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In this paper we investigate some results of ergodic theory with infinite measures for a subshift of finite type. We give an explicit way to construct σ-finite measures which are quasi-invariant by the stable holonomy and equivalent to the conditional measures of some σ-invariant measure. These...
We study timelike surfaces in Anti de Sitter 3-space as an application of singularity theory. We define two mappings associated to a timelike surface which are called Anti de Sitter nullcone Gauss image and Anti de Sitter torus Gauss map. We also define a family of functions named Anti de Sitter...
The isomorphism structure of the maximal divisible subgroup of the subgroup V
(R(G); H) Id R(G) of the normalized unit group V R(G) in a commutative group ring R(G) is completely described only in terms of R, G and H whenever R is a commutative unital ring of prime characteristic p and G is a...
F: ℝ2 → ℝ2 is an almost-area-preserving map if: (a) F is a topological embedding, not necessarily surjective; and (b) there exists a constant s > 0 such that for every measurable set B, µ(F(B)) = sµ(B) where µ is the Lebesgue measure. We study when a differentiable map whose Jacobian determinant...
According to a theorem by Lagrange, the continued fractions of quadratic surds are periodic. Their periods may have different types of symmetries. This work relates these types of symmetries to the symmetries of the classes of the corresponding indefinite quadratic forms. This allows classifying...
We study C
1-generic diffeomorphisms with a homoclinic class with non empty interior and in particular those admitting a codimension one dominated splitting. We prove that if in the finest dominated splitting the extreme subbundles are one dimensional then the diffeomorphism is partially...
In this paper we study the topological properties of integral curves of a system of implicit differential equations associated to rarefaction curves of a system of three conservation laws. This system of equations becomes singular at the points of eigenvalue of multiplicity greater or equal to...
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