Last time we have discussed the first non-linear transformation of the noisy voter model considered by me and R. Kazakevicius [1]. This time let us talk about the second non-linear transformation: transformation of the time scale.

Is everything fine in modern economics? Or are we approaching the new gilded age and the new 1930s?

Lets continue the topic of anomalous diffusion by considering my recent manuscript together with R. Kazakevicius [1]. In the said manuscript we have considered two different non-linear transformations of the noisy voter model. Here we present you with non-linear transformation of the observable.

In an earlier post we have defined the parliamentary presence and shown that the data from Brazilian and Lithuanian parliaments exhibits anomalous diffusion. Actually we have analyzed Lithuanian data [1], while Brazilian data was considered by Vieira and others [2]. Also in a follow up post we have shown that a noisy voter model is able to reproduce ballistic regime and normal diffusion when we consider individual agent trajectories. Now let us extend the model to account for sub-linear diffusion of parliamentary attendance.

We invite you to watch this video by SciShow in which they discuss mathematical and physical mechanisms behind some complex patterns in nature.