Editorial n. 30

30-40 N

programmed, then this implies that definite molecular alterations on the level of transcription or translation should be observable, and furthermore, it should be possible (theoretically at least) to accelerate, decelerate, or even reverse these events by the appropriate manipulation of molecular events. Furthermore, we would expect that naturally-occurring mutations may occasionally hit upon s...

Dejean's conjecture holds for n>=30

We extend Carpi’s results by showing that Dejean’s conjecture holds for n ≥ 30. The following definitions are from sections 8 and 9 of [1]: Fix n ≥ 30. Let m = ⌊(n− 3)/6⌋. Let Am = {1, 2, . . . , m}. Let ker ψ = {v ∈ A ∗ m|∀a ∈ Am, 4 divides |v|a}. (In fact, this is not Carpi’s definition of ker ψ, but rather the assertion of his Lemma 9.1.) A word v ∈ A+m is a ψ-kernel repetition if it has per...

Editorial

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Editorial

Editorial

No abstract