期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2021; 31 (2)
We prove that the Novikov conjecture holds for any discrete group admitting an isometric and metrically proper action on an admissible Hilbert-Hadamar......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, ; ()
In 1998 Kleinbock conjectured that any set of weighted badly approximable d x n real matrices is a winning subset in the sense of Schmidt's game. In t......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2020; 30 (2)
We establish Anderson localization for general analytic k-frequency quasi-periodic operators on Z(d) for arbitraryk, d.
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2020; 30 (1)
We study a class of discrete-time random dynamical systems with compact phase space. Assuming that the deterministic counterpart of the system in ques......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2019; 29 (2)
Let (S,g(0)) be a hyperbolic surface, be a Hitchin representation for PSL(n,R), and f be the unique -equivariant harmonic map from (S0) to the corresp......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2019; 29 (4)
In this paper, we study the weighted n-dimensional badly approximable points on manifolds. Given a Cn differentiable non-degenerate submanifold U subs......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2019; 29 (5)
We study the problem of embedding arbitrary Z(k)-actions into the shift action on the infinite dimensional cube (vertical bar 0,1 vertical bar(D))(Zk)......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2019; 29 (5)
Given a non-conformal repeller Lambda of a C1+gamma map, we study the Hausdorff dimension of the repeller and continuity of the sub-additive topologic......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2019; 29 (6)
In this article, we study the smallest gaps between eigenvalues of the Gaussian orthogonal ensemble (GOE). The main result is that the smallest gaps, ......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2018; 28 (2)
The Birkhoff conjecture says that the boundary of a strictly convex integrable billiard table is necessarily an ellipse. In this article, we consider ......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2018; 28 (5)
We show that under certain boundedness condition, a C-r conservative irrational pseudo-rotations on T-2 with a generic rotation vector is Cr-1-rigid. ......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2017; 27 (4)
In this note we prove the existence of infinitely many positive conformal classes on S-7 which cannot be the conformal infinity of a Poincare-Einstein......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2017; 27 (5)
Cheeger and Tian (J Am Math Soc 19(2):487-525, 2006) proved an -regularity theorem for 4-dimensional Einstein manifolds without volume assumption. The......
