Related papers: Combinatorial Invariants from Four Dimensional Lat…

Minor misprints corrected.

The explicit integrability of second order ordinary differential equations invariant under time-translation and rescaling is investigated. Quadratic systems generated from the linearisable version of this class of equations are analysed to…

We give a formula for the crystal structure on the integer points of the string polytopes and the $*$-crystal structure on the integer points of the string cones of type $A$ for arbitrary reduced words. As a byproduct we obtain defining…

The purpose of this note is to correct statements of some assertions in \cite{l}.

This paper has been withdrawn by the authors, since it has been merged with Part I (ID 0802.3570)

We provide a concise exposition with original proofs of combinatorial formulas for the 2D Ising model partition function, multi-point fermionic observables, spin and energy density correlations, for general graphs and interaction constants,…

This paper has been withdrawn by the author(s) and included into the new version of "An extension theorem for separately holomorphic functions with singularities", math.CV/0104089.

The contents of this paper has been incorporated into math.CO/0308288.

We correct some intermediate expressions and arguments in hep-lat/0002009 (Nucl. Phys. B 585 (2000) 471--513). The main results do not change. We also mention some additional observations, including a constraint on a coefficient of the…

We consider the 2D critical Ising model with spatially periodic boundary conditions. It is shown that for a suitable reparametrization of the known Boltzmann weights the transfer matrix becomes a polynomial in the variable $\csc(4u)$, being…

We give explicit versions for some of Ratner's estimates on the decay of matrix coefficients of SL(2,R)-representations.

The content of this paper is now available as part of arXiv:0802.2019

We correct Definition 6.3, Proposition 6.7, and Section 7 in the published version of our paper.

This paper has been withdrawn by the author as it has already been submitted under the title "Twisted character of a small Representation of GL(4)".

This paper has been withdrawn because it is a duplicate of [hep-ph/0609266].

This letter announces and summarizes results obtained in arXiv:1111.5051 and considers several natural extensions. The aforementioned paper proposes a procedure to reconstruct coefficients in a second-order, scalar, elliptic equation from…

Memoir on the Sigma invariants and their applications, version 2

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

Combinatorial interpretation of the fibonomial coefficients recently proposed by the present author results here in combinatorial interpretation of the recurrence relation for fibonomial coefficients . The presentation is provided with…

We extend to the clover improved lattice formulation of QCD the resummation of cactus diagrams, i.e. a certain class of tadpole-like gauge invariant diagrams. Cactus resummation yields an improved perturbative expansion. We apply it to the…