Given an essential semilattice congruence \(\equiv\) on the left weak order of a \linebreak Coxeter group \(W\), we define stack-sorting operator \({\bf S}_\equiv:W\to W\) by \({{\bf S}_\equiv(w)=w\big(\pi_\downarrow^\equiv(w)\big)^{-1}}\), where \(\pi_\downarrow^\equiv(w)\) is unique minimal element class containing \(w\). When sylvester symmetric \(S_n\), S}_\equiv\) West's map. descent pop-s...

A typical Iranian carbonate matrix block surrounded by an open fracture was modeled in order to understand the fracture-matrix interaction and realize how to model the interaction best. The modeling was carried out by using a fine-scaled Eclipse model in the single porosity mode (the fractures were explicitly modeled). The model was extended to a stack of 6 matrix blocks to understand block-to-...

In this paper, we study the plasmonic thermal conductance of ordered stacks of metallic nanorings in a host material. Using second quantized formalism of the Random Phase Approximation, we first determine the dispersion relations of surface plasmon waves on the stacks of nanorings. Then, using Landauer-Buttiker formalism, we determine the coefficient of plasmonic thermal conductance and heat cu...

The moduli stack MX(E8) of principal E8-bundles over a smooth projective curve X carries a natural divisor ∆. We study the pull-back of the divisor ∆ to the moduli stack MX(P ), where P is a semi-simple and simply connected group such that its Lie algebra Lie(P ) is a maximal conformal subalgebra of Lie(E8). We show that the divisor ∆ induces “Strange Duality”-type isomorphisms between the Verl...

The spatial coherence of free-electron laser radiation in the water window spectral range was studied, using the third harmonic (λ<(3rd) = 2.66 nm) of DESY's Free-electron LASer in Hamburg (FLASH). Coherent single pulse diffraction patterns of 1,2-Dioleoyl-sn-glycero-3-phosphocholine (DOPC) multilamellar lipid stacks have been recorded. The intensity histogram of the speckle pattern around the ...

The Gromov-Witten theory of Deligne-Mumford stacks is a recent development, and hardly any computations have been done beyond 3-point genus 0 invariants. This paper provides explicit recursions which, together with some invariants computed by hand, determine all genus 0 invariants of the stack PD,2 . Here D is a smooth plane curve and PD,2 is locally isomorphic to the stack quotient [U/(Z/(2))]...

The Gromov-Witten theory of Deligne-Mumford stacks is a recent development , and hardly any computations have been done beyond 3-point genus 0 invariants. This paper provides explicit recursions which, together with some invariants computed by hand, determine all genus 0 invariants of the stack P 2 D,2. Here D is a smooth plane curve and P 2 D,2 is locally isomorphic to the stack quotient [U/(Z...