Attainable lengths for circular binary words avoiding k-powers

We show that binary circular words of length n avoiding 7/3+ powers exist for every sufficiently large n. This is not the case for binary circular words avoiding k+ powers with k < 7/3https://projecteuclid.org/download/pdf_1/euclid.bbms/113379334

Dynamical study of viscous modified Chaplygin gas and confrontation with recent observational data

Abstract A cosmological Model of viscous modified Chaplygin gas in classical and loop quantum cosmology (LQC) is proposed and a dynamical stability study is investigated. It is shown that the model is consistent with the recent observational data and gives good predictions for the deceleration and state parameters. The model can also predict the time crossing and gives a solution to the coincidence problem. Furthermore, in LQC background, the big bang singularity found in classical cosmology cease to exist and is replaced by a bounce when the Hubble parameter vanishes at the LQC critical energy density.</jats:p

A cyclic binary morphism avoiding Abelian fourth powers

AbstractWe exhibit a cyclic binary morphism avoiding Abelian fourth powers

There Exist Binary Circular 5/2+5/2^+ Power Free Words of Every Length

We show that there exist binary circular $5/2^+$ power free words of every length. </jats:p

The Thue–Morse word contains circular 5/2+ power free words of every length

AbstractA word is circular 5/2+ power free if none of its conjugates has period less than 25 of its length. We show that the Thue–Morse word contains words of every length which are circular 5/2+ power free

There Exist Binary Circular 5/2+ Power Free Words of Every Length

We show that there exist binary circular 5=2 power free words of every length