46 citations · 113 across the 18 of their papers we have counts for
19 papers
Persistence probabilities of mixed FBM and other mixed processes
Frank Aurzada, Martin Kilian, Ercan Sönmez
We consider the sum of two self-similar centred Gaussian processes with different self-similarity indices. Under non-negativity assumptions of covariance functions and some further…
The space of genus two spectral curves of constant mean curvature tori in
Emma Carberry, Martin Kilian, Sebastian Klein +1
We use Whitham deformations to give a complete account of spectral data of real solutions of the sinh--Gordon equation of spectral genus 2. We parameterise the closure of spectral…
Penalizing fractional Brownian motion for being negative
Frank Aurzada, Micha Buck, Martin Kilian
We study a modification of the fractional analogue of the Brownian meander, which is Brownian motion conditioned to be positive on the time interval . More precisely, we d…
On closed finite gap curves in spaceforms II
Sebastian Klein, Martin Kilian
We prove that the set of closed finite gap curves in hyperbolic 3-space is -dense in the Sobolev space of all closed -curves in . We…
Constant Mean Curvature Trinoids with one Irregular End
Martin Kilian, Eduardo Mota, Nicholas Schmitt
We construct a new five parameter family of constant mean curvature trinoids with two asymptotically Delaunay ends and one irregular end.
On Closed Finite Gap Curves in Spaceforms I
Sebastian Klein, Martin Kilian
We show that the spaces of closed finite gap curves in and are dense with respect to the Sobolev -norm in the spaces of closed curves in ${…