Rachel Greenfeld

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All published works

Action	Title	Year	Authors
+ PDF Chat	Periodicity and decidability of translational tilings by rational polygonal sets	2024	Jaume de Dios Pont Jan Grebík Rachel Greenfeld José Madrid
+ PDF Chat	A counterexample to the periodic tiling conjecture	2024	Rachel Greenfeld Terence Tao
+	On integer distance sets	2024	Rachel Greenfeld Marina Iliopoulou Sarah Peluse
+ PDF	Measurable Tilings by Abelian Group Actions	2023	Jan Grebík Rachel Greenfeld Václav Rozhoň Terence Tao
+ PDF	Undecidable Translational Tilings with Only Two Tiles, or One Nonabelian Tile	2023	Rachel Greenfeld Terence Tao
+	Tiling, spectrality and aperiodicity of connected sets	2023	Rachel Greenfeld Mihail N. Kolountzakis
+	Undecidability of translational monotilings	2023	Rachel Greenfeld Terence Tao
+ PDF	Decoupling for fractal subsets of the parabola	2022	Alan Chang Jaume de Dios Pont Rachel Greenfeld Asgar Jamneshan Zane Kun Li José Madrid
+ PDF	An uncountable ergodic Roth theorem and applications	2022	Polona Durcik Rachel Greenfeld Annina Iseli Asgar Jamneshan José Madrid
+	Measurable tilings by abelian group actions	2022	Jan Grebík Rachel Greenfeld Václav Rozhoň Terence Tao
+	A counterexample to the periodic tiling conjecture (announcement)	2022	Rachel Greenfeld Terence Tao
+	A counterexample to the periodic tiling conjecture	2022	Rachel Greenfeld Terence Tao
+	Generalized Collatz Maps with Almost Bounded Orbits.	2021	Felipe Gonçalves Rachel Greenfeld José Madrid
+ PDF	The structure of translational tilings in $\mathbb{Z}^d$	2021	Rachel Greenfeld Terence Tao
+	Uniform syndeticity of multiple recurrence times for two commuting actions of amenable groups	2021	Polona Durcik Rachel Greenfeld Annina Iseli Asgar Jamneshan José Madrid
+	Undecidable translational tilings with only two tiles, or one nonabelian tile	2021	Rachel Greenfeld Terence Tao
+	Additive energies on discrete cubes	2021	Jaume de Dios Pont Rachel Greenfeld Paata Ivanisvili José Madrid
+	Generalized Collatz Maps with Almost Bounded Orbits	2021	Felipe Gonçalves Rachel Greenfeld José Madrid
+	An uncountable ergodic Roth theorem and applications	2021	Polona Durcik Rachel Greenfeld Annina Iseli Asgar Jamneshan José Madrid
+ PDF Chat	Spectrality of product domains and Fuglede’s conjecture for convex polytopes	2020	Rachel Greenfeld Nir Lev
+	The structure of translational tilings in $\mathbb{Z}^d$	2020	Rachel Greenfeld Terence Tao
+	Decoupling for fractal subsets of the parabola	2020	Alan Chang Jaume de Dios Pont Rachel Greenfeld Asgar Jamneshan Zane Kun Li José Madrid
+	Spectrality of product domains and Fuglede's conjecture for convex polytopes	2018	Rachel Greenfeld Nir Lev
+	Spectrality of product domains and Fuglede's conjecture for convex polytopes	2018	Rachel Greenfeld Nir Lev
+ PDF Chat	Fuglede’s spectral set conjecture for convex polytopes	2017	Rachel Greenfeld Nir Lev
+ PDF Chat	Spectrality and tiling by cylindric domains	2016	Rachel Greenfeld Nir Lev

