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We extend the work on optimal investment and consumption of a population considered in [2] to a general stochastic setting over a finite time horizon. We incorporate the Cobb-Douglas production function in the capital dynamics while the…

Analysis of PDEs · Mathematics 2024-08-15 Hao Liu , Suresh P. Sethi , Tak Kwong Wong , Sheung Chi Phillip Yam

This paper investigates optimal consumption in the stochastic Ramsey problem with the Cobb-Douglas production function. Contrary to prior studies, we allow for general consumption processes, without any a priori boundedness constraint. A…

Optimization and Control · Mathematics 2021-07-15 Yu-Jui Huang , Saeed Khalili

Based on a multisector general equilibrium framework, we show that the sectoral elasticity of substitution plays the key role in the evolution of asymmetric tails of macroeconomic fluctuations and the establishment of robustness against…

General Economics · Economics 2024-12-31 Satoshi Nakano , Kazuhiko Nishimura

Entropy production is the hallmark of nonequilibrium physics, quantifying irreversibility, dissipation, and the efficiency of energy transduction processes. Despite many efforts, its measurement at the nanoscale remains challenging. We…

Biological Physics · Physics 2024-03-29 I. Di Terlizzi , M. Gironella , D. Herraez-Aguilar , T. Betz , F. Monroy , M. Baiesi , F. Ritort

Let $(\Sigma_A, \sigma)$ be a subshift of finite type and let $M(x)$ be a continuous function on $\Sigma_A$ taking values in the set of non-negative matrices. We extend the classical scalar pressure function to this new setting and prove…

Dynamical Systems · Mathematics 2007-05-23 De-Jun Feng , Ka-Sing Lau

Existing variational mesh functionals often suffer from strong nonlinearity or dependence on empirical parameters.We propose a new variational functional for adaptive moving mesh generation that enforces equidistribution and alignment…

Numerical Analysis · Mathematics 2026-01-29 Wenbin Wang , Yunqing Huang , Huayi Wei

We advance the proxy variable approach to production function estimation. We show that the invertibility assumption at its heart is testable. We characterize what goes wrong if invertibility fails and what can still be done. We show that…

Econometrics · Economics 2025-07-28 Ulrich Doraszelski , Lixiong Li

This paper develops a new generation of the Keynesian Intertemporal Synthesis (KIS) Model, a macroeconomic framework designed to reconcile the empirical strengths of the Post-Keynesian (PK) and New Keynesian (NK) traditions. The central…

Theoretical Economics · Economics 2025-08-04 Ricardo Alonzo Fernández Salguero

The discovery of configurational forces acting on elastic structures and its initial applications are reviewed. Configurational forces are related to the possibility that an elastic structure can change its configuration, thus inducing a…

Soft Condensed Matter · Physics 2022-11-24 Davide Bigoni , Federico Bosi , Francesco Dal Corso , Diego Misseroni

We develop a generalized control function approach to production function estimation. Our approach accommodates settings in which productivity evolves jointly with other unobservable factors such as latent demand shocks and the…

Econometrics · Economics 2025-12-10 Ulrich Doraszelski , Lixiong Li

The Multiplicative Error Model (Engle (2002)) for nonnegative valued processes is specified as the product of a (conditionally autoregressive) scale factor and an innovation process with nonnegative support. A multivariate extension allows…

Statistical Finance · Quantitative Finance 2016-04-06 Fabrizio Cipollini , Robert F. Engle , Giampiero M. Gallo

Stochastic fluctuations of molecular abundances are a ubiquitous feature of cellular processes and lead to significant cell-to-cell variability. Recent theoretical work established lower bounds for stochastic fluctuations in cells for broad…

Molecular Networks · Quantitative Biology 2025-05-06 Brayden Kell , Andreas Hilfinger

This paper expounds the design and control of a new Variable Stiffness Series Elastic Actuator (VSSEA). It is established by employing a modular mechanical design approach that allows us to effectively optimise the stiffness modulation…

Robotics · Computer Science 2023-01-04 Emre Sariyildiz , Rahim Mutlu , Jon Roberts , Chin-Hsing Kuo , Barkan Ugurlu

This paper deals with the problem of measurable lifting modification for stochastic processes in its most general form and with the 'product lifting problem'. Solutions to the positive are reduced to the existence of marginals with respect…

Probability · Mathematics 2019-01-28 N. D. Macheras , W. Strauss

This paper discusses desirable properties of forecasting models in production systems. It then develops a family of models which are designed to satisfy these properties: highly customizable to capture complex patterns; accommodates a large…

Methodology · Statistics 2021-05-05 Reza Hosseini , Kaixu Yang , Albert Chen , Sayan Patra

A partially-wetting liquid can deform the underlying elastic substrate upon which it rests. This situation requires the development of theoretical models to describe the wetting forces imparted by the drop onto the solid substrate,…

Soft Condensed Matter · Physics 2014-05-02 Joshua B. Bostwick , Michael Shearer , Karen E. Daniels

This note proves that the representation of the Allen elasticity of substitution obtained by Uzawa for linear homogeneous functions holds true for nonhomogeneous functions. It is shown that the criticism of the Allen-Uzawa elasticity of…

Econometrics · Economics 2018-02-21 Elena Burmistrova , Sergey Lobanov

The dynamical properties of classical fluids at pico-liter scale attract experimentally and theoretically much attention in the soft-matter and biophysics communities, due to the appearance of the microfluidics, also called 'lab-on-a-chip',…

Statistical Mechanics · Physics 2007-05-23 F. Penna , P. Tarazona

For single components fluids, vanishing isothermal compressibility implies that the mass density is constant, but the same conclusion is unknown for multicomponent fluids. Here the volume remains affected by changes of the composition. In…

Fluid Dynamics · Physics 2024-12-09 Pierre-Etienne Druet

Several implications of well-known fluctuation theorems, on the statistical properties of the entropy production, are studied using various approaches. We begin by deriving a tight lower bound on the variance of the entropy production for a…

Statistical Mechanics · Physics 2015-05-20 Neri Merhav , Yariv Kafri