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What is Brownian Motion

Handbook of Research on Financial and Banking Crisis Prediction through Early Warning Systems
A mathematical model used to describe random movements.
Published in Chapter:
Understanding Chaos as an Indicator of Economic Stability
Rohnn B. Sanderson (Brescia University, USA)
DOI: 10.4018/978-1-4666-9484-2.ch017
Abstract
With what appears to be the increasing sensitivity of economic/financial systems to various events, whether they be natural disaster, changing financial products or government policy, the need to understand how volatility has changed in modern economic systems and how to recognize when volatility will occur is a topic that is extremely important. This topic has been categorized under various topics such as: business cycles, chaos, dynamic systems, fractals, Brownian motion and super cycles just to name a few. The author believes that all of these areas need to be considered at once when analyzing dynamic phenomena which may have varying degrees of the aforementioned. This chapter will implement a Hicksian Accelerator to develop a framework for stylized facts of general dynamic macroeconomic behavior. The chapter will then implement the model and begin the process of estimating the degree of and sensitivity to volatility in a macro economy.
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More Results
Macroscopic Group Robots Inspired By “Brownian Motion”
Displacement fluctuation of pollen particles due to collision of surrounding liquid molecules.
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Diffusion Tensor Imaging and Fiber Tractography
(named in honor of the botanist Robert Brown) is the random movement of particles suspended in a liquid or gas or the mathematical model used to describe such random movements, often called a particle theory.
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Generating Simulated DT-MRI Dataset
The random movement of particles suspended in a fluid and the mathematical model used to describe such random movements.
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