Please register for the CV & Online Identity Workshop below.

In this talk, we will discuss and present some recent results about three instances of complex systems. In the first part, we will consider a class of random walks taking place on top of networks, in which a set of agents move from node to node depending on the positions of the other agents. More specifically and motivated by physical considerations, we assume that lowly and highly populated nodes are less attractive, an assumption that triggers the emergence of functional communities. As a relevant application in the context of ecology, we consider the habitat network of a butterfly species. In the second part of the talk, we will draw our attention to domino tilings of the so-called Aztec diamond and their equivalent description in terms of non-intersecting lattice random walks. We will give a broad introduction to the topic and discuss some of the main and fascinating features of the model such as the emergence of the arctic phenomenon. Finally, the last part of the talk will be dedicated to complex contagion in social systems and how trust and distrust among agents shape the spreading process when agents interact in groups.