Irregular isomonodromic deformations for Garnier systems and Okamoto's canonical transformations

In this paper we describe the Garnier systems as isomonodromic deformation equations of a linear system with a simple pole at zero and a Poincar\'e rank two singularity at infinity. We discuss the extension of Okamoto's birational canonical transformations to the Garnier systems in more than one variable and to the Schlesinger systems.Comment: 17 page

On the Reductions and Classical Solutions of the Schlesinger equations

The Schlesinger equations $S_{(n,m)}$ describe monodromy preserving deformations of order $m$ Fuchsian systems with $n+1$ poles. They can be considered as a family of commuting time-dependent Hamiltonian systems on the direct product of $n$ copies of $m\times m$ matrix algebras equipped with the standard linear Poisson bracket. In this paper we address the problem of reduction of particular solutions of ``more complicated'' Schlesinger equations $S_{(n,m)}$ to ``simpler'' $S_{(n',m')}$ having $n'< n$ or $m' < m$.Comment: 32 pages. To the memory of our friend Andrei Bolibruc

Commuting families in Hecke and Temperley-Lieb algebras

Abstract We define analogs of the Jucys-Murphy elements for the affine Temperley-Lieb algebra and give their explicit expansion in terms of the basis of planar Brauer diagrams. These Jucys-Murphy elements are a family of commuting elements in the affine Temperley-Lieb algebra, and we compute their eigenvalues on the generic irreducible representations. We show that they come from Jucys-Murphy elements in the affine Hecke algebra of type A, which in turn come from the Casimir element of the quantum group . We also give the explicit specializations of these results to the finite Temperley-Lieb algebra.12

Direct and compound-nucleus reaction mechanisms in the Be 7 + Ni 58 system at near-barrier energies

The energy and angular distributions of He3 and He4 ions produced in the Be7+Ni58 reaction at a bombarding energy of 22 MeV have been measured for the first time. The yield of the heavier helium isotope was four to five times more abundant than that of its lighter counterpart, ruling out the possibility that in this energy range the Be7 reaction dynamics is dominated by the exclusive breakup process Be7→3He+He4 (Sα=1.586 MeV). Extensive kinematic and theoretical calculations suggest that the He3 ions mostly originate from the He4-stripping process and the He4 production is mainly triggered by the fusion-evaporation channel. The role played by the breakup, He3-stripping, 1n-stripping, and 1n-pickup processes is also discussed

Experience in feeding coal into a liquefaction process development unit

A system for preparing coal slurry and feeding it into a high pressure liquefaction plant is described. The system was developed to provide supporting research and development for the Bureau of Mines coal liquefaction pilot plant. Operating experiences are included

Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras

In this paper we introduce a basic representation for the confluent Cherednik algebras HV, HIII, HD7III and HD8III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the non-symmetric versions of the continuous dual q-Hahn, Al-Salam{Chihara, continuous big q-Hermite and continuous q-Hermite polynomials