Artem Chernikov

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All published works

Action	Title	Year	Authors
+ PDF Chat	On n-dependent groups and fields III. Multilinear forms and invariant connected components	2024	Artem Chernikov Nadja Hempel
+ PDF Chat	Intersecting sets in probability spaces and Shelah's classification	2024	Artem Chernikov Henry Towsner
+ PDF Chat	Definable convolution and idempotent Keisler measures III. Generic stability, generic transitivity, and revised Newelski's conjecture	2024	Artem Chernikov Kyle Gannon Krzysztof Krupiński
+	Model-theoretic Elekes–Szabó for stable and o-minimal hypergraphs	2024	Artem Chernikov Ya’acov Peterzil Sergei Starchenko
+ PDF Chat	Perfect stable regularity lemma and slice-wise stable hypergraphs	2024	Artem Chernikov Henry Towsner
+ PDF	Definable convolution and idempotent Keisler measures, II	2023	Artem Chernikov Kyle Gannon
+ PDF	TRANSITIVITY, LOWNESS, AND RANKS IN NSOP THEORIES	2023	Artem Chernikov Byunghan Kim Nicholas Ramsey
+ PDF	Combinatorial properties of nonarchimedean convex sets	2023	Artem Chernikov Alex Mennen
+ PDF Chat	SEMI-EQUATIONAL THEORIES	2023	Artem Chernikov Alex Mennen
+ PDF	Invariant measures in simple and in small theories	2022	Artem Chernikov Ehud Hrushovski Alex Kruckman Krzysztof Krupiński Slavko Moconja Anand Pillay Nicholas Ramsey
+ PDF Chat	Definable convolution and idempotent Keisler measures	2022	Artem Chernikov Kyle Gannon
+	Distality in valued fields and related structures	2022	Matthias Aschenbrenner Artem Chernikov Allen Gehret Martin Ziegler
+	Definable convolution and idempotent Keisler measures II	2022	Artem Chernikov Kyle Gannon
+	Semi-equational theories	2022	Artem Chernikov Alex Mennen
+	Combinatorial properties of non-archimedean convex sets	2021	Artem Chernikov Alex Mennen
+ PDF	Definable Regularity Lemmas for Nip Hypergraphs	2021	Artem Chernikov Sergei Starchenko
+ PDF	On<i>n</i>-dependent groups and fields II	2021	Artem Chernikov Nadja Hempel
+ PDF	Zarankiewicz’s problem for semilinear hypergraphs	2021	Abdul Basit Artem Chernikov Sergei Starchenko Terence Tao Chieu-Minh Tran
+	Invariant measures in simple and in small theories	2021	Artem Chernikov Ehud Hrushovski Alex Kruckman Krzysztof Krupiński Slavko Moconja Anand Pillay Nicholas Ramsey
+	Model-theoretic Elekes-Szabó for stable and o-minimal hypergraphs	2021	Artem Chernikov Ya’acov Peterzil Sergei Starchenko
+	Combinatorial properties of non-archimedean convex sets	2021	Artem Chernikov Alex Mennen
+	Hypergraph regularity and higher arity VC-dimension	2020	Artem Chernikov Henry Towsner
+	Zarankiewicz's problem for semilinear hypergraphs	2020	Abdul Basit Artem Chernikov Sergei Starchenko Terence Tao Chieu-Minh Tran
+	Distality in valued fields and related structures	2020	Matthias Aschenbrenner Artem Chernikov Allen Gehret Martin Ziegler
+ PDF	Model-theoretic Elekes–Szabó in the strongly minimal case	2020	Artem Chernikov Sergei Starchenko
+ PDF Chat	Cutting lemma and Zarankiewicz’s problem in distal structures	2020	Artem Chernikov David Galvin Sergei Starchenko
+	Hypergraph regularity and higher arity VC-dimension	2020	Artem Chernikov Henry Towsner
+	Zarankiewicz's problem for semilinear hypergraphs	2020	Abdul W. Basit Artem Chernikov Sergei Starchenko Terence Tao Chieu-Minh Tran
+	Distality in valued fields and related structures	2020	Matthias Aschenbrenner Artem Chernikov Allen Gehret Martin Ziegler
+	Transitivity, lowness, and ranks in NSOP$_1$ theories	2020	Artem Chernikov Byunghan Kim Nicholas Ramsey
