Topic: Wiener process

The Korteweg–de Vries equation is a nonlinear third-order partial differential equation central to wave theory and commonly studied through inverse scattering. This seminar addresses the less extensively developed stochastic setting, focusing on the Cauchy problem for a generalized equation with noise in its nonlinear term. The noise is expressed through a symmetric integral with an arbitrary continuous integrator. This construction generalizes both Stieltjes integration and Stratonovich integration against a Wiener process. The proposed numerical methods extend Strang splitting and BCH schem

Response inhibition, the ability to withhold actions that are no longer appropriate, is commonly studied using the stop-signal task. Participants’ performance on the task is often understood as a race between a go- and stop-process, making it tempting to fit evidence accumulation models as the go- and stop-racers. Prior research shows, however, that behavioral stop-signal evidence accumulation models have unrecoverable parameters. In this study, we explored whether neurocognitive models of response inhibition are recoverable from neural and behavioral stop-signal data, as it has been suggested