Let F be a singular Riemannian foliation on a compact Riemannian manifold M . By successive blow-ups along the strata of F we construct a regular Riemannian foliation F̂ on a compact Riemannian manifold M̂ and a desingularization map ρ̂ : M̂ → M that projects leaves of F̂ into leaves of F . This result generalizes a previous result due to Molino for the particular case of a singular Riemannian folia...

Let X,, X,,. be a sequence of regular graphs with degree ~a2 such that n(X,)cc and ck(X,)/n(X,)-0 as i -cc for each ka3, where n(X,) is the order of Xi, and ck( X,) is the number of k-cycles in Xi. We determine the limiting probability density f(x) for the eigenvalues of X, as i-cc. It turns out that i o/4(“-1)-x” f(x)= 2n(u”_x’) for IrlG2JFi, IO otherwise It is further shown that f(x) is the e...

Bernd Amann INRIA F-78153 Le Chesnay Cedex, France Michel Scholl Cedric/CNAM 292 rue St Martin, F-75141 Paris Cedex 03, France Abstract We present a model for data organized as graphs. Regular expressions over the types of the node and edge labels are used to qualify connected subgraphs. An algebraic language based on these regular expressions and supporting a restricted form of recursion is in...

The estimation of a scalar function f using a regular grid has been extensively used in image analysis. This amounts to approximate f by a linear combination of known basis functions. However, this approach is usually not efficient. This paper proposes a more efficient algorithm, based on the use of a non regular grid, which achieves better accuracy with less basis functions. Experimental resul...

We study irreducible odd mod p Galois representations ?¯:Gal(F??F)?G(F?p), for F a totally real number field and G general reductive group. For p?G,F0, we show that any ?¯ lifts locally, at places above to de Rham Hodge–Tate regular representations, has geometric p-adic lift. also prove non-geometric lifting results without oddness assumption.

11. Assume that (ρ, V ) is an irreducible regular representation of the linear algebraic group G. Fix v∗ ∈ V ∗ with v∗ 6= 0. For v ∈ V let φv ∈ Aff(G) be the representative function φv(g) = 〈v∗, ρ(g)v〉. Let E = {φv : v ∈ V } and let T : V → E be the map Tv = φv. Prove that T is a bijective linear map and that Tρ(g) = R(g)T for all g ∈ G, where R(g)f(x) = f(xg) for f ∈ Aff(G). Thus every irreduc...

let $r$ be an associative ring with identity. an element $x in r$ is called $mathbb{z}g$-regular (resp. strongly $mathbb{z}g$-regular) if there exist $g in g$, $n in mathbb{z}$ and $r in r$ such that $x^{ng}=x^{ng}rx^{ng}$ (resp. $x^{ng}=x^{(n+1)g}$). a ring $r$ is called $mathbb{z}g$-regular (resp. strongly $mathbb{z}g$-regular) if every element of $r$ is $mathbb{z}g$-regular (resp. strongly $...

This paper presents the modifications in automatic Lexical Functional Grammar development technique. It proposes a new syntax customized from base syntax pattern of a regular expression based CFG template. This modification is helpful to add generalization in these templates with the coordination of constraint solver of LFG parsers. Further this paper reports the results of the system that has ...

For a subgroup of PGL(2,q) we show how some irreducible polynomials over Fq arise from the field invariant rational functions. The proofs rely on combining two actions PGL(2,F), one projective line F and other function F(x). functions in F(x) are used to that regular patterns exist factorization certain into polynomials. We use results about group orbit polynomial, whose included.