Most of my papers have been
arxived
; the full list is below (together with links to arxiv or other places where a full text can be obtained). This page exists mostly to list some extra pieces  look for
miscellaneous notes
below.
papers :: preprints

Coarse medians and Property A, with Nick Wright, preprint on arxiv, accepted to Algebraic and Geometric Topology

Strong hyperbolicity, with Bogdan Nica, preprint on arxiv, accepted to Groups, Geometry and Dynamics
papers :: published

A metric approach to limit operators, with Rufus Willett, in Transactions of AMS, 2017, doi arxiv

Uniform local amenability, with Jacek Brodzki, Graham Niblo, Rufus Willett and Nick Wright, in Journal of Noncommutative Geometry, 2013, doi arxiv

On rigidity of Roe algebras, with Rufus Willett, in Advances of Mathematics, 2013, doi arxiv

Coarse nonamenability and coarse embeddings, with Goulnara Arzhantseva and Erik Guentner, in GAFA, 2012, doi (“The original publication is available at www.springerlink.com”) arxiv

Maximal and reduced Roe algebras of coarsely embeddable spaces, with Rufus Willett, in Journal für die reine und angewandte Mathematik (Crelle’s Journal), 2012, doi arxiv

Controlled coarse homology and isoperimetric inequalities, with Piotr Nowak, in Journal of Topology, 2010, pdf doi arxiv

NonKexact uniform Roe C*algebras, in Journal of Ktheory, 2012 (vol 10, iss 01, pp. 191201) pdf (Copyright held by Cambridge University Press) doi arxiv

Uniform version of Weyl–von Neumann theorem, in Archiv der Mathematik, 2010, doi (“The original publication is available at www.springerlink.com” link) arxiv

Uniform Khomology, in Journal of Functional Analysis, 2009, pdf doi

Almost homomorphisms of compact groups, with Pavol Zlatoš, in Illinois J. Math, 2004, pdf
miscellaneous notes

Metric Sparsification Property and limit operators pdf This has been superceded by a paper with Rufus Willett ["A metric approach to limit operators", on arxiv], which moreover generalises the notion of limit operators to a metric setting (as opposed to a group setting). I'm leaving this note up for anyone wanting to read the part "Property A implies that norms of inverses of limit ops are uniformly bounded" (i.e. a generalisation of Lindner and Seidel arxiv link to groups with Property A) in the group setting. This means that the machinery of ultralimits, limit spaces and such is not needed for this note; the notion of limit operators used is the "usual" one, ala Rabinovich–Roch–Silbermann.

pdf: A short note loosely explaining the argument of Ostrovskii [Lowdistortion embeddings of graphs with large girth, JFA 2012] using our terminology [ArzhantsevaGuentnerS: Coarse nonamenability and coarse embeddings, GAFA 2012]. As Ostrovskii uses a very different notation from ours, I wanted to summarise the extra argument he does to get not only a coarsely embeddable, but ''bilipschitz into l¹'' space without Property A.
theses
 PhD thesis (may 2008; "Ktheory of uniform Roe algebras"; Advisor Guoliang Yu; the content is mostly in the two papers "Uniform Khomology" and "NonKexact uniform Roe C*algebras") (pdf)
 Master thesis (july 2003; "On the locally compact case of Torunczyk's Approximation theorem"; Advisor Jan J. Dijkstra) (pdf)
 Diploma thesis (in slovak) (june 2003; "Aplikácie neštandardnej analýzy"; Advisor P. Zlatoš) (pdf)
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