Geometric modeling in probability and statistics, by O. Calin and C. Udriste, Spring-
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چکیده
The geometric ideas developed in the 19th century still exert a fundamental influence on modern mathematics. This is especially true in theoretical and mathematical physics, including the areas of special and general relativity, tensor analysis in mechanics and hydrodynamics, and discrete and continuum groups in solid state and quantum theories. In the more analytic branches of mathematics, the process of “geometrization” has been much slower. For instance, in the famous paper by A. N. Kolmogrov [4], “On analytic methods in probability theory”, the generator for a diffusion process in R was written in the form
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