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Limit theorems in free probability theory II [PDF]
Abstract Based on an analytical approach to the definition of multiplicative free convolution on probability measures on the nonnegative line ℝ+ and on the unit circle $$ \mathbb{T} $$ we prove analogs of limit theorems for nonidentically distributed random variables in classical Probability Theory.
Friedrich Götze, Götze Friedrich
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On the Special Issue “Limit Theorems of Probability Theory”
M [...]
Alexander N. Tikhomirov +1 more
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Entropy, Periodicity and the Probability of Primality. [PDF]
The distribution of prime numbers has long been viewed as a balance between order and randomness. In this work, we investigate the relationship between entropy, periodicity, and primality through the computational framework of the binary derivative.
Croll GJ.
europepmc +2 more sources
Local limit theorems in free probability theory
Published in at http://dx.doi.org/10.1214/09-AOP505 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Jiun-Chau Wang
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Recent progress on limit theorems for large stochastic particle systems* [PDF]
This article presents a selection of recent results in the mathematical study of physical systems described by a large number of particles, with various types of interactions (mean-field, moderate, nearest-neighbor).
Fathi Max +5 more
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Some recent advances for limit theorems [PDF]
We present some recent developments for limit theorems in probability theory, illustrating the variety of this field of activity. The recent results we discuss range from Stein’s method, as well as for infinitely divisible distributions as applications ...
Arras Benjamin +4 more
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Limit theorems for Floyd's triangle: a new approach to not a new problem
Floyd's triangle is often presented to computer science students as an exercise or example to illustrate the concepts of text formatting and loop constructs. The paper proposes to look at an object from a different angle and to examine limit theorems for
Igoris Belovas
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On Another Type of Convergence for Intuitionistic Fuzzy Observables
The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
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From the initial development of probability theory to the present days, the convergence of various discrete processes to simpler continuous distributions remains at the heart of stochastic analysis.
Vassili N. Kolokoltsov
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On certain limit theorems of the theory of probability [PDF]
Not ...
Erdös, P., Kac, M.
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