Roman Urban

activity

20042017

most citedEstimates for the Poisson kernel and the evolution kernel on nilpotent meta-abelian groups

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.PR2017

Levy processes in cones of fuzzy vectors

Jan Schneider, Roman Urban

The general problem of how to construct stochastic processes which are confined to stay in a predefined cone (in the one-dimensional but also multi-dimensional case also referred t…

math.PR2017

Convergence of fuzzy random walks to a standard Brownian motion

Jan Schneider, Roman Urban

In this note - starting from $d$ -dimensional (with $d > 1$ ) fuzzy vectors - we prove Donsker's classical invariance principle. We consider a fuzzy random walk ${S^*_n}=X^*_1+\cdots+X…

math.FA2011★ 2 cited

Estimates for the Poisson kernel and the evolution kernel on nilpotent meta-abelian groups

Richard Penney, Roman Urban

Let $S$ be a semi direct product $S = N ⋊ A$ where $N$ is a connected and simply connected, non-abelian, nilpotent meta-abelian Lie group and $A$ is isomorphic with $R^{k},$ $k>1…

math.NT2011

Markov processes on the adeles and Dedekind's zeta function

Roman Urban

Let $K$ be an algebraic number field. We construct an additive Markov process $X_{t}^{K_{A}}$ on the ring of adeles $K_{A},$ whose coordinates $X_{t}^{(v)}$ are independent…

math.DS2004

Semigroup actions on tori and stationary measures on projective spaces

Yves Guivarc'H, Roman Urban

Let $Γ$ be a sub-semigroup of $G = G L (d, R),$ $d > 1.$ We assume that the action of $Γ$ on $R^{d}$ is strongly irreducible and that $Γ$ contains a proximal and expanding element.…