Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior of these systems. Here we review developments in this field, including such concepts as the small-world effect, degree distributions, clustering, network correlations, random graph models, models of network growth and preferential attachment, and dynamical processes taking place on networks.

/pdf/the-structure-and-function-of-complex-networks-34deompc9l.pdf

The Structure and Function of Complex Networks

https://link.springer.com/content/pdf/10.2307%2F3343168.pdf

Development as Freedom

We investigate whether income inequality affects subsequent growth in a cross-country sample for 1965-90, using the models of Barro (1997), Bleaney and Nishiyama (2002) and Sachs and Warner (1997), with negative results. We then investigate the evolution of income inequality over the same period and its correlation with growth. The dominating feature is inequality convergence across countries. This convergence has been significantly faster amongst developed countries. Growth does not appear to influence the evolution of inequality over time. Outline

https://www.econstor.eu/bitstream/10419/81822/1/02-28.pdf

Economic growth and income inequality

Social Network Analysis

ChEMBL is an Open Data database containing binding, functional and ADMET information for a large number of drug-like bioactive compounds. These data are manually abstracted from the primary published literature on a regular basis, then further curated and standardized to maximize their quality and utility across a wide range of chemical biology and drug-discovery research problems. Currently, the database contains 5.4 million bioactivity measurements for more than 1 million compounds and 5200 protein targets. Access is available through a web-based interface, data downloads and web services at: https://www.ebi.ac.uk/chembldb.

/pdf/chembl-a-large-scale-bioactivity-database-for-drug-discovery-4mahqu7a7p.pdf

ChEMBL: a large-scale bioactivity database for drug discovery

We have numerically simulated the ideal-gas models of trading markets, where each agent is identified with a gas molecule and each trading as an elastic or money-conserving two-body collision. Unlike in the ideal gas, we introduce (quenched) saving propensity of the agents, distributed widely between the agents ($0 \le \lambda

Pareto Law in a Kinetic Model of Market with Random Saving Propensity

We study the distributional features and inequality of consumption expenditure across India, for different states, castes, religion and urban–rural divide. We find that even though the aggregate measures of inequality are fairly diversified across states, the consumption distributions show near identical statistics, once properly normalized. This feature is seen to be robust with respect to variations in sociological and economic factors. We also show that state-wise inequality seems to be positively correlated with growth which is in accord with the traditional idea of Kuznets’ curve. We present a brief model to account for the invariance found empirically and show that better but riskier technology draws can create a positive correlation between inequality and growth.

Invariant features of spatial inequality in consumption: The case of India

We study a resource utilization scenario characterized by intrinsic fitness. To describe the growth and organization of different cities, we consider a model for resource utilization where many restaurants compete, as in a game, to attract customers using an iterative learning process. Results for the case of restaurants with uniform fitness are reported. When fitness is uniformly distributed, it gives rise to a Zipf law for the number of customers. We perform an exact calculation for the utilization fraction for the case when choices are made independent of fitness. A variant of the model is also introduced where the fitness can be treated as an ability to stay in the business. When a restaurant loses customers, its fitness is replaced by a random fitness. The steady state fitness distribution is characterized by a power law, while the distribution of the number of customers still follows the Zipf law, implying the robustness of the model. Our model serves as a paradigm for the emergence of Zipf law in city size distribution.

Zipf's law in city size from a resource utilization model

A one-dimensional network on which there are long-range bonds at lattice distances $lg1$ with the probability $P(l)\ensuremath{\propto}{l}^{\ensuremath{-}\ensuremath{\delta}}$ has been taken under consideration. We investigate the critical behavior of the Ising model on such a network where spins interact with these extra neighbors apart from their nearest neighbors for $0\ensuremath{\leqslant}\ensuremath{\delta}l2$. It is observed that there is a finite temperature phase transition in the entire range. For $0\ensuremath{\leqslant}\ensuremath{\delta}l1$, finite-size scaling behavior of various quantities are consistent with mean-field exponents while for $1\ensuremath{\leqslant}\ensuremath{\delta}\ensuremath{\leqslant}2$, the exponents depend on $\ensuremath{\delta}$. The results are discussed in the context of earlier observations on the topology of the underlying network.

https://arxiv.org/pdf/cond-mat/0606138.pdf

Phase transitions in an Ising model on a Euclidean network.

Data and analysis.- Pareto's Law of Income Distribution: Evidence for Germany, the United Kingdom, and the United States.- Two-class Structure of Income Distribution in the USA: Exponential Bulk and Power-law Tail.- Pareto-Zipf, Gibrat's Laws, Detailed-Balance and their Breakdown.- Empirical study and model of personal income.- Blockbusters, Bombs and Sleepers: The Income Distribution of Movies.- Models and theories.- Emergent Statistical Wealth Distributions in Simple Monetary Exchange Models: A Critical Review.- Lagrange Principle of Wealth Distribution.- Carnot Process of Wealth Distribution.- Ideal-Gas Like Markets: Effect of Savings.- Kinetic Theory Models for the Distribution of Wealth: Power Law from Overlap of Exponentials.- Detailed Simulation Results for Some Wealth Distribution Models in Econophysics.- Dynamics of Money and Income Distributions.- Dynamic Process of Money Transfer Models.- A Stochastic Trading Model of Wealth Distribution.- Wealth Distribution in a Network with Correlations Between Links and Success.- The Monomodal, Polymodal, Equilibrium and Nonequilibrium Distribution of Money.- Relieving Poverty by Modifying Income and Wealth Distributions.- The Rich Are Different ! Pareto Law from Asymmetric Interactions in Asset Exchange Models.- Do We All Face the Same Constraints?.- Related studies.- A Stochastic Model of Wealth Distribution.- How the Rich Get Richer.- Power-Law Distribution in an Emerging Capital Market.- Statistical Analysis on Bombay Stock Market.- Funds Management by Banks in India: Solution to a Persisting Optimization Problem.- Income Distribution in the Boltzmann-Pareto Framework.- Comments and Discussions.- Econophys-Kolkata: A Short Story.- Econophysics of Wealth Distribution: A Comment.- Econophysics of Wealth Distributions: Workshop Summaries.

Arnab Chatterjee

Papers

Pareto Law in a Kinetic Model of Market with Random Saving Propensity

Invariant features of spatial inequality in consumption: The case of India

Zipf's law in city size from a resource utilization model

Phase transitions in an Ising model on a Euclidean network.

Econophysics of wealth distributions : Econophys-Kolkata I