A priori bounds for boundary sets

A Priori Bounds for the Riccati Equation

Since the appearance of [6] and [7], the theory of linear filtering has experienced a renaissance. This theory, although evidently well known to statisticians in terms of "least squares estimates," has found many applications in the early sixties, largely because of the realization and synthesis methods provided in [6] and [7]. For an indication ofsome of the aerospace applications to guidance ...

A Priori Bounds for a Class of Elliptic Operators

A Priori Bounds for Some Infinitely Renormalizable Quadratics: Ii. Decorations

Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements

We prove optimal bounds for the discretization error of geodesic finite elements for variational partial differential equations for functions that map into a nonlinear space. For this we first generalize the well-known Céa lemma to nonlinear function spaces. In a second step we prove optimal interpolation error estimates for pointwise interpolation by geodesic finite elements of arbitrary order...

A Priori Bounds for Some Infinitely Renormalizable Quadratics: Ii. Decorations

A. – A decoration of the Mandelbrot set M is a part of M cut off by two external rays landing at some tip of a satellite copy of M attached to the main cardioid. In this paper we consider infinitely renormalizable quadratic polynomials satisfying the decoration condition, which means that the combinatorics of the renormalization operators involved is selected from a finite family of deco...