We prove a 2018 conjecture of Krawchuk and Rampersad on the extremal behavior of $c(n)$, where $c(n)...
The authors thank Dick Askey for helpful com- ments, particularly relating to the identities in Sect...
Two infinite words that are connected with some significant univoque numbers are studied. It is show...
AbstractSome combinatorial properties of the special factors of the Thue–Morse sequence in a two-let...
AbstractThe p-rarefied subsequences of the well-known Thue-Morse sequence are those indexed by arith...
AbstractGiven two words u and υ, the binomial coefficient (uυ) is the number of ways υ appears as a ...
The paper summarizes properties of topological and sequence en- tropy of the Morse shift $X_\M$ gene...
AbstractWe show that the proportion of the Morse sequence which can be tiled by one word is exactly ...
peer reviewedThe Thue-Morse set T is the set of those non-negative integers whose binary expansions ...
AbstractWord chains are an extension of addition chains to words and can be used as a complexity mea...
We prove that Thue–Morse constant τTM=0.01101001…2 is not a badly approximable number. Moreover, we ...
We study the moments of even order of the generating function 0≤r<n (1 − e(2 r x)) of the Thue-Morse...
Abstract Three variations on the Stern-Brocot sequence are related to the celebrated Thue-Morse seq...
In this dissertation, we discuss properties of the family of sequences $\mathbf{u_d} = \{u_d(n)\}_{n...
In this paper we extend and generalize, up to a natural bound of the method, our previous work Badz...
We prove a 2018 conjecture of Krawchuk and Rampersad on the extremal behavior of $c(n)$, where $c(n)...
The authors thank Dick Askey for helpful com- ments, particularly relating to the identities in Sect...
Two infinite words that are connected with some significant univoque numbers are studied. It is show...
AbstractSome combinatorial properties of the special factors of the Thue–Morse sequence in a two-let...
AbstractThe p-rarefied subsequences of the well-known Thue-Morse sequence are those indexed by arith...
AbstractGiven two words u and υ, the binomial coefficient (uυ) is the number of ways υ appears as a ...
The paper summarizes properties of topological and sequence en- tropy of the Morse shift $X_\M$ gene...
AbstractWe show that the proportion of the Morse sequence which can be tiled by one word is exactly ...
peer reviewedThe Thue-Morse set T is the set of those non-negative integers whose binary expansions ...
AbstractWord chains are an extension of addition chains to words and can be used as a complexity mea...
We prove that Thue–Morse constant τTM=0.01101001…2 is not a badly approximable number. Moreover, we ...
We study the moments of even order of the generating function 0≤r<n (1 − e(2 r x)) of the Thue-Morse...
Abstract Three variations on the Stern-Brocot sequence are related to the celebrated Thue-Morse seq...
In this dissertation, we discuss properties of the family of sequences $\mathbf{u_d} = \{u_d(n)\}_{n...
In this paper we extend and generalize, up to a natural bound of the method, our previous work Badz...
We prove a 2018 conjecture of Krawchuk and Rampersad on the extremal behavior of $c(n)$, where $c(n)...
The authors thank Dick Askey for helpful com- ments, particularly relating to the identities in Sect...
Two infinite words that are connected with some significant univoque numbers are studied. It is show...