On trial with lonely Medea

ANALYZING PICL TRACE DATA WITH MEDEA y

Execution traces and performance statistics can be collected for parallel applications on a variety of multiprocessor platforms by using the Portable Instrumented Communication Library PICL The static and dynamic performance characteristics of performance data can be analyzed easily and e ectively with the facilities provided within the MEasurements Description Evaluation and Analysis tool MEDE...

Analyzing PICL Trace Data with MEDEA

A Note on Lacunary Lonely Runners

We give a simple argument proving the lonely runner conjecture in the case where the speed of the runners forms a certain lacunary sequence. This improves an earlier result by Pandey, and is then used to derive that for each number of runners the lonely runner conjecture is true for a set of nonzero measure in a natural probability space.

The Lonely Runner with Seven Runners

Suppose k + 1 runners having nonzero constant speeds run laps on a unit-length circular track starting at the same time and place. A runner is said to be lonely if she is at distance at least 1/(k + 1) along the track to every other runner. The lonely runner conjecture states that every runner gets lonely. The conjecture has been proved up to six runners (k ≤ 5). A formulation of the problem is...

The lonely eye.

A lthough the dinosaurs are gone, extant vertebrates provide clues to the development of photorecep-tion among the clades that probably preceded and then radiated into the dinosaurs. The ancient order Rhyncho-cephalia, which includes Sphenodon as its only family, with two surviving species, had its heyday between 200 million and 100 million years ago. While this order is reptilian, these creatu...