{"product_id":"9789819809141","title":"Self-similar Energies on Finitely Ramified Fractals (Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications)","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.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.\u003c\/p\u003e","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48258069364971,"sku":"00000_00000_00000_00000","price":289.32,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0758\/4484\/5803\/files\/9789819809141-1.jpg?v=1781771972","url":"https:\/\/kinokuniya.com.sg\/products\/9789819809141","provider":"Books Kinokuniya Singapore","version":"1.0","type":"link"}