Review of East African Plant Collectors

The Flora of Tropical East Africa, covering Uganda, Kenya and Tanzania, was one of the largest regional floras ever compiled, with over 12,000 wild plant species and taking 64 years to complete. The East African Plant Collectors is the perfect supplement to this great flora and is a wonderful compendium of botanists, collectors and authors showing the human element of the flora - the people behind the herbarium specimens, the new species and combinations and the flora treatments. This book includes around 2,700 collectors that have collected herbarium specimens in the region arranged alphabetically. Each individual entry includes biographical data, including nationality, dates of birth and death, travels, publications, eponymy, publications and it lists the herbaria where specimens were deposited. The level of detail varies considerably from collector to collector with some briefly treated, whilst others are very detailed. For example, Bernard Verdcourt’s entry is lengthy and includes location details of his 30 years of fieldwork, publication details of the flora treatments he compiled (a remarkable one-fifth of the flora...) and even an anecdote about meeting a lion on Ndi Hill!

Joint Distribution of Distances in Large Random Regular Networks

We study the array of point-to-point distances in random regular graphs equipped with exponential edge lengths. We consider the regime where the degree is kept fixed while the number of vertices tends to ∞. The marginal distribution of an individual entry is now well understood, thanks to the work of Bhamidi, van der Hofstad and Hooghiemstra (2010). The purpose of this note is to show that the whole array, suitably recentered, converges in the weak sense to an explicit infinite random array. Our proof consists in analyzing the invasion of the network by several mutually exclusive flows emanating from different sources and propagating simultaneously along the edges.

Joint Distribution of Distances in Large Random Regular Networks

We study the array of point-to-point distances in random regular graphs equipped with exponential edge lengths. We consider the regime where the degree is kept fixed while the number of vertices tends to ∞. The marginal distribution of an individual entry is now well understood, thanks to the work of Bhamidi, van der Hofstad and Hooghiemstra (2010). The purpose of this note is to show that the whole array, suitably recentered, converges in the weak sense to an explicit infinite random array. Our proof consists in analyzing the invasion of the network by several mutually exclusive flows emanating from different sources and propagating simultaneously along the edges.

Worttrennung am Zeilenende

Word division at ends of lines is a part of the official orthography of German. In the present text, it is identified as being codified in three different ways: First by a general rule that makes recourse to spoken syllables, second by a set of more specific rules that deal with several different patterns, some of them failing to follow the syllable rule, and third by explicit markings in each individual entry in dictionaries like Duden (2006). Some of these data are inconsistent with the aforesaid rule systems. Based on a theory that is formulated independently of the subject of this article, namely the recoding model of graphematics (Neef 2005a), the different sets of data of word division are reconstructed in a theoretical model. As a result it is argued that word division is guided by properties of letters in the first place, while in a secondary fashion the system is disturbed by a syllabic conception. A pure syllablebased explanation that is advocated for in several other theoretical analyses, however, fails to cover central aspects of the data

Wavelet transforms in generalized Fock spaces

A generalized Fock space is introduced as it was developed by Schmeelk [1-5], also Schmeelk and Takači [6-8]. The wavelet transform is then extended to this generalized Fock space. Since each component of a generalized Fock functional is a generalized function, the wavelet transform acts upon the individual entry much the same as was developed by Mikusinski and Mort [9] based upon earlier work of Mikusinski and Taylor [10]. It is then shown that the generalized wavelet transform applied to a member of our generalized Fock space produces a more appropriate functional for certain appfications.