Zobrazeno 1 - 10
of 323
pro vyhledávání: '"Lansky, Petr"'
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 should reproduce the main features of the input to avoid a distortion when
Externí odkaz:
http://arxiv.org/abs/2206.12324
Autor:
Tamborrino, Massimiliano, Lansky, Petr
Shot noise processes have been extensively studied due to their mathematical properties and their relevance in several applications. Here, we consider nonnegative shot noise processes and prove their weak convergence to L\'evy-driven Ornstein-Uhlenbe
Externí odkaz:
http://arxiv.org/abs/2005.06067
We provide a comparative analysis of qualitative features of different numerical methods for the inhomogeneous geometric Brownian motion (IGBM). The conditional and asymptotic mean and variance of the IGBM are known and the process can be characteris
Externí odkaz:
http://arxiv.org/abs/2003.10193
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 turns out to be of primary importance to observe maxima both in the outp
Externí odkaz:
http://arxiv.org/abs/1903.10327
Publikováno v:
In Applied Mathematics and Computation 1 March 2023 440
Publikováno v:
In BioSystems December 2022 222
Publikováno v:
In Journal of Computational and Applied Mathematics 1 May 2022 406
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 ones to those deduced from the properties of the real neurons. One of the
Externí odkaz:
http://arxiv.org/abs/1610.00542
Publikováno v:
Journal of Statistical Physics, Vol. 165 (3), 661-679, 2016
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. Here the model is analyzed and interpreted in the framework of the dev
Externí odkaz:
http://arxiv.org/abs/1605.06851
Autor:
Tamborrino, Massimiliano, Lansky, Petr
Publikováno v:
In Physica D: Nonlinear Phenomena April 2021 418