+	Definable convolution and idempotent Keisler measures	2020	Artem Chernikov Kyle Gannon
+ PDF Chat	HENSELIAN VALUED FIELDS AND inp-MINIMALITY	2019	Artem Chernikov Pierre Simon
+ PDF Chat	On n-Dependence	2019	Artem Chernikov Daniel Palacín Kota Takeuchi
+ PDF Chat	RAMSEY GROWTH IN SOME NIP STRUCTURES	2019	Artem Chernikov Sergei Starchenko Margaret E. M. Thomas
+ PDF	Mekler’s construction and generalized stability	2019	Artem Chernikov Nadja Hempel
+ PDF	Model theory, Keisler measures, and groups - Ehud Hrushovski, Ya’acov Peterzil and Anand Pillay, Groups, measures, and the NIP. Journal of the American Mathematical Society, vol. 21 (2008), no. 2, pp. 563–596. - Ehud Hrushovski and Anand Pillay, On NIP and invariant measures. Journal of the European Mathematical Society, vol.13 (2011), no. 4, pp. 1005–1061. - Ehud Hrushovski, Anand Pillay, and Pierre Simon, Generically stable and smooth measures in NIP theories. Transactions of the American …	2018	Artem Chernikov
+ PDF Chat	Regularity lemma for distal structures	2018	Artem Chernikov Sergei Starchenko
+	A model-theoretic generalization of the Elekes-Szab\'o theorem	2018	Artem Chernikov Sergei Starchenko
+	Model-theoretic Elekes-Szab\'o in the strongly minimal case	2018	Artem Chernikov Sergei Starchenko
+	On generalizations of the Elekes-Szabo theorem	2018	Artem Chernikov
+	Model-theoretic Elekes-Szabó in the strongly minimal case	2018	Artem Chernikov Sergei Starchenko
+	Definably amenable NIP groups	2017	Artem Chernikov Pierre Simon
+	Mekler's construction and generalized stability	2017	Artem Chernikov Nadja Hempel
+	Mekler's construction and generalized stability	2017	Artem Chernikov Nadja Hempel
+	A note on the Erdős-Hajnal property for stable graphs	2016	Artem Chernikov Sergei Starchenko
+	Cutting lemma and Zarankiewicz's problem in distal structures	2016	Artem Chernikov David Galvin Sergei Starchenko
+ PDF Chat	On model-theoretic tree properties	2016	Artem Chernikov Nicholas Ramsey
+	On non-forking spectra	2016	Artem Chernikov Itay Kaplan Saharon Shelah
+ PDF	Henselian valued fields and inp-minimality	2016	Artem Chernikov Pierre Simon
+	Definable regularity lemmas for NIP hypergraphs	2016	Artem Chernikov Sergei Starchenko
+	Definable regularity lemmas for NIP hypergraphs	2016	Artem Chernikov Sergei Starchenko
+	Cutting lemma and Zarankiewicz's problem in distal structures	2016	Artem Chernikov David Galvin Sergei Starchenko
+	Henselian valued fields and inp-minimality	2016	Artem Chernikov Pierre Simon
+	Regularity lemma for distal structures	2015	Artem Chernikov Sergei Starchenko
+	On model-theoretic tree properties	2015	Artem Chernikov Nicholas Ramsey
+	A note on the Erd\H{o}s-Hajnal property for stable graphs	2015	Artem Chernikov Sergei Starchenko
+	Externally definable sets and dependent pairs II	2015	Artem Chernikov Pierre Simon
+ PDF Chat	Definably amenable NIP groups	2015	Artem Chernikov Pierre Simon
+ PDF Chat	ON THE NUMBER OF DEDEKIND CUTS AND TWO-CARDINAL MODELS OF DEPENDENT THEORIES	2015	Artem Chernikov Saharon Shelah
+	Definably amenable NIP groups	2015	Artem Chernikov Pierre Simon
+	Regularity lemma for distal structures	2015	Artem Chernikov Sergei Starchenko
+	On model-theoretic tree properties	2015	Artem Chernikov Nicholas Ramsey
+	A note on the Erdős-Hajnal property for stable graphs	2015	Artem Chernikov Sergei Starchenko
+	On n-dependence	2014	Artem Chernikov Daniel Palacín Kota Takeuchi
