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Stochastic Analysis and Diffusion Processes

Stochastic Analysis and Diffusion Processes

Gopinath Kallianpur and P Sundar

Published in print:
2014
Published Online:
April 2014
ISBN:
9780199657063
eISBN:
9780191781759
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199657063.001.0001
Subject:
Mathematics, Probability / Statistics, Applied Mathematics

Starting with the construction of stochastic processes, the book introduces Brownian motion and martingales. After proving the Doob-Meyer decomposition, quadratic variation processes and local ... More

Stochastic Methods in Neuroscience

Stochastic Methods in Neuroscience

Carlo Laing and Gabriel J Lord (eds)

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199235070
eISBN:
9780191715778
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199235070.001.0001
Subject:
Mathematics, Biostatistics

We give a brief introduction to modelling in mathematical neuroscience, to stochastic processes, and stochastic differential equations as well as an overview of the book.

Stochastic Population ProcessesAnalysis, Approximations, Simulations

Stochastic Population Processes: Analysis, Approximations, Simulations

Eric Renshaw

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199575312
eISBN:
9780191728778
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199575312.001.0001
Subject:
Mathematics, Applied Mathematics, Mathematical Biology

The vast majority of random processes in the real world have no memory — the next step in their development depends purely on their current state. Stochastic realizations are therefore defined purely ... More

The Structure of Models of Peano Arithmetic

The Structure of Models of Peano Arithmetic

Roman Kossak and James Schmerl

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568278
eISBN:
9780191718199
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568278.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book gives an account of the present state of research on lattices of elementary substructures and automorphisms of nonstandard models of arithmetic. Major representation theorems are proved, ... More

System Control and Rough Paths

System Control and Rough Paths

Terry Lyons and Zhongmin Qian

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198506485
eISBN:
9780191709395
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506485.001.0001
Subject:
Mathematics, Probability / Statistics

Systems evolve and interact, and when they do this in a continuous way, differential equations can be used to provide accurate mathematical models for the interaction or reaction of the controlled ... More

System Modeling in Cellular BiologyFrom Concepts to Nuts and Bolts

System Modeling in Cellular Biology: From Concepts to Nuts and Bolts

Zoltan Szallasi, Jorg Stelling, and Vipul Periwal (eds)

Published in print:
2006
Published Online:
August 2013
ISBN:
9780262195485
eISBN:
9780262257060
Item type:
book
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262195485.001.0001
Subject:
Mathematics, Mathematical Biology

Research in systems biology requires the collaboration of researchers from diverse backgrounds, including biology, computer science, mathematics, statistics, physics, and biochemistry. These ... More

The Theory of Infinite Soluble Groups

The Theory of Infinite Soluble Groups

John C. Lennox and Derek J. S. Robinson

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198507284
eISBN:
9780191709326
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198507284.001.0001
Subject:
Mathematics, Pure Mathematics

This book provides a comprehensive account of the theory of infinite soluble groups, from its foundations up to research level. Topics covered include: polycyclic groups, Cernikov groups, Mal’cev ... More

Thermoelasticity with Finite Wave Speeds

Thermoelasticity with Finite Wave Speeds

Józef Ignaczak and Martin Ostoja-Starzewski

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199541645
eISBN:
9780191716164
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199541645.001.0001
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of thermal signals in Fourier‐type heat ... More

Thiele: Pioneer in Statistics

Thiele: Pioneer in Statistics

Steffen L. Lauritzen

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509721
eISBN:
9780191709197
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509721.001.0001
Subject:
Mathematics, Probability / Statistics

Thorvald Nicolai Thiele was a brilliant Danish researcher of the 19th century. He was a professor of Astronomy at the University of Copenhagen and the founder of Hafnia, the first Danish private ... More

Time Series Analysis by State Space MethodsSecond Edition

Time Series Analysis by State Space Methods: Second Edition

James Durbin and Siem Jan Koopman

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199641178
eISBN:
9780191774881
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641178.001.0001
Subject:
Mathematics, Probability / Statistics

This book presents a comprehensive treatment of the state space approach to time series analysis. The distinguishing feature of state space time series models is that observations are regarded as ... More

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