A mean field Jacobi process governing the dynamics of the travel demand of agents is
formulated and its application to sustainable tourism is investigated both mathematically and …

The variability of neuronal spike trains is usually measured by the Fano factor or the
coefficient of variation of interspike intervals, but their estimation is problematic, especially …

Determining the complex mechanisms of process information in the neural activity is found
to be especially challenging. The noise with a 1/f power spectrum has been observed in …

Strong inhibitory input to neurons, which occurs in balanced states of neural networks,
increases synaptic current fluctuations. This has led to the assumption that inhibition …

To overcome some limits of classical neuronal models, we propose a Markovian
generalization of the classical model based on Jacobi processes by introducing downwards …

Synaptic transmission is the key system for the information transfer and elaboration among
neurons. Nevertheless, a synapse is not a standing alone structure but it is a part of a …

Jacobi diffusion is a representative diffusion process whose solution is bounded in a domain
under certain conditions on its drift and diffusion coefficients. However, the process without …

Estimation of parameters in stochastic processes has been thoroughly investigated for
decades and the asymptotic properties of the estimators are known. However, reaching the …

After giving some background on neuron physiology, the classical (deterministic) models for
the generation of action potentials are briefly introduced and their limitations discussed, so …