Edit Profile (opens in new tab) Jin, Renling Co-Author Distance Author ID: jin.renling Published as: Jin, Renling Documents Indexed: 53 Publications since 1984, including 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 15 Co-Authors with 22 Joint Publications 676 Co-Co-Authors all top 5 Co-Authors 32 single-authored 7 Di Nasso, Mauro 7 Shelah, Saharon 5 Goldbring, Isaac 5 Leth, Steven C. 5 Lupini, Martino 5 Mahlburg, Karl 3 Keisler, Howard Jerome 2 He, Jialiang 2 Zhang, Shuguo 1 Bergelson, Vitaly 1 Bihani, Prerna 1 Blass, Andreas Raphael 1 Borisov, Lev A. 1 Borovik, Alexandre V. 1 Katz, Mikhail G. all top 5 Serials 12 The Journal of Symbolic Logic 4 Annals of Pure and Applied Logic 3 Notre Dame Journal of Formal Logic 3 Transactions of the American Mathematical Society 3 Archive for Mathematical Logic 3 Integers 2 Advances in Mathematics 2 Journal of Number Theory 2 Proceedings of the American Mathematical Society 1 Israel Journal of Mathematics 1 Acta Arithmetica 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Topology and its Applications 1 Journal of Shanghai Teachers University. Natural Sciences Edition 1 Journal de Théorie des Nombres de Bordeaux 1 The Bulletin of Symbolic Logic 1 Contemporary Mathematics 1 Logic and Analysis all top 5 Fields 44 Mathematical logic and foundations (03-XX) 27 Number theory (11-XX) 10 Measure and integration (28-XX) 5 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 187 times in 109 Documents Cited by ▼ Year ▼ The sumset phenomenon. Zbl 0985.03066 Jin, Renling 23 2002 Nonstandard methods for upper Banach density problems. Zbl 1071.11503 Jin, Renling 13 2001 Freiman’s inverse problem with small doubling property. Zbl 1231.11012 Jin, Renling 10 2007 The isomorphism property versus the special model axiom. Zbl 0770.03025 Jin, Renling 8 1992 Solution to the inverse problem for upper asymptotic density. Zbl 1138.11045 Jin, Renling 7 2006 Abelian groups with layered tiles and the sumset phenomenon. Zbl 1047.03051 Jin, Renling; Keisler, H. Jerome 7 2003 Abstract densities and ideals of sets. Zbl 1423.11027 Di Nasso, Mauro; Jin, Renling 7 2018 An integer construction of infinitesimals: toward a theory of eudoxus hyperreals. Zbl 1266.03074 Borovik, Alexandre; Jin, Renling; Katz, Mikhail G. 7 2012 Kneser’s theorem for upper Banach density. Zbl 1138.11044 Bihani, Prerna; Jin, Renling 6 2006 Plünnecke’s theorem for asymptotic densities. Zbl 1277.11006 Jin, Renling 6 2011 Standardizing nonstandard methods for upper Banach density problems. Zbl 1098.11009 Jin, Renling 6 2004 High density piecewise syndeticity of sumsets. Zbl 1398.11029 Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl 6 2015 On a sumset conjecture of Erdős. Zbl 1365.11008 Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl 6 2015 The strength of the isomorphism property. Zbl 0798.03065 Jin, Renling; Shelah, Saharon 5 1994 Planting Kurepa trees and killing Jech-Kunen trees in a model by using one inaccessible cardinal. Zbl 0809.03038 Shelah, Saharon; Jin, Renling 5 1992 Maharam spectra of Loeb spaces. Zbl 0972.28009 Jin, Renling; Keisler, H. Jerome 4 2000 Applications of nonstandard analysis in additive number theory. Zbl 1071.11502 Jin, Renling 4 2000 Introduction of nonstandard methods for number theorists. Zbl 1185.11011 Jin, Renling 4 2008 A model in which every Kurepa tree is thick. Zbl 0790.03048 Jin, Renling 4 1992 A theorem on the isomorphism property. Zbl 0769.03037 Jin, Renling 4 1992 A model in