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Brownian Motion: Fluctuations, Dynamics, and Applications

Robert M. Mazo

Published in print:
2008
Published Online:
January 2010
ISBN:
9780199556441
eISBN:
9780191705625
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199556441.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

Brownian motion is the incessant motion of small particles immersed in an ambient medium. It is due to fluctuations in the motion of the medium particles on the molecular scale. The name has been ... More


The Theory of Open Quantum Systems

Heinz-Peter Breuer and Francesco Petruccione

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199213900
eISBN:
9780191706349
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213900.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation, the text begins with a ... More


Kinetic Theory of Granular Gases

Nikolai V. Brilliantov and Thorsten Pöschel

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198530381
eISBN:
9780191713057
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198530381.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

Kinetic Theory of Granular Gases provides an introduction to the rapidly developing theory of dissipative gas dynamics — a theory which has mainly evolved over the last decade. The book ... More


Large Deviations for Empirical Cycle Counts of Integer Partitions and Their Relation to Systems of Bosons

Stefan Adams

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/9780199239252.003.0007
Subject:
Mathematics, Probability / Statistics, Analysis

Motivated by the Bose gas, this chapter introduces certain combinatorial structures. It analyses the asymptotic behaviour of empirical shape measures and of empirical path measures of N Brownian ... More


Interacting Brownian Motions and the Gross-Pitaevskii Formula

Stefan Adams and Wolfgang König

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/9780199239252.003.0008
Subject:
Mathematics, Probability / Statistics, Analysis

Bose–Einstein condensation predicts that, under certain conditions (in particular extremely low temperature), all particles will condense into one state. Some of the physical background is surveyed ... More


BROWNIAN ROUGH PATHS

Terry Lyons and Zhongmin Qian

in System Control and Rough Paths

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198506485
eISBN:
9780191709395
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506485.003.0004
Subject:
Mathematics, Probability / Statistics

This chapter proves that the dyadic polygonal approximations to a Brownian paths, with probability 1, a Cauchy sequence of rough paths, and in this way, the chapter proves a result first established ... More


Numerical Simulation Of Microflows And Nanoflows

Narayan R. Aluru and George Em Karniadakis

in Micro/Nano Technology Systems for Biomedical Applications: Microfluidics, Optics, and Surface Chemistry

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199219698
eISBN:
9780191594229
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199219698.003.0003
Subject:
Mathematics, Mathematical Biology

In this chapter we review recent advances in numerical simulation of micro and nanoflows. For coarse-grained simulation of microfuidics, we present an overview of Lattice Boltzmann, Brownian ... More


T. N. Thiele's contributions to statistics 77

A. Hald

in Thiele: Pioneer in Statistics

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509721
eISBN:
9780191709197
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509721.003.0005
Subject:
Mathematics, Probability / Statistics

This chapter presents a reprint of Hald (1981), containing a detailed discussion of Thiele's contributions to statistics and a brief summary of some of his contributions to other areas. Topics ... More


Phylogenomic Expression Analysis between Duplicate Genes

Xun Gu

in Statistical Theory and Methods for Evolutionary Genomics

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199213269
eISBN:
9780191594762
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213269.003.0005
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

Microarray technology can simultaneously monitor the expression levels of thousands of genes across many experimental conditions or treatments, providing us with unique opportunities to investigate ... More


Random Fractals

Peter Mörters

in New Perspectives in Stochastic Geometry

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199232574
eISBN:
9780191716393
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199232574.003.0008
Subject:
Mathematics, Geometry / Topology

This chapter expounds the theory of random fractals, using tree representation as a unifying principle. Applications to the fine structure of Brownian motion are discussed.


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