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## Directed Random Growth Models on the Plane

*Timo Seppäläinen*

### in Analysis and Stochastics of Growth Processes and Interface Models

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780199239252
- eISBN:
- 9780191716911
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199239252.003.0001
- Subject:
- Mathematics, Probability / Statistics, Analysis

This chapter discusses random growth models describing the evolution of an interface in the plane. For specific models, three basic questions are discussed. First, under appropriate scaling, what is ... More

## FLUCTUATIONS

*HARRY SUHL*

### in Relaxation Processes in Micromagnetics

- Published in print:
- 2007
- Published Online:
- January 2010
- ISBN:
- 9780198528029
- eISBN:
- 9780191713545
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528029.003.0004
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter examines how the magnetization senses random fluctuations. Mathematical descriptions of stochastic processes of physical origin involve one or other of various incarnations of the ... More

## Stochastic methods in investment decision

*Melvin Lax, Wei Cai, and Min Xu*

### in Random Processes in Physics and Finance

- Published in print:
- 2006
- Published Online:
- January 2010
- ISBN:
- 9780198567769
- eISBN:
- 9780191718359
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567769.003.0016
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Derivative securities have a value related to the underlying security or asset. When a derivative such as a put, a forward, or future sale, is not priced correctly, one can, by making compensating ... More

## Basics of probability

*Peter Richmond, Jürgen Mimkes, and Stefan Hutzler*

### in Econophysics and Physical Economics

- Published in print:
- 2013
- Published Online:
- December 2013
- ISBN:
- 9780199674701
- eISBN:
- 9780191780066
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199674701.003.0003
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter focuses on a large variety of random systems that encompass the world. It shows the outcome of a sequence of throws of a six-sided die, the simulated motion of a Brownian particle, and ... More

## The Brownian motion model of asset prices

*Peter Richmond, Jürgen Mimkes, and Stefan Hutzler*

### in Econophysics and Physical Economics

- Published in print:
- 2013
- Published Online:
- December 2013
- ISBN:
- 9780199674701
- eISBN:
- 9780191780066
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199674701.003.0006
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter shows that Bachelier predated Einstein with his PhD thesis entitled ‘Theorie de la Speculation’, a complete analysis of futures and options, based on the ideas of random fluctuations of ... More

## Stability of Topological Derivative Based Imaging Functionals

*Habib Ammari, Elie Bretin, Josselin Garnier, Hyeonbae Kang, Hyundae Lee, and Abdul Wahab*

### in Mathematical Methods in Elasticity Imaging

- Published in print:
- 2015
- Published Online:
- October 2017
- ISBN:
- 9780691165318
- eISBN:
- 9781400866625
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691165318.003.0008
- Subject:
- Mathematics, Applied Mathematics

This chapter performs a detailed stability analysis of the topological derivative based imaging functionals with respect to medium and measurement noises. It begins with a discussion of the stability ... More

## Models of simple and complex systems

*John C. Moore and Peter C. De Ruiter*

### in Energetic Food Webs: An analysis of real and model ecosystems

- Published in print:
- 2012
- Published Online:
- December 2013
- ISBN:
- 9780198566182
- eISBN:
- 9780191774683
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566182.003.0002
- Subject:
- Biology, Ecology

This chapter tackles four distinct objectives. The first is that it presents the general approach to developing the models of simple and complex systems which are to be used throughout the book in ... More

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