of high-level, general models that capture the very fundamental characteristics of brain memory through the broad perspective of network-based dynamical processes.

In this seminar we will present two of such models: a first model featuring a multi-scale, hierarchical memory dynamics [3], and a second model that combines network memory with the coordination of various agents.

REFERENCES

[1] D. Hebb, “The organization of behavior; a neuropsychological theory” (1949).

[2] S. Josselyn et al., Science 367, 6473 (2020).

[3] G. Zanardi et al., Phys. Rev. E 110, 5 (2024).