{"product_id":"self-similar-energies-on-finitely-ramified-roberto-peirone-9789819809141","title":"Self-Similar Energies on Finitely Ramified Fractals","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eOn 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.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eAnalysis 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.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Roberto Peirone\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9819809142\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789819809141\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/04\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 492\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.81lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 1.06d","brand":"Roberto Peirone","offers":[{"title":"Hardcover","offer_id":47579967717631,"sku":"9789819809141","price":158.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_0d9b24d0-5dde-488f-bdcf-731e61d3032d.jpg?v=1763877875","url":"https:\/\/www.whiterainbookhouse.com\/products\/self-similar-energies-on-finitely-ramified-roberto-peirone-9789819809141","provider":"WR Book House","version":"1.0","type":"link"}