Sakhavat M. Zarbaliev

most citedUniversality of the limit shape of convex lattice polygonal lines

14 citations · 15 across the 2 of their papers we have counts for

collaborators

2 papers

math.PR2011★ 1 cited

Inverse problem of the limit shape for convex lattice polygonal lines

Leonid V. Bogachev, Sakhavat M. Zarbaliev

It is known that random convex polygonal lines on $Z_{+}^{2}$ (with the endpoints fixed at $0 = (0, 0)$ and $n = (n_{1}, n_{2}) \to \infty$ ) have a limit shape with respect to the uniform…

math.PR2008★ 14 cited

Universality of the limit shape of convex lattice polygonal lines

Leonid V. Bogachev, Sakhavat M. Zarbaliev

Let $Π_{n}$ be the set of convex polygonal lines $Γ$ with vertices on $Z_{+}^{2}$ and fixed endpoints $0 = (0, 0)$ and $n = (n_{1}, n_{2})$ . We are concerned with the limi…