Eli Glasner (home page)

Eli Glasner

Department of mathematics

Tel-Aviv University

glasner@math.tau.ac.il

I.          1. Errata / Addenda to Ergodic theory via joinings. (Mathematical Surveys and Monographs, 101. American Mathematical Society, 2003)
             2. Chapter 15, Section 2 revised.
3. Errata; January 2011.

II. Some older works:

1. Rigidity in topological dynamics (With D. Maon, Ergodic Theory Dyn. Syst. 9 (1989), 309-320)

2. Sensitive dependence on initial conditions (revised) (with B. Weiss, Nonlinearity 6 (1993), 1067-1075)

3. Quasi-factors of zero entropy systems (with B. Weiss, J. of the Amer. Math. Soc. 8 (1995), 665-686)

4. On minimal actions of Polish groups (revised) (Topology and its applications, 85 (1998), 119-125)

            5. Quasifactors of minimal systems    (Topol. Methods Nonlinear Anal. 16 (2000), 351-370)

            6. Locally equicontinuous dynamical systems (revised) (with B. Weiss,  Colloq. Math. 84/85 (2000), part 2, 345-361)

7. The topological Rohlin property and topological entropy (with B. Weiss, Amer. J. of Math 123 (2001), 1055-1070

            8. Minimal actions of the group S(Z) of permutations of the integers    (with B. Weiss, Geom. Funct. Anal. 12 (2002), 964-988)

           9. The universal minimal system for the group of homeomorphisms of the Cantor set    (with B. Weiss, Fund. Math. 176 (2003), 277-289)

           10. Quasifactors of ergodic systems with positive entropy    (with B. Weiss,  Isr. J. Math. 134 (2003), 363-380)

           11. Classifying dynamical systems by their recurrence properties    (Topol. Methods Nonlinear Anal. 24 (2004), 21-40)

           12. On the interplay between measurable and topological dynamics    (with B. Weiss, Handbook of Dynamical Systems ,Vol. 1B, Elsevier, 2005, pp 597-648)

        13. Topological weak mixing and quasi-Bohr systems    (Isr. J. Math. 148 (2005), 277-304)

          14. The automorphism group of the Gaussian measure cannot act pointwise    (with B. Weiss and B. Tsirelson, Isr. J. Math. 148 (2005), 305-329

          15. Spatial and non-spatial actions of Polish groups    (with B. Weiss, Ergodic Theory Dyn. Syst. 25 (2005), 1521-1538)

  16. Every countable group has the weak Rohlin property (with J.-P. Thouvenot and B. Weiss, Bull. of the London Math. Soc. 38 (2006), 932-936)

          17. H ereditarily non-sensitive dynamical systems and linear representations    (with M. Megrelishvili, Colloq. Math. 104 (2006), 223-283)

          18. On tame enveloping semigroups    (Colloq. Math. 105 (2006), 283-295)

          19. The structure of tame minimal dynamical systems    (Ergodic Theory Dyn. Syst. 27 (2007), 1819-1837, arXiv: math.GM/0609503)

   20. On recurrence in zero dimensional flows (with J. Auslander and B. Weiss, Forum Math. 19 (2007), 107-114)

21. Enveloping semigroups in topological dynamics (revised) (Topology Appl. 154 (2007), 2344-2363)

III. More recent works:

          1. Generically there is but one self homeomorphism of the Cantor set (with E. Akin and B. Weiss, Trans. Amer. Math. Soc. 360 (2008), 3613-3630; arXiv: math.DS/0603538)

2. On metrizable enveloping semigroups (with M. Megrelishvili and V.V. Uspenskij, Isr. J. of Math., 164 (2008), 317-332, arXiv: math.DS/0606373)

          3. Some new algebras of functions on topological groups arising from G-spaces    (with M. Megrelishvili, Fundamenta Math. 201 (2008), 1-51, arXiv: math.DS/0608575)

