We introduce a group of periodic permutations, a new version of the infinite symmetric group. We then generalize and study the Robinson–Schensted correspondence for such permutations.

We introduce an analog of the Robinson Schensted algorithm for skew oscillating tableaux which generalizes the well-known correspondence for standard tableaux. We show that this new algorithm enjoys some of the same properties as the original. In particular, it is still true that replacing a permutation by its inverse exchanges the two output tableaux. These facts permit us to derive a number o...

Five New World species of Chrysotus Meigen are redescribed, four of them herein transferred from Diaphorus Meigen: C. angustifrons (Robinson), comb.nov., C. maculatus (Parent), comb.nov. (= D. maculipennis Robinson), C. robustus (Robinson), comb.nov., C. spectabilis (Loew) and C. wirthi (Robinson), comb.nov. The female of C. maculatus is described for the first time. Terminalia of both males an...

A novel superstring-inspired gravitational theory in four spacetime dimensions is proposed as a sum of the modified $(R+\alpha R^2)$ gravity motivated by Starobinsky inflation and Bel-Robinson-tensor-squared term eleven-dimensional M-theory dimensionally reduced to dimensions. The Starobinsky-Bel-Robinson action has only two parameters, which makes it suitable for verifiable physical applicatio...

We prove sharp Lieb-Thirring inequalities for Schrödinger operators with potentials supported on a hyperplane and we show how these estimates are related to LiebThirring inequalities for relativistic Schrödinger operators.

In this paper, we study rank two semifields of order q that are of scattered type. The known examples of such semifields are some Knuth semifields, some Generalized Twisted Fields and the semifields recently constructed in [12] for q ≡ 1(mod 3). Here, we construct new infinite families of rank two scattered semifields for any q odd prime power, with q ≡ 1(mod 3); for any q = 2, such that h ≡ 1(...

In this paper the evolution of the phase space density of particle beams in external fields is presented proceeding from the conti ity equation in the six-dimensional (6D) phase space ( -space). Such a way the Robinson theorem, which includes the Liouville theorem as a special case, was proved in a more simple and consistent alternative way valid for arbitrary external fields, averaged fields ...