We obtain large deviation results for non-uniformly expanding maps with non-flat singularities or criticalities and for partially hy-perbolic non-uniformly expanding attracting sets. That is, given a continuous function we consider its space average with respect to a physical measure and compare this with the time averages along orbits of the map, showing that the Lebesgue measure of the set of...

On a previously-digitized map, a series of 685 points were screen-digitized so as to represent major spatial features of each polygon composing 17 forest types having inherently uncertain boundaries; three forest types having precise boundaries were treated as such. From these points and three exact types, surfaces were generated which provided weights of the certainty of having each of the 20 ...

Traditionally, the classes in thematic maps have been treated as crisp sets, using classical set theory. In this formulation, map classes are assumed to be mutually exclusive and exhaustive. This approach limits the ability of thematic maps to represent the continuum of variation found in most landscapes. Substitution of fuzzy sets allows more  exibility for treatment of map classes in the are...

The accuracy of thematic maps derived from remote sensing is often viewed negatively. This reflects difficulties in mapping but also issues connected with accuracy evaluation targets and assessment approaches. This paper focuses on the latter issues suggesting that the widely used target accuracy of 85% may often be inappropriate and that the approach to accuracy assessment adopted commonly in ...

Computing the abelian heap of unpointed stable homotopy classes of maps Abstract An algorithmic computation of the set of unpointed stable homotopy classes of equivariant fibrewise maps was described in a recent paper [4] of the author and his collaborators. In the present paper, we describe a simplification of this computation that uses an abelian heap structure on this set that was observed i...

We obtain large deviation results for non-uniformly expanding maps with non-flat singularities or criticalities and for partially hy-perbolic non-uniformly expanding attracting sets. That is, given a continuous function we consider its space average with respect to a physical measure and compare this with the time averages along orbits of the map, showing that the Lebesgue measure of the set of...

Abstract. We study two-parameter bifurcation diagrams of the generalized Hénon map (GHM), that is known to describe dynamics of iterated maps near homoclinic and heteroclinic tangencies. We prove the nondegeneracy of codim 2 bifurcations of fixed points of GHM analytically and compute its various global and local bifurcation curves numerically. Special attention is given to the interpretation o...