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## Assani, Idris

Compute Distance To:
 Author ID: assani.idris Published as: Assani, I.; Assani, Idris
 Documents Indexed: 64 Publications since 1982, including 7 Books Reviewing Activity: 27 Reviews
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#### Co-Authors

 44 single-authored 5 Buczolich, Zoltán 3 Moore, Ryo 2 Mauldin, Richard Daniel 2 Mesiar, Radko 2 Petersen, Karl E. 2 Presser, Kimberly J. 1 Courbage, Maurice 1 Duncan, David L. 1 Klei, Heinz-Albrecht 1 Lesigne, Emmanuel 1 Lin, Michael 1 Nicolaou, K. 1 Rudolph, Daniel J. 1 White, Homes 1 Woś, Janusz
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#### Serials

 10 Ergodic Theory and Dynamical Systems 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Proceedings of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Contemporary Mathematics 2 Illinois Journal of Mathematics 2 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications 1 Acta Universitatis Carolinae. Mathematica et Physica 1 Letters in Mathematical Physics 1 Studia Mathematica 1 Advances in Mathematics 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Mathematica Scandinavica 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 The New York Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 De Gruyter Proceedings in Mathematics
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#### Fields

 33 Dynamical systems and ergodic theory (37-XX) 29 Measure and integration (28-XX) 26 Operator theory (47-XX) 13 Functional analysis (46-XX) 11 Probability theory and stochastic processes (60-XX) 5 General and overarching topics; collections (00-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 General topology (54-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

