{"product_id":"selfsimilar-and-selfaffine-sets-and-measures-9781470470463","title":"Selfsimilar and Selfaffine Sets and Measures","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWhile there is no precise definition of a fractal, it is usually understood as a set whose smaller parts when magnified resemble the whole. Suitable for a wide audience of mathematicians, this book is devoted to self-similar and self-affine sets, for which this resemblance is precise and given by a contracting similitude or affine transformation.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eElements of geometric measure theory\u003c\/li\u003e\n\u003cli\u003eGeneral properties of self-similar sets and measures\u003c\/li\u003e\n\u003cli\u003eSeparation properties for self-similar IFS\u003c\/li\u003e\n\u003cli\u003eMultifractal analysis for self-similar measures\u003c\/li\u003e\n\u003cli\u003eTransversality techniques for self-similar IFS\u003c\/li\u003e\n\u003cli\u003eFurther properties of self-similar IFS with overlaps\u003c\/li\u003e\n\u003cli\u003eFourier-analytic and number-theoretic methods\u003c\/li\u003e\n\u003cli\u003eElements of ergodic theory\u003c\/li\u003e\n\u003cli\u003eSelf-affine sets and measures\u003c\/li\u003e\n\u003cli\u003eDiagonally self-affine IFS\u003c\/li\u003e\n\u003cli\u003eExact dimensionality and dimension conservation\u003c\/li\u003e\n\u003cli\u003eLocal entropy averages and projections of self-affine sets and measures\u003c\/li\u003e\n\u003cli\u003eNonlinear conformal iterated functions systems\u003c\/li\u003e\n\u003cli\u003eSome elements of linear algebras\u003c\/li\u003e\n\u003cli\u003eSome elements of measure theory\u003c\/li\u003e\n\u003cli\u003eSome elements of harmonic analysis\u003c\/li\u003e\n\u003cli\u003eSome acts about algebraic numbers\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003cli\u003eBasic notation\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50046690132311,"sku":"9781470470463","price":103.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470470463.jpg?v=1740272312","url":"https:\/\/bookcurl.com\/products\/selfsimilar-and-selfaffine-sets-and-measures-9781470470463","provider":"Book Curl","version":"1.0","type":"link"}