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physics.data-an2025
On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN
Allen Lobo
In classical probability theory, the convergence of empirical frequencies to theoretical probabilities: as captured by the Law of Large Numbers (LLN): is treated as axiomatic and e…
physics.data-an2025
On the dynamical evolution of randomness Part A: Random experiments as dynamical systems
Allen Lobo, Saravanan Arumugam
In this work, Bernoulli's Law of Large Numbers, also known as the Golden theorem, has been extended to study the relations between empirical probability and empirical randomness of…