Geometry And Analysis Of Metric Spaces Via Weighted Partitions
DOWNLOAD
Download Geometry And Analysis Of Metric Spaces Via Weighted Partitions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Geometry And Analysis Of Metric Spaces Via Weighted Partitions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Geometry And Analysis Of Metric Spaces Via Weighted Partitions
DOWNLOAD
Author : Jun Kigami
language : en
Publisher: Springer
Release Date : 2020-11-17
Geometry And Analysis Of Metric Spaces Via Weighted Partitions written by Jun Kigami and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-17 with Mathematics categories.
The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a partition (an iterated decomposition) of a compact metric space. Via a partition, a compact metric space is associated with an infinite graph whose boundary is the original space. Metrics and measures on the space are then studied from an integrated point of view as weights of the partition. In the course of the text: It is shown that a weight corresponds to a metric if and only if the associated weighted graph is Gromov hyperbolic. Various relations between metrics and measures such as bilipschitz equivalence, quasisymmetry, Ahlfors regularity, and the volume doubling property are translated to relations between weights. In particular, it is shown that the volume doubling property between a metric and a measure corresponds to a quasisymmetry between two metrics in the language of weights. The Ahlfors regular conformal dimension of a compact metric space is characterized as the critical index of p-energies associated with the partition and the weight function corresponding to the metric. These notes should interest researchers and PhD students working in conformal geometry, analysis on metric spaces, and related areas.
Geometry And Analysis Of Metric Spaces Via Weighted Partitions
DOWNLOAD
Author : Jun Kigami
language : en
Publisher: Springer Nature
Release Date : 2020-11-16
Geometry And Analysis Of Metric Spaces Via Weighted Partitions written by Jun Kigami and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-16 with Mathematics categories.
The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a partition (an iterated decomposition) of a compact metric space. Via a partition, a compact metric space is associated with an infinite graph whose boundary is the original space. Metrics and measures on the space are then studied from an integrated point of view as weights of the partition. In the course of the text: It is shown that a weight corresponds to a metric if and only if the associated weighted graph is Gromov hyperbolic. Various relations between metrics and measures such as bilipschitz equivalence, quasisymmetry, Ahlfors regularity, and the volume doubling property are translated to relations between weights. In particular, it is shown that the volume doubling property between a metric and a measure corresponds to a quasisymmetry between two metrics in the language of weights. The Ahlfors regular conformal dimension of a compact metric space is characterized as the critical index of p-energies associated with the partition and the weight function corresponding to the metric. These notes should interest researchers and PhD students working in conformal geometry, analysis on metric spaces, and related areas.
Analysis And Partial Differential Equations On Manifolds Fractals And Graphs
DOWNLOAD
Author : Alexander Grigor'yan
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-01-18
Analysis And Partial Differential Equations On Manifolds Fractals And Graphs written by Alexander Grigor'yan and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-18 with Mathematics categories.
The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.
Potentials And Partial Differential Equations
DOWNLOAD
Author : Suzanne Lenhart
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-05-22
Potentials And Partial Differential Equations written by Suzanne Lenhart and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-22 with Mathematics categories.
This volume is dedicated to the legacy of David R. Adams (1941-2021) and discusses calculus of variations, functional - harmonic - potential analysis, partial differential equations, and their applications in modeling, mathematical physics, and differential - integral geometry.
Computer Analysis Of Images And Patterns
DOWNLOAD
Author : André Gagalowicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-30
Computer Analysis Of Images And Patterns written by André Gagalowicz 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 2005-08-30 with Computers categories.
This volume presents the proceedings of the 11th International Conference on Computer Analysis of Images and Patterns (CAIP 2005). This conference - ries started about 20 years ago in Berlin. Initially, the conference served as a forum for meetings between scientists from Western and Eastern-block co- tries. Nowadays, the conference attracts participants from all over the world. The conference gives equal weight to posters and oral presentations, and the selected presentation mode is based on the most appropriate communication medium. The program follows a single-track format, rather than parallel s- sions. Non-overlapping oral and poster sessions ensure that all attendees have the opportunity to interact personally with presenters. As for the numbers, we received a total of 185 submissions. All papers were reviewed by two to four members of the Program Committee. The ?nal selection was carried out by the Conference Chairs. Out of the 185 papers, 65 were - lected for oral presentation and 43 as posters. CAIP is becoming well recognized internationally, and this year’s presentations came from 26 di?erent countries. South Korea proved to be the most active scienti?cally with a total of 16 - cepted papers. At this point, we wish to thank the Program Committee and additional referees for their timely and high-quality reviews. The paper s- mission and review procedure was carried out electronically. We also thank the invited speakers Reinhardt Koch and Thomas Vetter for kindly accepting to present invited papers.
