Results 91 to 100 of about 3,094 (216)

The nonrelativistic limit of the nonlinear Dirac equation [PDF]

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1992
It is proved that there exist solutions of the nonlinear Dirac equation, smooth in time, on a time interval which is independent of c . Moreover after multiplication by a phase factor (dependent on c ) these solutions converge to the ...
openaire   +1 more source

Calibrating Bayesian inference

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information‐updating rules. In many applications, however, prior distributions are introduced merely as instruments to facilitate computation, rather than as representations of genuine subjective belief ...
Yang Liu, Jonathan P. Williams, Jan Hannig   +2 more
wiley   +1 more source

Testing Distributional Granger Causality With Entropic Optimal Transport

Journal of Time Series Analysis, EarlyView.
ABSTRACT We develop a novel nonparametric test for Granger causality in distribution based on entropic optimal transport. Unlike classical mean‐based approaches, the proposed method directly compares the full conditional distributions of a response variable with and without the history of a candidate predictor.
Tao Wang
wiley   +1 more source

Robust Mean–Variance Portfolio Optimization: Mean–Variance–Variance Criterion Versus Mean–Variance–Standard Deviation Criterion

Mathematical Finance, EarlyView.
ABSTRACT We study a dynamic portfolio optimization problem under the mean–variance–variance (M‐V‐V) criterion proposed by Maccheroni et al. It is an analogue of the Arrow–Pratt approximation to the well‐known smooth ambiguity model. Under the standard Black–Scholes framework, we derive fully explicit equilibrium investment strategies in which a DM's ...
David Landriault, Bin Li, Yuanyuan Zhang
wiley   +1 more source

Numerical solution to nonlinear Tricomi equation using WENO schemes

Electronic Journal of Differential Equations, 2010
Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic) second order partial differential equation, modelling the sonic boom focusing. In this paper, the Tricomi equation is transformed into a hyperbolic system of first order equations, in ...
Adrian Sescu, Abdollah A. Afjeh, Carmen Sescu   +2 more
doaj  

Modeling a Quantum Hall System via Elliptic Equations

Advances in Mathematical Physics, 2009
Quantum Hall systems are a suitable theme for a case study in the general area of nanotechnology. In particular, it is a good framework to search for universal principles relevant to nanosystem modeling and nanosystem-specific signal processing. Recently,
Artur Sowa
doaj   +1 more source

Drift‐Diffusion Models with Schottky Contacts at Metal–Semiconductor Interfaces

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The paper deals with a drift‐diffusion model for semiconductor devices with Schottky contacts at all metal–semiconductor interfaces. The presented analytical investigations permit Boltzmann as well as Fermi–Dirac statistics for the charge‐carrier densities.
Annegret Glitzky, Matthias Liero
wiley   +1 more source

Interaction of exact gravitational waves with matter

Physics Letters B
We consider interactions of exact (i.e., solutions of full nonlinear field equations) gravitational waves with matter by using the Einstein-Boltzmann equation.
Morteza Mohseni, Saurya Das
doaj   +1 more source

Electronic response of graphene to an ultrashort intense terahertz radiation pulse

New Journal of Physics, 2013
We have recently reported a study (Ishikawa 2010 Phys. Rev. B 82 201402) on a nonlinear optical response of graphene to a normally incident terahertz radiation pulse within the massless Dirac fermion (MDF) picture, where we have derived physically ...
Kenichi L Ishikawa
doaj   +1 more source

Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley   +1 more source