Edit Profile (opens in new tab) Friedman, Nathaniel Abraham (b. 1938 d. 2020) Co-Author Distance Author ID: friedman.nathaniel-a Published as: Friedman, N. A.; Friedman, Nathaniel A.; Friedman, N.; Friedman, Nathaniel; Friedman, Nat more...less External Links: MGP Documents Indexed: 47 Publications since 1965, including 3 Books 1 Contribution as Editor Co-Authors: 15 Co-Authors with 27 Joint Publications 276 Co-Co-Authors all top 5 Co-Authors 18 single-authored 5 Ellis, Martin H. 4 Ornstein, Donald Samuel 3 Blum, Julius R. 2 Adams, Terrence M. 2 Chacon, Rafael V. S. 2 Fieldsteel, Adam 2 King, Jonathan L. F. 2 Koopmans, Lambert H. 2 Silva, Cesar E. 1 Gabriel, Patrick 1 Halmos, Paul Richard 1 Metzler, Richard C. 1 Sarason, Donald Erik 1 Séquin, Carlo H. 1 Thomas, Edward S. jun. 1 Tong, Alfred Esperanza all top 5 Serials 5 Israel Journal of Mathematics 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Advances in Mathematics 3 Canadian Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 3 Visual Mathematics 2 American Mathematical Monthly 2 Archive for Rational Mechanics and Analysis 2 Illinois Journal of Mathematics 2 Journal of Mathematics and the Arts 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Journal of Mathematical Analysis and Applications 1 Annales des Sciences Mathématiques du Québec 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of the London Mathematical Society 1 Springer Collected Works in Mathematics all top 5 Fields 24 Measure and integration (28-XX) 6 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 428 times in 330 Documents Cited by ▼ Year ▼ On isomorphism of weak Bernoulli transformations. Zbl 0203.05801 Friedman, N. A.; Ornstein, D. S. 112 1971 Introduction to ergodic theory. Zbl 0212.40004 Friedman, N. A. 89 1970 Additive functionals. Zbl 0138.09303 Chacon, R. V.; Friedman, N. 19 1965 A representation theorem for additive functionals. Zbl 0138.09401 Friedman, N.; Katz, Melvin 19 1966 Rank-one weak mixing for nonsingular transformations. Zbl 0896.58039 Adams, Terrence; Friedman, Nathaniel; Silva, Cesar E. 15 1997 Convergence rates for the central limit theorem. Zbl 0147.17002 Friedman, N.; Katz, Melvin; Koopmans, L. H. 15 1966 Approximation and invariant measures. Zbl 0136.12302 Chacon, R. V.; Friedman, N. 13 1965 On partially mixing transformations. Zbl 0213.07504 Friedman, N. A.; Ornstein, D. S. 12 1971 On mixing and partial mixing. Zbl 0224.28012 Friedman, N. A.; Ornstein, D. S. 12 1972 On commuting transformations and roots. Zbl 0185.29002 Blum, J. R.; Friedman, N. 12 1966 Additive functionals on \(L_ p\) spaces. Zbl 0145.38903 Friedman, N.; Katz, Melvin 9 1966 Replication and stacking in ergodic theory. Zbl 0760.28012 Friedman, Nathaniel A. 9 1992 Ergodic transformations induce mixing transformations. Zbl 0246.28011 Friedman, N. A.; Ornstein, D. S. 8 1973 Rank-one power weakly mixing non-singular transformations. Zbl 1031.37007 Adams, Terrence; Friedman, Nathaniel; Silva, Cesar E. 7 2001 On additive functionals. Zbl 0182.47903 Friedman, N. A.; Katz, Melvin 7 1969 On additive operators. Zbl 0217.45702 Friedman, N. A.; Tong, A. E. 6 1971 Mixing on sequences. Zbl 0495.28013 Friedman, Nathaniel A. 6 1983 Sweeping out on a set of integers. Zbl 0395.28011 Ellis, Martin H.; Friedman, Nathaniel A. 5 1978 Restricted orbit changes of ergodic \({\mathbb{Z}}^ d\)-actions to achieve mixing and completely positive entropy. Zbl 0614.28016 Fieldsteel, Adam; Friedman, N. A. 