The area of Social Dynamics stands at the intersection of statistical physics, linguistics, and cognitive science. The research in this area focuses on how collective behaviours emerge from individual interactions, treating society not just as a collection of people, but as a complex system governed by evolving rules. Here is a minimal account of the main research lines.

The dynamics of consensus: from communication systems to languages
The study of how consensus emerges within a population reveals a fascinating interplay between individual cognitive processes and collective social structures. The team has pioneered research into these dynamics by utilising the Naming Game as a primary lens for observing how communication systems spontaneously self-organise. In their models, agents interact locally to negotiate meanings and labels, eventually leading the entire system to a shared convention without any need for global oversight. This process is highly sensitive to the topological structure of the social network, with convergence speeds varying significantly between structured grids and random graphs. Furthermore, the work generalises the focus to the emergence of categories and syntactic structures. A recent development concerns the role of LLMs in the emergence of linguistic consensus. Ultimately, this research provides a mathematical foundation for understanding how languages evolve, how social norms are established, and how collective intelligence can overcome individual noise to achieve unified social states.

Opinion dynamics
The study of opinion dynamics explores how individual beliefs and attitudes evolve through social interaction, often leading to large-scale phenomena such as polarisation or consensus. The team applies the principles of statistical physics to these social systems, modelling opinions as states that change based on rules of imitation, persuasion, or compromise. Their research often centres on based models to quantify how a population moves from a state of high disorder—where many conflicting views exist—to a stable state where a single opinion or convention dominates. The team investigates the emergence of phase transitions from polarised to more open-minded states and grounds theoretical predictions in empirical data. By analysing these transitions, the team provides insights into how social media echo chambers form, how cooperation, as a collective feature, can emerge and spread through a culture, and how collective intelligence can emerge from the bottom up.

Innovation Dynamics
Innovation dynamics focuses on the mathematical and physical laws governing the emergence of novelty across biological, technological, and social systems. Central to their framework is the concept of the Adjacent Possible, a term originally coined by Stuart Kauffman but formalised by Loreto, Tria, and their collaborators into a quantitative theory. They model innovation as a search process in which each new discovery or "first-time occurrence" expands the boundary of what can be discovered next, effectively creating a feedback loop in which the space of the possible grows as it is explored. Their research utilises sophisticated urn models, such as modified Pólya’s urns, to simulate how novelties trigger subsequent breakthroughs, illustrating that the path of progress is both systematic and serendipitous. This comprehensive body of work is synthesised in the 2026 book, The Science of the New (Oxford University Press), written by Loreto and Tria and co-authored with Vito D. P. Servedio. The book provides a "minimal toolkit" for quantifying novelty through entropy and complexity, and offers empirical case studies ranging from cultural evolution to socio-technological shifts. By bridging the gap between theoretical physics and social science, Loreto and Tria demonstrate that the emergence of the new is not merely random but obeys general statistical laws that can be modelled and, to some extent, predicted.

Urban Dynamics
The team’s work on urban dynamics extends his expertise in social dynamics and complexity science to the physical and organisational challenges of urban environments. As director of Sony Computer Science Laboratories - Rome, Loreto leads a dedicated research line focused on the "Sustainable Cities" initiative, which treats urban centres as evolving organisms rather than static structures. A hallmark of this activity is the development of the 15-minute city framework, where Loreto and his team utilise relocation algorithms and data-driven models to ensure that essential services—such as healthcare, education, and commerce—are accessible within a short walk or bike ride for all citizens, regardless of socioeconomic standing. This research emphasises that sustainability is not just an environmental metric but a social necessity rooted in reducing "car dependency" and urban inequality. To engage the public and policymakers, he developed the Kreyon City project, a participatory "gaming the future" prototype that allows users to experience, in real time, how simple urban interventions can lead to complex, unintended consequences. Loreto further bridges theoretical physics and urban planning through tools like Citychrone, a web platform that quantifies urban accessibility and provides a "ranking" of how well global cities meet the needs of their inhabitants. By applying the mathematical principles of the "Adjacent Possible" to urban development, he argues that cities must move beyond standardised, car-centric growth toward inclusive models that promote social cohesion and stay within ecological boundaries.

Summary
The team has shifted the study of social dynamics from qualitative observation to quantitative prediction. By treating social phenomena as physical systems—complete with phase transitions and scaling laws—the Social Dynamics team provides a rigorous lens through which we can view the chaotic beauty of human cooperation and innovation.
The group currently comprises two professors (Vittorio Loreto and Francesca Tria), one junior researcher (Michele Avalle), and two PhD students (Matteo Benati and Filippo Santoro). The team enjoys close collaboration with the Sony Computer Science Laboratories - Rome, directed by Vittorio Loreto, which has three research lines devoted to Sustainable Cities, Infosphere, and Augmented Creativity.