17 citations · 28 across the 10 of their papers we have counts for
14 papers
Sampling elements of a finite group: efficiency of the product replacement algorithm with an accumulator
Michał Marcinkowski, Piotr Mizerka
Let be a finite group generated by elements. The well-known product replacement algorithm provides an effective method for sampling generating sets of . We study a refin…
On quasimorphisms and distortion in homeomorphism groups
Michael Brandenbursky, Jarek Kedra, Michal Marcinkowski +1
Let be a smooth compact oriented connected manifold, and the group of homeomorphisms of supported away from which preserve a Borel probab…
Volume and Euler classes in bounded cohomology of transformation groups
Michael Brandenbursky, Michał Marcinkowski
Let be an oriented smooth manifold, and the group of measure preserving homeomorphisms of , where is a finite measure induced by a volume for…
The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms
Michael Brandenbursky, Michał Marcinkowski, Egor Shelukhin
We prove a number of new results on the large-scale geometry of the -metrics on the group of area-preserving diffeomorphisms of each orientable surface. Our proofs use in a ke…
A short proof that the -diameter of is infinite
Michał Marcinkowski
We give a short proof that the -diameter of the group of area preserving diffeomorphisms isotopic to the identity of a compact surface is infinite.
Qualitative counting closed geodesics
Bastien Karlhofer, Jarek Kędra, Michał Marcinkowski +1
We investigate the geometry of word metrics on fundamental groups of manifolds associated with the generating sets consisting of elements represented by closed geodesics. We ask wh…
Bounded cohomology of transformation groups
Michael Brandenbursky, Michal Marcinkowski
Let be a complete connected Riemannian manifold of finite volume. In this paper we present a new method of constructing classes in bounded cohomology of transformation groups s…
Aut-invariant word norm on right angled Artin and right angled Coxeter groups
Michał Marcinkowski
We show that the Aut-invariant word norm on right angled Artin and right angled Coxeter groups is unbounded (except in few special cases). To prove unboundedness we exhibit certain…
Entropy and quasimorphisms
Michael Brandenbursky, Michał Marcinkowski
Let be a compact oriented surface. We construct homogeneous quasimorphisms on , on and on generalizing the constructions of Gambaudo-G…
Aut-invariant norms and Aut-invariant quasimorphisms on free and surface groups
Michael Brandenbursky, Michał Marcinkowski
Let be the free group on generators and the surface group of genus . We consider two particular generating sets: the set of all primitive elements in and t…
Burghelea conjecture and asymptotic dimension of groups
Alexander Engel, Michal Marcinkowski
We review the Burghelea conjecture, which constitutes a full computation of the periodic cyclic homology of complex group rings, and its relation to the algebraic Baum-Connes conje…
Gromov positive scalar curvature conjecture and rationally inessential macroscopically large manifolds
Michał Marcinkowski
We give the first examples of rationally inessential but macroscopically large manifolds. Our manifolds are counterexamples to the Dranishnikov rationality conjecture. For some of…
Cancelation norm and the geometry of biinvariant word metrics
Michael Brandenbursky, Światosław R. Gal, Jarek Kędra +1
We study biinvariant word metrics on groups. We provide an efficient algorithm for computing the biinvariant word norm on a finitely generated free group and we construct an isomet…
Aperiodic tilings of manifolds of intermediate growth
Michał Marcinkowski, Piotr W. Nowak
We give a homological construction of aperiodic tiles for certain open Riemannian surfaces admitting actions of Grigorchuk groups of intermediate growth.