Propagation property is a technical word in the study of partial differential equations.
It is closely related with a phenomena of conduction of heat. Particulary explaining from the view of probability theory, by giving a time-homogeneous Markov process, we can make a function which has propargation property. It can lead us to several application in our dairy life. More detail, As a qunatitive engineering in finance, we can generate a lot of interest rate model by using propagation property. Of course, this approach is, I think, new challenging in the field of mathematical finance, but it has alot to offer. That is why many researchers would be interested in it for the time being.
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