Production networks amplify economic growth through technology diffusion.
problem Understanding how technology improvements propagate through production networks.
method Analyzing a production network model to study the effects of technological improvements.
result Longer production chains lead to faster price reduction and GDP growth.
Study measures economic growth sources in Iran's mining sector using neoclassical growth accounting.
problem Determining the share of economic growth sources in Iran's mining sector.
method Neoclassical growth accounting approach, using production function and Solow residual equation.
result Average annual growth rate of TFP was 2.94% over 30 years.
The study models productivity growth and cost shares in Japan and Korea.
problem Estimating productivity growth and cost shares in multifactor CES models.
method Regression of cost shares on factor prices using linked input-output tables.
result Economy-wide propagation of productivity stimuli evaluated in a multi-sectoral model.
Estimates growth of reciprocal classes in Hecke groups.
problem Estimating the growth of reciprocal conjugacy classes in Hecke groups.
method Using free product structure and word lengths of reciprocal elements, with tools from basic probability theory.
result Estimates the asymptotic growth of reciprocal conjugacy classes in Hecke groups.
Compact groups with polynomial growth have specific embeddings.
problem Understanding groups with polynomial growth.
method Embedding into semidirect products of Lie and compact groups.
result Groups can be embedded as co-compact subgroups.
Enhanced Gordon growth model for valuing financial products.
problem Valuation of financial products with time-varying interest rates and dividends.
method Dynamic Gordon growth model with time-varying spot interest rate and dividends, risk-neutral valuation, locally risk-minimizing strategy.
result Pricing and hedging formulas for dividend-paying European options and equity-linked life insurance products.
We analyze a database comprising quarterly sales of 55624 pharmaceutical products commercialized by 3939 pharmaceutical firms in the period 1992--2001. We study the probability density function (PDF) of growth in firms and product sales and find that the width of the PDF of growth decays with the sales as a power law w…
The study examines how automorphism growth rates of a group can be deduced from its simpler decompositions.
problem Determine automorphism growth rates of a group from its simpler decompositions.
method Analyze group decompositions into simpler pieces (direct products, free products, graph of groups) and deduce growth rates.
result Information about automorphism growth rates of a group can be deduced from its simpler decompositions.
Sharp growth estimates for warping functions in warped product manifolds.
problem Estimating growth of warping functions in warped product manifolds.
method Applying an average method in PDE to establish sharp inequalities.
result Sharp inequalities between mean curvature and sectional curvatures of the ambient manifold.
Bubbles are essential in certain economic models with high growth and low interest rates.
problem Asset price bubbles exceeding fundamental values.
method Developed the Bubble Necessity Theorem in economic models with specific growth and interest rate conditions.
result Bubbles are inevitable in certain economic scenarios with high growth and low interest rates.
Services contribute to economic growth by increasing complexity indices.
problem Understanding the role of services in economic growth and complexity.
method Combining network science and econometrics, analyzing data from developed and developing countries.
result Services have higher complexity indices than goods, indicating a potential route for economic growth.
We consider complete noncompact Riemannian manifolds with quadratically decaying lower Ricci curvature bounds and minimal volume growth. We first prove a rigidity result showing that ends with strongly minimal volume growth are isometric to warped product manifolds. Next we consider the almost rigid case in which manif…
Study reveals structural constraints on income inequality in Latin America.
problem Income inequality in Latin America compared to other economies.
method Product space, Product Gini Index, Xgini coefficient.
result LAC economies are more dependent on products related to high income inequality.
A simpler measure of economic complexity derived from product diversity.
problem Economic growth theory's reliance on GDP as the sole indicator of a country's capabilities.
method Log Product Diversity (LPD) derived from a combinatorial model of production.
result LPD better predicts economic growth than conventional variables like GDP and human capital.
China's wage growth syncs with GDP, unlike in developed countries.
problem Wage growth decoupling from GDP in developed countries.
method Comparative statistical evidence and productivity growth analysis.
result Rural flight from agriculture to manufacturing drives productivity growth in China.
Study conjugacy growth in free groups and products of finite groups.
problem Counting conjugacy classes of commutators in free groups and products of finite groups.
method Classification of commutators in free groups and products by Wicks, building on Rivin and Sharp's work.
result Asymptotic formula for conjugacy classes of commutators with given word length.
