A strong hot spot theorem

A Strong Hot Spot Theorem

A real number α is said to be b-normal if every mlong string of digits appears in the base-b expansion of α with limiting frequency b−m. We prove that α is b-normal if and only if it possesses no base-b “hot spot.” In other words, α is b-normal if and only if there is no real number y such that smaller and smaller neighborhoods of y are visited by the successive shifts of the base-b expansion o...

Combinatorial Proof of the Hot Spot Theorem

Space-eecient Hot Spot Estimation Space-eecient Hot Spot Estimation

This paper is concerned with the problem of identifying names which occur frequently in an ordered list of names. Such names are called hot spots. Hot spots can be identiied easily by counting the occurrences of each name and then selecting those with large counts. However, this simple solution requires space proportional to the number of names that occur in the list. In this paper, we present ...

A Hot Spot in Coma

We study the temperature structure of the central part (r ≤ 18≃ 0.7h 50 Mpc) of the Coma cluster of galaxies using ASCA data. Two different analysis methods produce results in good agreement with each other and reveal the presence of interesting structures in the gas temperature distribution. Globally, the average temperature in the center of the cluster is 9.0±0.6 keV in good agreement with pr...

Strong structural effect of the position of a single acetylaminofluorene adduct within a mutation hot spot.

The NarI restriction enzyme recognition site, G1G2CG3CC, has been identified as a hotspot for -2 frameshift mutations induced by N-2-acetylaminofluorene (AAF) on the basis of a forward mutation assay in plasmid pBR322 in the bacterium Escherichia coli. AAF binds primarily to the C-8 position of guanine residues, and the three guanines of the NarI site are similarly reactive. Despite this simila...