Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wright, James On a multi-parameter variant of the Bellow-Furstenberg problem. (English) Zbl 07772479 Forum Math. Pi 11, Paper No. e23, 64 p. (2023). Reviewer: Thomas B. Ward (Durham) MSC: 37A30 37A46 42A45 42B25 11L03 11L07 11L15 11P55 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Forum Math. Pi 11, Paper No. e23, 64 p. (2023; Zbl 07772479) Full Text: DOI arXiv OA License
Conze, Jean-Pierre Recurrent sets for ergodic sums of an integer valued function. (English) Zbl 1485.37006 Pollicott, Mark (ed.) et al., Thermodynamic formalism. CIRM Jean-Morlet chair, fall 2019. Cham: Springer. Lect. Notes Math. 2290, 143-175 (2021). MSC: 37A30 37A05 PDFBibTeX XMLCite \textit{J.-P. Conze}, Lect. Notes Math. 2290, 143--175 (2021; Zbl 1485.37006) Full Text: DOI
Eisner, Tanja Nilsystems and ergodic averages along primes. (English) Zbl 1452.37005 Ergodic Theory Dyn. Syst. 40, No. 10, 2769-2777 (2020). Reviewer: George Stoica (Saint John) MSC: 37A30 37A44 11B30 PDFBibTeX XMLCite \textit{T. Eisner}, Ergodic Theory Dyn. Syst. 40, No. 10, 2769--2777 (2020; Zbl 1452.37005) Full Text: DOI arXiv
Mirek, Mariusz; Stein, Elias M.; Trojan, Bartosz \(\ell^p(\mathbb{Z}^d)\)-estimates for discrete operators of Radon type: maximal functions and vector-valued estimates. (English) Zbl 1444.42026 J. Funct. Anal. 277, No. 8, 2471-2521 (2019). Reviewer: Javier Soria (Madrid) MSC: 42B25 42B15 11L03 PDFBibTeX XMLCite \textit{M. Mirek} et al., J. Funct. Anal. 277, No. 8, 2471--2521 (2019; Zbl 1444.42026) Full Text: DOI arXiv
Carro, María J.; Lorente, María; Martín-Reyes, Francisco J. A counting problem in ergodic theory and extrapolation for one-sided weights. (English) Zbl 1402.37008 J. Anal. Math. 134, No. 1, 237-254 (2018). Reviewer: Bolis Basit (Clayton) MSC: 37A30 46E30 PDFBibTeX XMLCite \textit{M. J. Carro} et al., J. Anal. Math. 134, No. 1, 237--254 (2018; Zbl 1402.37008) Full Text: DOI
Mirek, Mariusz; Stein, Elias M.; Trojan, Bartosz \(\ell ^p\left(\mathbb {Z}^d\right)\)-estimates for discrete operators of Radon type: variational estimates. (English) Zbl 1397.42006 Invent. Math. 209, No. 3, 665-748 (2017). Reviewer: Javier Soria (Barcelona) MSC: 42B20 44A12 39A12 28D05 PDFBibTeX XMLCite \textit{M. Mirek} et al., Invent. Math. 209, No. 3, 665--748 (2017; Zbl 1397.42006) Full Text: DOI arXiv
Assani, Idris; Presser, Kimberly A survey of the return times theorem. (English) Zbl 1296.37003 Assani, Idris (ed.), 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. Berlin: de Gruyter (ISBN 978-3-11-029813-0/hbk; 978-3-11-029820-8/ebook). De Gruyter Proceedings in Mathematics, 19-58 (2014). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37A05 37A30 37A45 37A50 37B20 PDFBibTeX XMLCite \textit{I. Assani} and \textit{K. Presser}, in: 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. Berlin: de Gruyter. 19--58 (2014; Zbl 1296.37003) Full Text: arXiv
Lavictoire, Patrick Universally \(L^1\)-bad arithmetic sequences. (English) Zbl 1220.37005 J. Anal. Math. 113, 241-263 (2011). Reviewer: Christoph Aistleitner (Graz) MSC: 37A30 11B83 40A30 PDFBibTeX XMLCite \textit{P. Lavictoire}, J. Anal. Math. 113, 241--263 (2011; Zbl 1220.37005) Full Text: DOI arXiv
Buczolich, Zoltán; Mauldin, R. Daniel Divergent square averages. (English) Zbl 1200.37003 Ann. Math. (2) 171, No. 3, 1479-1530 (2010). Reviewer: Thomas B. Ward (Norwich) MSC: 37A05 11N25 PDFBibTeX XMLCite \textit{Z. Buczolich} and \textit{R. D. Mauldin}, Ann. Math. (2) 171, No. 3, 1479--1530 (2010; Zbl 1200.37003) Full Text: DOI arXiv Link
Cuny, C. On randomly weighted one-sided ergodic Hilbert transforms. (English) Zbl 1128.47012 Ergodic Theory Dyn. Syst. 25, No. 1, 89-99 (2005); addendum ibid. 25, No. 1, 101-106 (2005). Reviewer: Doǧan Çömez (Fargo) MSC: 47A35 28D05 37A30 60F15 PDFBibTeX XMLCite \textit{C. Cuny}, Ergodic Theory Dyn. Syst. 25, No. 1, 89--99 (2005; Zbl 1128.47012) Full Text: DOI
Demeter, Ciprian; Quas, Anthony Weak-\(L^1\) estimates and ergodic theorems. (English) Zbl 1077.37008 New York J. Math. 10, 169-174 (2004). Reviewer: Doǧan Çömez (Fargo) MSC: 37A30 28D05 47A35 37A50 PDFBibTeX XMLCite \textit{C. Demeter} and \textit{A. Quas}, New York J. Math. 10, 169--174 (2004; Zbl 1077.37008) Full Text: EuDML EMIS