In this paper we formulate a geometric theory of the mechanics of growing solids. Bulk growth is modeled by a material manifold with an evolving metric. Time dependence of metric represents the evolution of the stress-free (natural) configuration of the body in response to changes in mass density and "shape". We show t…
Gross Domestic Product(GDP) is a widely used measurement of economic growth representing the market value of all final goods and services produced by a country within a given time. In this paper we question the assumption that GDP measures production, and suggest that in reality it merely captures changes in the rate o…
Study ancient caloric functions on graphs, extending a theorem from manifolds.
problem Bounding the dimension of ancient caloric functions on graphs.
method Extending Colding and Minicozzi's theorem to graphs.
result Dimension of ancient caloric functions is bounded by growth degree and graph dimension.
Unified Growth Theory disproved by lack of economic takeoffs.
problem The absence of economic takeoffs from stagnation to growth.
method Analysis of historical economic growth data.
result Takeoffs from stagnation to growth never occurred.
Model shows economic growth without total wealth conservation.
problem Understanding economic growth without total wealth conservation.
method Kinetic wealth-exchange model with Monte Carlo and mean field approximation.
result Piketty's second law emerges as an emergent property.
The key idea of this model is that firms are the result of an evolutionary process. Based on demand and supply considerations the evolutionary model presented here derives explicitly Gibrat's law of proportionate effects as the result of the competition between products. Applying a preferential attachment mechanism for…
Simple math predicts growth trends.
problem Complex growth projections are hard to understand.
method Direct or indirect analysis of growth rates.
result Simple assumptions lead to understandable growth predictions.
Every production-recycling iteration accumulates an inevitable proportion of its matter-energy in the environment, lest the production process itself would be a system in perpetual motion, violating the second law of Thermodynamics. Such high-entropy matter depletes finite stocks of ecosystem services provided by the e…
New model predicts global oil production and consumption through 2050.
problem Inaccurate past oil production forecasts leading to public interest.
method Analyzes past regional oil production data to predict future production and consumption.
result Predicts global oil production and consumption through 2050, highlighting limited potential for unconventional oil.
Consider the wreath product H≀G, where H=1 is finite and G is finitely generated. We show that the Assouad-Nagata dimension dimAN(H≀G) of H≀G depends on the growth of G as follows: If the growth of G is not bounded by a linear function, then dimAN(H≀G)=∞, otherwise $\dim_{AN}…
We prove that the semistability growth of hyperbolic groups is linear, which implies that hyperbolic groups which are sci (simply connected at infinity) have linear sci growth. Based on the linearity of the end-depth of finitely presented groups we show that the linear sci is preserved under amalgamated products over f…
Two rigidity theorems for manifolds with nonnegative Ricci curvature and specific volume growth.
problem Characterizing manifolds with nonnegative Ricci curvature and specific volume growth properties.
method Rigidity theorems based on volume growth and existence of harmonic functions.
result Conditions for the Riemannian universal cover to have Euclidean volume growth and existence of nonconstant linear growth harmonic functions.
Growth rate of the world Growth Domestic Product (GDP) is analysed to determine possible pathways of the future economic growth. The analysis is based on using the latest data of the World Bank and it reveals that the growth rate between 1960 and 2014 was following a trajectory approaching asymptotically a constant val…
Study excursions of geodesics in RAAGs and graph products, finding a log(n) max excursion.
problem Understanding geodesic excursions in RAAGs and graph products.
method Defined and studied excursions in subgroups of groups, focusing on right-angled Artin groups and graph products.
result Max excursion of generic geodesics in flat tends to log(n) for irreducible RAAGs.
Countries rarely enter unrelated products, but those that do grow faster.
problem Understanding the benefits of entering unrelated products for economic growth.
method Identifying periods of unrelated product entry through analysis of 93 countries' exports from 1965 to 2014.
result Countries entering more unrelated products experience a small but significant increase in future economic growth.
This paper develops a valuation model for private companies.
problem Lack of pricing and hedging models for private companies.
method Dynamic Gordon growth model, Maximum Likelihood (ML) estimators, Expectation Maximization (EM) algorithm.
result Closed-form pricing and hedging formulas for private companies.
