Or Shalom

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All published works

Action	Title	Year	Authors
+	On the maximal spectral type of nilsystems	2024	Ethan Ackelsberg Florian Richter Or Shalom
+ PDF	Host–Kra factors for ⊕p∈Pℤ∕pℤ actions and finite-dimensional nilpotent systems	2024	Or Shalom
+ PDF Chat	The structure of arbitrary Conze–Lesigne systems	2024	Asgar Jamneshan Or Shalom Terence Tao
+	An application of Grothendieck theorem to the theory of multicorrelation sequences, multiple recurrence and partition regularity of quadratic equations	2023	Or Shalom
+	The structure of totally disconnected Host--Kra--Ziegler factors, and the inverse theorem for the $U^k$ Gowers uniformity norms on finite abelian groups of bounded torsion	2023	Asgar Jamneshan Or Shalom Terence Tao
+	A Host--Kra ${\mathbf F}_2^ω$-system of order $5$ that is not Abramov of order $5$, and non-measurability of the inverse theorem for the $U^6({\mathbf F}_2^n)$ norm	2023	Asgar Jamneshan Or Shalom Terence Tao
+	On the maximal spectral type of nilsystems	2023	Ethan Ackelsberg Florian K. Richter Or Shalom
+ PDF Chat	Khintchine-type recurrence for 3-point configurations	2022	Ethan Ackelsberg Vitaly Bergelson Or Shalom
+ PDF	Khintchine-type recurrence for 3-point configurations	2022	Ethan Ackelsberg Vitaly Bergelson Or Shalom
+ PDF Chat	The structure of arbitrary Conze-Lesigne systems	2021	Asgar Jamneshan Or Shalom Terence Tao
+ PDF Chat	Host–Kra theory for -systems and multiple recurrence	2021	Or Shalom
+ PDF Chat	Multiple ergodic averages in abelian groups and Khintchine type recurrence	2021	Or Shalom
+	Host-Kra factors for $\bigoplus_{p\in P}\mathbb{Z}/p\mathbb{Z}$ actions and finite dimensional nilpotent systems	2021	Or Shalom
+	Host-Kra factors for $\bigoplus_{p\in P}\mathbb{Z}/p\mathbb{Z}$ actions and finite dimensional nilpotent systems	2021	Or Shalom
+	The structure of arbitrary Conze-Lesigne systems	2021	Asgar Jamneshan Or Shalom Terence Tao
+	Host-Kra theory for $\bigoplus_{p\in P}\mathbb{F}_p$- Systems and multiple recurrence	2020	Or Shalom
+	$\bigoplus_{p\in P}\mathbb{F}_p$-Systems as Abramov Systems	2020	Or Shalom
+	$\bigoplus_{p\in P}\mathbb{F}_p$-Systems as Abramov Systems	2020	Or Shalom

