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It will be established that the mean oscillation of bounded weak solutions to strongly coupled parabolic systems is small in small balls. If the systems are regular elliptic then their bounded weak solutions are H\"older continuous. Further…

Analysis of PDEs · Mathematics 2024-04-01 Dung Le

In this paper we calculate the basic thermodynamical quantities for a system of bosonic simple harmonic oscillators (BSHOs) and the corresponding system of fermionic simple harmonic oscillators (FSHOs) using a dispersion relationship…

Statistical Mechanics · Physics 2020-01-08 Metin Güner , Metin Arık

We establish a novel convergent iteration framework for a weak approximation of general switching diffusion. The key theoretical basis of the proposed approach is a restriction of the maximum number of switching so as to untangle and…

Numerical Analysis · Mathematics 2023-07-06 Qinjing Qiu , Reiichiro Kawai

In this work, we consider error detection via simulation for reversible circuit architectures. We rigorously prove that reversibility augments the performance of this simple error detection protocol to a considerable degree. A single…

Hardware Architecture · Computer Science 2023-01-11 Lukas Burgholzer , Robert Wille , Richard Kueng

In this paper, we investigate the extension of the recently proposed weighted Fourier burst accumulation (FBA) method into the wavelet domain. The purpose of FBA is to reconstruct a clean and sharp image from a sequence of blurred frames.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Jerome Gilles , Stanley Osher

Quantum metrology is being gradually studied for weak measurement systems. For weak measurement systems with thermal state pointer, we find that in the displacement space corresponding to imaginary weak values, the maximal QFI after…

Quantum Physics · Physics 2018-11-13 Gang Li , Li-Bo Chen , Tao Wang , Zhi-Hui He , He-Shan Song

Noise prediction requires the resolution of relevant acoustic sources on all scales of a turbulent flow. High-resolution direct numerical and large-eddy simulation would be ideal but both are usually too costly despite developments in high…

Fluid Dynamics · Physics 2020-10-22 Sparsh Sharma , Marten Klein , Heiko Schmidt , Ennes Sarradj

This paper proposes new accurate approximations for average error probability (AEP) of a communication system employing either $M$-phase-shift keying (PSK) or differential quaternary PSK with Gray coding (GC-DQPSK) modulation schemes over…

Information Theory · Computer Science 2020-09-29 Yassine Mouchtak , Faissal El Bouanani

This paper studies the behavior of singularly perturbed nonlinear differential equations with boundary-layer solutions that do not necessarily converge to an equilibrium. Using the average of the fast variable and assuming the boundary…

Systems and Control · Computer Science 2018-09-24 Mohammad Deghat , Saeed Ahmadizadeh , Dragan Nesic , Chris Manzie

We apply Fourier neural operators (FNOs), a state-of-the-art operator learning technique, to forecast the temporal evolution of experimentally measured velocity fields. FNOs are a recently developed machine learning method capable of…

Fluid Dynamics · Physics 2023-01-23 Peter I Renn , Cong Wang , Sahin Lale , Zongyi Li , Anima Anandkumar , Morteza Gharib

Deep neural network models have shown a great potential in accelerating the simulation of fluid dynamic systems. Once trained, these models can make inference within seconds, thus can be extremely efficient. However, they suffer from a…

Fluid Dynamics · Physics 2022-02-23 Wenhui Peng , Zelong Yuan , Jianchun Wang

Turbines are crucial to our energy infrastructure, and ensuring their bearings function with minimal friction while often supporting heavy loads is vital. Vibrations within a bearing can signal the presence of defects, friction, or…

Classical Physics · Physics 2024-12-20 Jessica J. Kent , Matheus de C. Loures , Art L. Gower

Free space optical (FSO) communications using orbital angular momentum (OAM) modes has recently received a considerable interest. Propagating OAM modes through free space may be subject to atmospheric turbulence (AT) distortions that cause…

Signal Processing · Electrical Eng. & Systems 2019-07-10 El-Mehdi Amhoud , Abderrahmen Trichili , Boon S. Ooi , Mohamed-Slim Alouini

The problem of describing optical turbulent structures, arising in resonant media with high Fresnel numbers, is reviewed. The consideration is based on the probabilistic approach to pattern selection, ascribing a probability distribution of…

Condensed Matter · Physics 2015-06-24 V. I. Yukalov

We present an elementary proof for an approximate expression of the Bergman kernel on homogeneous spaces, and products of them. The error term is exponentially small with respect to the inverse semiclassical parameter.

Analysis of PDEs · Mathematics 2018-12-18 Alix Deleporte

We derive a closed-form expression that accurately predicts the peak frequency-shift and broadening induced by tiny perturbations of plasmonic nanoresonators without critically relying on repeated electrodynamic simulations of the spectral…

Optics · Physics 2015-05-20 Jianji Yang , Harald Giessen , Philippe Lalanne

Accurate load prediction is an effective way to reduce power system operation costs. Traditionally, the mean square error (MSE) is a common-used loss function to guide the training of an accurate load forecasting model. However, the MSE…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Jialun Zhang , Yi Wang , Gabriela Hug

Evaluations are presented for the prediction of wind power ramping events in the Belgian Offshore Zone. Two models from the Royal Meteorological Institute of Belgium are verified: the operational ALARO-4km and its version with Wind Farm…

The Davenport spectrum is a modification of the classical Kolmogorov spectrum for the inertial range of turbulence that accounts for non-scaling low frequency behavior. Like the classical fractional Brownian motion vis-\`a-vis the…

Statistics Theory · Mathematics 2018-08-16 B. Cooper Boniece , Gustavo Didier , Farzad Sabzikar

We present the experimental realization of a laser system for ground to satellite optical Doppler ranging at the atmospheric turbulence limit. Such a system needs to display good frequency stability (a few parts in 10^{-14}) whilst allowing…

Optics · Physics 2013-11-12 Nicola Chiodo , Khelifa Djerroud , Ouali Acef , Andre Clairon , Peter Wolf
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