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19992019
most citedStochastic processes on non-Archimedean spaces with values in non-Archimedean fields

46 citations · 258 across the 56 of their papers we have counts for

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10 papers · 1 filter

math.CA2001★ 46 cited

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…

math.GM2001★ 9 cited

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…

math.GM2001★ 2 cited

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…

math.GM2001★ 2 cited

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…

math.GM2001★ 4 cited

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…

math.GM2001★ 5 cited

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…