Lindenstrauss, Elon Pointwise theorems for amenable groups. (English) Zbl 1038.37004 Invent. Math. 146, No. 2, 259-295 (2001). MSC: 37A15 37A30 28D15 PDFBibTeX XMLCite \textit{E. Lindenstrauss}, Invent. Math. 146, No. 2, 259--295 (2001; Zbl 1038.37004) Full Text: DOI
Rudolph, Daniel J. Fully generic sequences and a multiple-term return-times theorem. (English) Zbl 0910.28013 Invent. Math. 131, No. 1, 199-228 (1998). Reviewer: Geoffrey R.Goodson (Towson) MSC: 28D05 PDFBibTeX XMLCite \textit{D. J. Rudolph}, Invent. Math. 131, No. 1, 199--228 (1998; Zbl 0910.28013) Full Text: DOI
Lacey, Michael T. The return time theorem fails on infinite measure-preserving systems. (English) Zbl 0894.60001 Ann. Inst. Henri Poincaré, Probab. Stat. 33, No. 4, 491-495 (1997). MSC: 60A10 28D05 PDFBibTeX XMLCite \textit{M. T. Lacey}, Ann. Inst. Henri Poincaré, Probab. Stat. 33, No. 4, 491--495 (1997; Zbl 0894.60001) Full Text: DOI Numdam EuDML
Lacey, Michael On an inequality due to Bourgain. (English) Zbl 0881.42012 Ill. J. Math. 41, No. 2, 231-236 (1997). Reviewer: M.Milman (Boca Raton) MSC: 42B25 28D05 PDFBibTeX XMLCite \textit{M. Lacey}, Ill. J. Math. 41, No. 2, 231--236 (1997; Zbl 0881.42012)
Furstenberg, Hillel; Weiss, Benjamin A mean ergodic theorem for \({1\over N} \sum^ N_{n=1} f(T^ n x)g (T^{n^ 2} x)\). (English) Zbl 0869.28010 Bergelson, V. (ed.) et al., Convergence in ergodic theory and probability. Papers from the conference, Ohio State University, Columbus, OH, USA, June 23–26, 1993. Berlin: de Gruyter. Ohio State Univ. Math. Res. Inst. Publ. 5, 193-227 (1996). Reviewer: G.R.Goodson (Towson) MSC: 28D05 PDFBibTeX XMLCite \textit{H. Furstenberg} and \textit{B. Weiss}, Ohio State Univ. Math. Res. Inst. Publ. 5, 193--227 (1996; Zbl 0869.28010)
Rudolph, Daniel J. Eigenfunctions of \(T\times S\) and the Conze-Lesigne algebra. (English) Zbl 0877.28012 Petersen, Karl E. (ed.) et al., Ergodic theory and its connections with harmonic analysis. Proceedings of the 1993 Alexandria conference, Alexandria, Egypt, May 24-28, 1993. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 205, 369-432 (1995). Reviewer: G.R.Goodson (Towson) MSC: 28D05 PDFBibTeX XMLCite \textit{D. J. Rudolph}, Lond. Math. Soc. Lect. Note Ser. 205, 369--432 (1995; Zbl 0877.28012)
Olsen, James H. Calculation of the limit in the return times theorem for Dunford-Schwartz operators. (English) Zbl 0839.47006 Petersen, Karl E. (ed.) et al., Ergodic theory and its connections with harmonic analysis. Proceedings of the 1993 Alexandria conference, Alexandria, Egypt, May 24-28, 1993. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 205, 359-367 (1995). MSC: 47A35 47B38 28D05 PDFBibTeX XMLCite \textit{J. H. Olsen}, Lond. Math. Soc. Lect. Note Ser. 205, 359--367 (1995; Zbl 0839.47006)
Assani, I. The return times and the Wiener-Wintner property for mean-bounded positive operators in \(L^ p\). (English) Zbl 0761.28009 Ergodic Theory Dyn. Syst. 12, No. 1, 1-12 (1992). Reviewer: I.Assani (Chapel Hill) MSC: 28D05 47A35 28D10 PDFBibTeX XMLCite \textit{I. Assani}, Ergodic Theory Dyn. Syst. 12, No. 1, 1--12 (1992; Zbl 0761.28009) Full Text: DOI
Nair, R. On polynomials in primes and J. Bourgain’s circle method approach to ergodic theorems. (English) Zbl 0751.28008 Ergodic Theory Dyn. Syst. 11, No. 3, 485-499 (1991). Reviewer: H.Rindler (Wien) MSC: 28D05 47A35 11L20 PDFBibTeX XMLCite \textit{R. Nair}, Ergodic Theory Dyn. Syst. 11, No. 3, 485--499 (1991; Zbl 0751.28008) Full Text: DOI
Thouvenot, Jean-Paul On the almost-sure convergence of ergodic means following certain subsequences of the integers [after Jean Bourgain ]. (La convergence presque sûre des moyennes ergodiques suivant certaines sous-suites d’entiers [d’après Jean Bourgain].) (French) Zbl 0737.28007 Sémin. Bourbaki, Vol. 1989/90, 42ème année, Astérisque 189-190, Exp. No. 719, 133-153 (1990). Reviewer: P.Liardet (Marseille) MSC: 28D05 11K31 PDFBibTeX XMLCite \textit{J.-P. Thouvenot}, in: The Jones-Witten invariants of knots. . 133--153 (1990; Zbl 0737.28007) Full Text: Numdam EuDML