Papers and Preprints by Alex Furman

• A survey of Measured Group Theory
  preprint, 61 pages. [ pdf | arxiv:0901.0678 | abstract ]
  
  
• L^1 Measure Equivalence, simplicial volume, and rigidity of hyperbolic lattices
  (with U. Bader and R. Sauer), in preparation.
  
  
• Rigidity of group actions on homogeneous spaces, III
  (with U. Bader, A. Gorodnik, B. Weiss), in preparation.
  
  
• Superrigidity via Weyl groups: hyperbolic-like targets
  (with U. Bader), coming soon. [ abstract ]
  
  
• Cohomology of measurable cocycles
  Coming soon.
  
  
• Product groups acting on Manifolds
  (with N. Monod)
  Duke Math. Journal 148 no.1 (2009), 1--39. [ pdf | arXiv:0710.3119v2 | abstract ]
  
  
• Rigidity of group actions on infinite volume homogeneous spaces, II
  J. Amer. Math. Soc. 21 (2008), 479--512. [ pdf | math.DS/0605273 | abstract ]
  
  
• Invariant measures and stiffness for non Abelian groups of toral automorphisms
  (with J. Bourgain, E. Lindenstrauss, S. Mozes)
  C. R. Acad. Sci. Paris, Ser. I, 344 (2007) 737--742. [ pdf | abstract ]
  
  
• On Popa's Cocycle Superrigidity Theorem
  Inter. Math. Res. Notices IMRN, 2007 (2007), 1--46, Art. ID rnm073. [ pdf | math.DS/0608364 | abstract ]
  
  
• Superrigidity via Weyl groups: actions on the circle
  (with U. Bader and Ali Shaker), 38 pages. [ pdf | math.DS/0605276 | abstract ]
  
  
• Property (T) and rigidity for actions on Banach spaces
  (with U. Bader, T. Gelander, and N. Monod)
  Acta Math. 198 (2007), 57--105. [ pdf | math.GR/0506361 | abstract ]
  
  
• Outer automorphism groups of some ergodic equivalence relations
  Comment. Math. Helv. 80 (2005), no. 1, 157 - 196. [ pdf | math.DS/0312346 | abstract ]
  
  
• On minimal strongly proximal actions of locally compact groups
  Israel J. Math. 136 (2003), 173 - 187. [ dvi | pdf | abstract ]
  
  
• Random walks on groups and random transformations
  Handbook of dynamical systems, Vol. 1A, 931 - 1014, North-Holland, Amsterdam, 2002. [ dvi | pdf | abstract ]
  
  
• Coarse-geometric perspective on negatively curved manifolds and groups
  in Rigidity in dynamics and geometry (Cambridge, 2000), 149 - 166, Springer, Berlin, 2002. [ dvi | pdf | abstract ]
  
  
• Mostow-Margulis rigidity with locally compact targets
  GAFA, Geom. Func. Anal. 11 (2001), 30 - 59. [ dvi | pdf | abstract ]
  
  
• Smooth dynamical systems with discrete spectrum
  Appendix to the paper by R. Gunesch and A. Katok: Construction of weakly mixing diffeomorphisms preserving measurable Riemannian metric and smooth measure
  Discr. Cont. Dynam. Syst. 6 No 1, (2000), 61 - 88. [ dvi | abstract ]
  
  
• Gromov's measure equivalence and rigidity of higher rank lattices
  Ann. of Math. (2) 150 (1999), 1059 - 1081. [ dvi | pdf | math.GR/9911262 | abstract ]
  
  
• Orbit equivalence rigidity
  Ann. of Math. (2) 150 (1999), 1083 - 1108. [ dvi | pdf | math.GR/9911263 | abstract ]
  
  
• Sharp ergodic theorems for group actions and strong ergodicity
  (with Y. Shalom)
  Ergodic Theory Dynam. Systems 19 (1999), no. 4, 1037 - 1061. [ dvi | pdf | abstract ]
  
  
• On the ergodic properties of Cartan flows in ergodic actions of SL(2,R) and SO(n,1)
  (with B. Weiss)
  Ergodic Theory Dynam. Systems 17 (1997), no. 6, 1371 - 1382. [ abstract ]
  
  
• On the multiplicative ergodic theorem for uniquely ergodic systems
  Ann. Inst. H. Poincare Probab. Statist. 33 (1997), no. 6, 797--815. [ pdf | abstract ]