Łukasz Grabowski

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All published works

Action	Title	Year	Authors
+	Measurable equidecompositions for group actions with an expansion property	2022	Łukasz Grabowski András Máthé Oleg Pikhurko
+	Almost commuting matrices with respect to the rank metric	2021	Gábor Elek Łukasz Grabowski
+ PDF Chat	On directed analogues of expander and hyperfinite graph sequences	2021	Endre Csóka Łukasz Grabowski
+	On random compact sets, equidecomposition, and domains of expansion in R^3.	2021	Tomasz Cieśla Łukasz Grabowski
+	On directed analogues of expander and hyperfinite graph sequences	2020	Endre Csóka Łukasz Grabowski
+	Almost commuting matrices and the effective Nullstellensatz	2017	Gábor Elek Łukasz Grabowski
+	Almost commuting matrices with respect to the rank metric	2017	Gábor Elek Łukasz Grabowski
+ PDF Chat	Measurable circle squaring	2017	Łukasz Grabowski András Máthé Oleg Pikhurko
+ PDF Chat	On computing homology gradients over finite fields	2016	Łukasz Grabowski Thomas Schick
+ PDF Chat	Irrational $l^2$ invariants arising from the lamplighter group	2016	Łukasz Grabowski
+	Borel version of the Local Lemma	2016	Endre Csóka Łukasz Grabowski András Máthé Oleg Pikhurko Konstantinos Tyros
+ PDF Chat	Group ring elements with large spectral density	2015	Łukasz Grabowski
+ PDF Chat	Vanishing of <i>l</i><sup>2</sup>‐cohomology as a computational problem	2015	Łukasz Grabowski
+	Measurable circle squaring	2015	Łukasz Grabowski András Máthé Oleg Pikhurko
+ PDF Chat	None	2015	George Glauberman Łukasz Grabowski
+ PDF Chat	On Turing dynamical systems and the Atiyah problem	2014	Łukasz Grabowski
+	Measurable equidecompositions via combinatorics and group theory	2014	Łukasz Grabowski András Máthé Oleg Pikhurko
+	On the decidability of the zero-divisor problem	2012	Łukasz Grabowski
+	On Turing machines, groupoids, and Atiyha problem	2011	Łukasz Grabowski
+	On the Atiyah problem for the lamplighter groups	2010	Łukasz Grabowski
+	Irrational l2-invariants arising from the lamplighter group	2010	Łukasz Grabowski
+	On Turing machines, dynamical systems and the Atiyah problem	2010	Łukasz Grabowski

