Results 31 to 40 of about 52,018 (229)
MathematicsThis study introduces a wavelet-based framework for estimating derivatives of a general regression function within discrete-time, stationary ergodic processes. The analysis focuses on deriving the integrated mean squared error (IMSE) over compact subsets
Sultana Didi, Salim Bouzebda
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Coexistence for a kind of stochastic three-species competitive models
Open Mathematics, 2019 The coexistence of species sustains the ecological balance in nature. This paper focuses on sufficient conditions for the coexistence of a three-species stochastic competitive model, where the model has non-linear diffusion parts.
Huang Nantian +3 more
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Threshold dynamics of a stochastic mathematical model for Wolbachia infections
Journal of Biological Dynamics, 2023 A stochastic mathematical model is proposed to study how environmental heterogeneity and the augmentation of mosquitoes with [Formula: see text] bacteria affect the outcomes of dengue disease. The existence and uniqueness of the positive solutions of the
Jin Yang +4 more
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Geometry of quantum observables and thermodynamics of small systems
, 2014 The concept of ergodicity---the convergence of the temporal averages of observables to their ensemble averages---is the cornerstone of thermodynamics.
A. Lamacraft +5 more
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The Non--Ergodicity Threshold: Time Scale for Magnetic Reversal [PDF]
, 2005 We prove the existence of a non-ergodicity threshold for an anisotropic classical Heisenberg model with all-to-all couplings. Below the threshold, the energy surface is disconnected in two components with positive and negative magnetizations respectively.
A. Dembo +14 more
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Ergodic theorem, ergodic theory, and statistical mechanics [PDF]
Proceedings of the National Academy of Sciences, 2015 This perspective highlights the mean ergodic theorem established by John von Neumann and the pointwise ergodic theorem established by George Birkhoff, proofs of which were published nearly simultaneously in PNAS in 1931 and 1932. These theorems were of great significance both in mathematics and in statistical mechanics.
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On the Rate of Quantum Ergodicity on hyperbolic Surfaces and Billiards
, 1997 The rate of quantum ergodicity is studied for three strongly chaotic (Anosov) systems. The quantal eigenfunctions on a compact Riemannian surface of genus g=2 and of two triangular billiards on a surface of constant negative curvature are investigated ...
Abteilung Theoretische Physik +4 more
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Canadian Journal of Statistics, EarlyView.Abstract We establish the consistency and the asymptotic distribution of the least squares estimators of the coefficients of a subset vector autoregressive process with exogenous variables (VARX). Using a martingale central limit theorem, we derive the asymptotic normal distribution of the estimators. Diagnostic checking is discussed using kernel‐based
Pierre Duchesne +2 more
wiley +1 more source
Ergodic Poisson splittings [PDF]
The Annals of Probability, 2020 In this paper we study splittings of a Poisson point process which are equivariant under a conservative transformation. We show that, if the Cartesian powers of this transformation are all ergodic, the only ergodic splitting is the obvious one, that is, a collection of independent Poisson processes.
Janvresse, Elise +2 more
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