8 citations · 9 across the 2 of their papers we have counts for
3 papers
math.PR2015
Slit holomorphic stochastic flows and Gaussian free field
Georgy Ivanov, Nam-Gyu Kang, Alexander Vasil'ev
It was realized recently that the chordal, radial and dipolar SLEs are special cases of a general slit holomorphic stochastic flow. We characterize those slit holomorphic stochasti…
math.CV2014★ 1 cited
General slit Löwner chains
Georgy Ivanov, Alexey Tochin, Alexander Vasil'ev
We use general Löwner theory to define general slit Löwner chains in the unit disk, which in the stochastic case lead to slit holomorphic stochastic flows. Radial, chordal and dipo…
math.CV2012★ 8 cited
Loewner evolution driven by a stochastic boundary point
Georgy Ivanov, Alexander Vasil'ev
We consider evolution in the unit disk in which the sample paths are represented by the trajectories of points evolving randomly under the generalized Loewner equation. The driving…