We introduce the hybrid functional HSEsol. It is based on PBEsol, a revised Perdew-Burke-Ernzerhof functional, designed to yield accurate equilibrium properties for solids and their surfaces. We present lattice constants, bulk moduli, atomization energies, heats of formation, and band gaps for extended systems, as well as atomization energies for the molecular G2-1 test set. Compared to HSE, si...

We construct the moduli spaces of stable maps, Mg,n(P , d), via geometric invariant theory. This construction is only valid over Spec C, but a special case is a GIT presentation of the moduli space of stable curves of genus g with n marked points, Mg,n; this is valid over any base field. Our method follows that used in the case n = 0 by Gieseker in [6], to construct Mg, though our proof that th...

We have used phase field simulations to study elastic stress driven phase inversion in which an initial microstructure with a minority phase embedded in a majority phase evolves to one in which the latter becomes embedded in the former. Such phase inversion is possible if the majority phase is elastically stiffer than the minority phase. For a given set of parameters (volume fraction and elasti...

In recent series of works, by translating properties of multi-centered supersymmetric black holes into the language of quiver representations, we proposed a formula that expresses the Hodge numbers of the moduli space of semi-stable representations of quivers with generic superpotential in terms of a set of invariants associated to ‘single-centered’ or ‘pure-Higgs’ states. The distinguishing fe...

One interpretation of Torelli’s Theorem, which asserts that a compact Riemann Surface X of genus g > 1 is determined by the g(g+1)/2 entries of the period matrix, is that the period matrix is a message about X. Since this message depends on only 3g− 3 moduli, it is sparse, or at least approximately so, in the sense of information theory. Thus, methods from information theory may be useful in re...

The idea of a moduli space is that its points correspond to a geometric object of interest. The underlying set of the space is thus determined, but not its geometric structure. In most cases, one can describe a geometric structure in an ad hoc manner, but it is not immediately obvious how to rigorously formulate the idea that the resulting object is “the” moduli space for the problem. This is t...

In this paper, a new class of Hierarchical Residue Number Systems (HRNSs) is proposed, where the numbers are represented as a set of residues modulo factors of 2 ± 1 and modulo 2 . The converters between the proposed HRNS and the positional binary number system can be built as 2-level structures using efficient circuits designed for the RNS (2 − 1, 2, 2 +1). This approach allows using many smal...

We propose a general method for modelling transformation paths of multi-phase materials such that elastic moduli can be fitted exactly. The energy landscape obtained in this way is global and automatically enjoys the correct symmetries. The method is applied to the triple point of zirconia, where tetragonal, orthorhombic (orthoI), and monoclinic phases meet. An explicit and relatively simple ex...

This paper proposes two efficient residue to binary converters on a new three-moduli set{2^2n-1,2^4n,2^2n+1} using the Chinese Remainder Theorem. The proposed reverseconverters are adder based and memoryless. In comparison with other moduli sets with similardynamic range, the new schemes out-perform the existing schemes in terms of both hardwarecost and relative performance....

This is the first of at least two articles that describe the moduli spaces of pseudoholomorphic, multiply punctured spheres in R× (S1 × S2) as defined by a certain natural pair of almost complex structure and symplectic form. This article proves that all moduli space components are smooth manifolds. Necessary and sufficient conditions are also given for a collection of closed curves in S1 × S2 ...