• Corpus ID: 239769047

Brownian Motion&The Stochastic Behaviour of Stocks

@inproceedings{Protonotarios2021BrownianMS,
  title={Brownian Motion\&The Stochastic Behaviour of Stocks},
  author={Yorgos Protonotarios and Pantelis Tassopoulos},
  year={2021}
}
In 1827, a botanist by the name of Robert Brown was examining the motion of grains of pollen suspended under water from a species of plants. Brown observed the motion of the particles ejected from these pollen grains which followed a seemingly ”jittery” motion; this was the first ever recorded case of Brownian motion, named after Robert Brown. The idea behind this type of motion being that the trajectory follows a completely random and ”unpredictable” path. Since then, the concept of an… 

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References

SHOWING 1-10 OF 13 REFERENCES
ON THE PARTICLES CONTAINED IN THE POLLEN OF PLANTS;
A brief account of microscopical observations made in the months of June, July and August, 1827, on the particles contained in the pollen of plants; and on the general existence of active molecules
Stochastic Differential Equations
We explore in this chapter questions of existence and uniqueness for solutions to stochastic differential equations and offer a study of their properties. This endeavor is really a study of diffusion
XXVII. A brief account of microscopical observations made in the months of June, July and August 1827, on the particles contained in the pollen of plants; and on the general existence of active molecules in organic and inorganic bodies
m . j . B , / £ / BY ROBERT BROWN, F . R . S . , HON. M . R . & E . & R . I . ACAD., V . P . L . S . M E M B E R OF T H E R O Y A L A C A D E M Y OF S C I E N C E S OF S W E D E N , OF T H E R O Y A
Stochastic Portfolio Theory
In this chapter we introduce the basic definitions for stocks and portfolios, and prove preliminary results that are used throughout the later chapters. The mathematical definitions and notation that
An Introduction to Stochastic Integration
The aim of this appendix is to provide all necessary definition and results with respect to Martingales and stochastic integration. Since some of the underlying properties and theorems require a lot
Introduction to Probability
The articles [8], [9], [4], [7], [6], [2], [5], [1], and [3] provide the notation and terminology for this paper. For simplicity, we adopt the following convention: E denotes a non empty set, a
Foundations of the theory of probability
Theories of ProbabilityFoundations of Probabilistic Logic ProgrammingGood ThinkingStatistical Foundations of Data ScienceFoundations of Risk AnalysisFoundations of Estimation TheoryThe Foundations of
Théorie de la spéculation
© Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1900, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » ( http://www.
Stochastic differential equations. In Stochastic differential equations, pages 65–84
  • 2003
Probability Theory and Stochastic Processes
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