Geodesic
Characterization of density processes of deformed stochastic bases of the first kind
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Stochastic calculus, martingales, and their applications, Tome 287 (2014), pp. 267-278.

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We propose a method for reducing a deformed stochastic basis of the first kind to a weakly deformed one. In the case when every $\sigma$-algebra of a filtration is generated by an at most countable partition of the sample space into atoms, we study the problems of constructing deformations of the first kind from a given density process. 
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I. V. Pavlov; O. V. Nazarko. Characterization of density processes of deformed stochastic bases of the first kind. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Stochastic calculus, martingales, and their applications, Tome 287 (2014), pp. 267-278. http://geodesic.mathdoc.fr/item/TM_2014_287_a14/

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[4] Pavlov I.V., Nazarko O.V., “Teorema o preobrazovanii svobodnogo vybora dlya deformirovannykh submartingalov”, Teoriya veroyatn. i ee primen., 2014 (to appear)

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