Approximate symmetric derivative and monotonicity
Approximately additive set functions
Approximating distribution functions by iterated function systems.
Approximating pavings and construction of measures
Approximating Radon measures on first-countable compact spaces
The assertion every Radon measure defined on a first-countable compact space is uniformly regular is shown to be relatively consistent. We prove an analogous result on the existence of uniformly distributed sequences in compact spaces of small character. We also present two related examples constructed under CH.
Approximation and cohomology vanishing properties of low-dimensional compact sets in a Stein manifold.
Approximation of smooth functions and covering properties of sets
Approximations of continuous Newton's method: an extension of Cayley's problem.
Approximative limit and related notions
Some notions of limit weaker than the topological one are studied.
Are most measurable functions one-to-one?
Arithmetic based fractals associated with Pascal's triangle.
Our goal is to study Pascal-Sierpinski gaskets, which are certain fractal sets defined in terms of divisibility of entries in Pascal's triangle. The principal tool is a carry rule for the addition of the base-q representation of coordinates of points in the unit square. In the case that q = p is prime, we connect the carry rule to the power of p appearing in the prime factorization of binomial coefficients. We use the carry rule to define a family of fractal subsets Bqr of the unit square, and we...
Aronszajn orderings.
Arzela - Ascoli's Theorem for Riemann - Integrable Functions on Compact Spaces.
Asimptotic Distribution and Weak Convergence on Compact Riemannian Manifolds.
Asymptotic distribution of coordinates on high dimensional spheres.
Asymptotic periodicity of Markov operators on signed measures
A new criterion of asymptotic periodicity of Markov operators on , established in [3], is extended to the class of Markov operators on signed measures.
Asymptotic stability of a linear Boltzmann-type equation
We present a new necessary and sufficient condition for the asymptotic stability of Markov operators acting on the space of signed measures. The proof is based on some special properties of the total variation norm. Our method allows us to consider the Tjon-Wu equation in a linear form. More precisely a new proof of the asymptotic stability of a stationary solution of the Tjon-Wu equation is given.
Asyptotic Behaviour of Multiperiodic Functions G(x) = ... g (x/2...).
Atomic surfaces, tilings and coincidences II. Reducible case
The atomic surfaces of unimodular Pisot substitutions of irreducible type have been studied by many authors. In this article, we study the atomic surfaces of Pisot substitutions of reducible type.As an analogue of the irreducible case, we define the stepped-surface and the dual substitution over it. Using these notions, we give a simple proof to the fact that atomic surfaces form a self-similar tiling system. We show that the stepped-surface possesses the quasi-periodic property, which implies that...
Atoms of a Group Valued Measures