期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (3)
Let S be a connected non-orientable surface with negative Euler characteristic and of finite type. We describe the possible closures in ML and PML of ......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (1)
For a probability measure mu on SLd(R), we consider the Furstenberg stationary measure v on the space of flags. Under general non-degeneracy condition......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (5)
We show that every sufficiently large integer is a sum of a prime and two almost prime squares, and also a sum of a smooth number and two almost prime......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (4)
Henstock and Macbeath asked in 1953 whether the Brunn-Minkowski inequality can be generalized to nonabelian locally compact groups; questions along th......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (2)
We consider Schrodinger operators in l(2)(Z) whose potentials are given by the sum of an ergodic term and a random term of Anderson type. Under the as......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (4)
We explore geometric properties of the Mandelbrot set M, and the corresponding Julia sets J(c), near the main cardioid. Namely, we establish that: (a)......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; ()
We prove a concentration inequality for invariant means on topological groups, namely for such adapted to a chain of amenable topological subgroups. T......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (2)
We prove a normal form for contact forms close to a Zoll one and deduce that Zoll contact forms on any closed manifold are local maximizers of the sys......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (5)
Let (S,w) be a closed connected oriented surface whose genus l is at least two equipped with a symplectic form. Then we show the vanishing of the cup ......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (1)
We establish a dichotomy for the rate of the decay of the Cesaro averages of correlations of sufficiently regular functions for typical interval excha......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; ()
We prove that any ergodic SL2(R)-invariant probability measure on a stratum of translation surfaces satisfies strong regularity: the measure of the se......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (4)
We prove that with high probability G((3))(n, n(-1+o(1))) contains a span-ning Steiner triple system for n = 1,3 (mod 6), establishing the exponent fo......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (3)
We solve a conjecture raised by Kapovitch, Lytchak and Petrunin in [KLP21] by showing that the metric measure boundary is vanishing on any RCD(K, N) s......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (1)
Let Y = (Y, d) be a CAT(0) space which is either proper or of finite telescopic dimension, and gamma a countable group equipped with a symmetric and n......
期刊： GEOMETRIC AND FUNCTIONAL ANALYSIS, 2023; 33 (5)
We introduce a new iterative amalgamated free product construction of II1 factors, and use it to construct a separable II1 factor which does not have ......
