Related papers: The Slope Polynomial and Collinear Points in Permu…

This paper has been withdrawn by the authors due to a fatal flaw in the central proof.

In this paper we present an explicit formula for the number of permutations with a given number of alternating descents. Moreover, we study the interlacing property of the real parts of the zeros of the generating polynomials of these…

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

This paper has been withdrawn by the author, due an error in claim 1.

The paper has been withdrawn by the author, due to a critical error stemming from the defined template.

We prove limit theorems for the number of fixed points, descents, and inversions of iterated random-to-top shuffles in two asymptotic regimes. Our proofs are analytic, and they utilize new combinatorial decompositions that represent each…

We study some structural aspects of the evolution equations with Pomeron loops recently derived in QCD at high energy and for a large number of colors, with the purpose of clarifying their probabilistic interpretation. We show that, in…

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

This paper has been withdrawn by the author due to a crucial error in equation (51).

This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.

Starting from some considerations we make about the relations between certain difference statistics and the classical permutation statistics we study permutations whose inversion number and excedance difference coincide. It turns out that…

This paper is withdrawn because of an error in Lemma 3.1

The paper has been withdrawn

This paper has been withdrawn by the author due to a mistake.

In [1] we highlighted the fact that the log polynomial expansion employed in Nature Astron. 3, no.3, 272-277 (2019) [2] is a poor approximation to flat $\Lambda$CDM, so using it to infer deviations from flat $\Lambda$CDM is not…

The slope conjecture proposed by Garoufalidis asserts that the Jones slopes given by the sequence of degrees of the colored Jones polynomials are boundary slopes. We verify the slope conjecture for graph knots, i.e. knots whose Gromov…

This paper has been withdrawn by the author due to an error

This paper has been withdrawn due to an error in the proof of Theorem 5.3.

We have withdrawn this paper due to a fatal flaw in eqn(38).

This paper has been withdrawn by the author due to a crucial sign error in equation 1.