2 papers
physics.med-ph2024
Jump stochastic differential equations for the characterisation of the Bragg peak in proton beam radiotherapy
Alastair Crossley, Karen Habermann, Emma Horton +3
Proton beam radiotherapy stands at the forefront of precision cancer treatment, leveraging the unique physical interactions of proton beams with human tissue to deliver minimal dos…
math.PR2019
A semicircle law and decorrelation phenomena for iterated Kolmogorov loops
Karen Habermann
We consider a standard one-dimensional Brownian motion on the time interval conditioned to have vanishing iterated time integrals up to order . We show that the resultin…