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Reference.org
Kolmogorov continuity theorem
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the Kolmogorov continuity theorem is a <a href="/facts/Theorem/f2Pe1FMD">theorem</a> that guarantees that a <a href="/facts/Stochastic_process/Ng1n1dnB">stochastic process</a> that satisfies certain constraints on the <a href="/facts/Moment_(mathematics)/GL7vJ1nb">moments</a> of its increments will be continuous (or, more precisely, have a "continuous version"). It is credited to the <a href="/facts/Soviet_Union/m7wWsPto">Soviet</a> <a href="/facts/Mathematician/eaFSR8Fx">mathematician</a> <a href="/facts/Andrey_Kolmogorov/bEKwtrs6">Andrey Nikolaevich Kolmogorov</a>. </p>