+	Groups and fields with $\operatorname {NTP}_{2}$	2014	Artem Chernikov Itay Kaplan Pierre Simon
+ PDF	Valued difference fields and NTP2	2014	Artem Chernikov Martin Hils
+ PDF Chat	External definability and groups in NIP theories	2014	Artem Chernikov Anand Pillay Pierre Simon
+ PDF	AN INDEPENDENCE THEOREM FOR NTP2 THEORIES	2014	Itaï Ben Yaacov Artem Chernikov
+ PDF	An independence theorem for NTP2 theories	2014	Itaï Ben Yaacov Artem Chernikov
+	On n-dependence	2014	Artem Chernikov Daniel Palacín Kota Takeuchi
+	Theories without the tree property of the second kind	2013	Artem Chernikov
+	Groups and fields with NTP2	2012	Artem Chernikov Itay Kaplan Pierre Simon
+ PDF	On theories without the tree property of the second kind	2012	Artem Chernikov
+	Sur les théories sans la propriété de l'arbre du second type	2012	Artem Chernikov
+ PDF Chat	Valued difference fields and NTP2	2012	Artem Chernikov Martin Hils
+	On non-forking spectra	2012	Artem Chernikov Itay Kaplan Saharon Shelah
+	On non-forking spectra	2012	Artem Chernikov Itay Kaplan Saharon Shelah
+	On non-forking spectra	2012	Artem Chernikov Itay Kaplan Saharon Shelah
+	On non-forking spectra	2012	Artem Chernikov Itay Kaplan Saharon Shelah
+ PDF Chat	Externally definable sets and dependent pairs	2012	Artem Chernikov Pierre Simon
+	Externally definable sets and dependent pairs II	2012	Artem Chernikov Pierre Simon
+ PDF	Forking and Dividing in NTP<sub>2</sub> theories	2012	Artem Chernikov Itay Kaplan
+	Valued difference fields and NTP2	2012	Artem Chernikov Martin Hils
+	An independence theorem for NTP2 theories	2012	Itaï Ben Yaacov Artem Chernikov
+	Externally definable sets and dependent pairs II	2012	Artem Chernikov Pierre Simon
+	On non-forking spectra	2012	Artem Chernikov Itay Kaplan Saharon Shelah
+	Theories without the tree property of the second kind	2012	Artem Chernikov
+	Groups and fields with NTP2	2012	Artem Chernikov Itay Kaplan Pierre Simon
+	Externally definable sets and dependent pairs	2010	Artem Chernikov Pierre Simon
+	Forking in NTP_2 theories	2009	Artem Chernikov Itay Kaplan
+	Naming an indiscernible sequence in NIP theories	2009	Artem Chernikov Pierre Simon
+	Forking in NTP_2 theories	2009	Artem Chernikov Itay Kaplan

Common Coauthors

Coauthor	Papers Together
Sergei Starchenko	22
Pierre Simon	16
Itay Kaplan	12
Nicholas Ramsey	7
Saharon Shelah	7
Alex Mennen	5
Kyle Gannon	5
Nadja Hempel	5
Henry Towsner	4
Itaï Ben Yaacov	3
Daniel Palacín	3
Krzysztof Krupiński	3
Kota Takeuchi	3
Martin Hils	3
Matthias Aschenbrenner	3
Allen Gehret	3
Terence Tao	3
David Galvin	3
Chieu-Minh Tran	3
Martin Ziegler	3
Anand Pillay	3
Abdul Basit	2
Alex Kruckman	2
Ya’acov Peterzil	2
Byunghan Kim	2
Ehud Hrushovski	2
Slavko Moconja	2
Abdul W. Basit	1
Margaret E. M. Thomas	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	On NIP and invariant measures	2011	Ehud Hrushovski Anand Pillay	22
+ PDF Chat	Regularity lemma for distal structures	2018	Artem Chernikov Sergei Starchenko	16
+	Distal and non-distal NIP theories	2012	Pierre Simon	14
+	Vapnik-Chervonenkis density in some theories without the independence property, I	2015	Matthias Aschenbrenner Alf Dolich Deirdre Haskell Dugald Macpherson Sergei Starchenko	13
+ PDF	Forking and Dividing in NTP<sub>2</sub> theories	2012	Artem Chernikov Itay Kaplan	13
+ PDF Chat	Dependent first order theories, continued	2009	Saharon Shelah	11
+	Stable group theory and approximate subgroups	2011	Ehud Hrushovski	11
