A survey on Bogoliubov generating functionals for interacting particle systems in the continuum

نویسندگان

  • Dmitri L. Finkelshtein
  • Maria João Oliveira
  • D. Finkelshtein
  • M. J. Oliveira
چکیده

This work is a survey on Bogoliubov functionals and their applications to the study of stochastic evolutions on states of continuous infinite particle systems. 1 Bogoliubov generating functionals Let Γ := Γ Rd be the configuration space over R d , d ∈ N, Γ := { γ ⊂ R : |γ ∩Λ |< ∞ for every compact Λ ⊂ R }

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

Non-equilibrium stochastic dynamics of continuous systems and Bogoliubov generating functionals

Combinatorial harmonic analysis techniques are used to develop new functional analysis methods based on Bogoliubov functionals. Concrete applications of the methods are presented, namely the study of a non-equilibrium stochastic dynamics of continuous systems.

متن کامل

Markov evolutions and hierarchical equations in the continuum I. One-component systems

General birth-and-death as well as hopping stochastic dynamics of infinite particle systems in the continuum are considered. We derive corresponding evolution equations for correlation functions and generating functionals. General considerations are illustrated in a number of concrete examples of Markov evolutions appearing in applications.

متن کامل

Glauber dynamics in the continuum via generating functionals evolution

We construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of...

متن کامل

MULTICRITERION SYNTHESIS OF INTELLIGENT CONTROL SYSTEMS OF GENERATING UNIT OF NUCLEAR POWER STATION

The paper is devoted to solution of some problems in nuclear power station generating unit intellectual control systems using genetic algorithms on the basis of control system model development, optimizations methods of their direct quality indices and improved integral quadratic estimates. Some mathematical vector models were obtained for control system multicriterion quality indices with due ...

متن کامل

Scaling Limits of Additive Functionals of Interacting Particle Systems

Using the renormalization method introduced in [17], we prove what we call the local Boltzmann-Gibbs principle for conservative, stationary interacting particle systems in dimension d = 1. As applications of this result, we obtain various scaling limits of additive functionals of particle systems, like the occupation time of a given site or extensive additive fields of the dynamics. As a by-pro...

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 2013