Solving in his PhD thesis the one-dimensional version of a certain lattice model of
ferromagnetism formulated by his supervisor Lenz [1], Ising came to the conclusion that the …

Understanding the behaviors of ecological systems is challenging given their multifaceted
complexity. To proceed, theoretical models such as Lotka-Volterra dynamics with random …

The hypergraph offers a platform to study structural properties emerging from more
complicated and higher-order than pairwise interactions among constituents and dynamical …

In this work we suggest a novel paradigm of social laser (solaser), which can explain such
Internet inspired social phenomena as echo chambers, reinforcement and growth of …

The Potts model with invisible states was introduced to explain discrepancies between
theoretical predictions and experimental observations of phase transitions in some systems …

We demonstrate that the susceptible-infected-susceptible (SIS) model on complex networks
can have an inactive Griffiths phase characterized by a slow relaxation dynamics. It contrasts …

This book mathematically analyzes the basic problems of biology, decision making and
psychology within the framework of the theory of open quantum systems. In recent years …

We present a scheme for the amplification of Schrödinger cat states that collapses two
smaller states onto their constructive interference via a homodyne projection. We analyze …

In this work, we suggest a quantum-like simulator concept to study social processes related
to the solution of NP-hard problems. The simulator is based on the solaser model recently …

Cuprates show multiphase and multiscale complexity that has hindered physicists search for
the mechanism of high T c for many years. Recently the interest has been addressed to a …