Berliner Kolloquium der Wahrscheinlichkeitstheorie:"A Multiscale Analysis of Traveling Waves in Stochastic Neural Fields"

15.07.2015, 16:30-17:30  –  Am Neuen Palais, Haus 8 Raum 0.58
Gastvortrag

Eva Lang (Berlin)

Neural eld equations are used to describe the spatio-temporal dynamics of the activity

in synaptically coupled populations of neurons in the continuum limit. They exhibit traveling wave

solutions, modeling the propagation of activity. We analyze the behavior of these solutions under

the in

uence of noise on dierent spatial and temporal scales. As a crucial point in the analysis, we

prove that the nonlocal linear operator associated to the problem has a spectral gap.