Results 51 to 60 of about 2,878 (136)
General Ergodic Theorems [PDF]
Proceedings of the National Academy of Sciences, 1939 Alaoglu, L., Birkhoff, G.
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A Mixture Transition Distribution Modeling for Higher‐Order Circular Markov Processes
Journal of Time Series Analysis, Volume 47, Issue 2, Page 304-320, March 2026.ABSTRACT This study considers the stationary higher‐order Markov process for circular data by employing the mixture transition distribution modeling. The underlying circular transition distribution is based on Wehrly and Johnson's bivariate joint circular models.
Hiroaki Ogata, Takayuki Shiohama
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Cointegrating Polynomial Regressions With Power Law Trends
Journal of Time Series Analysis, Volume 47, Issue 2, Page 331-344, March 2026.ABSTRACT The common practice in cointegrating polynomial regressions (CPRs) often confines nonlinearities in the variable of interest to stochastic trends, thereby overlooking the possibility that they may be caused by deterministic components. As an extension, we propose univariate and multivariate CPRs that incorporate power law deterministic trends.
Yicong Lin, Hanno Reuvers
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On quantum ergodicity for higher‐dimensional cat maps modulo prime powers
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract A discrete model of quantum ergodicity of linear maps generated by symplectic matrices A∈Sp(2d,Z)$A \in \operatorname{Sp}(2d,{\mathbb {Z}})$ modulo an integer N⩾1$N\geqslant 1$, has been studied for d=1$d=1$ and almost all N$N$ by Kurlberg and Rudnick (2001, Comm. Math. Phys., 222, 201–227).
Subham Bhakta, Igor E. Shparlinski
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Brownian Motion With Partial Resetting Conditioned to Stay Positive
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract We consider Brownian motion with partial resetting, which has recently attracted a lot of attention in physics as well as the mathematics literature. We analyze the speed of convergence of this process towards stationarity as well as its quasistationary behavior.
Martin Kolb, Achim Wübker
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Discrete analogues of second‐order Riesz transforms
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
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Surface Drag Coefficient Observations in Western North Pacific Tropical Cyclones
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 4, 28 February 2026.Abstract Surface momentum flux and drag coefficient are critical factors influencing the structure and intensity of tropical cyclones (TCs). However, due to limited measurements, the behavior of these quantities, particularly in TCs over the western North Pacific (WNP), is not fully understood.
Junyi He +6 more
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, 2009 This is an expository article/encyclopedia entry explaining the history, techniques, and central results in the field of smooth ergodic theory.
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Ergodic flows are strictly ergodic
Advances in Mathematics, 1974 Denker, Manfred, Eberlein, Ernst
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Abstract Ergodic Theorems [PDF]
Proceedings of the National Academy of Sciences, 1948 openaire +2 more sources