On the Quadratization of the Integrals for the Many-Body Problem
Mathematics, 2021 A new approach to the construction of difference schemes of any order for the many-body problem that preserves all its algebraic integrals is proposed herein.
Yu Ying +4 more
doaj +1 more source
Probability in Orthodox Quantum Mechanics: Probability as a Postulate Versus Probability as an Emergent Phenomenon [PDF]
, 2000 The role of probability in quantum mechanics is reviewed, with a discussion of the ``orthodox'' versus the statistical interpretive frameworks, and of a number of related issues. After a brief summary of sources of unease with quantum mechanics, a survey
A. J. Leggett +14 more
core +3 more sources
Branching Random Walks with Two Types of Particles on Multidimensional Lattices
Mathematics, 2022 We consider a continuous-time branching random walk on a multidimensional lattice with two types of particles and an infinite number of initial particles.
Iuliia Makarova +3 more
doaj +1 more source
Statistical Theory and Related Fields, 2022 The main goal of this paper is to employ longitudinal trajectories in a significant number of sub-regional brain volumetric MRI data as statistical predictors for Alzheimer's disease (AD) classification. We use logistic regression in a Bayesian framework
Asish Banik, Taps Maiti, Andrew Bender
doaj +1 more source
Supervised Nonparametric Classification in the Context of Replicated Point Patterns
Image Analysis and Stereology, 2022 A spatial point pattern is a collection of points in space, representing, e.g. observed locations of trees, bird nests, centers of cells in a histological sample, etc.
Kateřina Pawlasová, Jiří Dvořák
doaj +1 more source
Quantum probability distribution of arrival times and probability current density [PDF]
, 1998 This paper compares the proposal made in previous papers for a quantum probability distribution of the time of arrival at a certain point with the corresponding proposal based on the probability current density.
B. Mielnik +37 more
core +2 more sources
Propagation Model for Ground-to-Aircraft Communications in the Terahertz Band with Cloud Impairments
Energies, 2022 By operating over a large bandwidth, the terahertz (THz) frequency band (0.3–3 THz) promises to deliver extremely high data rates. While the use of this band in cellular communications systems is not expected to happen within the next decade, various ...
Vladimir Doborshchuk +2 more
doaj +1 more source
Lexicographic probability, conditional probability, and nonstandard probability [PDF]
Games and Economic Behavior, 2010 The relationship between Popper spaces (conditional probability spaces that satisfy some regularity conditions), lexicographic probability systems (LPS's), and nonstandard probability spaces (NPS's) is considered. If countable additivity is assumed, Popper spaces and a subclass of LPS's are equivalent; without the assumption of countable additivity ...
openaire +2 more sources
Response Analysis of Projectile System Under Gaussian Noise Excitation Using Path Integral Method
International Journal of Aerospace EngineeringDuring flight, projectiles are subject to uncertainties such as aerodynamic forces, wind gusts, and measurement errors; all of which significantly affect their stability and accuracy.
Liang Wang +4 more
doaj +2 more sources
Gamblers Never Change their Habits
Austrian Journal of Statistics, 2016 In the game ‘6 out of 45’ the gambler has to guess 6 different numbers out of 45. These guesses are far from being uniformly distributed, instead gamblers prefer certain numbers and avoid others.
Karl Grill, Norbert Kusolitsch
doaj +1 more source