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During inflation, there is a preferred reference frame in which the expansion of the background spacetime is spatially isotropic. In contrast to Minkowski spacetime, observables can depend on the velocity of the system with respect to this…

General Relativity and Quantum Cosmology · Physics 2021-02-16 Tanguy Grall , Scott Melville

Social Security and other public policies can be viewed as a series of cash in and outflows that depend on parameters such as the age distribution of the population and the retirement age. Given forecasts of these parameters, policies can…

General Finance · Quantitative Finance 2012-01-31 Martin Gremm , Mark B. Wise

A unified approach to quintessence and inflation is investigated with the use of a single scalar field. It is argued that successful potentials have to approximate a combination of exponential and inverse power-law decline in the limit of…

Astrophysics · Physics 2007-05-23 Konstantinos Dimopoulos

We analyze wealth condensation for a wide class of stochastic economy models on the basis of the economic analog of thermodynamic potentials, termed transfer potentials. The economy model is based on three common transfers modes of wealth:…

Physics and Society · Physics 2009-11-11 Dieter Braun

It is still common wisdom amongst economists, politicians and lay people that economic growth is a necessity of our social systems, at least to avoid distributional conflicts. This paper challenges such belief moving from a purely physical…

General Economics · Economics 2020-05-11 Angelo Tartaglia

We consider inflation driven near a saddle point in a higher dimensional field space, which is the most likely type of slow roll inflation on the string theoretical landscape; anthropic arguments need to be invoked in order to find a…

High Energy Physics - Theory · Physics 2013-07-25 Diana Battefeld , Thorsten Battefeld

The paradox of enrichment was observed by M. Rosenzweig in a class of predator-prey models. Two of the parameters in the models are crucial for the paradox. These two parameters are the prey's carrying capacity and prey's half-saturation…

Populations and Evolution · Quantitative Biology 2015-03-19 Z. C. Feng , Y. Charles Li

The alignment tax is widely discussed but has not been formally characterized. We provide a geometric theory of the alignment tax in representation space. Under linear representation assumptions, we define the alignment tax rate as the…

Econometrics · Economics 2026-03-04 Robin Young

In the recent literature dealing with spatial extensions of the continuous Ramsey model, the capital accumulation process via time and space is modeled as a linear parabolic partial differential equation. The process of capital movement…

Optimization and Control · Mathematics 2019-09-06 L. Fredrick , G. Müller-Fürstenberger , E. W. Sachs , L. Somorowsky

The inherent intermittency of renewable sources like wind and solar has resulted in a bundling of renewable generators with storage resources (batteries) for increased reliability. In this paper, we consider the problem of energy sharing…

Systems and Control · Electrical Eng. & Systems 2020-05-20 Vivek Deulkar , Jayakrishnan Nair

In this paper we extend the work by Ryuzo Sato devoted to the development of economic growth models within the framework of the Lie group theory. We propose a new growth model based on the assumption of logistic growth in factors. It is…

Group Theory · Mathematics 2018-10-24 Roman G. Smirnov , Kunpeng Wang

We consider a financial network represented at any time instance by a random liability graph which evolves over time. The agents connect through credit instruments borrowed from each other or through direct lending, and these create the…

Risk Management · Quantitative Finance 2022-12-23 Indrajit Saha , Veeraruna Kavitha

We study the drivers and spatial diffusion of U.S. state population growth using a dynamic spatial model for 49 states, 1965-2017. Methodologically, we recover the spatial network structure from the data, rather than imposing it a priori…

Econometrics · Economics 2026-01-16 Sebastian Kripfganz , Vasilis Sarafidis

In the imprecise geometry model, the input is an imprecise point set, which is a family of regions $F = (R_1, \ldots,R_n)$, where for each $R_i$ one may retrieve the true point $p_i \in R_i$. By preprocessing $F$, we can construct the…

The existence of involuntary unemployment advocated by J. M. Keynes is a very important problem of the modern economic theory. Using a three-generations overlapping generations model, we show that the existence of involuntary unemployment…

General Economics · Economics 2020-12-23 Yasuhito Tanaka

All economies require physical resource consumption to grow and maintain their structure. The modern economy is additionally characterized by private debt. The Human and Resources with MONEY (HARMONEY) economic growth model links these…

Theoretical Economics · Economics 2021-06-07 Carey W. King

In Maslov (2003), a two level model of the occurrence of financial pyramid (bubbles) has been considered. We also considered the mathematical analogy of this model to Bose condensation. In the present paper, we explain why Ponzi schemes and…

General Finance · Quantitative Finance 2008-12-31 V. P. Maslov

We introduce and discuss optimal control strategies for kinetic models for wealth distribution in a simple market economy, acting to minimize the variance of the wealth density among the population. Our analysis is based on a finite time…

Physics and Society · Physics 2018-10-25 Bertram Düring , Lorenzo Pareschi , Giuseppe Toscani

We prove the existence of a Radner equilibrium in a model with proportional transaction costs on an infinite time horizon and analyze the effect of transaction costs on the endogenously determined interest rate. Two agents receive…

Mathematical Finance · Quantitative Finance 2018-02-27 Kim Weston

We study the ergodic and statistical properties of a class of maps of the circle and of the interval of Lorenz type which present indifferent fixed points and points with unbounded derivative. These maps have been previously investigated in…

Dynamical Systems · Mathematics 2008-12-16 Giampaolo Cristadoro , Nicolai Haydn , Philippe Marie , Sandro Vaienti