Results 1 to 10 of about 2,669 (246)
Lacunary Series and Strong Approximation [PDF]
EntropyStrong approximation, introduced by Strassen (1964), is one of the most powerful methods to prove limit theorems in probability and statistics. In this paper we use strong approximation of lacunary series with conditionally independent sequences to prove
István Berkes
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Crossing bridges with strong Szegő limit theorem [PDF]
Journal of High Energy Physics, 2021 Abstract We develop a new technique for computing a class of four-point correlation functions of heavy half-BPS operators in planar $$ \mathcal{N} $$ N = 4 SYM theory which admit factorization into a product of two octagon form factors with an arbitrary bridge length.
Belitsky, A.V., Korchemsky, G.P.
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One bound to rule them all: from Adiabatic to Zeno [PDF]
Quantum, 2022 We derive a universal nonperturbative bound on the distance between unitary evolutions generated by time-dependent Hamiltonians in terms of the difference of their integral actions.
Daniel Burgarth +3 more
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Strong Limit Theorems for Dependent Random Variables
International Journal of Mathematical Models and Methods in Applied Sciences, 2021 In this article We establish moment inequality of dependent random variables, furthermore some theorems of strong law of large numbers and complete convergence for sequences of dependent random variables. In particular, independent and identically distributed Marcinkiewicz Law of large numbers are generalized to the case of m₀ -dependent sequences.
Libin Wu, Bainian Li
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Small deviation properties concerning arrays of non-homogeneous Markov information sources
Frontiers in Physics, 2023 In this study, we first define the logarithmic likelihood ratio as a measure between arbitrary generalized information sources and non-homogeneous Markov sources and then establish a class of generalized information sources for small deviation theorems ...
Ximei Qin +4 more
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Strong Limit Theorems for Weighted Quantile Processes [PDF]
The Annals of Probability, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Einmahl, John H. J., Mason, David M.
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Ordinal Pattern Dependence in the Context of Long-Range Dependence
Entropy, 2021 Ordinal pattern dependence is a multivariate dependence measure based on the co-movement of two time series. In strong connection to ordinal time series analysis, the ordinal information is taken into account to derive robust results on the dependence ...
Ines Nüßgen, Alexander Schnurr
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Generalized Adiabatic Theorem and Strong-Coupling Limits [PDF]
Quantum, 2019 We generalize Kato's adiabatic theorem to nonunitary dynamics with an isospectral generator. This enables us to unify two strong-coupling limits: one driven by fast oscillations under a Hamiltonian, and the other driven by strong damping under a Lindbladian. We discuss the case where both mechanisms are present and provide nonperturbative error bounds.
Daniel Burgarth +4 more
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Strong Large Deviation and Local Limit Theorems [PDF]
The Annals of Probability, 1986 Let \(\{Y_ n, n \geq 1\}\) be a sequence of random variables which converge weakly to a random variable \(Y\). The pseudodensity function of \(Y_ n\) is defined by \(q_ n(y;b_ n,S)= {b_ n \over \mu(S)}P(b_ n(Y_ n-y) \in S)\), where \(b_ n \to \infty\), \(\mu\) is the Lebesgue measure on \(R\) and \(S\) is a measurable subset of \(R\) such that ...
Chaganty, Narasinga Rao +1 more
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Persisting randomness in randomly growing discrete structures: graphs and search trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The successive discrete structures generated by a sequential algorithm from random input constitute a Markov chain that may exhibit long term dependence on its first few input values.
Rudolf Grübel
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