5 1986 An invariant for rigid rank-1 transformations. Zbl 0621.28011 Friedman, Nathaniel; Gabriel, Patrick; King, Jonathan 5 1988 Higher order sweeping out. Zbl 0546.28012 Friedman, N. A.; Thomas, E. S. 5 1985 Partial mixing flows. Zbl 0554.28018 Fieldsteel, A.; Friedman, N. A. 5 1983 Bernoulli shifts induce Bernoulli shifts. Zbl 0246.28010 Friedman, N. A. 4 1973 On mixing, entropy, and generators. Zbl 0187.07103 Friedman, N. A. 4 1969 Subset generators for nonsingular transformations. Zbl 0425.28014 Ellis, Martin H.; Friedman, Nathaniel A. 3 1979 On invariant measures for classes of transformations. Zbl 0154.30503 Blum, J. R.; Friedman, N. 3 1967 On roots of transformations. Zbl 0161.14401 Blum, J. R.; Friedman, N. 3 1966 Rank one lightly mixing. Zbl 0754.28010 Friedman, N. A.; King, J. L. 3 1991 Subsequence generators for ergodic group translations. Zbl 0404.28017 Ellis, Martin H.; Friedman, Nathaniel A. 2 1978 Higher order partial mixing. Zbl 0557.28013 Friedman, Nathaniel A. 2 1984 Partial mixing, partial rigidity, and factors. Zbl 0713.28009 Friedman, Nathaniel A. 2 1989 Gap sequences and eventually weakly wandering sequences. Zbl 0468.28017 Ellis, Martin H.; Friedman, Nathaniel A. 2 1978 Mixing transformations in an infinite measure space. Zbl 0485.28012 Friedman, Nathaniel A. 2 1978 Eventually independent sequences. Zbl 0434.28015 Friedman, Nathaniel A. 1 1979 Keizo Ushio’s sculptures, split tori and Möbius bands. Zbl 1149.00300 Friedman, N. A.; Séquin, C. H. 1 2007 On transformations with weakly wandering sets. Zbl 0192.14401 Friedman, N. 1 1966 Keizo Ushio’s sculptures, split tori and Möbius bands. Zbl 1149.00300 Friedman, N. A.; Séquin, C. H. 1 2007 Rank-one power weakly mixing non-singular transformations. Zbl 1031.37007 Adams, Terrence; Friedman, Nathaniel; Silva, Cesar E. 7 2001 Rank-one weak mixing for nonsingular transformations. Zbl 0896.58039 Adams, Terrence; Friedman, Nathaniel; Silva, Cesar E. 15 1997 Replication and stacking in ergodic theory. Zbl 0760.28012 Friedman, Nathaniel A. 9 1992 Rank one lightly mixing. Zbl 0754.28010 Friedman, N. A.; King, J. L. 3 1991 Partial mixing, partial rigidity, and factors. Zbl 0713.28009 Friedman, Nathaniel A. 2 1989 An invariant for rigid rank-1 transformations. Zbl 0621.28011 Friedman, Nathaniel; Gabriel, Patrick; King, Jonathan 5 1988 Restricted orbit changes of ergodic \({\mathbb{Z}}^ d\)-actions to achieve mixing and completely positive entropy. Zbl 0614.28016 Fieldsteel, Adam; Friedman, N. A. 5 1986 Higher order sweeping out. Zbl 0546.28012 Friedman, N. A.; Thomas, E. S. 5 1985 Higher order partial mixing. Zbl 0557.28013 Friedman, Nathaniel A. 2 1984 Mixing on sequences. Zbl 0495.28013 Friedman, Nathaniel A. 6 1983 Partial mixing flows. Zbl 0554.28018 Fieldsteel, A.; Friedman, N. A. 5 1983 Subset generators for nonsingular transformations. Zbl 0425.28014 Ellis, Martin H.; Friedman, Nathaniel A. 3 1979 Eventually independent sequences. Zbl 0434.28015 Friedman, Nathaniel A. 1 1979 Sweeping out on a set of integers. Zbl 0395.28011 Ellis, Martin H.; Friedman, Nathaniel A. 5 1978 Subsequence generators for ergodic group translations. Zbl 0404.28017 Ellis, Martin H.; Friedman, Nathaniel A. 2 1978 Gap sequences and eventually weakly wandering sequences. Zbl 0468.28017 Ellis, Martin H.; Friedman, Nathaniel A. 2 1978 Mixing transformations in an infinite measure space. Zbl 0485.28012 Friedman, Nathaniel A. 2 1978 Ergodic transformations induce