Markov Economies and Stochastic Dynamical

نویسنده

  • Albert Einstein
چکیده

Time-discrete stochastic processes are powerful tools for characterizing some dynamical systems. The prerequisites include an understanding of Markov processes (13.1). Time-discrete systems behave quite differently from dynamical systems based on systems of ordinary differential equations. This chapter presents a Markov model of adaptive learning that illustrates the concept of stochastic stability, as developed in Young (1998). After developing some of the theoretical results, we provide an agent-based model.

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

Dynamical Analysis of Yeast Cell Cycle Using a Stochastic Markov Model

Introduction: The cell cycle network is responsible of control, growth and proliferation of cells. The relationship between the cell cycle network and cancer emergence, and the complex reciprocal interactions between genes/proteins calls for computational models to analyze this regulatory network. Ample experimental data confirm the existence of random behaviors in the interactions between gene...

متن کامل

Dynamical Analysis of Yeast Cell Cycle Using a Stochastic Markov Model

Introduction: The cell cycle network is responsible of control, growth and proliferation of cells. The relationship between the cell cycle network and cancer emergence, and the complex reciprocal interactions between genes/proteins calls for computational models to analyze this regulatory network. Ample experimental data confirm the existence of random behaviors in the interactions between gene...

متن کامل

Arrival probability in the stochastic networks with an established discrete time Markov chain

The probable lack of some arcs and nodes in the stochastic networks is considered in this paper, and its effect is shown as the arrival probability from a given source node to a given sink node. A discrete time Markov chain with an absorbing state is established in a directed acyclic network. Then, the probability of transition from the initial state to the absorbing state is computed. It is as...

متن کامل

Bifurcation of one { dimensional stochastic

We consider families of random dynamical systems induced by parametrized one dimensional stochastic diierential equations. We give necessary and suucient conditions on the invariant measures of the associated Markov semigroups which ensure a stochastic bifurcation. This leads to suucient conditions on drift and diiusion coeecients for a stochastic pitchfork and transcritical bifurcation of the ...

متن کامل

Markov chains for random dynamical systems on p-adic trees

We study Markovian and non-Markovian behaviour of stochastic processes generated by random dynamical systems on p-adic trees. In fact, such systems can be interpreted as stochastic neural networks operating on branches of the homogeneous p-adic tree (where p > 1 is a prime number). Key-Words: Random dynamical systems, p-adic numbers, Markovian property

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 2011