scholarly journals Talagrand’s inequality in planar Gaussian field percolation

2021 ◽  
Vol 26 (none) ◽  
Author(s):  
Alejandro Rivera
Keyword(s):  
Gaussian Field ◽  
Talagrand’S Inequality

Stochastic simulation of the spatio-temporal field of the average daily heat index in Southern Russia

2020 ◽  
Vol 82 ◽  
pp. 149-160
Author(s):  
N Kargapolova
Keyword(s):  
Heat Waves ◽  
Numerical Models ◽  
Heat Index ◽  
Real Field ◽  
Gaussian Field ◽  
The Real ◽  
Southern Russia ◽  
Weather Stations ◽  
Spatio Temporal ◽  
Temporal Field

Numerical models of the heat index time series and spatio-temporal fields can be used for a variety of purposes, from the study of the dynamics of heat waves to projections of the influence of future climate on humans. To conduct these studies one must have efficient numerical models that successfully reproduce key features of the real weather processes. In this study, 2 numerical stochastic models of the spatio-temporal non-Gaussian field of the average daily heat index (ADHI) are considered. The field is simulated on an irregular grid determined by the location of weather stations. The first model is based on the method of the inverse distribution function. The second model is constructed using the normalization method. Real data collected at weather stations located in southern Russia are used to both determine the input parameters and to verify the proposed models. It is shown that the first model reproduces the properties of the real field of the ADHI more precisely compared to the second one, but the numerical implementation of the first model is significantly more time consuming. In the future, it is intended to transform the models presented to a numerical model of the conditional spatio-temporal field of the ADHI defined on a dense spatio-temporal grid and to use the model constructed for the stochastic forecasting of the heat index.

scholarly journals On multiple peaks and moderate deviations for the supremum of a Gaussian field

2015 ◽  
Vol 43 (6) ◽  
pp. 3468-3493 ◽  
Author(s):  
Jian Ding ◽  
Ronen Eldan ◽  
Alex Zhai
Keyword(s):  
Moderate Deviations ◽  
Gaussian Field ◽  
Multiple Peaks

Gaussian field estimator with manifold regularization for retinal image registration

2019 ◽  
Vol 157 ◽  
pp. 225-235 ◽  
Author(s):  
Jiahao Wang ◽  
Jun Chen ◽  
Huihui Xu ◽  
Shuaibin Zhang ◽  
Xiaoguang Mei ◽  
...  
Keyword(s):  
Image Registration ◽  
Retinal Image ◽  
Manifold Regularization ◽  
Gaussian Field

Sample path behaviour of Χ2 surfaces at extrema

1988 ◽  
Vol 20 (4) ◽  
pp. 719-738 ◽  
Author(s):  
Michael Aronowich ◽  
Robert J. Adler
Keyword(s):  
Rough Surfaces ◽  
Sample Path ◽  
Gaussian Field ◽  
Random Surfaces ◽  
Sample Path Properties ◽  
Low Levels ◽  
Path Properties

We study the sample path properties of χ2 random surfaces, in particular in the neighbourhood of their extrema. We show that, as is the case for their Gaussian counterparts, χ2 surfaces at high levels follow the form of certain deterministic paraboloids, but that, unlike their Gaussian counterparts, at low levels their form is much more random. This has a number of interesting implications in the modelling of rough surfaces and the study of the ‘robustness' of Gaussian field models. The general approach of the paper is the study of extrema via the ‘Slepian model process', which, for χ2 fields, is tractable only at asymptotically high or low levels.

Subwavelength spinning of particles in vector cosine-Gaussian field with radial polarization

2021 ◽  
pp. 127829
Author(s):  
Rui Zhao ◽  
Min Jiang ◽  
Shuoshuo Zhang ◽  
Zhongsheng Man ◽  
Benyi Wang ◽  
...  
Keyword(s):  
Gaussian Field ◽  
Radial Polarization

One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions

2019 ◽  
Vol 72 (2) ◽  
pp. 427-454 ◽  
Author(s):  
Peng Gao ◽  
Liangyi Zhao
Keyword(s):  
Level Density ◽  
Central Point ◽  
Gaussian Field ◽  
Quadratic Family ◽  
Density Results

AbstractIn this paper we prove some one-level density results for the low-lying zeros of families of quadratic and quartic Hecke $L$-functions of the Gaussian field. As corollaries, we deduce that at least 94.27% and 5%, respectively, of the members of the quadratic family and the quartic family do not vanish at the central point.

An Integrated Approach for History Matching of Multiscale-Fracture Reservoirs

SPE Journal ◽  
2019 ◽  
Vol 24 (04) ◽  
pp. 1508-1525
Author(s):  
Mengbi Yao ◽  
Haibin Chang ◽  
Xiang Li ◽  
Dongxiao Zhang
Keyword(s):  
History Matching ◽  
Large Scale ◽  
Fractured Reservoirs ◽  
Integrated Approach ◽  
Small Scale ◽  
Gaussian Field ◽  
Limited Information ◽  
Fractured Reservoir ◽  
Discrete Fracture Model ◽  
Single Scale

Summary Naturally or hydraulically fractured reservoirs usually contain fractures at various scales. Among these fractures, large-scale fractures might strongly affect fluid flow, making them essential for production behavior. Areas with densely populated small-scale fractures might also affect the flow capacity of the region and contribute to production. However, because of limited information, locating each small-scale fracture individually is impossible. The coexistence of different fracture scales also constitutes a great challenge for history matching. In this work, an integrated approach is proposed to inverse model multiscale fractures hierarchically using dynamic production data. In the proposed method, a hybrid of an embedded discrete fracture model (EDFM) and a dual-porosity/dual-permeability (DPDP) model is devised to parameterize multiscale fractures. The large-scale fractures are explicitly modeled by EDFM with Hough-transform-based parameterization to maintain their geometrical details. For the area with densely populated small-scale fractures, a truncated Gaussian field is applied to capture its spatial distribution, and then the DPDP model is used to model this fracture area. After the parameterization, an iterative history-matching method is used to inversely model the flow in a fractured reservoir. Several synthetic cases, including one case with single-scale fractures and three cases with multiscale fractures, are designed to test the performance of the proposed approach.

polynomials in the Gaussian field

1963 ◽  
Vol 30 (1) ◽  
pp. 15-24 ◽  
Author(s):  
L. Carlitz
Keyword(s):  
Gaussian Field
Sign in / Sign up

Export Citation Format

Share Document