Advanced Information Systems Engineering
DOWNLOAD
Author : Camille Salinesi
language : en
Publisher: Springer
Release Date : 2013-06-20
Advanced Information Systems Engineering written by Camille Salinesi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-20 with Computers categories.
This book constitutes the refereed proceedings of the 25th International Conference on Advanced Information Systems Engineering, CAiSE 2013, held in Valencia, Spain, in June 2013. The 44 revised full papers were carefully reviewed and selected from 162 submissions. The contributions have been grouped into the following topical sections: services; awareness; business process execution; products; business process modelling; modelling languages and meta models; requirements engineering 1; enterprise architecture; information systems evolution; mining and predicting; data warehouses and business intelligence; requirements engineering 2; knowledge and know-how; information systems quality; and human factors.
Real Analysis
DOWNLOAD
Author : N. L. Carothers
language : en
Publisher: Cambridge University Press
Release Date : 2000-08-15
Real Analysis written by N. L. Carothers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-15 with Mathematics categories.
A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.
Similarity Search
DOWNLOAD
Author : Pavel Zezula
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-07
Similarity Search written by Pavel Zezula 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 2006-06-07 with Computers categories.
The area of similarity searching is a very hot topic for both research and c- mercial applications. Current data processing applications use data with c- siderably less structure and much less precise queries than traditional database systems. Examples are multimedia data like images or videos that offer query by example search, product catalogs that provide users with preference based search, scientific data records from observations or experimental analyses such as biochemical and medical data, or XML documents that come from hetero- neous data sources on the Web or in intranets and thus does not exhibit a global schema. Such data can neither be ordered in a canonical manner nor meani- fully searched by precise database queries that would return exact matches. This novel situation is what has given rise to similarity searching, also - ferred to as content based or similarity retrieval. The most general approach to similarity search, still allowing construction of index structures, is modeled in metric space. In this book. Prof. Zezula and his co authors provide the first monograph on this topic, describing its theoretical background as well as the practical search tools of this innovative technology.
Metric Geometry Of Locally Compact Groups
DOWNLOAD
Author : Yves Cornulier
language : en
Publisher: European Mathematical Society
Release Date : 2016
Metric Geometry Of Locally Compact Groups written by Yves Cornulier and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
The main aim of this book is the study of locally compact groups from a geometric perspective, with an emphasis on appropriate metrics that can be defined on them. The approach has been successful for finitely generated groups and can be favorably extended to locally compact groups. Parts of the book address the coarse geometry of metric spaces, where ``coarse'' refers to that part of geometry concerning properties that can be formulated in terms of large distances only. This point of view is instrumental in studying locally compact groups. Basic results in the subject are exposed with complete proofs; others are stated with appropriate references. Most importantly, the development of the theory is illustrated by numerous examples, including matrix groups with entries in the the field of real or complex numbers, or other locally compact fields such as $p$-adic fields, isometry groups of various metric spaces, and last but not least, discrete groups themselves. The book is aimed at graduate students, advanced undergraduate students, and mathematicians seeking some introduction to coarse geometry and locally compact groups.
Digital Image Computing Techniques And Applications
DOWNLOAD
Author : Changming Sun
language : en
Publisher: CSIRO PUBLISHING
Release Date : 2003-12-01
Digital Image Computing Techniques And Applications written by Changming Sun and has been published by CSIRO PUBLISHING this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-01 with Technology & Engineering categories.
Digital Image Computing: Techniques and Applications is the premier biennial conference in Australia on the topics of image processing and image analysis. This seventh edition of the proceedings has seen an unprecedented level of submission, on such diverse areas as: Image processing; Face recognition; Segmentation; Registration; Motion analysis; Medical imaging; Object recognition; Virtual environments; Graphics; Stereo-vision; and Video analysis. These two volumes contain all the 108 accepted papers and five invited talks that were presented at the conference. These two volumes provide the Australian and international imaging research community with a snapshot of current theoretical and practical developments in these areas. They are of value to any engineer, computer scientist, mathematician, statistician or student interested in these matters.