BACKGROUND In the Anthropocene, there is a need to better understand the catastrophic
effects that climate and land-use change may have on ecosystems, Earth system …

Climate change has become increasingly severe, threatening ecosystem stability and, in
particular, biodiversity. As a typical indicator of ecosystem evolution, vegetation growth is …

This book discusses classical results, as well as recent developments, related to the Cahn–
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …

Recent theories predict phase separation among orientationally disordered active particles
whose propulsion speed decreases rapidly enough with density. Coarse-grained models of …

In this paper we develop an evolution of the C^1 virtual elements of minimal degree for the
approximation of the Cahn--Hilliard equation. The proposed method has the advantage of …

A significant part of this book is based on a graduate course on pattern formation which I
have been teaching during the past two decades in the Physics Department at Ben-Gurion …

Switching on high activity in a relatively dense system of active Janus colloids, we observe
fast clustering, followed by cluster aggregation towards full phase separation. The phase …

We investigate collective phenomena with rotationally driven spinners of concave shape.
Each spinner experiences a constant internal torque in either a clockwise or …

By nature of their small size, dense growth and frequent need for extracellular metabolism,
microbes face persistent public goods dilemmas. Genetic assortment is the only general …

Self-organized complexity at multiple spatial scales is a distinctive characteristic of biological
systems. Yet, little is known about how different self-organizing processes operating at …