which there are Jech-Kunen trees but there are no Kurepa trees. Zbl 0790.03049 Shelah, Saharon; Jin, Renling 4 1993 Inverse problem for upper asymptotic density. Zbl 1077.11007 Jin, Renling 4 2003 Characterizing the structure of \(A+B\) when \(A+B\) has small upper Banach density. Zbl 1201.11016 Jin, Renling 4 2010 Game sentences and ultrapowers. Zbl 0781.03013 Jin, Renling; Keisler, H. Jerome 3 1993 Better nonstandard universes with applications. Zbl 0910.03041 Jin, R. 3 1997 Type two cuts, bad cuts and very bad cuts. Zbl 0897.03064 Jin, Renling 3 1997 Some independence results related to the Kurepa tree. Zbl 0748.03034 Jin, Renling 3 1991 Finding integral diagonal pairs in a two dimensional \(\mathcal{N}\)-set. Zbl 1246.11061 Borisov, Lev A.; Jin, Renling 2 2011 Possible size of an ultrapower of \(\omega\). Zbl 0924.03099 Jin, Renling; Shelah, Saharon 2 1999 Cuts in hyperfinite time lines. Zbl 0770.03022 Jin, Renling 2 1992 Can a small forcing create Kurepa trees. Zbl 0876.03029 Jin, Renling; Shelah, Saharon 2 1997 The differences between Kurepa trees and Jech-Kunen trees. Zbl 0790.03047 Jin, Renling 2 1993 Essential Kurepa trees versus essential Jech-Kunen trees. Zbl 0810.03040 Jin, Renling; Shelah, Saharon 2 1994 Density versions of Plünnecke inequality: epsilon-delta approach. Zbl 1371.11020 Jin, Renling 2 2014 Slow \(p\)-point ultrafilters. Zbl 1443.03026 Jin, Renling 2 2020 Distinguishing three strong saturation properties in nonstandard analysis. Zbl 0933.03086 Jin, Renling 1 1999 Existence of some sparse sets of nonstandard natural numbers. Zbl 0992.03086 Jin, Renling 1 2001 Compactness of Loeb spaces. Zbl 0928.28008 Jin, Renling; Shelah, Saharon 1 1998 Detailed structure for Freiman’s \(3k - 3\) theorem. Zbl 1386.11107 Jin, Renling 1 2015 Approximate polynomial structure in additively large sets. Zbl 1403.11008 Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl 1 2016 High density piecewise syndeticity of product sets in amenable groups. Zbl 1419.11017 Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl 1 2016 Rapid interval P-points. Zbl 1485.03191 He, Jialiang; Jin, Renling; Zhang, Shuguo 1 2020 Ultrafilters across mathematics. International congress ULTRAMATH 2008: Applications of ultrafilters and ultraproducts in mathematics, Pisa, Italy, June 1–7, 2008. Zbl 1202.03009 1 2010 Slow \(p\)-point ultrafilters. Zbl 1443.03026 Jin, Renling 2 2020 Rapid interval P-points. Zbl 1485.03191 He, Jialiang; Jin, Renling; Zhang, Shuguo 1 2020 Abstract densities and ideals of sets. Zbl 1423.11027 Di Nasso, Mauro; Jin, Renling 7 2018 Approximate polynomial structure in additively large sets. Zbl 1403.11008 Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl 1 2016 High density piecewise syndeticity of product sets in amenable groups. Zbl 1419.11017 Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl 1 2016 High density piecewise syndeticity of sumsets. Zbl 1398.11029 Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl 6 2015 On a sumset conjecture of Erdős. Zbl 1365.11008 Di Nasso, Mauro; Goldbring, Isaac; Jin, Renling; Leth, Steven; Lupini, Martino; Mahlburg, Karl 6 2015 Detailed structure for Freiman’s \(3k - 3\) theorem. Zbl 1386.11107 Jin, Renling 1 2015 Density versions of Plünnecke inequality: epsilon-delta approach. Zbl 1371.11020 Jin, Renling 2 2014 An integer construction of infinitesimals: toward a theory of eudoxus hyperreals. Zbl 1266.03074 Borovik, Alexandre; Jin, Renling; Katz, Mikhail G. 7 