The Resource An Introduction to Random Interlacements, by Alexander Drewitz, Balázs Ráth, Artëm Sapozhnikov, (electronic resource)

An Introduction to Random Interlacements, by Alexander Drewitz, Balázs Ráth, Artëm Sapozhnikov, (electronic resource)

Label
An Introduction to Random Interlacements
Title
An Introduction to Random Interlacements
Statement of responsibility
by Alexander Drewitz, Balázs Ráth, Artëm Sapozhnikov
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This book gives a self-contained introduction to the theory of random interlacements. The intended reader of the book is a graduate student with a background in probability theory who wants to learn about the fundamental results and methods of this rapidly emerging field of research. The model was introduced by Sznitman in 2007 in order to describe the local picture left by the trace of a random walk on a large discrete torus when it runs up to times proportional to the volume of the torus. Random interlacements is a new percolation model on the d-dimensional lattice. The main results covered by the book include the full proof of the local convergence of random walk trace on the torus to random interlacements and the full proof of the percolation phase transition of the vacant set of random interlacements in all dimensions. The reader will become familiar with the techniques relevant to working with the underlying Poisson Process and the method of multi-scale renormalization, which helps in overcoming the challenges posed by the long-range correlations present in the model. The aim is to engage the reader in the world of random interlacements by means of detailed explanations, exercises and heuristics. Each chapter ends with short survey of related results with up-to date pointers to the literature
Member of
http://library.link/vocab/creatorName
Drewitz, Alexander
Image bit depth
0
LC call number
  • QA273.A1-274.9
  • QA274-274.9
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Ráth, Balázs.
  • Sapozhnikov, Artëm.
  • SpringerLink
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Distribution (Probability theory)
  • Mathematics
  • Probability Theory and Stochastic Processes
  • Operations Research, Management Science
  • Applications of Mathematics
Label
An Introduction to Random Interlacements, by Alexander Drewitz, Balázs Ráth, Artëm Sapozhnikov, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Random Walk, Green Function, Equilibrium Measure -- Random Interlacements: First Definition and Basic Properties.- Random Walk on the Torus and Random Interlacements.- Poisson Point Processes.- Random Interlacements Point Process.- Percolation of the Vacant Set.- Source of Correlations and Decorrelation via Coupling.- Decoupling Inequalities -- Phase Transition of Vu -- Coupling of Point Measures of Excursions
Dimensions
unknown
Extent
X, 120 p. 8 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319058528
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-05852-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-05852-8
Label
An Introduction to Random Interlacements, by Alexander Drewitz, Balázs Ráth, Artëm Sapozhnikov, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Random Walk, Green Function, Equilibrium Measure -- Random Interlacements: First Definition and Basic Properties.- Random Walk on the Torus and Random Interlacements.- Poisson Point Processes.- Random Interlacements Point Process.- Percolation of the Vacant Set.- Source of Correlations and Decorrelation via Coupling.- Decoupling Inequalities -- Phase Transition of Vu -- Coupling of Point Measures of Excursions
Dimensions
unknown
Extent
X, 120 p. 8 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783319058528
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-05852-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-05852-8

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