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- Romi Mankin, Neeme Lumi
- Physical review. E
- 2016

The behavior of a stochastic leaky integrate-and-fire model of neurons is considered. The effect of temporally correlated random neuronal input is modeled as a colored two-level (dichotomous) Markovian noise. Relying on the Riemann method, exact expressions for the output interspike interval density and for the serial correlation coefficient are derived,… (More)

- Romi Mankin, Katrin Laas, Neeme Lumi, Astrid Rekker
- Physical review. E, Statistical, nonlinear, and…
- 2014

The long-time limit behavior of velocity correlation functions (VCFs) for an underdamped Brownian particle in an oscillatory viscoelastic shear flow is investigated using the generalized Langevin equation with a power-law memory kernel. The influence of a fluctuating environment is modeled by an additive external fractional Gaussian noise. The exact… (More)

- Romi Mankin, Katrin Laas, Neeme Lumi
- Physical review. E, Statistical, nonlinear, and…
- 2013

The long-time limit behavior of the positional distribution for an underdamped Brownian particle in a fluctuating harmonic potential well, which is simultaneously exposed to an oscillatory viscoelastic shear flow is investigated using the generalized Langevin equation with a power-law-type memory kernel. The influence of a fluctuating environment is modeled… (More)

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