2012 Plünnecke’s theorem for asymptotic densities. Zbl 1277.11006 Jin, Renling 6 2011 Finding integral diagonal pairs in a two dimensional \(\mathcal{N}\)-set. Zbl 1246.11061 Borisov, Lev A.; Jin, Renling 2 2011 Characterizing the structure of \(A+B\) when \(A+B\) has small upper Banach density. Zbl 1201.11016 Jin, Renling 4 2010 Ultrafilters across mathematics. International congress ULTRAMATH 2008: Applications of ultrafilters and ultraproducts in mathematics, Pisa, Italy, June 1–7, 2008. Zbl 1202.03009 1 2010 Introduction of nonstandard methods for number theorists. Zbl 1185.11011 Jin, Renling 4 2008 Freiman’s inverse problem with small doubling property. Zbl 1231.11012 Jin, Renling 10 2007 Solution to the inverse problem for upper asymptotic density. Zbl 1138.11045 Jin, Renling 7 2006 Kneser’s theorem for upper Banach density. Zbl 1138.11044 Bihani, Prerna; Jin, Renling 6 2006 Standardizing nonstandard methods for upper Banach density problems. Zbl 1098.11009 Jin, Renling 6 2004 Abelian groups with layered tiles and the sumset phenomenon. Zbl 1047.03051 Jin, Renling; Keisler, H. Jerome 7 2003 Inverse problem for upper asymptotic density. Zbl 1077.11007 Jin, Renling 4 2003 The sumset phenomenon. Zbl 0985.03066 Jin, Renling 23 2002 Nonstandard methods for upper Banach density problems. Zbl 1071.11503 Jin, Renling 13 2001 Existence of some sparse sets of nonstandard natural numbers. Zbl 0992.03086 Jin, Renling 1 2001 Maharam spectra of Loeb spaces. Zbl 0972.28009 Jin, Renling; Keisler, H. Jerome 4 2000 Applications of nonstandard analysis in additive number theory. Zbl 1071.11502 Jin, Renling 4 2000 Possible size of an ultrapower of \(\omega\). Zbl 0924.03099 Jin, Renling; Shelah, Saharon 2 1999 Distinguishing three strong saturation properties in nonstandard analysis. Zbl 0933.03086 Jin, Renling 1 1999 Compactness of Loeb spaces. Zbl 0928.28008 Jin, Renling; Shelah, Saharon 1 1998 Better nonstandard universes with applications. Zbl 0910.03041 Jin, R. 3 1997 Type two cuts, bad cuts and very bad cuts. Zbl 0897.03064 Jin, Renling 3 1997 Can a small forcing create Kurepa trees. Zbl 0876.03029 Jin, Renling; Shelah, Saharon 2 1997 The strength of the isomorphism property. Zbl 0798.03065 Jin, Renling; Shelah, Saharon 5 1994 Essential Kurepa trees versus essential Jech-Kunen trees. Zbl 0810.03040 Jin, Renling; Shelah, Saharon 2 1994 A model in which there are Jech-Kunen trees but there are no Kurepa trees. Zbl 0790.03049 Shelah, Saharon; Jin, Renling 4 1993 Game sentences and ultrapowers. Zbl 0781.03013 Jin, Renling; Keisler, H. Jerome 3 1993 The differences between Kurepa trees and Jech-Kunen trees. Zbl 0790.03047 Jin, Renling 2 1993 The isomorphism property versus the special model axiom. Zbl 0770.03025 Jin, Renling 8 1992 Planting Kurepa trees and killing Jech-Kunen trees in a model by using one inaccessible cardinal. Zbl 0809.03038 Shelah, Saharon; Jin, Renling 5 1992 A model in which every Kurepa tree is thick. Zbl 0790.03048 Jin, Renling 4 1992 A theorem on the isomorphism property. Zbl 0769.03037 Jin, Renling 4 1992 Cuts in hyperfinite time lines. Zbl 0770.03022 Jin, Renling 2 1992 Some independence results related to the Kurepa tree. Zbl 0748.03034 Jin, Renling 3 1991 all cited Publications top 5 cited Publications all top 5 Cited by 121 Authors 24 Jin, Renling 10 Di Nasso, Mauro 7 Katz, Mikhail G. 6 Goldbring, Isaac 5 Fish, Alexander 5 Kanovei, Vladimir G. 5 Leth, Steven C. 5 Shelah, Saharon 4 Björklund, Michael 4 