Claus Brun (1914-2014)

Acanthocephala in The Journal of Parasitology , 1914 – 2014

The launch of The Journal of Parasitology (JP) by Henry Baldwin Ward in September 1914 was a historical landmark that witnessed the passage of the torch of acanthocephalan work, especially higher taxonomy, from Europe to the United States, with the excep-tion of the works of Anton Meyer, Yves Golvan, and a few Russian workers in the early twentieth century. At that juncture, there were only two...

The Brun-hooley Sieve

Brun expansions of stepped surfaces

Dual maps have been introduced as a generalization to higher dimensions of word substitutions and free group morphisms. In this paper, we study the action of these dual maps on particular discrete planes and surfaces – namely stepped planes and stepped surfaces. We show that dual maps can be seen as discretizations of toral automorphisms. We then provide a connection between stepped planes and ...

Dynamic Asset Allocation ∗ Claus

Higher - Order ( Non - ) Modularity Claus

We show that, contrary to the situation in first-order term rewriting, almost none of the usual properties of rewriting are modular for higher-order rewriting, irrespective of the higher-order rewriting format. We show that for the particular format of simply typed applicative term rewriting systems modularity of confluence, normalization, and termination can be recovered by imposing suitable l...