{"product_id":"self-similar-energies-on-finitely-ramified-fractals","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.On 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.Analysis 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 Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":56796814377304,"sku":"9789819809141","price":179.8,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9789819809141_b13730df-0454-427a-abbc-090c594b5338.jpg?v=1778328938","url":"https:\/\/agendabookshop.com\/products\/self-similar-energies-on-finitely-ramified-fractals","provider":"Agenda Bookshop","version":"1.0","type":"link"}