2 citations · 2 across the 3 of their papers we have counts for
4 papers
Inversions in Random Permutations Under the Ewens Sampling Distribution With and Without a Prescribed Number of Fixed Points
Ross G. Pinsky, Dominic T. Schickentanz
In the first part of the paper, we study the inversion statistic of random permutations under the family of Ewens sampling distributions on . W…
Brownian motion conditioned to have restricted -norm
Frank Aurzada, Mikhail Lifshits, Dominic T. Schickentanz
We condition a Brownian motion on having an atypically small -norm on a long time interval. The obtained limiting process is a non-stationary Ornstein-Uhlenbeck process.
Brownian motion conditioned to spend limited time outside a bounded interval -- an extreme example of entropic repulsion
Frank Aurzada, Martin Kolb, Dominic T. Schickentanz
We show that a Brownian motion on which is allowed to spend a total of time units outside a bounded interval does not leave the interval at all. This c…
Brownian Motion Conditioned to Spend Limited Time Below a Barrier
Frank Aurzada, Dominic T. Schickentanz
We condition a Brownian motion with arbitrary starting point on spending at most time unit below and provide an explicit description of the resulting pro…