activity
20172026
most citedA Master Equation for Power Laws

24 citations · 40 across the 9 of their papers we have counts for

collaborators

9 papers

physics.soc-ph2026

A Generalized Gompertz Law for the Rise and Fall of Empires

Sabin Roman, Vaishnavi Jayakumar, Karoline Wiesner

Human societies tend to evolve toward increasing scale and complexity, often followed by stagnation and decline. Historical empires provide a prominent example of this trajectory;…

cs.LG2026

Sparse Orthogonal Regression Technique: A Spectral Framework for Equation Discovery, Approximation, and Integration

Sabin Roman, Ljupco Todorovski, Saso Dzeroski

We develop the Sparse Orthogonal Regression Technique (SORT), a sparse spectral framework for learning orthonormal-basis expansions from noisy and irregularly sampled data. SORT es…

physics.soc-ph2026

Exploratory Modelling of Multi-System Transformation Pathways from Real-World Data: A SINDy-Inspired Sparse Orthogonal Regression Technique

Sabin Roman, Vitaliy Soloviy, Klaus Kubeczko

Sustainability transitions unfold through interacting dynamics across social, technological, economic, environmental, and governance dimensions. However, many modelling approaches…

physics.soc-ph2026★ 1 cited

Toward a new AI winter? How diffusion of technological innovation on networks leads to chaotic boom-bust cycles

Sabin Roman, Francesco Bertolotti

Technological developments and the impact of artificial intelligence (AI) are omnipresent themes and concerns of the present day. Much has been written on these topics but applicat…

physics.ao-ph2025★ 1 cited

Approximating the universal thermal climate index using sparse regression with orthogonal polynomials

Sabin Roman, Ljupco Todorovski, Saso Dzeroski +1

The Universal Thermal Climate Index (UTCI) is a measure of thermal comfort that quantifies how humans experience environmental conditions. Due to its robustness and versatility as…

stat.AP2025★ 1 cited

Maximum Entropy Models for Unimodal Time Series: Case Studies of Universe 25 and St. Matthew Island

Sabin Roman

We present a maximum entropy modeling framework for unimodal time series: signals that begin at a reference level, rise to a single peak, and return. Such patterns are commonly obs…

physics.ao-ph2023

Planetary Surface Temperatures from First Principles: Geometric Insights into Energy Balance and Implications for Habitable Exoplanets

Sabin Roman

A previously overlooked relation governing planetary surface temperatures in terms of solar irradiance and top-of-atmosphere Bond albedo is identified. It reproduces the observed c…

cond-mat.stat-mech2022★ 24 cited

A Master Equation for Power Laws

Sabin Roman, Francesco Bertolotti

We propose a new mechanism for generating power laws. Starting from a random walk, we first outline a simple derivation of the Fokker-Planck equation. By analogy, starting from a c…

physics.soc-ph2017★ 13 cited

Topology-dependent rationality and quantal response equilibria in structured populations

Sabin Roman, Markus Brede

Given that the assumption of perfect rationality is rarely met in the real world, we explore a graded notion of rationality in socioecological systems of networked actors. We param…