It takes the average reader 1 hour and 47 minutes to read On the Geometry of Diffusion Operators and Stochastic Flows by K.D. Elworthy
Assuming a reading speed of 250 words per minute. Learn more
Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (sub)-Riemannian structure. This is systematically described, together with its invariants, and then exploited to discuss qualitative properties of stochastic flows, and analysis on path spaces of compact manifolds with diffusion measures. This should be useful to stochastic analysts, especially those with interests in stochastic flows, infinite dimensional analysis, or geometric analysis, and also to researchers in sub-Riemannian geometry. A basic background in differential geometry is assumed, but the construction of the connections is very direct and itself gives an intuitive and concrete introduction. Knowledge of stochastic analysis is also assumed for later chapters.
On the Geometry of Diffusion Operators and Stochastic Flows by K.D. Elworthy is 105 pages long, and a total of 26,775 words.
This makes it 35% the length of the average book. It also has 33% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 26 minutes to read On the Geometry of Diffusion Operators and Stochastic Flows aloud.
On the Geometry of Diffusion Operators and Stochastic Flows is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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