Kolmogorov continuity theorem: Difference between revisions

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==Example==

In the case of [[Brownian motion]] on <math>\mathbb{R}^n</math>, the choice of constants <math>\alpha = 4</math>, <math>\beta = 1</math>, <math>K = n (n + 2)</math> will work in the Kolmogorov continuity theorem. Moreover, for any positive integer <math>m</math>, the constants <math>\alpha = 2m</math>, <math>\beta = m-1</math> will work, for some positive value of <math>K</math> that depends on <math>n</math> and <math>m</math>.

==See also==

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==References==

* {{cite book | author= Daniel W. Stroock, S. R. Srinivasa Varadhan | authorlink=Daniel W. Stroock, S. R. Srinivasa Varadhan | title=Multidimensional Diffusion Processes | publisher=Springer, Berlin | year=1997 | isbn=978-3-662-22201-0}} p.&nbsp;51

[[Category:Theorems regarding stochastic processes]]