A multicompotlent "anti-Widom-Rowlinson" lattice gas is introduced. An arbitrary number M of particle types is permitted, all having the same activity. The only interactions are nearest-neighbor exclusions of like particles (analogous to map-coloring problems). For any lattice it is shown that there is a finite number M0 (depending onty on the coordination number of the lattice) such that for a...

We describe a set of periodic lattices in 1+1 -dimensional Minkowski space, where each lattice has an associated symmetry group consisting of inhomogeneous Lorentz transformations that map the lattice onto itself. Our results show how ideas of crystal structure in Euclidean space generalize to Minkowski space and provide an example that illustrates basic concepts of spacetime symmetry. © 2010 A...

In the context of a general lattice ? in R n and a strictly expanding map M which preserves the lattice, we characterize all the wavelet families, all the MSF wavelets, all the multiwavelets associated with a Multiresolution Analysis (MRA) of multiplicity d 1; and all the scaling functions. Moreover , we give several examples: in particular, we construct a single, MRA and C 1 (R n) wavelet, whi...

We extend the Billera–Ehrenborg–Readdy map between the intersection lattice and face lattice of a central hyperplane arrangement to affine and toric hyperplane arrangements. For toric arrangements, we also generalize Zaslavsky’s fundamental results on the number of regions. Résumé. Nous étendons l’opérateur de Billera–Ehrenborg–Readdy entre la trellis d’intersection et la trellis de faces d’un ...

This paper proposes a chaos-based image encryption scheme where one 3D skew tent map with three control parameters is utilized to generate chaotic orbits applied to scramble the pixel positions while one coupled map lattice is employed to yield random gray value sequences to change the gray values so as to enhance the security. Experimental results have been carried out with detailed analysis t...

Scalar multidimensionally consistent quadrilateral lattice equations are studied. We explore a confluence between the superposition principle for solutions related by the Bäcklund transformation, and the method of solving a Riccati map by exploiting two known particular solutions. This leads to an expression for the N -soliton-type solutions of a generic equation within this class. As a particu...

In the context of a general lattice Γ in Rn and a strictly expanding map M which preserves the lattice, we characterize all the wavelet families, all the MSF wavelets, all the multiwavelets associated with a Multiresolution Analysis (MRA) of multiplicity d ≥ 1, and all the scaling functions. Moreover, we give several examples: in particular, we construct a single, MRA and C∞(Rn) wavelet, which ...

In this note, we provide fixed-point characterizations for two solution concepts in finite games: bestresponse sets (BRS’s) and self-admissible sets (SAS’s). The BRS concept is due to Pearce [7, 1984]. The SAS concept is a weak-dominance analog to a BRS, and is due to BrandenburgerFriedenberg-Keisler [4, 2006]. BRS’s are important because they characterize the epistemic condition of rationality...

The adaptive adjustment mechanism is applied to the stabilization of an internally coupled map lattice system defined by xi,t+1 = G((1 − αi − βi)xi,t + αixi+1,t + βixi−1,t), where f : R → R is a nonlinear map, and α and β are nonnegative coupling constants that satisfy the constraint αi +βi < 1, for all x ∈ R, i= 1,2, . . . ,n. Sufficient conditions and ranges of adjustment parameters that guar...

In this paper, we propose an Adaptive Lattice Model (ALM) for simplifying linear features of geographic data. An ALM, based on spatial constraints or the target resolution of the data to be created, represents spatial data by latticing adaptively the spatial space at the target resolution and omitting all details smaller or finer than the resolution. Out of two implementations of ALM, this pape...