activity
20082020
most citedCriteria for strong and weak random attractors

30 citations · 40 across the 6 of their papers we have counts for

collaborators

6 papers

q-fin.CP2020★ 1 cited

Volatility model calibration with neural networks a comparison between direct and indirect methods

Dirk Roeder, Georgi Dimitroff

In a recent paper "Deep Learning Volatility" a fast 2-step deep calibration algorithm for rough volatility models was proposed: in the first step the time consuming mapping from th…

math.PR2009★ 1 cited

Attractors and Expansion for Brownian Flows

Georgi Dimitroff, Michael Scheutzow

We show that a stochastic flow which is generated by a stochastic differential equation on with bounded volatility has a random attractor provided that the drift component i…

math.PR2009★ 1 cited

Uniform shrinking and expansion under isotropic Brownian flows

Peter Baxendale, Georgi Dimitroff

We study some finite time transport properties of isotropic Brownian flows. Under a certain nondegeneracy condition on the potential spectral measure, we prove that uniform shrinki…

math.PR2008★ 7 cited

Isotropic Ornstein-Uhlenbeck flows

Georgi Dimitroff, Holger van Bargen

Isotropic Brownian flows (IBFs) are a fairly natural class of stochastic flows which has been studied extensively by various authors. Their rich structure allows for explicit calcu…

math.PR2008

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…

math.PR2008★ 30 cited

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…