Publications of Alexander Furman
Asymptotic shapes for ergodic families of metrics on nilpotent groups.
Groups, Geom., Dynam., Groups Geom. Dyn.,
11(4):1307--1345, 2017.
An adelic arithmeticity theorem for lattices in products.
2017.
Rigidity of group actions on homogeneous spaces, III.
Duke, J. Math.,
164(1):115--155, 2015.
On the structure and arithmeticity of lattice envelopes.
C. R. Acad. Sci. Paris, Ser. I,
353:409--413, 2015.
Weak notions of normality and vanishing up to rank in $L^2$-cohomology.
Int. Math. Res. Not. IMRN,
12:3177--3189, 2014.
MR3217658
Boundaries, rigidity of representations, and lyapunov exponents.
In Proceedings of the icm 2014,
pages 71--96. 2014.
Efficient subdivision in hyperbolic groups and applications.
Groups Geom. Dyn.,
7(2):263--292, 2013.
MR3054570
Integrable measure equivalence and rigidity of hyperbolic lattices.
Invent. Math.,
194(2):313--379, 2013.
MR3117525
Integrable measure equivalence and rigidity of hyperbolic lattices.
Invent. Math.,
DOI 10.1007/s00222-012-0445-9:pp. 67, 2013. arxiv:1006.5193.
Efficient subdivision in hyperbolic groups and applications.
Groups Geom. and Dyn.,
7:pp. 30, 2013. arXiv:1003.1562.
Weak notions of normality and vanishing up to rank in $l^2$-cohomology.
Inter. Math. Res. Notices ,
doi: 10.1093/imrn/rnt029:pp. 13, 2013. arXiv:1206.4793.
Boundaries, Weyl groups, and superrigidity.
Electron. Res. Announc. Math. Sci.,
19:41--48, 2012.
MR2929597
Boundaries, weyl groups, and superrigidity.
Electron. Res. Announc. Math. Sci.,
19:41--48, 2012. arxiv:1109.3482.
Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus.
J. Amer. Math. Soc.,
24(1):231--280, 2011.
MR2726604
A survey of measured group theory.
In Geometry, rigidity, and group actions,
pages 296--374. Univ. Chicago Press, Chicago, IL, 2011.
MR2807836
What is $\dots$ a stationary measure?.
Notices Amer. Math. Soc.,
58(9):1276--1277, 2011.
MR2868101
Product groups acting on manifolds.
Duke Math. J.,
148(1):1--39, 2009.
MR2515098
Measurable rigidity of actions on infinite measure homogeneous spaces. II.
J. Amer. Math. Soc.,
21(2):479--512, 2008.
MR2373357
Property (T) and rigidity for actions on Banach spaces.
Acta Math.,
198(1):57--105, 2007.
MR2316269
Invariant measures and stiffness for non-abelian groups of toral automorphisms.
C. R. Math. Acad. Sci. Paris,
344(12):737--742, 2007.
MR2340439
On Popa's cocycle superrigidity theorem.
Int. Math. Res. Not. IMRN,
19:Art. ID rnm073, 46, 2007.
MR2359545
Superrigidity via weyl groups: hyperbolic-like targets.
2007.
Superrigidity, weyl groups, and actions on the circle.
2006.
Outer automorphism groups of some ergodic equivalence relations.
Comment. Math. Helv.,
80(1):157--196, 2005.
MR2130572
On minimal strongly proximal actions of locally compact groups.
Israel J. Math.,
136:173--187, 2003.
MR1998109
Coarse-geometric perspective on negatively curved manifolds and groups.
In Rigidity in dynamics and geometry (Cambridge, 2000),
pages 149--166. Springer, Berlin, 2002.
MR1919399
Random walks on groups and random transformations.
In Handbook of dynamical systems, Vol. 1A,
pages 931--1014. North-Holland, Amsterdam, 2002.
MR1928529
Mostow-Margulis rigidity with locally compact targets.
Geom. Funct. Anal.,
11(1):30--59, 2001.
MR1829641
Construction of weakly mixing diffeomorphisms preserving measurable Riemannian metric and smooth measure.
Discrete Contin. Dynam. Systems,
6(1):61--88, 2000.
MR1739594
Sharp ergodic theorems for group actions and strong ergodicity.
Ergodic Theory Dynam. Systems,
19(4):1037--1061, 1999.
MR1709429
Orbit equivalence rigidity.
Ann. of Math. (2),
150(3):1083--1108, 1999.
MR1740985
Gromov's measure equivalence and rigidity of higher rank lattices.
Ann. of Math. (2),
150(3):1059--1081, 1999.
MR1740986
On the multiplicative ergodic theorem for uniquely ergodic systems.
Ann. Inst. H. Poincaré Probab. Statist.,
33(6):797--815, 1997.
MR1484541
On the ergodic properties of Cartan flows in ergodic actions of ${\rm SL}_ 2({\bf R})$ and ${\rm SO}(n,1)$.
Ergodic Theory Dynam. Systems,
17(6):1371--1382, 1997.
MR1488323