Matija Vidmar: A nonclassical solution to a classical SDE and a converse to Kolmogorov's zero-one law
Source: Seminar for probability, statistics, and financial mathematics
V četrtek, 5. marca, ob 14:15 bo v predavalnici 3.06 Fakultete za matematiko in fiziko Univerze v Ljubljani na Jadranski ulici 21 v Ljubljani potekalo predavanje Matije Vidmarja z naslovom A nonclassical solution to a classical SDE and a converse to Kolmogorov's zero-one law.
Povzetek: For a (the simplest) discrete-negative-time discrete-space stochastic differential equation, which admits no strong solution in the classical sense, a weak solution is constructed that is a (necessarily nonmeasurable) non-anticipative function of the driving i.i.d. noise. En route one - quite literally - stumbles upon a converse to the celebrated Kolmogorov's zero-one law for sequences with independent values.