Multibody interactions can reveal higher-order dynamical effects that are not captured by
traditional two-body network models. In this work, we derive and analyze models for …

We present a short review based on the nonlinear q-voter model about problems and
methods raised within statistical physics of opinion formation (SPOOF). We describe …

The influence of zealots on the noisy voter model is studied theoretically and numerically at
the mean-field level. The noisy voter model is a modification of the voter model that includes …

Opinions in human societies are measured by political polls on time scales of months to
years. Such opinion polls do not resolve the effects of individual interactions but constitute a …

We study the effect of time-fluctuating social influences on the formation of polarization and
consensus in a three-party community consisting of two types of voters (“leftists” and …

We consider a one-dimensional stationary stochastic process x (τ) of duration T. We study
the probability density function (PDF) P (tm| T) of the time tm at which x (τ) reaches its global …

In this chapter, we derive and analyse models for consensus dynamics on hypergraphs. As
we discuss, unless there are nonlinear node interaction functions, it is always possible to …

We introduce a new agent-based model of opinion dynamics in which binary opinions of
each agent can be measured and described regarding both pre-and post-influence at both …

We study two variants of the modified Watts threshold model with a noise (with
nonconformity, in the terminology of social psychology) on a complete graph. Within the first …

The noisy voter model is a stylized representation of opinion dynamics. Individuals copy
opinions from other individuals, and are subject to spontaneous state changes. In the case …