    4. Topological groups with Rohlin properties (with B. Weiss, Colloq. Math. 110 (2008), 51-80)

5. On two problems concerning topological centers (Top. Proc. 33 (2009), 29-39, arXiv:math.DS/0710.2625)

6. Local entropy theory (with XiangDong Ye, Ergodic Theory Dyn. Syst. 29 (2009), 321-356)

7. Effective minimal subflows of Bernoulli flows (with V. V. Uspenskij, Proceedings of the AMS, 137 (2009), 3147-3154)

8. Representations of dynamical systems on Banach spaces not containing l 1 (revised) (with M. Megrelishvili, Trans. Amer. Math. Soc. 364 (2012), no. 12, 6395–6424, arXiv:0803.2320)

9. A topological lens for a measure-preserving system (with M. Lemanczyk and B. Weiss, Ergodic Theory Dynam. Systems 31 (2011), no. 1, 49–75, arXiv:0901.1247)

10. Sufficient conditions under which a transitive system is chaotic (with E. Akin, W. Huang, S. Shao and X. Ye, Ergodic Theory Dyn. Syst, 30 (2010), 1277–1310, arXiv:0901.2201)

11. The group Aut(m) is Roelcke precompact ( Canad. Math. Bull. 55 (2012), no. 2, 297–302, arXiv:0902.3786)

12. On two recurrence problems (with M. Boshernitzan, Fundamenta Math. 206 (2009), 113--130, arXiv:0902.3931)

13. Stationary dynamical systems (with H. Furstenberg, Dynamical numbers—interplay between dynamical systems and number theory, 1–28, Contemp. Math., 532, Amer. Math. Soc., Providence, RI, 2010. arXiv:0910.4185)

14. On Hilbert dynamical systems (with B. Weiss, Ergod. Th. & Dynam. Sys. (2012), 32, 629–642, arXiv:1005.0230)

15. On fixed point theorems and nonsensitivity (with M. Megrelishvili, Israel J. Math. 190 (2012), 289–305., arXiv:1007.5303)

16. The universal minimal space for groups of homeomorphisms of h-homogeneous spaces (with Yonatan Gutman, Dynamical systems and group actions, 105–117, Contemp. Math., 567, Amer. Math. Soc., Providence, RI, 2012, arXiv:1106.0121)

17. Minimal hyperspace actions of homeomorphism groups of h-homogeneous spaces (with Yonatan Gutman, J. Anal. Math. 119 (2013), 305–332, arXiv:1107.1436)

18. Recurrence for stationary actions (with Hillel Furstenberg, From Fourier analysis and number theory to radon transforms and geometry, 283–291, Dev. Math., 28, Springer, New York, 2013. arXiv:1111.0489)

19. Extensions of Cantor minimal systems and dimension groups (with Bernard Host, J. Reine Angew. Math. 682 (2013), 207–243, arXiv:1111.0506)

20. Translation-finite sets (arXiv:1111.0510)

21. Hypercyclic operators, Gauss measures and Polish dynamical systems (with Y. Dayan, to appear in the IJM, arXiv:1211.0105)

22. Banach representations and affine compactifications of dynamical systems (with M. Megrelishvili, in Asymptotic geometric analysis, 75–144, Fields Inst. Commun., 68, Springer, New York, 2013, arXiv:1204.0432)

23. Weak mixing properties for nonsingular actions (with Benjamin Weiss, to appear in ETDS, arXiv:1308.0159)

24. A universal hypercyclic representation (with Benjamin Weiss, arXiv:1401.2019)

25. $RP^{[d]}$ is an equivalence relation \\ An enveloping semigroup proof (arXiv:1402.3135)

26. Uniformly recurrent subgroups (with Benjamin Weiss, to appear in: Proceedings of the Conference on Recent Trends in Ergodic Theory and Dynamical Systems,  arXiv:1402.5028)

27. Eventual nonsensitivity and tame dynamical systems (with Michael Megrelishvili, arXiv:1405.2588)

28. Representations of dynamical systems on Banach spaces (with Michael Megrelishvily, in Recent progress in general topolgy III)

29. WAP Systems and Labeled Subshifts (with Ethan Akin, arXiv:1410.4753)

30. Isomorphic extensions and applications (with Tomasz Downarowicz, arXiv:1502.06999)

31. Is there a Ramsey-Hindman theorem ? (with Ethan Akin, arXiv:1504.00218v1)