3 papers
math.PR2017
Lamperti type theorems for random fields
Youri Davydov, Vygantas Paulauskas
In the paper we consider Lamperti type theorems for random fields. Together with known results we present some new results on -valued self-similar fields $\{{\bf X}…
math.PR2015
On convex hull and winding number of self similar processes
Youri Davydov
It is well known that for a standard Brownian motion (BM) with values in , its convex hull $ V(t)=\conv \{\{\,B(s),\;s \leq t \}$ with probabi…
math.PR2012
Random symmetrizations of convex bodies
D. Coupier, Yu. Davydov
In this paper, the asymptotic behavior of sequences of successive Steiner and Minkowski symmetrizations is investigated. We state an equivalence result between the convergences of…