Q Valued Functions Revisited
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Q Valued Functions Revisited
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Author : Camillo De Lellis
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Q Valued Functions Revisited written by Camillo De Lellis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
In this memoir the authors revisit Almgren's theory of $Q$-valued functions, which are functions taking values in the space $\mathcal{A}_Q(\mathbb{R}^{n})$ of unordered $Q$-tuples of points in $\mathbb{R}^{n}$. In particular, the authors: give shorter versions of Almgren's proofs of the existence of $\mathrm{Dir}$-minimizing $Q$-valued functions, of their Holder regularity, and of the dimension estimate of their singular set; propose an alternative, intrinsic approach to these results, not relying on Almgren's biLipschitz embedding $\xi: \mathcal{A}_Q(\mathbb{R}^{n})\to\mathbb{R}^{N(Q,n)}$; improve upon the estimate of the singular set of planar $\mathrm{D}$-minimizing functions by showing that it consists of isolated points.
Q Valued Functions Revisited
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Author : Camillo De Lellis
language : en
Publisher:
Release Date : 2010
Q Valued Functions Revisited written by Camillo De Lellis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with MATHEMATICS categories.
Q Valued Functions Revisited
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Author : Camillo De Lellis
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Q Valued Functions Revisited written by Camillo De Lellis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
In this memoir the authors revisit Almgren's theory of Q-valued functions.
Almgren S Q Valued Functions Revisited
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Author : Camillo De Lellis
language : en
Publisher:
Release Date : 2010
Almgren S Q Valued Functions Revisited written by Camillo De Lellis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
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Author :
language : en
Publisher: World Scientific
Release Date :
written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Proceedings Of The International Congress Of Mathematicians 2010 Icm 2010 In 4 Volumes Vol I Plenary Lectures And Ceremonies Vols Ii Iv Invited Lectures
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Author : Rajendra Bhatia
language : en
Publisher: World Scientific
Release Date : 2011-06-06
Proceedings Of The International Congress Of Mathematicians 2010 Icm 2010 In 4 Volumes Vol I Plenary Lectures And Ceremonies Vols Ii Iv Invited Lectures written by Rajendra Bhatia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-06 with Mathematics categories.
ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.
Harmonic Analysis And Applications
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Author : Carlos E. Kenig
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-12-14
Harmonic Analysis And Applications written by Carlos E. Kenig and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-14 with Education categories.
The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.
Second Order Analysis On Mathscr P 2 M W 2
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Author : Nicola Gigli
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-02-22
Second Order Analysis On Mathscr P 2 M W 2 written by Nicola Gigli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-22 with Mathematics categories.
The author develops a rigorous second order analysis on the space of probability measures on a Riemannian manifold endowed with the quadratic optimal transport distance $W_2$. The discussion includes: definition of covariant derivative, discussion of the problem of existence of parallel transport, calculus of the Riemannian curvature tensor, differentiability of the exponential map and existence of Jacobi fields. This approach does not require any smoothness assumption on the measures considered.
Part I Physical Chemistry Part Ii Solid State Physics
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Author : Arthur S. Wightman
language : en
Publisher: Springer
Release Date : 2013-12-11
Part I Physical Chemistry Part Ii Solid State Physics written by Arthur S. Wightman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Science categories.
The fourth volume of the Collected Works is devoted to Wigner's contribution to physical chemistry, statistical mechanics and solid-state physics. In his annotation to the first part, N. Balazs clearly points out Wigner's role in early quantum chemistry and applied statistical mechanics. One corner stone was his introducing of what is now called the Wigner function, and his paper on adiabatic perturbations foreshadowed later work on Berry phases. Although few in number, Wigner's articles on solid-state physics laid the ground for the modern theory of the electronic structure of metals. W. Kohn writes about this in his annotation to Part 2 of the book and he also points out Wigner's great influence in the development of solid-state theory.
The Goodwillie Tower And The Ehp Sequence
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Author : Mark Behrens
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
The Goodwillie Tower And The Ehp Sequence written by Mark Behrens and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The author studies the interaction between the EHP sequence and the Goodwillie tower of the identity evaluated at spheres at the prime $2$. Both give rise to spectral sequences (the EHP spectral sequence and the Goodwillie spectral sequence, respectively) which compute the unstable homotopy groups of spheres. He relates the Goodwillie filtration to the $P$ map, and the Goodwillie differentials to the $H$ map. Furthermore, he studies an iterated Atiyah-Hirzebruch spectral sequence approach to the homotopy of the layers of the Goodwillie tower of the identity on spheres. He shows that differentials in these spectral sequences give rise to differentials in the EHP spectral sequence. He uses his theory to recompute the $2$-primary unstable stems through the Toda range (up to the $19$-stem). He also studies the homological behavior of the interaction between the EHP sequence and the Goodwillie tower of the identity. This homological analysis involves the introduction of Dyer-Lashof-like operations associated to M. Ching's operad structure on the derivatives of the identity. These operations act on the mod $2$ stable homology of the Goodwillie layers of any functor from spaces to spaces.