New trick builds hyperbolic manifolds from compact ones, proving some don't virtually fiber.
problem Proving some hyperbolic manifolds don't virtually fiber.
method Hyperbolic reflection group trick, embedding theory, manifold topology.
result Constructed Gromov hyperbolic 7-manifolds that don't virtually fiber over a circle.
Study on hyperbolic groups, focusing on separability and splittings.
problem Coarse separability and splittings in hyperbolic groups.
method Quantitative analysis of volume growth and cut-sets, focusing on thickened spheres.
result One-ended hyperbolic groups that are not virtually surface groups are coarsely separable by a subset of subexponential growth if and only if they split over a virtually cyclic subgroup.
Formula derived for spherical growth series of specific groups.
problem Calculating the spherical growth series of specific groups.
method Developed a formula and derived a rational function expression for the spherical growth series.
result Explicit rational function expressions for the spherical growth series of specific groups.
We analyze the fluctuations in the gross domestic product (GDP) of 152 countries for the period 1950--1992. We find that (i) the distribution of annual growth rates for countries of a given GDP decays with ``fatter'' tails than for a Gaussian, and (ii) the width of the distribution scales as a power law of GDP with a s…
New approach models sustained growth leading to stationary distributions.
problem Understanding stationary distributions in fast-growing systems.
method Applied discrete and continuous master equations, derived rates from stationary distributions.
result Reconstructed distributions for various growing systems.
This paper investigates the statistical properties of within-country GDP and industrial production (IP) growth rate distributions. Many empirical contributions have recently pointed out that cross-section growth rates of firms, industries and countries all follow Laplace distributions. In this work, we test whether als…
Study compares three performance metrics of Bangladeshi banks.
problem Comparing different performance metrics of commercial banks.
method Empirical framework using MPI, ROA, TSR over 2011-2015.
result Productivity growth was recorded, but profitability and stock performance were negative.
We introduce a model of proportional growth to explain the distribution of business firm growth rates. The model predicts that the distribution is exponential in the central part and depicts an asymptotic power-law behavior in the tails with an exponent 3. Because of data limitations, previous studies in this field hav…
Warning signs about the developing economic crisis in Greece were present in the growth rate of the Gross Domestic Product (GDP) and in the growth of the GDP well before the economic collapse. The growth rate was strongly unstable. On average, in less than 50 years, it decreased 10-folds but after reaching a low minimu…
Research shows growth in Higgs field strength for certain equations.
problem Understanding behavior of Higgs field in Kapustin-Witten equations.
method Analyzes equations for connections and Higgs fields on R^4.
result Growth of Higgs field norm on large radius spheres.
This paper describes an agent-based model of interacting firms, in which interacting firm agents rationally invest capital and labor in order to maximize payoff. Both transactions and production are taken into account in this model. First, the performance of individual firms on a real transaction network was simulated.…
New examples of Calabi-Yau 3-folds with unique properties.
problem Finding new Calabi-Yau 3-folds with specific properties.
method Constructing complete Calabi-Yau metrics on smoothings of 3-dimensional Calabi-Yau cones with orbifold singularities.
result Examples of Calabi-Yau 3-folds with maximal volume growth and orbifold singularities.
The global economy growth is modeled using econophysics and sociophysics.
problem Understanding the long-term evolution of global economic growth.
method Using econophysics and sociophysics, the study models the global economy growth using exponential and power-like functions.
result The global economy growth can be modeled using exponential and power-like functions, with the power-like dependence emerging in the last quarter of the century.
We consider a heterogeneous agent-based economic model where economic agents have strictly bounded rationality and where income allocation strategies evolve through selective imitation. Income is calculated by a Cobb-Douglas type production function, and selection of strategies for imitation depends on the income growt…
We introduce a model of proportional growth to explain the distribution P(g) of business firm growth rates. The model predicts that P(g) is Laplace in the central part and depicts an asymptotic power-law behavior in the tails with an exponent ζ=3. Because of data limitations, previous studies in this field have b…
Study reveals supply chain correlations in firm growth rates.
problem Understanding correlations in firm growth rates and their supply chain relationships.
method Investigated correlation structure of firm growth rates and used Gaussian Markov Models to reconstruct supply chain networks.
result Supply chain-linked firms exhibit stronger correlation in growth rates than non-linked firms.