19 citations · 34 across the 4 of their papers we have counts for
4 papers
Interspike interval correlations in networks of inhibitory integrate-and-fire neurons
Wilhelm Braun, André Longtin
We study temporal correlations of interspike intervals (ISIs), quantified by the network-averaged serial correlation coefficient (SCC), in networks of both current- and conductance…
Evolution of moments and correlations in non-renewal escape-time processes
Wilhelm Braun, Rüdiger Thul, André Longtin
The theoretical description of non-renewal stochastic systems is a challenge. Analytical results are often not available or can only be obtained under strong conditions, limiting t…
Sign-changes as a universal concept in first-passage time calculations
Wilhelm Braun, Rüdiger Thul
First-passage time problems are ubiquitous across many fields of study including transport processes in semiconductors and biological synapses, evolutionary game theory and percola…
First passage times in integrate-and-fire neurons with stochastic thresholds
Wilhelm Braun, Paul C. Matthews, Rüdiger Thul
We consider a leaky integrate-and-fire neuron with deterministic subthreshold dynamics and a firing threshold that evolves as an Ornstein-Uhlenbeck process. The formulation of this…