TL;DR
This paper extends the stochastic framework to quasi-power-law inflationary universes, deriving key equations and solutions to better understand the inflationary dynamics driven by scalar fields.
Contribution
It introduces a generalized stochastic approach for quasi-power-law inflation, deriving Langevin and Fokker-Planck equations and finding stationary solutions.
Findings
Derived Langevin and Fokker-Planck equations for the model
Obtained stationary solutions to the Fokker-Planck equation
Enhanced understanding of scalar field dynamics in non-de Sitter inflation
Abstract
We generalize the stochastic approach to quasi-power-law inflationary Universes,obtain the corresponding Langevin and Fokker-Planck equations for the scalar field driving inflation and find stationary solutions to the above FP equation.
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