Distributional properties and a simulation algorithm for the Palm version of stationary iterated tessellations are considered. In particular we study the limit behavior of functionals related to Cox-Voronoi cells (such as typical shortest path lengths) if either the intensity γ0 of the initial tessellation or the intensity γ1 of the component tessellation converges to 0. We develop an explicit ...

‎in this paper we study the existence of nontrivial‎ solutions for a variational inequality on the half-line‎. ‎our‎ ‎approach is based on the non-smooth critical point theory‎ ‎for szulkin-type functionals.

A simple algorithm is presented for evaluating scattering parameters of a two-port network. This technique uses the indefinite admittance matrix to calculate scattering or any other desired set of two-port parameters.

It is shown that a Hirzebruch surface admits a Kähler metric (possibly indefinite) of constant scalar curvature if and only if its degree equals zero. There have been many extensive studies for positive-definite Kähler metrics of constant scalar curvature, especially, Kähler Einstein metrics and scalar-flat Kähler metrics, on existence, uniqueness, obstructions, and relationships with other not...

Embedded density functional theory (e-DFT) is used to describe the electronic structure of strongly interacting molecular subsystems. We present a general implementation of the Exact Embedding (EE) method [J. Chem. Phys. 133, 084103 (2010)] to calculate the large contributions of the nonadditive kinetic potential (NAKP) in such applications. Potential energy curves are computed for the dissocia...

Various exchange and correlation functionals have been examined in density-functional calculations for obtaining reliable optimized structures for dicationic binuclear ruthenocenes bridged by an unsaturated compound, which has a characteristic fulvene-type structure. First, we have performed extensive calculations for ruthenocene (RuCp2) in D5h symmetry. It has been found that the Ru-Cp optimiz...

Reduced density matrix functional theory for the case of solids is presented and a new exchange correlation functional based on a fractional power of the density matrix is introduced. We show that compared to other functionals, this produces more accurate results for finite systems. Moreover, it captures the correct band gap behavior for conventional semiconductors as well as strongly correlate...

We introduce a new linear response method to study the lattice dynamics of materials with strong correlations. It is based on a combination of dynamical mean field theory of strongly correlated electrons and the local density functional theory of electronic structure. We apply the method to study the phonon dispersions of Mott insulators NiO and MnO in their paramagnetic insulating state not ac...

In this paper, we show that the calibrated method can also be used to detect indefinite minimal Lagrangian submanifolds in C k . We introduce the notion of indefinite special Lagrangian submanifolds in C k and generalize the well-known work of Harvey-Lawson to the indefinite case.

By incorporating the nonempirical strongly constrained and appropriately normed (SCAN) semilocal density functional [J. Sun, A. Ruzsinszky, and J. P. Perdew, Phys. Rev. Lett. 115, 036402 (2015)] in the underlying expression of four existing hybrid and double-hybrid models, we propose one hybrid (SCAN0) and three double-hybrid (SCAN0-DH, SCAN-QIDH, and SCAN0-2) density functionals, which are fre...