4 papers
Evidence of a universal power law characterizing the evolution of metabolic networks
Shalini, Areejit Samal, Varun Giri +3
Metabolic networks are known to be scale free but the evolutionary origin of this structural property is not clearly understood. One way of studying the dynamical process is to com…
Graph Theory and the Evolution of Autocatalytic Networks
Sanjay Jain, Sandeep Krishna
We give a self-contained introduction to the theory of directed graphs, leading up to the relationship between the Perron-Frobenius eigenvectors of a graph and its autocatalytic se…
Dynamics of Individual Specialization and Global Diversification in Communities
Vivek S. Borkar, Sanjay Jain, Govindan Rangarajan
We discuss a model of an economic community consisting of interacting agents. The state of each agent at any time is characterized, in general, by a mixed strategy profile draw…
Collective Behaviour and Diversity in Economic Communities: Some Insights from an Evolutionary Game
Vivek S. Borkar, Sanjay Jain, Govindan Rangarajan
Many complex adaptive systems contain a large diversity of specialized components. The specialization at the level of the microscopic degrees of freedom, and diversity at the level…