mixing transformations. Zbl 0246.28011 Friedman, N. A.; Ornstein, D. S. 8 1973 Bernoulli shifts induce Bernoulli shifts. Zbl 0246.28010 Friedman, N. A. 4 1973 On mixing and partial mixing. Zbl 0224.28012 Friedman, N. A.; Ornstein, D. S. 12 1972 On isomorphism of weak Bernoulli transformations. Zbl 0203.05801 Friedman, N. A.; Ornstein, D. S. 112 1971 On partially mixing transformations. Zbl 0213.07504 Friedman, N. A.; Ornstein, D. S. 12 1971 On additive operators. Zbl 0217.45702 Friedman, N. A.; Tong, A. E. 6 1971 Introduction to ergodic theory. Zbl 0212.40004 Friedman, N. A. 89 1970 On additive functionals. Zbl 0182.47903 Friedman, N. A.; Katz, Melvin 7 1969 On mixing, entropy, and generators. Zbl 0187.07103 Friedman, N. A. 4 1969 On invariant measures for classes of transformations. Zbl 0154.30503 Blum, J. R.; Friedman, N. 3 1967 A representation theorem for additive functionals. Zbl 0138.09401 Friedman, N.; Katz, Melvin 19 1966 Convergence rates for the central limit theorem. Zbl 0147.17002 Friedman, N.; Katz, Melvin; Koopmans, L. H. 15 1966 On commuting transformations and roots. Zbl 0185.29002 Blum, J. R.; Friedman, N. 12 1966 Additive functionals on \(L_ p\) spaces. Zbl 0145.38903 Friedman, N.; Katz, Melvin 9 1966 On roots of transformations. Zbl 0161.14401 Blum, J. R.; Friedman, N. 3 1966 On transformations with weakly wandering sets. Zbl 0192.14401 Friedman, N. 1 1966 Additive functionals. Zbl 0138.09303 Chacon, R. V.; Friedman, N. 19 1965 Approximation and invariant measures. Zbl 0136.12302 Chacon, R. V.; Friedman, N. 13 1965 all cited Publications top 5 cited Publications all top 5 Cited by 349 Authors 17 Friedman, Nathaniel Abraham 10 Weiss, Benjamin 9 Ornstein, Donald Samuel 8 Silva, Cesar E. 7 Danilenko, Alexandre I. 6 Aaronson, Jon 6 Adams, Terrence M. 6 de la Rue, Thierry 6 Shields, Paul C. 5 El Abdalaoui, El Houcein 5 Janvresse, Elise 5 King, Jonathan L. F. 5 Lemańczyk, Mariusz 5 Smorodinsky, Meir 4 Bowen, Lewis Phylip 4 Bowen, Rufus 4 Hajian, Arshag B. 4 Keane, Michael S. 4 Mizel, Victor J. 4 Roy, Emmanuel 4 Ryzhikov, Valeriĭ Valentinovich 4 Saleski, Alan 4 Steif, Jeffrey E. 4 Villanueva, Ignacio 4 Walters, Peter 4 Wilkinson, Keith M. 3 Blum, Julius R. 3 Burton, Robert M. jun. 3 de Korvin, André 3 del Junco, Andres 3 Eigen, Stanley J. 3 Ellis, Martin H. 3 Gallavotti, Giovanni M. 3 Hoffman, Christopher 3 Krengel, Ulrich 3 Ledrappier, François 3 Murata, Hiroshi 3 Rao, Malempati M. 3 Robertson, James B. 3 Rosenblatt, Joseph Max 3 Rudolph, Daniel J. 3 Thouvenot, Jean-Paul 3 Totoki, Haruo 2 Alò, Richard A. 2 Aoki, Nobuo 2 Binkowska, Maria 2 Bose, Christopher J. 2 Bradley, Richard C. jun. 2 Chacon, Rafael V. S. 2 Conze, Jean-Pierre 2 David, Karl 2 Eigen, S. 2 Fang, Junsheng 2 Feldman, Jacob 2 Fieldsteel, Adam 2 Fischer, Roland 2 Galaktionov, Victor Aleksandrovich 2 Gao, Su 2 Gross, Aaron 2 Hajian, Alireza 2 Heyde, Christopher Charles 2 Huang, Zaixing 2 Ito, Yuji 2 Jones, Lee Kenneth 2 Kerr, David 2 Knill, Oliver 2 Komornik, Jozef 2 Komornikova, Magda 2 Kosloff, Zemer 2 Kraaikamp, Cor 2 Kubo, Izumi 2 Kułaga-Przymus, Joanna 2 Kupsa, Michal 2 Le Maître, François 2 Levin, Mordekhaĭ Borisovich 2 Li, Hanfeng 2 Loh, Isaac 2 Michel, Horst 2 Nadkarni, Mahendra G. 2 Nobel, Andrew B. 2 Pădurariu, Tudor 2 Rejzner, Katarzyna 2 Robinson, E. Arthur jun. 2 Russo, Lucio 2 Schwartzbauer, T. 2 Schwarz, Gideon E. 2 Tan, Zhongquan 2 Tradacete Pérez, Pedro 2 Tuncel, Selim 2 Ziegler, Caleb 1 Abasov, Nariman