Cities as Evolutionary Systems in Random Media∗

نویسنده

  • Leonid Bogachev
چکیده

The purpose of the paper is to discuss some potential applications of random media theory to urban modelling, with the emphasis on the intermittency phenomenon. The moment test of intermittency is explained using the model of continuous-time branching random walk on the integer lattice Zd with random branching rates. Statistical moments of the population density are studied using a Cauchy problem for the Anderson operator with random potential. The Feynman–Kac representation of the solution is discussed, and Lyapunov exponents responsible for the super-exponential growth of the moments are evaluated. The higher-order Lyapunov exponents are also obtained. The results suggest that the higher-order intermittency is reduced, in a sense, to that of the mean population density.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Random Evolutions

This article gives a short presentation of random evolutions. At first, the following two examples are presented: dynamical stochastic systems and increment processes both in Markov media. After, an introduction to semi-Markov Random evolution in a Banach space is given, where the previous evolutionary systems are obtained as particular cases. Finally, two abstract limit theorems of average and...

متن کامل

SECURING INTERPRETABILITY OF FUZZY MODELS FOR MODELING NONLINEAR MIMO SYSTEMS USING A HYBRID OF EVOLUTIONARY ALGORITHMS

In this study, a Multi-Objective Genetic Algorithm (MOGA) is utilized to extract interpretable and compact fuzzy rule bases for modeling nonlinear Multi-input Multi-output (MIMO) systems. In the process of non- linear system identi cation, structure selection, parameter estimation, model performance and model validation are important objectives. Furthermore, se- curing low-level and high-level ...

متن کامل

Investigation of pore-scale random porous media using lattice boltzmann method

The permeability and tortuosity of pore-scale two and three-dimensional random porous media were calculated using the Lattice Boltzmann method (LBM). Effects of geometrical parameters of medium on permeability and tortuosity were investigated as well. Two major models of random porous media were reconstructed by computerized tomography method: Randomly distributed rectangular obstacles in a uni...

متن کامل

APPLICATION OF EVOLUTIONARY POLYNOMIAL REGRESSION IN ULTRAFILTRATION SYSTEMS CONSIDERING THE EFFECT OF DIFFERENT PARAMETERS ON OILY WASTEWATER TREATMENT

In the present work, the effects of operating conditions including pH, transmembrane pressure, oil concentration, and temperature on fouling resistance and the rejection of turbidity for a polymeric membrane in an ultrafiltration system of wastewater treatment were studied. A new modeling technique called evolutionary polynomial regression (EPR) was investigated. EPR is a method based on regres...

متن کامل

Analysis of the Evolutionary Game Theory in Agent-Based Computational Systems: OPEC Oil-Producing Countries

This study suggests a new method for analysing the behavioral economics issues in the framework of game theory. In this context, bounded rational agents interact with one another in a strategic manner. Therefore, conventional economic modeling techniques are unable to explaine this kind of interactions. In this regard, evolutionary game theory and agent-based modeling are known as the most suit...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007