11 citations · 49 across the 8 of their papers we have counts for
8 papers
Input-output consistency in integrate and fire interconnected neurons
Petr Lansky, Federico Polito, Laura Sacerdote
Interspike intervals describe the output of neurons. Signal transmission in a neuronal network implies that the output of some neurons becomes the input of others. The output shoul…
Shot noise, weak convergence and diffusion approximations
Massimiliano Tamborrino, Petr Lansky
Shot noise processes have been extensively studied due to their mathematical properties and their relevance in several applications. Here, we consider nonnegative shot noise proces…
Qualitative properties of numerical methods for the inhomogeneous geometric Brownian motion
Irene Tubikanec, Massimiliano Tamborrino, Petr Lansky +1
We provide a comparative analysis of qualitative features of different numerical methods for the inhomogeneous geometric Brownian motion (IGBM). The conditional and asymptotic mean…
Inhibition enhances the coherence in the Jacobi neuronal model
Giuseppe D'Onofrio, Petr Lansky, Massimiliano Tamborrino
The output signal is examined for the Jacobi neuronal model which is characterized by input-dependent multiplicative noise. The dependence of the noise on the rate of inhibition tu…
The Gamma renewal process as an output of the diffusion leaky integrate-and-fire neuronal model
Petr Lansky, Laura Sacerdote, Cristina Zucca
Statistical properties of spike trains as well as other neurophysiological data suggest a number of mathematical models of neurons. These models range from entirely descriptive one…
Generalized Nonlinear Yule Models
Petr Lansky, Federico Polito, Laura Sacerdote
With the aim of considering models with persistent memory we propose a fractional nonlinear modification of the classical Yule model often studied in the context of macrovolution.…
The role of detachment of in-links in scale-free networks
Petr Lansky, Federico Polito, Laura Sacerdote
Real-world networks may exhibit detachment phenomenon determined by the cancelling of previously existing connections. We discuss a tractable extension of Yule model to account for…
Information transfer with small-amplitude signals
Lubomir Kostal, Petr Lansky
We study the optimality conditions of information transfer in systems with memory in the low signal-to-noise ratio regime of vanishing input amplitude. We find that the optimal mut…