Magamedovich 1 Adler, Roy Lee 1 Akcoglu, Mustafa A. 1 Alpern, Steve 1 Alsmeyer, Gerold 1 Arbieto, Alexander 1 Arendt, Wolfgang 1 Arnoux, Pierre 1 Athiwaratkun, Ben 1 Austin, Tim D. ...and 249 more Authors all top 5 Cited in 98 Serials 50 Israel Journal of Mathematics 22 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 21 Ergodic Theory and Dynamical Systems 17 Advances in Mathematics 16 Journal of Mathematical Analysis and Applications 15 Transactions of the American Mathematical Society 14 Proceedings of the American Mathematical Society 10 Communications in Mathematical Physics 9 Mathematische Zeitschrift 7 Journal d’Analyse Mathématique 7 Bulletin of the American Mathematical Society 6 Journal of Functional Analysis 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Mathematical Systems Theory 5 Monatshefte für Mathematik 4 The Annals of Probability 4 Stochastic Processes and their Applications 3 Archive for Rational Mechanics and Analysis 3 Nonlinearity 3 Mathematica Slovaca 3 Statistics & Probability Letters 3 Aequationes Mathematicae 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Compositio Mathematica 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Tôhoku Mathematical Journal. Second Series 2 Topology and its Applications 2 Applied Mathematics and Mechanics. (English Edition) 2 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications 2 Journal of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 The New York Journal of Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of Inequalities and Applications 2 Journal of Dynamical and Control Systems 2 Journal of Modern Dynamics 1 Acta Mechanica 1 American Mathematical Monthly 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Biosciences 1 Mathematische Semesterberichte 1 Metrika 1 Stochastics 1 Studia Mathematica 1 Theory of Probability and its Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 Functional Analysis and its Applications 1 Fundamenta Mathematicae 1 Fuzzy Sets and Systems 1 Journal of Applied Probability 1 Journal of Mathematical Economics 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Acta Mathematica Hungarica 1 Chinese Journal of Applied Probability and Statistics 1 Journal of Complexity 1 Journal of Theoretical Probability 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Probability 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Dynamical Systems 1 Stochastics and Dynamics 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Journal of Mathematics and the Arts 1 Groups, Geometry, and Dynamics 1 Confluentes Mathematici 1 Science China. Mathematics 1 Transactions of the London Mathematical Society 1 Concrete Operators 1 Applied Mathematics and Nonlinear Sciences 1 Proceedings of the American Mathematical Society. Series B 1 Advances in Operator Theory 1 Annales Henri Lebesgue all top 5 Cited in 38 Fields 175 Measure and integration (28-XX) 107 Dynamical systems and ergodic theory (37-XX) 70 Probability theory and stochastic processes (60-XX) 24 Functional analysis (46-XX) 24 Operator theory (47-XX) 19 General topology (54-XX) 17 Topological groups, Lie groups (22-XX) 13 Number theory (11-XX) 9 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 5 Real functions (26-XX) 5 Quantum theory (81-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Mathematical logic and foundations (03-XX) 4 Group theory and generalizations (20-XX) 4 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year