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The estimation of functions with varying degrees of smoothness is a challenging problem in the nonparametric function estimation. In this paper, we propose the LABS (L\'{e}vy Adaptive B-Spline regression) model, an extension of the LARK…

统计方法学 · 统计学 2021-02-02 Sewon Park , Hee-Seok Oh , Jaeyong Lee

It is known that a smooth function of exponential decay at infinity can not be an orthonormal wavelet. Dziuba\'nski and Hern\'andez constructed smooth orthonormal wavelets of Gevrey type subexponential decay. We weaken the Gevrey type decay…

泛函分析 · 数学 2024-02-27 Nenad Teofanov , Filip Tomić , Stefan Tutić

We discuss the renormalization of the lattice formulation of the Heavy Quark Effective Theory (LHQET). In addition to wave function and composite operator renormalizations, on the lattice the classical velocity is also renormalized. The…

高能物理 - 格点 · 物理学 2009-10-28 Jeffrey E. Mandula , Michael C. Ogilvie

We first review the phenomenology of viscous liquids and the standard models used for explaining the non-Arrhenius average relaxation time. Then the focus is turned to the so-called elastic models, arguing that these models are all…

软凝聚态物质 · 物理学 2009-11-11 Jeppe C. Dyre

Recent tests of the electroweak Standard Model are reviewed, covering the precise measurements of Z decays at LEP I and SLC and measurements of fermion pair production at higher energies at LEP II. Special emphasis is given to new results…

高能物理 - 唯象学 · 物理学 2007-05-23 David Ward

To provide a mechanistic explanation of sustained {then} damped oscillations observed in a depolymerisation experiment, a bi-monomeric variant of the seminal Becker-D\"oring system has been proposed in \cite{DFMR}. When all reaction rates…

偏微分方程分析 · 数学 2024-07-08 Marie Doumic , Klemens Fellner , Mathieu Mezache , Juan J L Velázquez

We develop a relativistic lattice Boltzmann model capable of describing relativistic fluid dynamics at ultra-high velocities, with Lorentz factors up to $\gamma \sim 10$. To this purpose, we first build a new lattice kinetic scheme by…

高能天体物理现象 · 物理学 2015-06-12 F. Mohseni , M. Mendoza , S. Succi , H. J. Herrmann

The lattice Boltzmann method (LBM) is a popular numerical framework to investigate single and multiphase flow though porous media. For estimation of absolute permeability based on micro-tomographic images of the porous medium, the…

计算物理 · 物理学 2019-03-01 Parthib Rao , Laura Schaefer

Averaging lemmas were introduced as a tool of the mathematical analysis of kinetic equations, i.e. PDEs for functions in phase space $(x,v)$ containing a transport ("advection") term. By integrating over $v$ in velocity space…

偏微分方程分析 · 数学 2025-12-02 François Golse , Norbert J. Mauser , Jakob Möller

The paper addresses the problem of a a semi-infinite plane crack along the interface between two 3D isotropic half-spaces. Two methods of solution have been considered in the past: Lazarus and Leblond (1998) applied the "special" method by…

数学物理 · 物理学 2009-11-11 A. Piccolroaz , G. Mishuris , A. Movchan

Gels made of telechelic polymers connected by reversible crosslinkers are a versatile design platform for biocompatible viscoelastic materials. Their linear response to a step strain displays a fast, near-exponential relaxation when using…

The present work attempts to present a consistent and efficient approach to piezoelectric laminated beams. The influence of hypotheses on three-dimensional sectional deformations and stress distributions on the estimate of the beam…

数学物理 · 物理学 2010-09-28 C. Maurini , F. dell'Isola , J. Pouget

The reverse Monte Carlo (RMC) method is widely used in structural modelling and analysis of experimental data. More recently, RMC has been applied to the calculation of equilibrium thermodynamic properties and dynamic problems. These…

其他凝聚态物理 · 物理学 2022-12-02 Akash Kumar Ball , Suhail Haque , Abhijit Chatterjee

The exponential and the Lomax distributions are widely used in life testing experiments in mixture models. A mixture model of exponential distribution and Lomax distribution is proposed. Parameters of the proposed model are estimated using…

统计方法学 · 统计学 2020-02-27 Maqsood Ali , Abdul Haq , Muhammad Aslam

Herein, we present a canonical form for a natural and necessary generalization of the Lambert W function, natural in that it requires minimal mathematical definitions for this generalization, and necessary in that it provides a means of…

数学物理 · 物理学 2007-05-23 Tony C. Scott , Robert B. Mann

A multi-component lattice Boltzmann model recently introduced (R. Benzi et al. Phys. Rev. Lett 102, 026002 (2009)) to describe some dynamical behaviors of soft-flowing materials is theoretically analyzed. Equilibrium and transport…

软凝聚态物质 · 物理学 2015-05-13 R. Benzi , M. Sbragaglia , S. Succi , M. Bernaschi , S. Chibbaro

A new analytical model based on the WKB approximation for MOSFET-like one-dimensional ballistic transistors with Schottky-Barrier contacts has been developed for the drain current. By using a proper approximation of both the Fermi-Dirac…

介观与纳米尺度物理 · 物理学 2017-08-31 Igor Bejenari , Michael Schroter , Martin Claus

We test the ability of semiclassical theory to describe quantitatively the revival of quantum wavepackets --a long time phenomena-- in the one dimensional quartic oscillator (a Kerr type Hamiltonian). Two semiclassical theories are…

量子物理 · 物理学 2015-05-13 F. Toscano , R. O. Vallejos , D. A. Wisniacki

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

无序系统与神经网络 · 物理学 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

The lasso and elastic net linear regression models impose a double-exponential prior distribution on the model parameters to achieve regression shrinkage and variable selection, allowing the inference of robust models from large data sets.…

统计方法学 · 统计学 2021-10-29 Tom Michoel