We present an exact duality transformation in the framework of Statistical Mechanics for various lattice models with non-Abelian global or local symmetries. The transformation applies to sigma models with variables in a compact Lie group G with global G×G-symmetry (the chiral model) and with variables in coset spaces G/H and a global G-symmetry (for example, the non-linear O(N) or RPN models) i...

In 1990 Ramaswami proved that, given a Markov renewal process of M/G/1– type, one can construct a Markov renewal process of GI/M/1–type such that the matrix transforms G(z, s) for the M/G/1–type process and R(z, s) for the GI/M/1–type process satisfy a duality relationship. In his 1996 PhD thesis, Bright used time reversal arguments to show that it is possible to define a different dual for pos...

Let S be a topological semigroup acting on a topological space X. We develop the theory of (weakly) almost periodic functions on X, with respect to S, and form the (weakly) almost periodic compactifications of X and S, with respect to each other. We then consider the notion of an action of Son a Banach space, and on its dual, and after defining S-invariant means for such a space, we give a...

One of the most basic examples of matroid duality is the following. Let G be a graph imbedded in the plane and let G∗ be its topological dual graph. If M(G) is the cycle matroid of G, then the dual matroid M∗(G) = M(G∗). If G is a connected graph that is 2-cell imbedded in a surface of demigenus d > 0 (the demigenus is equal to 2 minus the euler characteristic of the surface), then M∗(G) 6= M(G...

For Pontryagin’s group duality in the setting of locally compact topological Abelian groups, the topology on the character group is the compact open topology. There exist at present two extensions of this theory to topological groups which are not necessarily locally compact. The first, called the Pontryagin dual, retains the compact-open topology. The second, the continuous dual, uses the cont...

In this note we present some new results on distances in benzenoids. An algorithm is presented which, for a given benzenoid system G bounded by a simple circuit 2 with n vertices, computes the Wiener index of G in O(n) time. Also we show that benzenoid systems have a convenient dismantling scheme, which can be derived by applying breadth-first search to their dual graphs. Our last result deals ...

Automorphisms of order 2p in binary self-dual extremal codes of length a multiple of 24 Abstract Let C be a binary self-dual code with an automorphism g of order 2p, where p is an odd prime, such that g p is a fixed point free involution. If C is extremal of length a multiple of 24 all the involutions are fixed point free, except the Golay Code and eventually putative codes of length 120. Conne...

Receptor-induced vascular smooth muscle cell contraction is mediated by dual regulation of myosin light chain (MLC(20)) phosphorylation through Ca(2+)-dependent stimulation of myosin light chain kinase and Rho/Rho-kinase-mediated inhibition of myosin phosphatase. Although myosin light chain kinase regulation is initiated by the coupling of receptors to G proteins of the G(q) family, G(q) and G(...

We study graded star products on dual of finite dimensional Lie algebras. We prove that all graded star products are entirely determined by the expression of X ? u where X belongs to the Lie algebra g and u is a polynomial function on the dual g∗ of g. We also consider the Hochschild cohomology and we prove that all graded differential star products are equivalent.

Se denomina medida difusa sobre X a cualquier aplicaci on g P X que sea creciente A B g A g B y que tome los dos valores siguientes g g X Dada cualquier medida difusa g sobre X sumedida dual es la medida difusa g de nida como sigue g A g A A X Es inmediato comprobar que g g por lo que toda medida difusa puede estudiarse junto a su dual denomin andose g autodual en caso de ser g g La mayor a de ...