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Stochastic processes on non-Archimedean spaces with values in non-Archimedean fields
S. Ludkovsky, A. Khrennikov
Stochastic processes on topological vector spaces over non-Archimedean fields and with transition measures having values in non-Archimedean fields are defined and investigated. For…
Quasi-invariant and pseudo-differentiable measures on a non-Archimedean Banach space. II. Measures with values in non-Archimedean fields
Sergey V. Ludkovsky
Quasi-invariant and pseudo-differentiable measures on a Banach space over a non-Archimedean locally compact infinite field with a non-trivial valuation are defined and construc…
Quasi-invariant and pseudo-differentiable measures on a non-Archimedean Banach space.I. Real-valued measures
Sergey V. Ludkovsky
Quasi-invariant and pseudo-differentiable measures on a Banach space over a non-Archimedean locally compact infinite field with a non-trivial valuation are defined and construc…
Stochastic processes on non-Archimedean spaces. III. Stochastic processes on totally disconnected topological groups
S. V. Ludkovsky
Stochastic processes on totally disconnected topological groups are investigated. In particular they are considered for diffeomorphism groups and loop groups of manifolds on non-Ar…
Stochastic processes on non-Archimedean spaces. I. Stochastic processes on Banach spaces
S. V. Ludkovsky
Non-Archimedean analogs of Markov quasimeasures and stochastic processes are investigated. Thery are used for the development of stochastic antiderivations. The non-Archimedean ana…
Stochastic processes on non-Archimedean spaces. II. Stochastic antiderivational equations
S. V. Ludkovsky
Stochastic antiderivational equations on Banach spaces over local non-Archimedean fields are investigated. Theorems about existence and uniqiuness of the solutions are proved under…