Almost Newton, sometimes Lattès

Sometimes-Recurse Shuffle - Almost-Random Permutations in Logarithmic Expected Time

We describe a security-preserving construction of a random permutation of domain size N from a random function, the construction tolerating adversaries asking all N plaintexts, yet employing just Θ(lgN) calls, on average, to the one-bit-output random function. The approach is based on card shuffling. The basic idea is to use the sometimes-recurse transformation: lightly shuffle the deck (with s...

Lattès Maps On

In [J. Milnor, On Lattès maps, Dynamics on the Riemann sphere, European Mathematical Society, Zürich, 2006, 9-43], Milnor gave a classification of Lattès maps on P. In this paper, we give a classification of Lattès maps on P. Résumé Dans [J. Milnor, On Lattès maps, Dynamics on the Riemann sphere, European Mathematical Society, Zürich, 2006, 9-43], Milnor a donné une classification des applicati...

Sur Les Applications De Lattès De P

Let f be a polynomial endomorphism of degree d ≥ 2 of C k (k ≥ 2) which extends to a holomorphic endomorphism of P k. Assume that the maximal order Julia set of f is laminated by real hypersurfaces in some open set. We show that f is homogenous and is a polynomial lift of a Lattès endomorphism of P k−1 .

Infectious Agents and Autophagy: Sometimes You Win, Sometimes You Lose

Sometimes, more is better.

(See the article by El Sahly et al, on pages 703–12.) Influenza causes significant morbidity and mortality with an estimated 36 000 attributable deaths in the United States annually [1]. Human immunodefi-ciency virus (HIV) infection, specifically , advanced disease (CD4 count ,200 cells/lL), has been associated with excess morbidity and mortality [2]. With the use of combination antiretroviral ...