2017/07/14 by Wen-Chi Kuo, Kuo, Wen-Chi, Michael Rogans +5
Mathematics · #47B60 #60G20 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Inequality #Mathematical analysis #Mathematics #Mixing (physics) #Nonlinear Differential Equations Analysis #Physics #Probability (math.PR) #Pure mathematics #Riesz representation theorem #math.CA #math.FA #math.PR #msc:47B60 #msc:60G20
paper · pdf · doi:10.48550/arxiv.1707.04663
arxiv created 2017/07/14 · openalex publication_date 2017/07/14 · arxiv updated 2017/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Various topics in stochastic processes have been considered in the abstract setting of Riesz spaces, for example martingales, martingale convergence, ergodic theory, AMARTS, Markov processes and mixingales. Here we continue the relaxation of conditional independence begun in the study of mixingales and study mixing processes. The two mixing coefficients which will be considered are the α (strong) and φ (uniform) mixing coefficients. We conclude with mixing inequalities for these types of processes. In order to facilitate this development, the study of generalized L1 and L^∞ spaces begun by Kuo, Labuschagne and Watson will be extended.