We introduce a simplicial pseudo-random version of lattice gauge theory. In this formulation it is possible to interpolate continuously between a regular simplicial lattice and a pseudo-random lattice. Using this method, we study -a simple three dimensional Abelian lattice gauge theory. Calculating average plaquette expectation values, we find an extremum of the action for our regular simplicia...

Let P (m,n) denote the maximum permanent of an n-by-n lower Hessenberg (0, 1)-matrix with m entries equal to 1. A “staircased” structure for some matrices achieving this maximum is obtained, and recursive formulas for computing P (m,n) are given. This structure and results about permanents are used to determine the exact values of P (m,n) for n ≤ m ≤ 8n/3 and for all nnz(Hn) − nnz(Hbn/2c) ≤ m ≤...

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I propose to begin my paper on the logic of the social sciences with two theses which formulate the opposition between our knowledge and our ignorance. First thesis: We know a great deal. And we know not only many details of doubtful intellectual interest but also things which are of considerable practical significance and, what is even more important, which provide us with deep theoretical ins...

We provide combinatorial interpretations for determinants which are Fibonacci numbers of several recently introduced Hessenberg matrices. Our arguments make use of the basic definition of the determinant as a signed sum over the symmetric group.

Reinhard Alkofer Institut für Physik, Karl-Franzens-Universität, Universitätsplatz 5, A-8010 Graz, Austria Christian S. Fischer Institut für Physik, TU Darmstadt, Schlossgartenstr. 9, D-64289 Darmstadt, Germany Markus Q. Huber Institut für Physik, Karl-Franzens-Universität, Universitätsplatz 5, A-8010 Graz, Austria Kai Schwenzer Institut für Physik, Karl-Franzens-Universität, Universitätsplatz ...

When Karl Deisseroth, a neuroscientist at Stanford University, recently set out to improve a trustymolecular tool for finessing the activity of brain cells in living animals, he had nary a clue that nature had longanticipated his fastidious feat of engineering. Deisseroth, whose name has become nearly metonymous with optogenetics, a molecular technique for manipulating neurons using light, has ...

Karl Oskar Illmensee studied the cloning [2] and reproduction of fruit flies, mice, and humans [3] in the US and Europe during the twentieth and twenty-first centuries. Illmensee used nuclear transfer techniques (cloning [2]) to create early mouse [4] embryos from adult mouse [4] cells, a technique biologists used in later decades to help explain how embryonic cells function during development....