Einstein proved that the mean square displacement of Brownian motion is proportional to time. He also proved that the diffusion constant depends on the mass and on the conductivity (sometimes referred to Einsteina (TM)s relation). The main aim of this book is to reveal similar connections between the physical and geometric properties of space and diffusion. This is done in the context of random walks in the absence of algebraic structure, local or global spatial symmetry or self-similarity. The author studies the heat diffusion at this general level and discusses the following topics: OL OL LIThe multiplicative Einstein relation, /LI LIIsoperimetric inequalities, /LI LIHeat kernel estimates/LI LIElliptic and parabolic Harnack inequality./LI /OL/OL
發表於2024-12-29
The Art of Random Walks 2024 pdf epub mobi 電子書 下載
圖書標籤: 計算機科學 數學 of Walks The Springer Random Art
The Art of Random Walks 2024 pdf epub mobi 電子書 下載