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.
