Mikhail Rubinchik

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We prove that a random word of length n over a k-ary fixed alphabet contains, on expectation , Θ(√ n) distinct palindromic factors. We study this number of factors, E(n, k), in detail, showing that the limit lim n→∞ E(n, k)/ √ n does not exist for any k ≥ 2, lim inf n→∞ E(n, k)/ √ n = Θ(1), and lim sup n→∞ E(n, k)/ √ n = Θ(√ k). Such a complicated behaviour(More)
Given a language L that is online recognizable in linear time and space, we construct a linear time and space online recognition algorithm for the language L · Pal, where Pal is the language of all nonempty palindromes. Hence for every fixed positive k, Pal k is online recognizable in linear time and space. Thus we solve an open problem posed by Galil and(More)
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