SUPER-EXPANDERS AND WARPED CONES

The key difference is that while those bounds are typically used to bound the deviation between empirical and expected means under the assumption that the data are drawn from the

On the other hand, there is a link between uniformly bounded represen- tations and K -theory which we had already observed in 1984 [J2]: the fact that the map R(G) → EndK ∗ (C r ∗

Using the same mean field approximations as before, the net effect of this avalanche between perturbations is to increase the number of barriers that change value at each time

by cell using a Morse function and proves by induction that each step of the construction is simply homotopy equivalent to the corresponding part of the Morse

In Section 3, we derive a precise blow-up scenario and present a global existence result of strong solutions to Equation (1.1).. In Section 4, we prove that Equation (1.1) has

1 To prove the theorem, we shall show that every countable subgroup of GL ( n , K ) admits a uniform embedding into a Hilbert space, in the sense of Gromov [14].. According to

In addition, we give the decomposition of words in the language p + q + , in particular we find fractional root decompositions and fractional exponents of the words appearing in

The rigidity result follows from a new concentration inequality for Lipschitz maps on the infinite Hamming graphs and taking values in T ∗ , and from the embeddability of the