Tame Geometry With Application In Smooth Analysis
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Tame Geometry With Application In Smooth Analysis
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Author : Yosef Yomdin
language : en
Publisher: Springer
Release Date : 2004-02-07
Tame Geometry With Application In Smooth Analysis written by Yosef Yomdin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-07 with Mathematics categories.
The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent. The main reason is that the classical Morse-Sard theorem is basically qualitative. This volume gives a proof and also an "explanation" of the quantitative Morse-Sard theorem and related results, beginning with the study of polynomial (or tame) mappings. The quantitative questions, answered by a combination of the methods of real semialgebraic and tame geometry and integral geometry, turn out to be nontrivial and highly productive. The important advantage of this approach is that it allows the separation of the role of high differentiability and that of algebraic geometry in a smooth setting: all the geometrically relevant phenomena appear already for polynomial mappings. The geometric properties obtained are "stable with respect to approximation", and can be imposed on smooth functions via polynomial approximation.
Tame Geometry With Application In Smooth Analysis
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Author : Yosef Yomdin
language : en
Publisher:
Release Date : 2014-01-15
Tame Geometry With Application In Smooth Analysis written by Yosef Yomdin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Tame Geometry With Application In Smooth Analysis
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Author :
language : en
Publisher:
Release Date : 2004
Tame Geometry With Application In Smooth Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Differential Geometric Structures And Applications
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Author : Vladimir Rovenski
language : en
Publisher: Springer Nature
Release Date :
Differential Geometric Structures And Applications written by Vladimir Rovenski and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Method Of Approximate Inverse Theory And Applications
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Author : Thomas Schuster
language : en
Publisher: Springer
Release Date : 2007-04-26
The Method Of Approximate Inverse Theory And Applications written by Thomas Schuster and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-26 with Mathematics categories.
This book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings. It demonstrates the performance and functionality of the method on several examples from medical imaging and non-destructive testing, such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography.
Evolution Algebras And Their Applications
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Author : Jianjun Paul Tian
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
Evolution Algebras And Their Applications written by Jianjun Paul Tian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Behind genetics and Markov chains, there is an intrinsic algebraic structure. It is defined as a type of new algebra: as evolution algebra. This concept lies between algebras and dynamical systems. Algebraically, evolution algebras are non-associative Banach algebras; dynamically, they represent discrete dynamical systems. Evolution algebras have many connections with other mathematical fields including graph theory, group theory, stochastic processes, dynamical systems, knot theory, 3-manifolds, and the study of the Ihara-Selberg zeta function. In this volume the foundation of evolution algebra theory and applications in non-Mendelian genetics and Markov chains is developed, with pointers to some further research topics.
Geometry Of M Ntz Spaces And Related Questions
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Author : Vladimir I. Gurariy
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-03
Geometry Of M Ntz Spaces And Related Questions written by Vladimir I. Gurariy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-03 with Mathematics categories.
Starting point and motivation for this volume is the Müntz theorem. In the first part of the book the Banach spaces notions are introduced and are later on applied for Müntz spaces. They include the opening and inclination of subspaces, bases and boundedapproximation properties and versions of universality.
Some Mathematical Models From Population Genetics
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Author : Alison Etheridge
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-07
Some Mathematical Models From Population Genetics written by Alison Etheridge and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-07 with Mathematics categories.
This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer school in probability. It provides a rapid introduction to a range of mathematical models that have their origins in theoretical population genetics. The models fall into two classes: forwards in time models for the evolution of frequencies of different genetic types in a population; and backwards in time (coalescent) models that trace out the genealogical relationships between individuals in a sample from the population. Some, like the classical Wright-Fisher model, date right back to the origins of the subject. Others, like the multiple merger coalescents or the spatial Lambda-Fleming-Viot process are much more recent. All share a rich mathematical structure. Biological terms are explained, the models are carefully motivated and tools for their study are presented systematically.
Geometric Description Of Images As Topographic Maps
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Author : Vicent Caselles
language : en
Publisher: Springer
Release Date : 2009-12-24
Geometric Description Of Images As Topographic Maps written by Vicent Caselles and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-24 with Computers categories.
This book discusses the basic geometric contents of an image and presents a treedatastructuretohandleite?ciently.Itanalyzesalsosomemorphological operators that simplify this geometric contents and their implementation in termsofthe datastructuresintroduced.It?nallyreviewsseveralapplications to image comparison and registration, to edge and corner computation, and the selection of features associated to a given scale in images. Let us ?rst say that, to avoid a long list, we shall not give references in this summary; they are obviously contained in this monograph. A gray level image is usually modeled as a function de?ned in a bounded N domain D? R (typically N = 2 for usual snapshots, N=3formedical images or movies) with values in R. The sensors of a camera or a CCD array transform the continuum of light energies to a ?nite interval of values by means of a nonlinear function g. The contrast change g depends on the pr- ertiesofthesensors,butalsoontheilluminationconditionsandthere?ection propertiesofthe objects,andthoseconditionsaregenerallyunknown.Images are thus observed modulo an arbitrary and unknown contrast change.
Forward Backward Stochastic Differential Equations And Their Applications
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Author : Jin Ma
language : en
Publisher: Springer
Release Date : 2007-04-24
Forward Backward Stochastic Differential Equations And Their Applications written by Jin Ma and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-24 with Mathematics categories.
This volume is a survey/monograph on the recently developed theory of forward-backward stochastic differential equations (FBSDEs). Basic techniques such as the method of optimal control, the 'Four Step Scheme', and the method of continuation are presented in full. Related topics such as backward stochastic PDEs and many applications of FBSDEs are also discussed in detail. The volume is suitable for readers with basic knowledge of stochastic differential equations, and some exposure to the stochastic control theory and PDEs. It can be used for researchers and/or senior graduate students in the areas of probability, control theory, mathematical finance, and other related fields.