Griesmer, John T. 4 Leonetti, Paolo 4 Lupini, Martino 3 Beiglböck, Mathias 3 Bergelson, Vitaly 3 Keisler, Howard Jerome 3 Mahlburg, Karl 3 Podczeck, Konrad 3 Reeken, Michael 2 Bulinski, Kamil 2 Conant, Gabriel 2 He, Jialiang 2 Nathanson, Melvyn Bernard 2 Poór, Márk 2 Schmerl, James H. 2 Serra, Oriol 2 Sherry, David M. 2 Spiegel, Christoph 2 Sun, Yeneng 2 Zhang, Shuguo 1 Akhtar, Reza 1 Andrews, Uri 1 Baglini, Lorenzo Luperi 1 Baláž, Vladimír 1 Balcerzak, Marek 1 Bellaouar, Djamel 1 Benci, Vieri 1 Bienvenu, Pierre-Yves 1 Bihani, Prerna 1 Bingham, Nicholas Hugh 1 Błaszczyk, Piotr 1 Boudaoud, Abdelmadjid 1 Burkhart, Ryan 1 Candela, Pablo 1 Caprio, Michele 1 Carnevale, Angela 1 Cavaleri, Matteo 1 Cerreia-Vioglio, Simone 1 Daza, David Fernando 1 Ferreira, Luan Alberto 1 Filipów, Rafał 1 Freiman, Gregory A. 1 Fuchs, Gunter 1 Furstenberg, Hillel 1 Gogola, J. 1 Goswami, Sayan 1 Grekos, Georges 1 Grynkiewicz, David J. 1 Hamidoune, Yahya Ould 1 Hammond, Peter Jackson 1 Hayut, Yair 1 He, Wei 1 Hennecart, François 1 Hindman, Neil 1 Honzik, Radek 1 Hoseana, Jonathan 1 Hrbáček, Karel 1 Huicochea, Mario 1 Karam, Nader Asadi 1 Katz, Boris 1 Katz, Karin Usadi 1 Lambie-Hanson, Chris 1 Larson, Paul B. 1 Lazarev, Oleg 1 Li, Wenwen 1 Li, Wenxia 1 Ljujić, Željka 1 Lyubetsky, Vassily Aleksandrovich 1 Maccheroni, Fabio 1 Marinacci, Massimo 1 Martos, Carlos A. 1 Miao, Junjie 1 Miller, Steven J. 1 Moreira, Joel 1 Mormann, Thomas 1 Müller, Sandra 1 O’Bryant, Kevin 1 Ostaszewski, Adam J. 1 Özer, Özen 1 Patra, Sourav Kanti 1 Richter, Florian Karl 1 Robertson, Donald 1 Ross, David A. 1 Sahleh, Abbas 1 Sanabria, Camilo 1 Sanders, Sam 1 Šaroch, Jan 1 Schaps, David M. 1 Schaps, Mary Elizabeth 1 Shnider, Steven 1 Sinapova, Dima ...and 21 more Authors all top 5 Cited in 49 Serials 10 Advances in Mathematics 8 Annals of Pure and Applied Logic 7 The Journal of Symbolic Logic 6 Israel Journal of Mathematics 6 Proceedings of the American Mathematical Society 5 Archive for Mathematical Logic 4 Journal of Number Theory 4 Transactions of the American Mathematical Society 4 Topology and its Applications 4 Foundations of Science 3 Journal de Théorie des Nombres de Bordeaux 3 The Electronic Journal of Combinatorics 3 Discrete Analysis 2 Canadian Mathematical Bulletin 2 Journal of Mathematical Economics 2 Journal für die Reine und Angewandte Mathematik 2 Ergodic Theory and Dynamical Systems 2 Mathematical Logic Quarterly (MLQ) 1 Discrete Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Historia Mathematica 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Annales Mathématiques Blaise Pascal 1 Turkish Journal of Mathematics 1 Economic Theory 1 Journal of Group Theory 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 Erkenntnis 1 Integers 1 Portugaliae Mathematica. Nova Série 1 International Journal of Number Theory 1 Frontiers of Mathematics in China 1 Logic and Analysis 1 São Paulo Journal of Mathematical Sciences 1 Perspectives on Science all top 5 Cited in 23 Fields 53 Mathematical logic and foundations (03-XX) 53 Number theory (11-XX) 19 Measure and integration (28-XX) 15 Combinatorics (05-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Real functions (26-XX) 10 Group theory and generalizations (20-XX) 7 Abstract harmonic analysis (43-XX) 7 General topology (54-XX) 6 Topological groups, Lie groups (22-XX) 5 History and biography (01-XX) 5 Sequences, series, summability (40-XX) 5 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) Citations by Year