Geodesic
A~method for solving the $p$-adic Kolmogorov--Feller equation for an ultrametric random walk in an axially symmetric external field
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 197-207

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A method for solving the Kolmogorov–Feller equation for an ultrametric random walk in an axially symmetric external field is considered. The transition function $w(y\mid x)$, $x,y\in\mathbb Q_p$, of the process under consideration is nonsymmetric and depends on the norm of $p$-adic arguments. It is proved for the transition functions of the form $w(y\mid x)=\rho(|x-y|_p)\varphi(|x|_p)$ that solving the $p$-adic Kolmogorov–Feller equation for a random walk in a $p$-adic ball of radius $p^R$ reduces to solving a system of $R+1$ ordinary differential equations. 
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     author = {O. M. Sizova},
     title = {A~method for solving the $p$-adic {Kolmogorov--Feller} equation for an ultrametric random walk in an axially symmetric external field},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {197--207},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a15/}
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O. M. Sizova. A~method for solving the $p$-adic Kolmogorov--Feller equation for an ultrametric random walk in an axially symmetric external field. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 197-207. http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a15/