Common Coauthors

Coauthor	Papers Together
András Máthé	5
Oleg Pikhurko	5
Endre Csóka	3
Gábor Elek	3
Konstantinos Tyros	1
Thomas Schick	1
Tomasz Cieśla	1
George Glauberman	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	L2-Invariants: Theory and Applications to Geometry and K-Theory	2002	Wolfgang Lück	8
+	A Course in Abstract Harmonic Analysis	2015	Gerald B. Folland	7
+ PDF Chat	Rational group ring elements with kernels having irrational dimension	2013	Tim Austin	7
+ PDF Chat	Introduction to ℓ2-methods in topology: Reduced ℓ2-homology, harmonic chains, ℓ2-betti numbers	2000	Beno Eckmann	6
+ PDF Chat	Closed manifolds with transcendental<i>L</i><sup>2</sup>-Betti numbers:	2015	Mikaël Pichot Thomas Schick Andrzej Żuk	6
+ PDF Chat	On the spectrum of lamplighter groups and percolation clusters	2008	Franz Lehner Markus Neuhauser Wolfgang Woess	5
+	Equidecomposability and discrepancy; a solution of Tarski's circle-squaring problem	1990	Miklós Laczkovich	5
+	Sur la décomposition des ensembles de points en parties respectivement congruentes	1924	Stefan Banach Alfred Tarski	5
+	Division Rings and Group von Neumann Algebras	1993	Peter A. Linnell	5
+ PDF Chat	Free lamplighter groups and a question of Atiyah	2013	Franz Lehner Stephan Wagner	5
+ PDF Chat	On Turing dynamical systems and the Atiyah problem	2014	Łukasz Grabowski	4
+ PDF Chat	Perfect matchings as IID factors on non-amenable groups	2011	Russell Lyons Fëdor Nazarov	4
+ PDF Chat	On a question of Atiyah	2000	Rostislav Grigorchuk Peter A. Linnell Thomas Schick Andrzej Żuk	4
+ PDF Chat	Equidecomposability of Jordan domains under groups of isometries	2003	Miklós Laczkovich	4
+	ApproximatingL 2-invariants by their finite-dimensional analogues	1994	Wolfgang Lück	4
+	L2-Cohomology and group cohomology	1986	Jeff Cheeger Mikhael Gromov	4
+ PDF Chat	The spectral measure of certain elements of the complex group ring of a wreath product	2002	Warren Dicks Thomas Schick	4
+ PDF Chat	Hyperlinearity, essentially free actions and L2-invariants. The sofic property	2005	Gábor Elek Endre Szabó	3
+	Decomposition of sets of small or large boundary	1993	Miklós Laczkovich	3
+	Baire measurable paradoxical decompositions via matchings	2015	Andrew Marks Spencer Unger	3
+	Borel Chromatic Numbers	1999	Alexander S. Kechris Sławomir Solecki Stevo Todorčević	3
+	Transcendence of the values of certain series with Hadamard's gaps	2002	Taka-aki Tanaka	3
+ PDF Chat	L 2-topological invariants of 3-manifolds	1995	John Lott Wolfgang L�ck	3
+ PDF Chat	On a conjecture of Atiyah	2000	Rostislav Grigorchuk Peter A. Linnell Thomas Schick Andrzej Żuk	3
+	On the spectrum of a random walk on the discrete Heisenberg group and the norm of Harper's operator	1997	Cédric Béguin Alain Valette Andrzej Żuk	3
+ PDF Chat	Irrational $l^2$ invariants arising from the lamplighter group	2016	Łukasz Grabowski	3
+	The Banach-Tarski paradox	1985	Stanley Wagon	3
+	Entropy and isomorphism theorems for actions of amenable groups	1987	Donald Ornstein Benjamin Weiss	3
+ PDF Chat	Sofic groups and diophantine approximation	2007	Andreas Thom	3
+	Invariants ℓ2 de relations d’équivalence et de groupes	2002	Damien Gaboriau	3
+	Combinatorial Group Theory	1990	Roger C. Lyndon Paul E. Schupp	2
+	Paradoxical Decompositions: A Survey of Recent Results	1994	Miklós Laczkovich	2
+	Measurable equidecompositions for group actions with an expansion property	2022	Łukasz Grabowski András Máthé Oleg Pikhurko	2
+	Edge isoperimetric theorems for integer point arrays	1995	R. Ahlswede S.L. Bezrukov	2
+	None	2001	Rostislav Grigorchuk Andrzej Żuk	2
+ PDF Chat	Hyperlinear and Sofic Groups: A Brief Guide	2008	Vladimir Pestov	2
+ PDF Chat	Approximating <i>L</i><sup>2</sup>‐invariants and the Atiyah conjecture	2003	Józef Dodziuk Peter A. Linnell Varghese Mathai Thomas Schick Stuart Yates	2
+ PDF Chat	Banach-Tarski paradox using pieces with the property of Baire.	1992	Randall Dougherty M. Foreman	2
+	Invariant matchings of exponential tail on coin flips in $\Z^d$	2009	Ádám Timár	2
+	Some unsolved problems of unknown depth about operators on Hilbert space	1976	Paul R. Halmos	2
+ PDF Chat	Congruence by Dissection of Topological Discs—An Elementary Approach to Tarski's Circle Squaring Problem	2002	Richter	2
+ PDF Chat	Banach-Tarski decompositions using sets with the property of Baire	1994	Randall Dougherty Matthew Foreman	2
+	The Strong Approximation Conjecture holds for amenable groups	2006	Gábor Elek	2
+	Finitely additive measures on S2 and S3, invariant with respect to rotations	1985	Vladimir Drinfeld	2
+	Some Properties of Enumeration in the Theory of Modular Systems	1927	F. S. Macaulay	2
+	Bounds for the Degrees in the Nullstellensatz	1987	W. Dale Brownawell	2
+ PDF Chat	An inequality related to the isoperimetric inequality	1949	Lynn H. Loomis Hassler Whitney	2
+ PDF Chat	Borel oracles. An analytical approach to constant-time algorithms	2010	Gábor Elek Gábor Lippner	2
+ PDF Chat	Making Almost Commuting Matrices Commute	2009	M. B. Hastings	2
+	Some remarks on invariant means	1980	G. A. Margulis	2