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math.PR2020
Octonion random functions and integration of stochastic PDEs
S. V. Ludkowski
In the article random functions in modules over the octonion algebra and Cayley-Dickson algebras are investigated. For their study transition measures with values in the octonion a…
math.PR2018★ 1 cited
Hypercomplex Generalizations of Gaussian-type Measures
S. V. Ludkowski
The article is devoted to a new type of measures which are hypercomplex generalizations of Gaussian-type measures. The considered such measures are related with solutions of high o…
math.PR2016
Spaces of quasi-invariant measures and convergence in them
Sergey Victor Ludkowski
Spaces of quasi-invariant measures supplied with different topologies are studied. Their embeddings, projective decompositions, conditions for their metrizability are investigated.…