46 Publications have been cited 179 times in 99 Documents Cited by Year
Wiener Wintner ergodic theorems. Zbl 1041.37004
Assani, Idris
2003
Multiple recurrence and almost sure convergence for weakly mixing dynamical systems. Zbl 0920.28011
Assani, I.
1998
Pointwise convergence of ergodic averages along cubes. Zbl 1193.37005
Assani, I.
2010
An $$L^1$$ counting problem in ergodic theory. Zbl 1110.28013
Assani, Idris; Buczolich, Zoltán; Mauldin, R. Daniel
2005
Pointwise characteristic factors for Wiener-Wintner double recurrence theorem. Zbl 1353.37006
Assani, Idris; Duncan, David; Moore, Ryo
2016
Pointwise characteristic factors for the multiterm return times theorem. Zbl 1266.37004
Assani, Idris; Presser, Kimberly
2012
On the one-sided ergodic Hilbert transform. Zbl 1134.47007
Assani, Idris; Lin, Michael
2007
Parties decomposables compactes de $$L^1E$$. Zbl 0489.46028
Assani, Idris; Klei, Heinz-Albrecht
1982
Convergence of the $$p$$-series for stationary sequences. Zbl 0915.28009
Assani, I.
1997
Sur les opérateurs à puissances bornées et le théorème ergodique pontuel dans $$L^ p[0,1]$$, $$1<p<+\infty$$. (On power bounded operators and the pointwise ergodic theorem in $$L^ p[0,1]$$, $$1<p<+\infty)$$. Zbl 0611.47006
Assani, I.
1986
A survey of the return times theorem. Zbl 1296.37003
Assani, Idris; Presser, Kimberly
2014
Wiener-Wintner dynamical systems. Zbl 1128.37300
Assani, I.
2003
Multiple return times theorems for weakly mixing systems. Zbl 0985.37004
Assani, I.
2000
A weighted pointwise ergodic theorem. Zbl 0902.28011
Assani, I.
1998
Strong laws for weighted sums of independent identically distributed random variables. Zbl 0883.60023
Assani, I.
1997
Extension of Wiener-Wintner double recurrence theorem to polynomials. Zbl 1400.37007
Assani, Idris; Moore, Ryo
2018
A good universal weight for nonconventional ergodic averages in norm. Zbl 1366.37010
Assani, Idris; Moore, Ryo
2017
Averages along cubes for not necessarily commuting m.p.t. Zbl 1122.37002
Assani, I.
2007
Pointwise convergence of nonconventional averages. Zbl 1077.37001
Assani, I.
2005
Counting and convergence in ergodic theory. Zbl 1067.37001
Assani, Idris; Buczolich, Zoltán; Mauldin, R. Daniel
2004
Wiener-Wintner return-times ergodic theorem. Zbl 0843.28007
Assani, I.; Lesigne, E.; Rudolph, D.
1995
Sur la convergence ponctuelle de quelques suites d’opérateurs. (On pointwise convergence of some sequences of operators). Zbl 0634.47007
Assani, I.
1987
A maximal inequality for the tail of the bilinear Hardy-Littlewood function. Zbl 1183.37004
Assani, I.; Buczolich, Z.
2009
Duality and the one-sided ergodic Hilbert transform. Zbl 1061.60025
Assani, I.
2004
The Wiener-Wintner property for the helical transform of the shift on $$[0,1]^ \mathbb{Z}$$. Zbl 0784.58036
Assani, I.
1992
The return times and the Wiener-Wintner property for mean-bounded positive operators in $$L^ p$$. Zbl 0761.28009
Assani, I.
1992
Some connections between ergodic theory and harmonic analysis. Zbl 0752.28006
Assani, Idris; Petersen, Karl; White, Homes
1991
Alternating procedures in uniformly smooth Banach spaces. Zbl 0691.47010
Assani, I.
1988
On the punctual and local ergodic theorem for nonpositive power bounded operators in $$L^ p_{{\mathbb{C}}}[0,1]$$, $$1<p<+\infty$$. Zbl 0593.47008
Assani, I.
1986
Quelques résultats sur les opérateurs positifs à moyennes bornées dans $$L_ p$$. Zbl 0558.60033
Assani, Idris
1985
Ergodic theory and dynamical systems. Proceedings of the ergodic theory workshops at University of North Carolina at Chapel Hill, NC, USA, March 17–21, 2011 and March 22–25, 2012. Zbl 1279.37002
Assani, Idris (ed.)
2014
The $$(L^1,L^1)$$ bilinear Hardy-Littlewood function and Furstenberg averages. Zbl 1213.37006
Assani, Idris; Buczolich, Zoltán
2010
Some open problems. Zbl 1183.37015
Assani, Idris
2009
Spectral characterization of Wiener-Wintner dynamical systems. Zbl 1070.37001
Assani, I.
2004
Properties of Wiener-Wintner dynamical systems. Zbl 0994.37004
Assani, I.; Nicolaou, K.
2001
Spectral characterization of Wiener-Wintner dynamical systems. Zbl 0983.37006
Assani, Idris
2001
A note on the equation $$Y=(I-T)X$$ in $$L^1$$. Zbl 0936.28012
Assani, I.
1999
Corrections to “A Wiener-Wintner property for the helical transform”. Zbl 0957.37002
Assani, I.
1998
The helical transform and the a.e. convergence of Fourier series. Zbl 0798.28009
Assani, I.
1993
A Wiener-Wintner property for the helical transform. Zbl 0767.58028
Assani, I.
1992
The helical transform as a connection between ergodic theory and harmonic analysis. Zbl 0768.47001
Assani, Idris; Petersen, Karl
1992
Universal weights from dynamical systems to mean-bounded positive operators on $$L^ p$$. Zbl 0753.47002
Assani, Idris
1991
An equivalent for some nonsingular transformations and application. Zbl 0718.28006
Assani, I.; Woś, J.
1990
Rota’s alternating procedure with non-positive operators. Zbl 0698.47006
Assani, I.
1989
Sur la convergence ponctuelle de $$T^ nf/n^{\alpha}$$, dans $$L^ p$$. Zbl 0567.47024
1985
Quelques résultats lies aux ensembles decomposables de $$L^1E$$. Zbl 0489.46029
Assani, Idris
1982
Extension of Wiener-Wintner double recurrence theorem to polynomials. Zbl 1400.37007
Assani, Idris; Moore, Ryo
2018
A good universal weight for nonconventional ergodic averages in norm. Zbl 1366.37010
Assani, Idris; Moore, Ryo
2017
Pointwise characteristic factors for Wiener-Wintner double recurrence theorem. Zbl 1353.37006
Assani, Idris; Duncan, David; Moore, Ryo
2016
A survey of the return times theorem. Zbl 1296.37003
Assani, Idris; Presser, Kimberly
2014
Ergodic theory and dynamical systems. Proceedings of the ergodic theory workshops at University of North Carolina at Chapel Hill, NC, USA, March 17–21, 2011 and March 22–25, 2012. Zbl 1279.37002
Assani, Idris (ed.)
2014
Pointwise characteristic factors for the multiterm return times theorem. Zbl 1266.37004
Assani, Idris; Presser, Kimberly
2012
Pointwise convergence of ergodic averages along cubes. Zbl 1193.37005
Assani, I.
2010
The $$(L^1,L^1)$$ bilinear Hardy-Littlewood function and Furstenberg averages. Zbl 1213.37006
Assani, Idris; Buczolich, Zoltán
2010
A maximal inequality for the tail of the bilinear Hardy-Littlewood function. Zbl 1183.37004
Assani, I.; Buczolich, Z.
2009
Some open problems. Zbl 1183.37015
Assani, Idris
2009
On the one-sided ergodic Hilbert transform. Zbl 1134.47007
Assani, Idris; Lin, Michael
2007
Averages along cubes for not necessarily commuting m.p.t. Zbl 1122.37002
Assani, I.
2007
An $$L^1$$ counting problem in ergodic theory. Zbl 1110.28013
Assani, Idris; Buczolich, Zoltán; Mauldin, R. Daniel
2005
Pointwise convergence of nonconventional averages. Zbl 1077.37001
Assani, I.
2005
Counting and convergence in ergodic theory. Zbl 1067.37001
Assani, Idris; Buczolich, Zoltán; Mauldin, R. Daniel
2004
Duality and the one-sided ergodic Hilbert transform. Zbl 1061.60025
Assani, I.
2004
Spectral characterization of Wiener-Wintner dynamical systems. Zbl 1070.37001
Assani, I.
2004
Wiener Wintner ergodic theorems. Zbl 1041.37004
Assani, Idris
2003
Wiener-Wintner dynamical systems. Zbl 1128.37300
Assani, I.
2003
Properties of Wiener-Wintner dynamical systems. Zbl 0994.37004
Assani, I.; Nicolaou, K.
2001
Spectral characterization of Wiener-Wintner dynamical systems. Zbl 0983.37006
Assani, Idris
2001
Multiple return times theorems for weakly mixing systems. Zbl 0985.37004
Assani, I.
2000
A note on the equation $$Y=(I-T)X$$ in $$L^1$$. Zbl 0936.28012
Assani, I.
1999
Multiple recurrence and almost sure convergence for weakly mixing dynamical systems. Zbl 0920.28011
Assani, I.
1998
A weighted pointwise ergodic theorem. Zbl 0902.28011
Assani, I.
1998
Corrections to “A Wiener-Wintner property for the helical transform”. Zbl 0957.37002
Assani, I.
1998
Convergence of the $$p$$-series for stationary sequences. Zbl 0915.28009
Assani, I.
1997
Strong laws for weighted sums of independent identically distributed random variables. Zbl 0883.60023
Assani, I.
1997
Wiener-Wintner return-times ergodic theorem. Zbl 0843.28007
Assani, I.; Lesigne, E.; Rudolph, D.
1995
The helical transform and the a.e. convergence of Fourier series. Zbl 0798.28009
Assani, I.
1993
The Wiener-Wintner property for the helical transform of the shift on $$[0,1]^ \mathbb{Z}$$. Zbl 0784.58036
Assani, I.
1992
The return times and the Wiener-Wintner property for mean-bounded positive operators in $$L^ p$$. Zbl 0761.28009
Assani, I.
1992
A Wiener-Wintner property for the helical transform. Zbl 0767.58028
Assani, I.
1992
The helical transform as a connection between ergodic theory and harmonic analysis. Zbl 0768.47001
Assani, Idris; Petersen, Karl
1992
Some connections between ergodic theory and harmonic analysis. Zbl 0752.28006
Assani, Idris; Petersen, Karl; White, Homes
1991
Universal weights from dynamical systems to mean-bounded positive operators on $$L^ p$$. Zbl 0753.47002
Assani, Idris
1991
An equivalent for some nonsingular transformations and application. Zbl 0718.28006
Assani, I.; Woś, J.
1990
Rota’s alternating procedure with non-positive operators. Zbl 0698.47006
Assani, I.
1989
Alternating procedures in uniformly smooth Banach spaces. Zbl 0691.47010
Assani, I.
1988
Sur la convergence ponctuelle de quelques suites d’opérateurs. (On pointwise convergence of some sequences of operators). Zbl 0634.47007
Assani, I.
1987
Sur les opérateurs à puissances bornées et le théorème ergodique pontuel dans $$L^ p[0,1]$$, $$1<p<+\infty$$. (On power bounded operators and the pointwise ergodic theorem in $$L^ p[0,1]$$, $$1<p<+\infty)$$. Zbl 0611.47006
Assani, I.
1986
On the punctual and local ergodic theorem for nonpositive power bounded operators in $$L^ p_{{\mathbb{C}}}[0,1]$$, $$1<p<+\infty$$. Zbl 0593.47008
Assani, I.
1986
Quelques résultats sur les opérateurs positifs à moyennes bornées dans $$L_ p$$. Zbl 0558.60033
Assani, Idris
1985
Sur la convergence ponctuelle de $$T^ nf/n^{\alpha}$$, dans $$L^ p$$. Zbl 0567.47024
1985
Parties decomposables compactes de $$L^1E$$. Zbl 0489.46028
Assani, Idris; Klei, Heinz-Albrecht
1982
Quelques résultats lies aux ensembles decomposables de $$L^1E$$. Zbl 0489.46029
Assani, Idris
1982
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#### Cited by 109 Authors

