PYSANUM

PYSANUM

SEMINARI PASSATI

Pisan Young Seminars in Applied and NUmerical Mathematics

Ciclo di seminari informali di analisi numerica e matematica applicata rivolto agli studenti.

L’obiettivo degli incontri è di presentare in maniera accessible argomenti di ricerca di analisi numerica e coinvolgere gli studenti interessati. I seminari avranno una prima parte introduttiva e saranno accessibili anche a chi non ha dimestichezza con l’argomento. Si terranno principalmente in italiano, in linea con il tono informale del ciclo.
Sono incoraggiati a partecipare studenti della magistrale e studenti della triennale che abbiano familiarità con i contenuti del corso di Calcolo Scientifico.

Organizzato da dottorandi dell’Università di Pisa e della Scuola Normale Superiore.

Prossimi Seminari

14.30 – 5 giugno 2025
 Gianmarco Zanardi (Università di Trento)
Aula Riunioni, Dipartimento di Matematica
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).