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The Brownian Motion

A Rigorous but Gentle Introduction for Economists
Authors: Löffler, Andreas; Kruschwitz, Lutz;

The Brownian Motion

Abstract

This open access textbook is the first to provide Business and Economics Ph.D. students with a precise and intuitive introduction to the formal backgrounds of modern financial theory. It explains Brownian motion, random processes, measures, and Lebesgue integrals intuitively, but without sacrificing the necessary mathematical formalism, making them accessible for readers with little or no previous knowledge of the field. It also includes mathematical definitions and the hidden stories behind the terms discussing why the theories are presented in specific ways.

Keywords

Textbook, Economists, thema EDItEUR::K Economics, Finance, Business and Management::KF Finance and accounting, 500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik, set theory, 332, Economics, Mathematical, Economía, 510, stochastics, Economic theory, thema EDItEUR::K Economics, Finance, Business and Management::KF Finance and accounting::KFF Finance and the finance industry::KFFH Corporate finance, Economía Brownian, Business enterprises—Finance, Economía - Teorías, thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics, 300 Sozialwissenschaften::330 Wirtschaft::332 Finanzwirtschaft, thema EDItEUR::K Economics, Finance, Business and Management::KF Finance and accounting::KFF Finance and the finance industry, Lebesgue integral, Statistics, The Brownian Motion, random variables, measurement theory, Brownian motion, Finance, expectation, thema EDItEUR::K Economics, Finance, Business and Management::KC Economics::KCA Economic theory and philosophy, financial theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
hybrid