On the relation between the Maximum Entropy Principle and the principle of Least Effort: The continuous case

Agouzal, Abdellatif; Lafouge, Thierry

doi:10.1016/j.joi.2007.10.002

Cited by 4 publications

(1 citation statement)

References 8 publications

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“…We can recall results obtained in previous studies (Agouzal and Lafouge, 2008): with h being an admissible effort function, there exists a real ! (ℎ) ≥ 0, so that:…”

Section: General Definition Of An Eipmentioning

confidence: 77%

The source-effort coverage of an exponential informetric process

Lafouge¹,

Agouzal²

2015

Journal of Informetrics

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International audienceLotkaian informetrics is the framework most often used to study statistical distributions in the production and usage of information. Although Lotkaian distributions are traditionally used to characterize the Information Production Process (IPP) , we have shown in a previous article that the IPP can successfully be studied using the effort function – the latter having been initially introduced to define the Exponential Informetric Process (EIP). These themes continue to be developed in this article , in which we present a necessary and sufficient condition for the existence of the EIP. Our current approach is similar to the one used to study IPPs. Inverse power and exponential distributions serve to illustrate the results obtained in the context of an EIP. Numerical examples are discussed

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“…We can recall results obtained in previous studies (Agouzal and Lafouge, 2008): with h being an admissible effort function, there exists a real ! (ℎ) ≥ 0, so that:…”

Section: General Definition Of An Eipmentioning

confidence: 77%

The source-effort coverage of an exponential informetric process

Lafouge¹,

Agouzal²

2015

Journal of Informetrics

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Relationship between the principle of least effort and the average cost of information in a zipfian context

Agouzal,

Lafouge,

Bertin

2024

Journal of Informetrics

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Generalizing the Boltzmann equation in complex phase space

Zadehgol

2016

Phys. Rev. E

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In this work, a generalized form of the BGK-Boltzmann equation is proposed, where the velocity, position, and time can be represented by real or complex variables. The real representation leads to the conventional BGK-Boltzmann equation, which can recover the continuity and Navier-Stokes equations. We show that the complex representation yields a different set of equations, and it can also recover the conservation and Navier-Stokes equations, at low Mach numbers, provided that the imaginary component of the macroscopic mass can be neglected. We briefly review the Constant Speed Kinetic Model (CSKM), which was introduced in Zadehgol and Ashrafizaadeh [J. Comp. Phys. 274, 803 (2014)JCTPAH0021-999110.1016/j.jcp.2014.06.053] and Zadehgol [Phys. Rev. E 91, 063311 (2015)PLEEE81539-375510.1103/PhysRevE.91.063311]. The CSKM is then used as a basis to show that the complex-valued equilibrium distribution function of the present model can be identified with a simple singularity in the complex phase space. The virtual particles, in the present work, are concentrated on virtual "branes" which surround the computational nodes. Employing the Cauchy integral formula, it is shown that certain variations of the "branes," in the complex phase space, do not affect the local kinetic states. This property of the new model, which is referred to as the "apparent jumps" in the present work, is used to construct new models. The theoretical findings have been tested by simulating three benchmark flows. The results of the present simulations are in excellent agreement with the previous results reported by others.

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On the relation between the Maximum Entropy Principle and the principle of Least Effort: The continuous case

Cited by 4 publications

References 8 publications

The source-effort coverage of an exponential informetric process

The source-effort coverage of an exponential informetric process

Relationship between the principle of least effort and the average cost of information in a zipfian context

Generalizing the Boltzmann equation in complex phase space

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