Geometric and Functional Analysis
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Multiple Recurrence Theorem for Measure Preserving Actions of a Nilpotent Group
Geometric and Functional Analysis - Tập 8 Số 5 - Trang 853-931 - 1998
The Cut Loci, Conjugate Loci and Poles in a Complete Riemannian Manifold
Geometric and Functional Analysis - Tập 22 - Trang 1400-1406 - 2012
Let M be a complete Riemannian manifold. We first prove that there exist at least two geodesics connecting p and every point in M if the tangent cut locus of
$${p \in M}$$
is not empty and does not meet its tangent conjugate locus. It follows from this that if M admits a pole and
......
Flattening a non-degenerate CR singular point of real codimension two
Geometric and Functional Analysis - Tập 28 - Trang 289-333 - 2018
This paper continues the previous studies in two papers of Huang–Yin [HY16,HY17] on the flattening problem of a CR singular point of real codimension two sitting in a submanifold in
$${{\mathbb {C}}^{n+1}}$$
with n + 1 ≥ 3, whose CR points are no......
An isoperimetric inequality for the Heisenberg groups
Geometric and Functional Analysis - Tập 8 - Trang 219-233 - 1998
We show that the Heisenberg groups
$ \cal {H}^{2n+1} $
of dimension five and higher, considered as Riemannian manifolds, satisfy a quadratic isoperimetric inequality. (This means that each loop of length L bounds a disk of area ~ L
2.) This implies several important results about isoperimetric inequalities for discrete groups that act ......
On the random Chowla conjecture
Geometric and Functional Analysis - Tập 33 - Trang 749-777 - 2023
We show that for a Steinhaus random multiplicative function
$$f:{\mathbb {N}}\rightarrow {\mathbb {D}}$$
and any polynomial
$$P(x)\in {\mathbb {Z}}[x]$$
of
......
On the Exceptional Set for Absolute Continuity of Bernoulli Convolutions
Geometric and Functional Analysis - Tập 24 - Trang 946-958 - 2014
We prove that the set of exceptional
$${\lambda\in (1/2,1)}$$
such that the associated Bernoulli convolution is singular has zero Hausdorff dimension, and likewise for biased Bernoulli convolutions, with the exceptional set independent of the bia......
On the Dimension of Kakeya Sets and Related Maximal Inequalities
Geometric and Functional Analysis - Tập 9 - Trang 256-282 - 1999
((Without Abstract)).
Finitary random interlacements and the Gaboriau–Lyons problem
Geometric and Functional Analysis - Tập 29 - Trang 659-689 - 2019
The von Neumann–Day problem asks whether every non-amenable group contains a non-abelian free group. It was answered in the negative by Ol’shanskii in the 1980s. The measurable version (formulated by Gaboriau–Lyons) asks whether every non-amenable measured equivalence relation contains a non-amenable treeable subequivalence relation. This paper obtains a positive answer in the case of arbitrary Be......
Singular Supports for Character Sheaves on a Group Compactification
Geometric and Functional Analysis - Tập 17 Số 6 - Trang 1915-1923 - 2008
Higher-Order Fourier Analysis Of $${\mathbb{F}_{p}^n}$$ And The Complexity Of Systems Of Linear Forms
Geometric and Functional Analysis - - 2011
Tổng số: 949
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