 15 Assani, Idris 6 Buczolich, Zoltán 6 Cohen, Guy 6 Eisner, Tanja 6 Lin, Michael 5 Carro, María Jesús 4 Cuny, Christophe 4 Frantzikinakis, Nikos 4 Sun, Wenbo 3 Demeter, Ciprian 3 Donoso, Sebastián 3 Fan, Ai Hua 3 Kifer, Yuri 3 Moore, Ryo 2 Domingo-Salazar, Carlos 2 El Abdalaoui, El Houcein 2 El Harami, Mohamed 2 Gaposhkin, Vladimir Fedorovich 2 Huang, Wen 2 Lacey, Michael T. 2 Mauldin, Richard Daniel 2 Müller, Vladimír 2 Podvigin, Ivan Viktorovich 2 Rudolph, Daniel J. 2 Shao, Song 2 Tao, Terence 2 Tempel’man, Arkadĭ Aleksandrovich 2 Thiele, Christoph Martin 2 Ye, Xiangdong 2 Zorin-Kranich, Pavel 1 Akhiat, Fattah 1 Amrani, Allal 1 Bárcenas, Diómedes 1 Bartoszek, Wojciech 1 Ben-Artzi, Jonathan 1 Bergelson, Vitaly 1 Berkes, István 1 Bermúdez, Teresa 1 Bertazzon, Jean-Francois 1 Björklund, Michael 1 Bonilla, Antonio 1 Borisovich, Yuriĭ Grigor’evich 1 Burgin, Mark 1 Castaing, Charles 1 Chevallier, Nicolas 1 Choukairi-Dini, Ahmed 1 Chu, Qing 1 Çömez, Doḡan 1 Conze, Jean-Pierre 1 Derriennic, Yves 1 Duman, Oktay 1 Duncan, David L. 1 Ezzaki, Fatima 1 Farkas, Bálint 1 Gel’man, Boris Danielovich 1 Gomilko, Alexandre M. 1 Grafakos, Loukas 1 Gutman, Yonatan 1 Haase, Markus 1 Hess, Christian 1 Hong, Guixiang 1 Hörmann, Siegfried 1 Host, Bernard 1 Isola, Stefano 1 Jones, Roger L. 1 Kachurovskii, Aleksander G. 1 Keszthelyi, Gabriella 1 Konieczny, Jakub 1 Koutsogiannis, Andreas 1 Krause, Ben 1 Leibman, Alexander 1 Lenz, Daniel H. 1 Lesigne, Emmanuel 1 Levnajić, Zoran 1 Litvinov, Semyon N. 1 Lorente, María 1 Luthy, Peter M. 1 Martín-Reyes, Francisco Javier 1 Mesiar, Radko 1 Mezić, Igor 1 Milman, Mario Marcos 1 Moreira, Carlos Gustavo Tamm de Araujo 1 Morisse, Baptiste 1 Myshkis, Anatoliĭ Dmitrievich 1 Obukhovskiĭ, Valeriĭ Vladimirovich 1 Olsen, James H. 1 Peris, Alfredo 1 Presser, Kimberly J. 1 Rao, Malempati M. 1 Rosenblatt, Joseph Max 1 Rühr, Rene 1 Sato, Ryotaro 1 Schmeling, Jorg 1 Schnurr, Mike 1 Schreiber, Marco 1 Shi, Ronggang 1 Shulman, Alexander 1 Soria, Javier 1 Śpiewak, Adam 1 Sun, Mu ...and 9 more Authors
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#### Cited in 44 Serials

