From the 1 of 4 linked papers with an AI index.
4 papers
A construction of Kakeya Sets in Arbitrary Dimension
Rafael J. Fernández-Delgado, Mikael de la Salle
The paper presents a new method for building Kakeya sets in any dimension, achieving very small volume for their δ‑neighbourhoods and exploring implications for Fourier multiplier…
Kakeya conjecture and High-Rank Lattice von Neumann algebras
Mikael de la Salle
If the non-commutative L p space of SLn(Z) has the completely bounded approximation property for some non-trivial value of p, then some form of the Kakeya conjecture holds in dimen…
Spectral gap and stability for groups and non-local games
Mikael de la Salle
The word stable is used to describe a situation when mathematical objects that almost satisfy an equation are close to objects satisfying it exactly. We study operator-algebraic fo…
Random walk on hyperbolic groups and proper powers
Mikael de la Salle
The probability that a symmetric random walk in a hyperbolic group reaches a proper power has the same exponential rate of decay as the probability of return to the identity.