BI-LIPSHITZ EMBEDDING OF ULTRAMETRIC CANTOR SETS INTO EUCLIDEAN SPACES JEAN V. BELLISSARD, ANTOINE JULIEN Abstract. Let (C, d) be an ultrametric Cantor set. Then it admits…

FRACTALS AND SELF SIMILARITY JOHN E. HUTCHINSON This is a retyped (TeX’d) version of the article from Indiana University Math- ematics Journal 30 (1981), 713–747 (with…

ContentsPreface to the first editionPreface to the revised editionIntroductionI.1. Algebra of sets. FunctionsI.2. Cardinal numbersI.3 Order relations. Ordinal numbersI.4.…

Slide 1Finding Gold In The Forest …A Connection Between Fractal Trees, Topology, and The Golden Ratio Slide 2 Fractals First used by Benoit Mandelbrot to describe objects…

Slide 1By Thomas Bowditch Slide 2 A fractal is generally, "a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately)…

Part A: Integration (Hilary Term, 2014) Lecturer: Z. Qian (Email: [email protected]) Mathematical Institute, Oxford March 12, 2014 Contents 1 Introduction 2 2 Measure…

0. Prefacio e índice 1. Numbers 2. Functions 3. The Derivative 4. The Riemann Integral 5. The Euclidean n-Space 6. Vector-Valued Functions of a Vector Variable 7. Sequences…

Slide 1 Fractals Complex Adaptive Systems Professor Melanie Moses March 31 2008 Slide 2 – No office hours today – No class Monday 4/14 – Reading for Wednesday: Flake…

CHAOS Todd Hutner Background Classical physics is a deterministic way of looking at things. If you know the laws governing a body, we can predict where it will be at any…

Fractal Project Mariellen Hemmerling Fractals âA fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately)…