 18 Ergodic Theory and Dynamical Systems 8 Israel Journal of Mathematics 7 Journal of Mathematical Analysis and Applications 6 Journal d’Analyse Mathématique 5 Proceedings of the American Mathematical Society 4 Journal of Functional Analysis 4 Transactions of the American Mathematical Society 3 Advances in Mathematics 3 Illinois Journal of Mathematics 2 Mathematical Notes 2 Chaos, Solitons and Fractals 2 Journal of the Korean Mathematical Society 2 Journal of Multivariate Analysis 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Discrete and Continuous Dynamical Systems 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Arkiv för Matematik 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of Soviet Mathematics 1 Semigroup Forum 1 Transactions of the Moscow Mathematical Society 1 Acta Mathematica Hungarica 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications 1 Probability Theory and Related Fields 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Stochastic Processes and their Applications 1 Abstract and Applied Analysis 1 Positivity 1 Chaos 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Journal of Statistical Theory and Practice 1 Communications in Mathematics and Statistics 1 Bulletin of the Hellenic Mathematical Society
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#### Cited in 21 Fields

 62 Dynamical systems and ergodic theory (37-XX) 31 Operator theory (47-XX) 30 Measure and integration (28-XX) 16 Probability theory and stochastic processes (60-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 11 Functional analysis (46-XX) 7 Number theory (11-XX) 5 Abstract harmonic analysis (43-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Sequences, series, summability (40-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX)