Unified Growth Theory contradicted by USSR economic data.
problem Unified Growth Theory fails to explain USSR economic growth.
method Analysis of historical USSR economic data.
result USSR economic growth was hyperbolic, not stagnant.
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48 results for “Unified Growth Theory”
Unified Growth Theory contradicted by Latin American economic data.
problem Unified Growth Theory fails to explain Latin American economic growth.
method Analysis of historical economic growth data from Maddison.
result Unified Growth Theory is inconsistent with Latin American data.
Unified Growth Theory contradicted by African economic data.
problem Contradiction between Unified Growth Theory and African economic growth data.
method Analysis of Galor's data for African countries.
result Data contradicts Unified Growth Theory's claims about economic growth regimes.
Unified Growth Theory contradicted by Asian economic data.
problem Unified Growth Theory fails to explain Asian economic growth.
method Analysis of historical economic growth data in Asia.
result Asian economic growth was hyperbolic, not stagnant.
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.
Unified Growth Theory debunked: economic growth is insecure and unsustainable.
problem The mystery of the great divergence in income per capita.
method Analysis of economic data to show that growth trajectories are increasing vertically over time.
result Unified Growth Theory is incorrect and promotes misleading concepts.
The Unified Growth Theory is a puzzling collection of myths based on illusions created by hyperbolic distributions. Some of these myths are discussed. The examination of data shows that the three stages of growth (Malthusian Regime, Post-Malthusian Regime and Modern Growth Regime) did not exist and that Industrial Revo…
Unified Growth Theory found to be incorrect by GDP/cap data analysis.
problem Misinterpretation of historical GDP/cap distributions.
method Analysis of mathematical properties of historical GDP/cap distributions.
result Unified Growth Theory contradicted by data, showing a single growth process.
Galor's mysterious income growth rate is debunked, revealing data manipulation.
problem Mysterious sudden spurt in income per capita growth rate.
method Mathematical analysis of historical world economic growth data.
result The sudden spurt in income per capita growth rate is an artifact of data presentation.
Unified theory explains housing cycle across metros, showing credit expansion impacts.
problem Puzzling correlations between income and mortgage growth across ZIP codes and metros.
method Unified credit expansion theory, double differences, instrumental variables.
result Credit expansion drives housing cycle, affecting boom, bust, and recovery phases.
Historical income per capita data follow hyperbolic growth patterns.
problem Economic stagnation and Malthusian traps in historical data.
method Fitting hyperbolic distributions to GDP/capita and population data.
result Income per capita growth was monotonic and without transitions.
Unified framework for deep neural networks using capsule networks.
problem Unified description of deep neural networks.
method Formalized neural networks mathematically, set up a unified capsule framework.
result Unified framework simplifies existing deep neural networks and provides theoretical basis.
Recent research in economic theory attempts to study optimal economic growth and spatial location of economic activity in a unified framework. So far, the key result of this literature - asymptotic convergence, even in the absence of decreasing returns to capital - relies on specific assumptions about the objective of …
Unified approach to equity markets with open and hybrid Jacobi models.
problem Stochastic Portfolio Theory problems in equity markets.
method Combining open markets and hybrid Jacobi processes.
result Stability of capital distribution curve and growth optimal strategies.
Simplifies analysis of hyperbolic distributions in demographic and economic research.
problem Fundamental postulates of demographic and economic research contradicted by data.
method Simple method of reciprocal values for identifying and analyzing hyperbolic distributions.
result Fundamental postulates of demographic and economic research are incorrect.
Unified theory for curved shell deformations with elastic and inelastic components.
problem Coupled nonlinear elastic and inelastic deformations of curved thin shells.
method Multiplicative decomposition of surface deformation gradient, detailed kinematics analysis, surface balance laws, constitutive relations derived from thermodynamics.
result Unified constitutive relations for growth, chemical swelling, thermoelasticity, viscoelasticity and elastoplasticity of shells.
Paper introduces new risk measures for Kelly criterion.
problem Aggressive Kelly criterion investment strategy.
method Unified approach to risk assessment in Kelly criterion.
result Two new measures for quantifying risk.
New insights into groups with uniform exponential growth.
problem Uniform exponential growth in hierarchically hyperbolic groups.
method Quasi-isometric characterization and new insights into group structure.
result Uniform exponential growth for hierarchically hyperbolic groups.
Study on Kähler manifolds connects curvature decay with growth of holomorphic functions.
problem Analyzing properties of Kähler manifolds with nonnegative bisectional curvature.
method Established precise relations among minimal degree, volume growth, and scalar curvature decay.
result Unified understanding of Kähler-Ricci flow through polynomial growth holomorphic functions.
Unified model explains income inequality across countries.
problem Understanding and explaining income inequality across different countries.
method Analytical model based on a master equation with growth and reset terms, tested on real data.
result Income distributions collapse on a master-curve when normalized, suggesting a universal pattern.
Unified framework for growth models with environmental risk and pollution-dependent disasters.
problem Analyzing how rare but catastrophic shocks interact with capital accumulation and pollution in stochastic growth models.
method General Poisson point process formulation leading to non-local HJB equations with closed-form solutions.
result Unified framework captures how environmental degradation amplifies macroeconomic vulnerability and strengthens incentives for abatement.
Growth of spinors in 4D and 3D generalized Seiberg-Witten equations.
problem Proving growth of spinors in GSW equations on and .
method Unified framework of GSW equations, averaged -norm, curvature decay assumption, Yang-Mills-Higgs energy.
result Growth of spinors in GSW equations on and faster than a power of the radius under suitable curvature decay.
Mathematical study of excess growth rate connects info theory with finance.
problem Understanding the excess growth rate in portfolio theory.
method Axiomatic characterization theorems of excess growth rate in terms of relative entropy, Jensen's inequality gap, and logarithmic divergence.
result Established rich connections between information theory and finance.
The paper explains how speculative supply and demand amplify financial market fluctuations.
problem The wild fluctuations of financial prices.
method Formally, the paper shows that asset returns follow a multiplicative random growth with exogenous input.
result The theory explains the power-law distribution of returns and related variables.
Consider the one-parameter generalizations of the logarithmic and exponential functions which are obtained from the integration of non-symmetrical hyperboles. These generalizations coincide to the one obtained in the context of non-extensive thermostatistics. We show that these functions are suitable to describe and un…
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…
The paper studies rough cohomology and index theory on polynomial growth manifolds.
problem Analyzing cohomology and index classes on manifolds with polynomial growth.
method Using coarse and rough cohomology, K-theory, and Roe algebras.
result Non-vanishing of rough index classes and obstructions to positive scalar curvature.
Study preferences over uncertain time payments, finds growth-optimality better than expected utility theory.
problem Understanding how people make decisions with uncertain timing of payments.
method Normative model of growth-optimality, revisiting experimental evidence on time lotteries.
result Growth-optimality better explains experimental data on time lotteries than expected discounted utility theory.
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.
Study groups with contracting elements using SCC actions.
problem Understanding the asymptotic geometry of groups with contracting elements.
method Exploiting an extension lemma to prove properties of SCC actions.
result Groups with SCC actions contain large free sub-semigroups, have purely exponential growth, and have barrier-free sets with a growth-tight property.
Study local control of a specific mechanism with growth vector (4,7).
problem Local control of a mechanism with a specific growth vector.
method Controllability and extremal trajectories on the nilpotent approximation.
result Solutions of the system and examples of local extremal trajectories.
Geometric group theory explores groups through their geometric properties.
problem Understanding groups via geometric properties.
method Cayley and Schreier graphs, ping-pong lemma, quasi-isometries, growth of groups, hyperbolicity.
result Gromov's theorem on groups of polynomial growth and amenability.
The paper defines higher invariants for groups of polynomial growth and proves their convergence.
problem Defining and proving convergence of higher invariants for groups of polynomial growth.
method Using delocalized cyclic cocycles and a determinant map construction.
result A well-defined pairing between delocalized cyclic cocyles and K-theory classes of C*-algebraic secondary higher invariants.
Study on insurer solvency under economic growth and run-off conditions.
problem Impact of economic growth on insurer ruin probabilities.
method Comprehensive model with varying business volumes, focusing on run-off companies.
result Sharp asymptotic estimates for infinite time ruin probabilities.
Outperformance and Tracking: Dynamic Asset Allocation for Active and Passive Portfolio Managementq-fin.PM
Unified framework for active and passive portfolio management combining outperformance and tracking.
problem Combining active and passive portfolio management objectives.
method Dynamic asset allocation using stochastic control techniques.
result Explicit closed-form expressions for optimal asset allocation.
P.W. Anderson proposed the concept of complexity in order to describe the emergence and growth of macroscopic collective patterns out of the simple interactions of many microscopic agents. In the physical sciences this paradigm was implemented systematically and confirmed repeatedly by successful confrontation with rea…
Sharp growth tightness proven for group quotients.
problem Growth behavior of group quotients by confined subgroups.
method Statistically convex-cocompact action with contracting elements.
result Sharp growth tightness proven, with applications to uniformly recurrent subgroups.
Unified framework for network model assessment using maximum entropy.
problem Statistical inference for network models.
method Constrained entropy-maximization problem, Lagrange multipliers.
result Consistent goodness-of-fit and two-sample tests for network models.
Firms Growth Dynamics, Competition and Power Law Scalingcond-mat.stat-mech
We study the growth dynamics of the size of manufacturing firms considering competition and normal distribution of competency. We start with the fact that all components of the system struggle with each other for growth as happened in real competitive bussiness world. The detailed quantitative agreement of the theory w…
New potential theory on minimal hypersurfaces shows stable growth of solutions near singularities.
problem Analyzing potential theory on minimal hypersurfaces.
method Introducing Hardy structures to study classical operators and showing stable growth of solutions.
result Minimal growth of positive solutions of Lw = 0 is stable and persists under perturbations or blow-ups.
Paper studies flows of spinor fields with flux for unified theories.
problem Existence of covariantly constant spinors in unified theories.
method Introduces parabolic flows of spinor fields to find stationary points.
result Establishes short-time existence and smoothing estimates for spinor flows.
Unified market making controls risk, arbitrage, and volatility surfaces.
problem Market making risk, arbitrage, and volatility surface consistency.
method Constrained RL and stochastic control for risk-sensitive execution and hedging.
result Agent achieves positive P&L with zero calendar and butterfly violations.
New proof linking scalar curvature to volume growth on 3-manifolds.
problem Relating scalar curvature to volume growth on 3-manifolds.
method Theory of μ-bubbles and almost splitting theorem.
result New proof of recent result by Munteanu--Wang.
Lie groups applied to tech progress in economic growth.
problem Understanding the impact of technical progress on economic growth.
method Application of Lie theory and economic modeling.
result Estimation of GDP function for Viet Nam, highlighting tech progress impact.
The study applies Dimensional Analysis to the neoclassical economic growth model.
problem Inconsistency in the neoclassical economic growth model.
method Dimensional Analysis was used to evaluate and adjust the model.
result An adjustment to the neoclassical economic growth model is required to satisfy the principle of dimensional homogeneity.
The paper analyzes growth rates and volatility in the 20th century.
problem Understanding the relationship between economic growth and volatility.
method Analyzes historical data of GDP per capita growth rates and volatility.
result A significant negative scale-relation between volatility and size of countries emerged after 1956.
Survey of geometric flows from unified string theories.
problem None explicitly stated, but related to understanding geometric flows in string theories.
method Survey of geometric flows in various geometries (complex, almost-complex, symplectic) motivated by string theories.
result Intermediate flows between Ricci and Kähler-Ricci flows, often coupled to additional fields.
Unified description of Weierstrass-type representations.
problem Creating surfaces with special curvature properties.
method Unified description using classical transformation theory of Ω-surfaces.
result Unified understanding of Weierstrass-type representations.