8 citations · 12 across the 7 of their papers we have counts for
7 papers
Logarithmic convergence of finite projective planes
Márton Borbényi, Panna Tímea Fekete, Aranka Hrušková +1
In this paper, we study the so-called log-convergence of graphs defined by Balázs Szegedy (arXiv:1504.00858). We answer his Question 4 affirmatively: the sequence of incidence grap…
On the inclusion of bounded harmonic functions of random walks
Yair Hartman, Aranka Hrušková, Omer Segev
We investigate the conditions under which the space of bounded harmonic functions of a probability measure on a group is contained in that of another measure . We establ…
Retraction Theorems for Group Compactifications
Yair Hartman, Aranka Hrušková, Mehrdad Kalantar +1
We characterize group compactifications of discrete groups for which there exists an equivariant retraction onto the boundary. In particular, we prove an equivariant analogue of Br…
Isometric rigidity of Wasserstein spaces over Euclidean spheres
György Pál Gehér, Aranka Hrušková, Tamás Titkos +1
We study the structure of isometries of the quadratic Wasserstein space over the sphere endowed with the distance inherited from…
Limits of action convergent graph sequences with unbounded -norms
Aranka Hrušková
The recently developed notion of action convergence by Backhausz and Szegedy unifies and generalises the dense (graphon) and local-global (graphing) convergences of graph sequences…
Factor-of-iid balanced orientation of non-amenable graphs
Ferenc Bencs, Aranka Hrušková, László Márton Tóth
We show that if a non-amenable, quasi-transitive, unimodular graph has all degrees even then it has a factor-of-iid balanced orientation, meaning each vertex has equal in- and…
Factor-of-iid Schreier decorations of lattices in Euclidean spaces
Ferenc Bencs, Aranka Hrušková, László Márton Tóth
A Schreier decoration is a combinatorial coding of an action of the free group on the vertex set of a -regular graph. We investigate whether a Schreier decoration exists…