60 citations · 317 across the 50 of their papers we have counts for
5 papers · 1 filter
Existence and uniqueness of solutions of stochastic functional differential equations
Max-K. von Renesse, Michael Scheutzow
We provide sufficient conditions on the coefficients of a stochastic functional differential equation with bounded memory driven by Brownian motion which guarantee existence and un…
Dispersion of volume under the action of isotropic Brownian flows
Georgi Dimitroff, Michael Scheutzow
We study transport properties of isotropic Brownian flows. Under a transience condition for the two-point motion, we show asymptotic normality of the image of a finite measure unde…
Criteria for strong and weak random attractors
Hans Crauel, Georgi Dimitroff, Michael Scheutzow
The theory of random attractors has different notions of attraction, amongst them pullback attraction and weak attraction. We investigate necessary and sufficient conditions for th…
Multicast Capacity of Optical WDM Packet Ring for Hotspot Traffic
Matthias an der Heiden, Michel Sortais, Michael Scheutzow +2
Packet-switching WDM ring networks with a hotspot transporting unicast, multicast, and broadcast traffic are important components of high-speed metropolitan area networks. For an a…
Chaining Techniques and their Application to Stochastic Flows
Michael Scheutzow
We review several competing chaining methods to estimate the supremum, the diameter of the range or the modulus of continuity of a stochastic process in terms of tail bounds of the…