We consider perturbations of integrable, area preserving non-twist maps of the annulus (those are maps that violate the twist condition in a very strong sense: @q 0 =@p changes sign). These maps appear in a variety of applications, notably transport in atmospheric Rossby waves. We show in suitable 2-parameter families the persistence of critical circles (invariant circles whose rotation number ...

We consider perturbations of integrable, area preserving non-twist maps of the annulus (those are maps in which the twist condition changes sign). These maps appear in a variety of applications, notably transport in atmospheric Rossby waves. We show in suitable 2-parameter families the persistence of critical circles (invariant circles whose rotation number is the maximum of all the rotation nu...

We consider perturbations of integrable area preserving non twist maps of the annulus those are maps in which the twist condition changes sign These maps appear in a variety of applications notably transport in atmospheric Rossby waves We show in suitable parameter families the persistence of critical circles invariant circles whose rotation number is the maximum of all the rotation numbers of ...

The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k. Therefore its efficiency depends on the scalar multiplications. Among the fast scalar multiplication methods, there is a method using a Frobenius map. It uses a Jacobian defined over an extension field of the definit...

Let R be an o-minimal field with a proper convex subring V . We axiomatize the class of all structures (R, V ) such that kind, the corresponding residue field with structure induced from R via the residue map, is o-minimal. More precisely, in [8] it was shown that certain first order conditions on (R, V ) are sufficient for the o-minimality of kind. Here we prove that these conditions are also ...

This article explores how sharing and listening to stories linked children young people, educators, artists, civil society workers, policymakers as part of a continuum transitional justice processes in the aftermath conflict Mobile Arts for Peace (MAP) initiative. We argue that within peace education context can potentially help address everyday conflicts personal social wounds, often due resid...

I discuss an old result of John Milnor stating roughly that if a closed curve in space is not too curved then it cannot be knotted. CONTENTS 1. The total curvature of a polygonal curve 1 2. A probabilistic interpretation of the total curvature 2 3. The total curvature of a smooth closed curve 4 4. Total curvature and knotting 6 References 7 1. THE TOTAL CURVATURE OF A POLYGONAL CURVE An (orient...

The Equichordal Point Problem can be formulated in simple geometric terms. If C is a Jordan curve on the plane and P; Q 2 C then the segment PQ is called a chord of the curve C. A point inside the curve is called equichordal if every two chords through this point have the same length. The question was whether there exists a curve with two distinct equichordal points O 1 and O 2. The problem was...

BACKGROUND AND PURPOSE Information has been sparse on the comparison of pulse pressure (PP) and mean arterial pressure (MAP) in relation to ischemic stroke among patients with uncontrolled hypertension. The present study examined the relation among PP, MAP, and ischemic stroke in uncontrolled hypertensive subjects in China. METHODS A total of 6104 uncontrolled hypertensive subjects aged > or ...

Write OK for the valuation ting, MK for the maximal ideal of K and kK for the residue field. Let us fix $ some uniformizer of K. We denote by acm : K → OK/(MK) the map sending some nonzero x ∈ K to x$−ord(x) mod MK , and sending zero to zero. This is a definable map. We denote by RV the union of K×/(1 +MK) and {0} and by rv : K → RV the quotient map. More generally, if m ∈ N∗, we set RVm = K×/(...