+ PDF	Generically stable and smooth measures in NIP theories	2012	Ehud Hrushovski Anand Pillay Pierre Simon	10
+	Introduction to theories without the independence property	2008	Hans H. Adler	10
+	A Guide to NIP Theories	2015	Pierre Simon	10
+	Geometric Stability Theory	1996	Anand Pillay	9
+ PDF Chat	Externally definable sets and dependent pairs	2012	Artem Chernikov Pierre Simon	9
+	Strongly dependent theories	2005	Saharon Shelah	9
+	Externally definable sets and dependent pairs II	2015	Artem Chernikov Pierre Simon	9
+	Theories without the tree property of the second kind	2013	Artem Chernikov	9
+ PDF Chat	Strongly dependent theories	2014	Saharon Shelah	9
+	Definable groups for dependent and 2-dependent theories	2007	Saharon Shelah	8
+	On dp-minimality, strong dependence and weight	2011	Alf Onshuus Alexander Usvyatsov	8
+ PDF Chat	On dp-minimal ordered structures	2011	Pierre Simon	8
+	Extremal problems in discrete geometry	1983	Endre Szemerédi W. T. Trotter	7
+ PDF Chat	Cutting lemma and Zarankiewicz’s problem in distal structures	2020	Artem Chernikov David Galvin Sergei Starchenko	7
+	A monotonicity theorem for dp-minimal densely ordered groups	2010	John Goodrick	6
+	A Course in Model Theory	2012	Katrin Tent Martin Ziegler	6
+	Additivity of the dp-rank	2013	Itay Kaplan Alf Onshuus Alexander Usvyatsov	6
+	Minimal bounded index subgroup for dependent theories	2007	Saharon Shelah	6
+ PDF	Stable Domination and Independence in Algebraically Closed Valued Fields	2007	Deirdre Haskell Ehud Hrushovski Dugald Macpherson	6
+	Aronszajn trees and the independence of the transfer property	1972	William Mitchell	6
+	Groups and fields with $\operatorname {NTP}_{2}$	2014	Artem Chernikov Itay Kaplan Pierre Simon	5
+	Dependent dreams: recounting types	2012	Saharon Shelah	5
+ PDF	An independence theorem for NTP2 theories	2014	Itaï Ben Yaacov Artem Chernikov	5
+ PDF	Dp-Minimality: Basic Facts and Examples	2011	Alfred Dolich John Goodrick David Lippel	5
+ PDF	Groups, measures, and the NIP	2007	Ehud Hrushovski Ya’acov Peterzil Anand Pillay	5
+ PDF	Model-theoretic Elekes–Szabó in the strongly minimal case	2020	Artem Chernikov Sergei Starchenko	5
+	Notions around tree property 1	2011	Byunghan Kim Hyeung-Joon Kim	5
+ PDF Chat	Regularity lemmas for stable graphs	2013	M. Malliaris Saharon Shelah	5
+ PDF Chat	An o-minimal Szemerédi–Trotter theorem	2017	Saugata Basu Orit E. Raz	5
+ PDF	The theory of ordered abelian groups does not have the independence property	1984	Yuri Gurevich Peter H. Schmitt	5
+	Simplicity, and stability in there	2001	Byunghan Kim	5
+	Generic structures and simple theories	1998	Zoé Chatzidakis Anthony L. Pillay	4
+ PDF	On <i>n</i>‐dependent groups and fields	2016	Nadja Hempel	4
+	Induced Ramsey-type theorems	2008	Jacob Fox Benny Sudakov	4
+	Measures and forking	1987	H. Jerome Keisler	4
+	Tame Topology and O-minimal Structures	1998	L. P. D. van den Dries	4
+ PDF Chat	Asymptotic Differential Algebra and Model Theory of Transseries	2017	Matthias Aschenbrenner Lou van den Dries Joris van der Hoeven	4
+	On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities	2015	Vladimir Vapnik Alexey Chervonenkis	4
+ PDF	Types dans les corps valués munis d'applications coefficients	1999	Luc Bélair	4
+	Enveloping semigroups in topological dynamics	2007	Eli Glasner	4
+	Lascar strong types in some simple theories	1999	Steven Buechler	4
+ PDF	Diophantine geometry over groups VIII: Stability	2013	Zlil Sela	4
+	Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory	1971	Saharon Shelah	4