相关论文: There are exponentially many ternary words that av…

The paper has been withdrawn due to a crucial error in section 3.

We study infinite ternary words that contain few distinct palindromes. In particular, we classify such words according to their critical exponent.

An abelian square is the concatenation of two words that are anagrams of one another. A word of length $n$ can contain $\Theta(n^2)$ distinct factors that are abelian squares. We study infinite words such that the number of abelian square…

After receiving a number of comments and reviews from our colleagues who have suggested that our results could be greatly improved by other methods of extrapolation, we have decided to withdraw our paper entitled "Absence of…

This paper has been withdrawn by author due to an error in the proof.

This paper has been withdrawn by the authors, due a crucial error in Sec. 3.

This paper has been withdrawn by the author due to a crucial error.

We find finite-state recurrences to enumerate the words on the alphabet $[n]^r$ which avoid the patterns 123 and $1k(k-1)\dots2$, and, separately, the words which avoid the patterns 1234 and $1k(k-1)\dots2$.

This article has been withdrawn due to an error in a proof of the main result.

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

This paper has been withdrawn by the author due to an erro thereon line -2 of page 4.

We prove the non-existence of recurrent words with constant Abelian complexity containing 4 or more distinct letters. This answers a question of Richomme et al.

The paper has been withdrawn.

In the previous version of the paper it was announced that ``sphere homeomorphic flexible polyhedra (with self intersections) do really exist in n-dimensional Euclidean, Lobachevskij and spherical spaces for each $n\geq 3$.'' Now the paper…

The paper is withdrawn due to some errors.

This paper has been withdrawn by the authors due to the crucial wrong assumption following Eq. 9.

This paper has been withdrawn by the author because there are some typos in proofs.

This paper has been withdrawn due to an error, and no further revisions will be made.

This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.

This paper has been withdrawn due to a critical error discovered in Theorem 4.21. Anyone with a historical or pragamatic interest in prior "negative results", however - e.g., failed proof attempts relating to the (in)consistency of ZF or…