The Maximum Entropy Production Principle: Its Theoretical Foundations and Applications to the Earth System [PDF]
, 2010 The Maximum Entropy Production (MEP) principle has been remarkably successful in producing accurate predictions for non-equilibrium states. We argue that this is because the MEP principle is an effective inference procedure that produces the best ...
Axel Kleidon +4 more
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Pontryagin Maximum Principle for Distributed-Order Fractional Systems
Mathematics, 2021 We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove a strong necessary optimality condition of Pontryagin type.
Faïçal Ndaïrou, Delfim F. M. Torres
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A maximum principle related to volume growth and applications [PDF]
Annali di Matematica Pura ed Applicata, 2020 In this paper, we derive a new form of maximum principle for smooth functions on a complete noncompact Riemannian manifold M for which there exists a bounded vector field X such that ⟨∇f,X⟩≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
L. Alías, A. Caminha, F. Nascimento
semanticscholar +1 more source
Maximum principle for discrete-time stochastic optimal control problem and stochastic game
Mathematical Control and Related Fields, 2021 This paper is first concerned with one kind of discrete-time stochastic optimal control problem with convex control domains, for which necessary condition in the form of Pontryagin's maximum principle and sufficient condition of optimality are derived ...
Zhen Wu, Feng Zhang
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Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation [PDF]
SIAM Journal on Numerical Analysis, 2019 The nonlocal Allen--Cahn equation, a generalization of the classic Allen--Cahn equation by replacing the Laplacian with a parameterized nonlocal diffusion operator, satisfies the maximum principle ...
Q. Du, L. Ju, Xiao Li, Zhonghua Qiao
semanticscholar +1 more source
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations [PDF]
Journal of Computational Physics, 2019 In this work, we present a second-order nonuniform time-stepping scheme for the time-fractional Allen-Cahn equation. We show that the proposed scheme preserves the discrete maximum principle, and by using the convolution structure of consistency error ...
Hong-lin Liao, T. Tang, Tao Zhou
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Abolishing the maximum tension principle
Physics Letters B, 2015 We find the series of example theories for which the relativistic limit of maximum tension Fmax=c4/4G represented by the entropic force can be abolished.
Mariusz P. Da̧browski, H. Gohar
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Utility Function from Maximum Entropy Principle
Entropy, 2006 Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function.
Amir H. Darooneh
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Sufficient Stochastic Maximum Principle in a Regime-Switching Diffusion Model [PDF]
, 2011 We prove a sufficient stochastic maximum principle for the optimal control of a regime-switching diffusion model. We show the connection to dynamic programming and we apply the result to a quadratic loss minimization problem, which can be used to solve a
Catherine Donnelly, Donnelly, Catherine
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Risk-Sensitive Maximum Principle for Controlled System with Delay
Mathematics, 2023 Risk-sensitive maximum principle and verification theorem for controlled system with delay is obtained by virtue of classical convex variational technique.
Peng Wang
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