En poursuivant votre navigation sur ce site, vous acceptez l'utilisation d'un simple cookie d'identification. Aucune autre exploitation n'est faite de ce cookie. OK

Documents 35R02 2 results

Filter
Select: All / None
Q
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
y
We investigate the mean-field limit of large networks of interacting biological neurons. The neurons are represented by the so-called integrate and fire models that follow the membrane potential of each neuron and captures individual spikes. However we do not assume any structure on the graph of interactions but consider instead any connection weights between neurons that obey a generic mean-field scaling. We are able to extend the concept of extended graphons, introduced in Jabin-Poyato-Soler, by introducing a novel notion of discrete observables in the system. This is a joint work with D. Zhou.[-]
We investigate the mean-field limit of large networks of interacting biological neurons. The neurons are represented by the so-called integrate and fire models that follow the membrane potential of each neuron and captures individual spikes. However we do not assume any structure on the graph of interactions but consider instead any connection weights between neurons that obey a generic mean-field scaling. We are able to extend the concept of ...[+]

35Q49 ; 35Q83 ; 35R02 ; 35Q70 ; 05C90 ; 60G09 ; 35R06 ; 35Q89 ; 35Q92 ; 49N80 ; 92B20 ; 65N75

Bookmarks Report an error
Déposez votre fichier ici pour le déplacer vers cet enregistrement.
y
We investigate the mean-field limit of large networks of interacting biological neurons. The neurons are represented by the so-called integrate and fire models that follow the membrane potential of each neuron and captures individual spikes. However we do not assume any structure on the graph of interactions but consider instead any connection weights between neurons that obey a generic mean-field scaling. We are able to extend the concept of extended graphons, introduced in Jabin-Poyato-Soler, by introducing a novel notion of discrete observables in the system. This is a joint work with D. Zhou.[-]
We investigate the mean-field limit of large networks of interacting biological neurons. The neurons are represented by the so-called integrate and fire models that follow the membrane potential of each neuron and captures individual spikes. However we do not assume any structure on the graph of interactions but consider instead any connection weights between neurons that obey a generic mean-field scaling. We are able to extend the concept of ...[+]

35Q49 ; 35Q83 ; 35R02 ; 35Q70 ; 05C90 ; 60G09 ; 35R06 ; 35Q89 ; 49N80 ; 92B20 ; 65N75 ; 65N75

Bookmarks Report an error