We consider the multiparameter random simplicial complex as a higher dimensional extension of classical Erdős–Rényi graph. investigate appearance “unusual” topological structures in from point view large deviations. first study upper tail deviation probabilities for subcomplex counts, deriving order magnitude such at logarithmic scale precision. The obtained results are then applied to analyze ...

We consider the large deviations properties of the empirical measure for one dimensional constrained processes, such as reflecting Brownian motion, the M/M/1 queue, and discrete time analogues. Because these processes do not satisfy the strong stability assumptions that are usually assumed when studying the empirical measure, there is significant probability (from the perspective of large devia...

A recent trend in plasma etching of semi-conductors has been the move towards discharge operation at low pressures of 2-20 mTorr. At these conditions the electron distribution functions shows modest but signi cant deviations from a fully nonlocal distribution. We have developed a model which addresses this regime of modest deviations from the nonlocal case with an efcient numerical scheme to so...

Predictions for (φ)4 theory from renormalization-group-improved perturbation theory, as formulated by Lüscher and Weisz, are compared to published (and some unpublished) data from lattice Monte-Carlo simulations of the 4-dimensional Ising model. Good agreement is found in all but one respect:— the change in the wavefunction-renormalization constant ẐR across the phase transition is significantl...

Previous analyses of the X-ray emission from SS 433 have assumed conically out-flowing jets of hot plasma in ionizational equilibrium conditions to deduce the system’s physical parameters from the data. Current X-ray instruments are sensitive enough to detect the effects of second order deviations from these simple assumptions in the measured spectra. We have modeled the two dimensional hydrody...

We investigate Lagrangian relative dispersion in direct numerical simulation of two-dimensional inverse cascade turbulence. The analysis is performed by using both standard fixed time statistics and an exit time approach. The latter allows a more precise determination of the Richardson constant which is found to be g.4 with a possible weak finite-size dependence. Our results show only small dev...

The unit cell of the title compound, C(7)H(6)O(4)·H(2)O, features four independent formula units; the individual carb-oxy-lic acid mol-ecules themselves are nearly planar (r.m.s. deviations = 0.0189, 0.0334, 0.0356 and 0.0441 Å). Two independent mol-ecules each form two hydrogen bonds by acid-carbonyl O-H⋯O inter-actions and the dimers are also nearly planar (r.m.s. deviations = 0.039 and 0.049...

Compressibility measurements are performed on a quantum point contact (QPC). Screening due to mobile charges in the QPC is measured quantitatively, using a second point contact. These measurements are performed from pinch-off through the opening of the first few modes in the QPC. While the measured signal closely matches a Thomas-Fermi-Poisson prediction, deviations from the classical behavior ...

The current study addresses the accuracy of bend elements and global dimensions with tolerances based on an analytical method, where each deviation in part dimension is represented by type A and type B errors, as instructed by ISO-GUM. Meanwhile, a generic formula is presented to estimate the deviations in the global dimensions of interest in bent parts based on the deviations in the participat...