ARE HEIGHTS AND HEIGHTS NORMALLY DISTRIBUTED?

Heights and Weights

Tables of the relation between height and weight are now common in many countries, and if reasonably used are certainly helpful. It is not that a youth, a man, or woman, of a certain height must closely conform to the weight tabulated, a margin of 15 or 20 per cent, on either side is allowable. Such a table is undoubtedly useful in comparing the recruits or the prisoners it may be of one year (...

Fathers’ and daughters’ heights

Bifurcations, Intersections, and Heights

In this article, we prove the equivalence of dynamical stability, preperiodicity, and canonical height 0, for algebraic families of rational maps ft : P(C)→ P(C), parameterized by t in a quasi-projective complex variety. We use this to prove one implication in the if-and-only-if statement of [BD2, Conjecture 1.10] on unlikely intersections in the moduli space of rational maps; we present the co...

Hsp90 reaches new heights

Introduction Hsp90 (heat-shock protein 90) is an abundant molecular chaperone, but its function seems to be restricted to the folding of proteins involved in cell signalling, such as transcription factors and protein kinases. This restricted set of ‘clients’ (see Fig. 1) makes Hsp90 an attractive target for cancer therapeutics. As an anti-Hsp90 drug is now in clinical trials, the meeting was re...

Morphic Heights and Periodic Points

An approach to the calculation of local canonical morphic heights is described, motivated by the analogy between the classical height in Diophantine geometry and entropy in algebraic dynamics. We consider cases where the local morphic height is expressed as an integral average of the logarithmic distance to the closure of the periodic points of the underlying morphism. The results may be though...