Common Coauthors

Coauthor	Papers Together
Terence Tao	10
José Madrid	9
Nir Lev	5
Asgar Jamneshan	5
Jaume de Dios Pont	4
Polona Durcik	3
Jan Grebík	3
Annina Iseli	3
Zane Kun Li	2
Felipe Gonçalves	2
Alan Chang	2
Václav Rozhoň	2
Marina Iliopoulou	1
Mihail N. Kolountzakis	1
Sarah Peluse	1
Paata Ivanisvili	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Spectral pairs in cartesian coordinates	1999	Palle E. T. Jørgensen Steen Pedersen	6
+	Tiling the line with translates of one tile	1996	Jeffrey C. Lagarias Yang Wang	6
+	Algorithms to tile the infinite grid with finite clusters	2002	Márió Szegedy	6
+	The Study of Translational Tiling with Fourier Analysis	2004	Mihail N. Kolountzakis	5
+ PDF Chat	Spectrality and tiling by cylindric domains	2016	Rachel Greenfeld Nir Lev	5
+	Undecidability and nonperiodicity for tilings of the plane	1971	Raphael M. Robinson	5
+ PDF	Convex bodies which tile space by translation	1980	Peter McMullen	5
+ PDF	Non-symmetric convex domains have no basis of exponentials	2000	Mihail N. Kolountzakis	4
+ PDF	The Fuglede spectral conjecture holds for convex planar domains	2003	Alex Iosevich Nets Hawk Katz Terence Tao	4
+	Periodicity and decidability of tilings of ℤ2	2020	Siddhartha Bhattacharya	4
+	The undecidability of the domino problem	1966	Robert E. Berger	4
+	Tesselation of integers	1977	Donald J. Newman	4
+	Uniform Partitions of unity on locally compact groups	1991	Horst Leptin Detlef Müller	4
+ PDF Chat	Convex bodies with a point of curvature do not have Fourier bases	2001	Alex Iosevich Nets Hawk Katz Terry Tao	4
+	Commuting self-adjoint partial differential operators and a group theoretic problem	1974	Bent Fuglede	3
+ PDF	Fourier bases and a distance problem of Erd\H os	1999	Alex Iosevich Nets Hawk Katz Steen Pedersen	3
+	Structure of tilings of the line by a function	1996	Mihail N. Kolountzakis Jeffrey C. Lagarias	3
+	Tiling the Integers with Translates of One Finite Set	1999	Ethan M. Coven Aaron Meyerowitz	3
+	Tilings by translation	2010	Mihail N. Kolountzakis Máté Matolcsi	3
+ PDF Chat	Fuglede’s spectral set conjecture for convex polytopes	2017	Rachel Greenfeld Nir Lev	3
+ PDF	Structure Results for Multiple Tilings in 3D	2013	Nick Gravin Mihail N. Kolountzakis Sinai Robins Dmitry Shiryaev	3
+ PDF Chat	Spectrality of product domains and Fuglede’s conjecture for convex polytopes	2020	Rachel Greenfeld Nir Lev	3
+	Tiling with sets of polyominoes	1970	Solomon W. Golomb	3
+	Orthonormal bases of exponentials for the n-cube	2000	Jeffrey C. Lagarias James A. Reeds Yang Wang	3
+ PDF	A class of non-convex polytopes that admit no orthonormal basis of exponentials	2002	Mihail N. Kolountzakis Michael Papadimitrakis	3
+	None	1997	Peter H. Schmitt	2
+	Tilings and Patterns.	1988	Solomon W. Golomb Branko Grünbaum G. C. Shephard	2
+	Spectral and Tiling properties of the Unit Cube	2001	Alex Iosevich Steen Pedersen	2
+ PDF	An aperiodic set of 11 Wang tiles	2021	Emmanuel Jeandel Michaël Rao	2
+	Tilings of the integers can have superpolynomial periods	2009	John P. Steinberger	2
+	The structure of translational tilings in $\mathbb{Z}^d$	2020	Rachel Greenfeld Terence Tao	2
+ PDF Chat	On Non-Periodic Tilings of the Real Line by a Function	2015	Mihail N. Kolountzakis Nir Lev	2
+ PDF Chat	Higher Order Fourier Analysis	2012	Terence Tao	2
+ PDF	Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three	2016	Jean Bourgain Ciprian Demeter Larry Guth	2
+ PDF Chat	Tiling, Circle Packing and Exponential Sums over Finite Fields	2018	C. Douglas Haessig Alex Iosevich Jonathan Pakianathan Sinai Robins L. Vaicunas	2
+ PDF Chat	A study guide for the l 2 decoupling theorem	2017	Jean Bourgain Ciprian Demeter	2
+	A decoupling for Cantor-like sets	2018	Ciprian Demeter	2
+ PDF	On the Structure of Multiple Translational Tilings by Polygonal Regions	2000	M. N. Kolountzakis	2
+	An Algebraic Approach to Nivat's Conjecture	2018	Michal Szabados	2
+ PDF	Divisibility of integer polynomials and tilings of the integers	2005	András Bíró	2
+ PDF	Fuglede’s conjecture is false in 5 and higher dimensions	2004	Terence Tao	2
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	2
+	Orthogonal exponentials on the ball	2001	Bent Fuglede	2
+	Convex bodies which tile space by translation: Acknowledgement of priority	1981	Peter McMullen	2
+	Finitary isomorphisms of irreducible Markov shifts	1979	Michaël Keane Meir Smorodinsky	1
+	Polytopes with centrally symmetric facets	1976	Peter McMullen	1
+	A reduction of Keller's conjecture	1986	Sylvia Szabo	1
+ PDF	Amenable groups and varieties of groups	1972	Gordon Keller	1
+ PDF	Bounded orthogonal systems and the Λ(p)-set problem	1989	Jean Bourgain	1
+	A measure-theoretic approach to the theory of dense hypergraphs	2012	Gábor Elek Balázs Szegedy	1