We show how a rigidity estimate introduced in recent work of Bernand-Mantel, Muratov and Simon can be derived using the harmonic map flow. The controls far degree one between 2-spheres from Möbius terms its energy, irrespective whether or not has small tension.

1. PRELIMINARIES Let S be a non empty set and let a, b be elements of S. The functor a,b, ... yielding a function from N into S is defined by the condition (Def. 1). (Def. 1) Let i be a natural number. Then (i) if there exists a natural number k such that i = 2 · k, then (a,b, ...)(i) = a, and (ii) if it is not true that there exists a natural number k such that i = 2 · k, then (a,b, ...)(i) = ...

The purpose of this article is to give formulas for BlochKato’s exponential map and its dual for an absolutely crystalline padic representation V , in terms of the (φ,Γ)-module associated to V . As a corollary of these computations, we can give a very simple and slightly improved description of Perrin-Riou’s exponential map, which interpolates Bloch-Kato’s exponentials for the twists of V . Thi...

Objective(s) Inhibitors of p38 MAP kinase are considered as suitable target in the treatment of inflammatory diseases such as rheumatoid arthritis and bowel inflammatory diseases. The development of 5-alkylthio-1-aryl-2-(4-pyridinyl) triazoles as inhibitors of p38 MAP kinase is described. These are analogues of 4- pyridinyl imidazole p38 MAP kinase inhibitor reported by Merck Research Laborator...

We investigate the adjunction between the category of tran-sition systems (with not nec. bounded morphisms) and the topos of treesS from the perspective of the basic modal logic K on transition systems.More specifically, we show how the modal logic K over an object of Sseen as a transition system can be lifted back as a subobject of S . Thisrelies on the usual mutually trans...

The multidimensional assignment problem (MAP) (abbreviated s-AP in the case of s dimensions) is an extension of the well-known assignment problem. The most studied case of MAP is 3-AP, though the problems with larger values of s have also a number of applications. In this paper we propose several local search heuristics for MAP and select the dominating ones. The results of computational experi...