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Elements of stochastic analysis for the case of Grassmann variables. II. Stochastic partial differential equations for Grassmann processes
Teoretičeskaâ i matematičeskaâ fizika, Tome 97 (1993) no. 2, pp. 182-190 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is the second part of a study of the analogs of certain objects of classical stochastic analysis. A solution of a stochastic differential equation for Grassmann random processes is constructed as functional of a smoothed Wiener process. 
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V. V. Shcherbakov. Elements of stochastic analysis for the case of Grassmann variables. II. Stochastic partial differential equations for Grassmann processes. Teoretičeskaâ i matematičeskaâ fizika, Tome 97 (1993) no. 2, pp. 182-190. http://geodesic.mathdoc.fr/item/TMF_1993_97_2_a1/

[1] Scherbakov V. V., “Elementy stokhasticheskogo analiza dlya sluchaya grassmanovykh peremennykh. I. Grassmanovy stokhasticheskie integraly i sluchainye protsessy”, TMF, 96:1 (1993), 23–36 | MR | Zbl

[2] Ignatyuk I. A., Malyshev V. A., Sidoravichyus V., “Skhodimost metoda stokhasticheskogo kvantovaniya”, Teor. ver. i ee prim., 37:4 (1992), 621–647 | MR | Zbl

[3] Doering C. R., “Nonlinear parabolic stochastic differential equations with additive colored noise on $\mathbf R^d\times\mathbf R_+$: a regulated stochastic quantization”, Comm. Math. Phys., 109:4 (1987), 537–561 | DOI | MR | Zbl

[4] Malyshev V. A., “Ultrafioletovye problemy v teorii polya i mnogomasshtabnye razlozheniya”, Itogi nauki i tekhniki. Ser.teoriya veroyatnostei, 24, 1986, 111–181

[5] Gawendzki K., Kupianen A., Gross-Neveu model through convergent perturbation expansions, preprint Univ. Helsinki, 1985 | MR