Results 31 to 40 of about 43,365 (195)
Ergodicity of the Liouville system implies the Chowla conjecture
Discrete Analysis, 2017 Ergodicity of the Liouville system implies the Chowla conjecture, Discrete Analysis 2017:19, 41 pp. The Liouville function $\lambda:\mathbb N\to\{-1,1\}$ takes a product $p_1p_2\dots p_k$ of (not necessarily distinct) primes $p_1,\dots,p_k$ to $(-1)^k$.
Nikos Frantzikinakis
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Manifestations of Projection-Induced Memory: General Theory and the Tilted Single File
Frontiers in Physics, 2019 Over the years the field of non-Markovian stochastic processes and anomalous diffusion evolved from a specialized topic to mainstream theory, which transgressed the realms of physics to chemistry, biology and ecology. Numerous phenomenological approaches
Alessio Lapolla, Aljaž Godec
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Sarnak's conjecture implies the Chowla conjecture along a subsequence
, 2017 We show that the M\"obius disjointess of zero entropy dynamical systems implies the existence of an increasing sequence of positive integers along which the Chowla conjecture on autocorrelations of the M\"obius function holds.Comment: Proceedings of the ...
Gomilko, Alexander +2 more
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, 1994 Various kinematical quantities associated with the statistical properties of dynamical systems are examined: statistics of the motion, dynamical bases and Lyapunov exponents.
D. Ruelle +22 more
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Lower bound for the Perron-Frobenius degrees of Perron numbers
, 2018 Using an idea of Doug Lind, we give a lower bound for the Perron-Frobenius degree of a Perron number that is not totally-real. As an application, we prove that there are cubic Perron numbers whose Perron-Frobenius degrees are arbitrary large; a result ...
Yazdi, Mehdi
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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
Invariant Sets in Quasiperiodically Forced Dynamical Systems
, 2019 This paper addresses structures of state space in quasiperiodically forced dynamical systems. We develop a theory of ergodic partition of state space in a class of measure-preserving and dissipative flows, which is a natural extension of the existing ...
Mezić, Igor, Susuki, Yoshihiko
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Forecasting Natural Gas Prices in Real Time
Journal of Applied Econometrics, EarlyView.ABSTRACT This paper provides a comprehensive analysis of the forecastability of the real price of natural gas in the United States at the monthly frequency considering a universe of models that differ in complexity and economic content. We find that considerable reductions in mean‐squared prediction error relative to a no‐change benchmark can be ...
Christiane Baumeister +3 more
wiley +1 more source
A short proof of a conjecture of Erdős proved by Moreira, Richter and Robertson
Discrete Analysis, 2019 A short proof of a conjecture of Erdős proved by Moreira, Richter and Robertson, Discrete Analysis 2019:19, 10 pp. The following question, sometimes known as the Erdős sumset conjecture, was asked by Erdős several decades ago.
Bernard Host
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A Combinatorial classification of postcritically fixed Newton maps
, 2018 We give a combinatorial classification for the class of postcritically fixed Newton maps of polynomials as dynamical systems. This lays the foundation for classification results of more general classes of Newton maps.
Drach, Kostiantyn +3 more
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