Common Coauthors

Coauthor	Papers Together
Terence Tao	5
Asgar Jamneshan	5
Ethan Ackelsberg	4
Vitaly Bergelson	2
Florian Richter	1
Florian K. Richter	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra	10
+	Universal characteristic factors and Furstenberg averages	2006	Tamar Ziegler	10
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers	8
+	The structure theory of Nilspaces II: Representation as nilmanifolds	2018	Yonatan Gutman Freddie Manners Péter P. Varjú	7
+ PDF	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi	7
+	Pontryagin Duality and the Structure of Locally Compact Abelian Groups	1977	Sidney A. Morris	7
+ PDF	An Inverse Theorem for the Uniformity Seminorms Associated with the Action of $${{\mathbb {F}^{\infty}_{p}}}$$	2010	Vitaly Bergelson Terence Tao Tamar Ziegler	7
+ PDF	An odd Furstenberg-Szemerédi theorem and quasi-affine systems	2002	Bernard Host Bryna Kra	7
+	Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits	2023	Pablo Candela Balázs Szegedy	7
+ PDF	Extensions of ergodic group actions	1976	Robert J. Zimmer	7
+ PDF Chat	Multiple ergodic averages in abelian groups and Khintchine type recurrence	2021	Or Shalom	6
+ PDF Chat	A non-conventional ergodic theorem for a nilsystem	2005	Tamar Ziegler	6
+ PDF Chat	On nilspace systems and their morphisms	2019	Pablo Candela Diego González-Sánchez Balázs Szegedy	6
+ PDF	The structure theory of nilspaces I	2020	Yonatan Gutman Freddie Manners Péter P. Varjú	6
+	Ergodic Properties of Affine Transformations and Flows on Nilmanifolds	1969	William Parry	6
+	Nilpotent Structures in Ergodic Theory	2018	Bernard Host Bryna Kra	6
+ PDF	Théorèmes ergodiques pour des mesures diagonales	1984	Jean-Pierre Conze Emmanuel Lesigne	6
+ PDF	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao	6
+	The structure theory of nilspaces III: Inverse limit representations and topological dynamics	2020	Yonatan Gutman Freddie Manners Péter P. Varjú	6
+ PDF Chat	Strictly ergodic distal models and a new approach to the Host-Kra factors	2022	Yonatan Gutman Zhengxing Lian	6
+ PDF	Multiple recurrence and nilsequences	2005	Vitaly Bergelson Bernard Host Bryna Kra Imre Z. Ruzsa	6
+ PDF	Norm convergence of nilpotent ergodic averages	2012	Miguel N. Walsh	5
+	Automatic Continuity of Group Homomorphisms	2009	Christian Rosendal	5
+	Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold	2004	A. Leibman	5
+	Nilspaces, nilmanifolds and their morphisms	2010	Omar Antolín Camarena Balázs Szegedy	4
+	Polynomial Sequences in Groups	1998	A. Leibman	4
+	The Descriptive Set Theory of Polish Group Actions	1996	Howard S. Becker Alexander S. Kechris	4
+	Coboundaries and Homomorphisms for Non-Singular Actions and a Problem of H. Helson	1980	Calvin C. Moore Klaus Schmidt	4
+ PDF	The inverse conjecture for the Gowers norm over finite fields via the correspondence principle	2010	Terence Tao Tamar Ziegler	4
+ PDF	An inverse theorem for the Gowers U^(s+1)[N]-norm	2012	Ben Green Terence Tao Tamar Ziegler	4
+	Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds	2019	Pablo Candela Balázs Szegedy	4
+ PDF	Multiple ergodic averages for three polynomials and applications	2008	Nikos Frantzikinakis	4
+	Transformation Groups and C ∗ -algebras	1965	Edward G. Effros	4
+ PDF Chat	Host–Kra theory for -systems and multiple recurrence	2021	Or Shalom	3
+	Compact Lie Groups	2011	Mark R. Sepanski	3
+	A Mean Ergodic Theorem for 1/NΣNn=1f(Tnx)g(Tn2x)	1996	Hillel Fürstenberg Benjamin Weiss	3
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg	3
+ PDF	Compact abelian group extensions of discrete dynamical systems	1969	William Parry	3
+	The Structure of Compact Groups	2006	Karl H. Hofmann Sidney A. Morris	3
+	Dynamical Systems on Nilmanifolds	1970	William Parry	3
+ PDF	Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds	2022	Pablo Candela Balázs Szegedy	3
+ PDF	On higher-order Fourier analysis in characteristic <i>p</i>	2023	Pablo Candela Diego González-Sánchez Balázs Szegedy	2
+	Multiple recurrence and convergence results associated to $${\text{F}}_P^\omega $$ -actions	2015	Vitaly Bergelson Terence Tao Tamar Ziegler	2
+	On Some Types of Topological Groups	1949	Kenkichi Iwasawa	2
+ PDF Chat	An ergodic correspondence principle, invariant means and applications	2021	Vitaly Bergelson Andreu Ferré Moragues	2
+	Higher order regionally proximal equivalence relations for general minimal group actions	2018	Eli Glasner Yonatan Gutman XiangDong Ye	2
+ PDF Chat	The logarithmic Sarnak conjecture for ergodic weights	2018	Nikos Frantzikinakis Bernard Host	2
+	Cohomology of Number Fields	2008	Jürgen Neukirch Alexander Schmidt Kay Wingberg	2
+	Flows on Homogeneous Spaces. (AM-53)	1963	Louis Auslander F. Hahn L. Green	2
+	Flows on Homogeneous Spaces.	1964	Robert Ellis L. Auslander L. Green F. Hahn Lawrence Markus William S. Massey Leon A. Greenberg	2