3 problems

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Kossovsky's chained-distribution conjecture for Benford behavior
Consider chained probability distributions and the leading digits of the resulting random quantities. Kossovsky's conjecture. As the length of the chain increases, the leading-digi…
Conjectureopenbenfords-law probability random-productsarXiv posted 2 days ago
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Generic positive exponent conjecture for random products in higher dimensions
Higher-dimensional random-product conjecture. There exist a $C^1$ dense and $C^r$ open set of volume-preserving diffeomorphisms such that the random product has at least one positi…
Conjectureopendynamical-systems lyapunov-exponents random-productsarXiv posted 2 days ago
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Lakshminarayan's real-eigenvalue conjecture for products of random matrices
Lakshminarayan's conjecture. The probability that $A_n$ has all real eigenvalues tends to $1$ :
Conjectureopeneigenvalues random-matrices random-productsarXiv posted 2 days ago

Kossovsky's chained-distribution conjecture for Benford behavior