Eli Glasner

Department of mathematics

Tel-Aviv University


I.          1.  Errata / Addenda to Ergodic theory via joinings.   (Mathematical Surveys and Monographs, 101American 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.  Hereditarily 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)

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)