37 citations · 180 across the 24 of their papers we have counts for
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cs.CL2023★ 3 cited
Corrections of Zipf's and Heaps' Laws Derived from Hapax Rate Models
Łukasz Dębowski
The article introduces corrections to Zipf's and Heaps' laws based on systematic models of the proportion of hapaxes, i.e., words that occur once. The derivation rests on two assum…
cs.IT2023
Repetition and recurrence times: Dual statements and summable mixing rates
Łukasz Dębowski
By an analogy to the duality between the recurrence time and the longest match length, we introduce a quantity dual to the maximal repetition length, which we call the repetition t…
cs.IT2023★ 3 cited
Multiperiodic Processes: Ergodic Sources with a Sublinear Entropy
Łukasz Dębowski
Several explicit stochastic processes are known to satisfy Hilberg's law, a power-law growth of block entropy conjectured for natural language and recently connected to the neural…