Fading Random Evolution on a Complex Plane

doi:10.52846/ami.v52i2.2066

2025-12-01

PRE

Igor Samoilenko *

DOI：10.52846/ami.v52i2.2066

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摘要

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该文章探讨了Goldstein-Kac模型的推广，具体是一种在复平面上具有随时间衰减速度的随机演化模型。这一过程模拟了粒子在力场中的运动等现象。推导出了描述该过程吸收点分布的极限定理。此外，还获得了关于过程泛函的非线性积分方程，并证明了其解的存在性和唯一性。

Keyword:

Goldstein-Kac model

fading random evolution

absorbing point

nonlinear integral equation

期刊

Annals of the University of Craiova-Mathematics and Computer Science Series

IF:

0.7

论文数:

被引数:

机构

ministry of education & science of ukraine

学者数:

1.5W

论文数: 9.7K

被引数: 9

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