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Parametrix techniques and martingale problem for some degenerate Kolmogorov's equations
Parametrix techniques martingale problem degenerate Kolmogorov's equations
2010/11/15
We prove the uniqueness of the martingale problem associated to some degenerate operators. The key point is to exploit the strong parallel between the new technique introduced by Bass and Perkins (Fr...
Kolmogorov complexity, Lovasz local lemma and critical exponents
Kolmogorov complexity Lovasz local lemma critical exponents
2010/12/13
D. Krieger and J. Shallit have proved that every real number greater than 1 is a critical exponent of some sequence [1].We show how this result can be derived from some general statements about sequen...
Forbidden substrings, Kolmogorov complexity and almost periodic sequences
Forbidden substrings Kolmogorov complexity almost periodic sequences
2010/12/10
Assume that for some < 1 and for all nutural n a set Fn of at most 2 n “forbidden” binary strings of length n is fixed. Then there exists an infinite binary sequence ! that does not have (long) forb...