{"product_id":"pierone-roberto-self-similar-energies-on-finitely-ramified-fractals-9789819809141","title":"SELF-SIMILAR ENERGIES ON FINITELY RAMIFIED FRACTALS","description":"This monograph delves into the theory of self-similar energies on finitely ramified self-similar fractals. Using these self-similar energies, one can construct Laplacians, harmonic functions, Brownian motion, and differential equations specific to these fractals.\n\u003cbr\u003e\nOn finitely ramified fractals, self-similar energies are derived from eigenforms - quadratic forms that are eigenvectors of a special nonlinear operator within a finite-dimensional function space. The monograph also explores conditions for the existence and uniqueness of these self-similar energies and addresses related problems. For certain cases, complete solutions are provided.\n\u003cbr\u003e\nAnalysis on fractals began to take shape as a mathematical field in the late 1980s. Traditionally, the focus of analysis has been on finitely ramified fractals - those in which copies intersect at only finitely many points. To date, a comprehensive theory for infinitely ramified fractals remains elusive.","brand":"World Scientific","offers":[{"title":"Default Title","offer_id":53994607083862,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0925\/5829\/5382\/files\/product_image_9789819809141_1.jpg?v=1783340504","url":"https:\/\/www.momoxbooks.com\/products\/pierone-roberto-self-similar-energies-on-finitely-ramified-fractals-9789819809141","provider":"momoxbooks","version":"1.0","type":"link"}