Coverart for item
The Resource Mod-φ Convergence : Normality Zones and Precise Deviations, by Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali, (electronic resource)

Mod-φ Convergence : Normality Zones and Precise Deviations, by Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali, (electronic resource)

Label
Mod-φ Convergence : Normality Zones and Precise Deviations
Title
Mod-φ Convergence
Title remainder
Normality Zones and Precise Deviations
Statement of responsibility
by Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali
Creator
Contributor
Author
Subject
Language
eng
Summary
The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-φ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects. Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Féray, Valentin
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Méliot, Pierre-Loïc.
  • Nikeghbali, Ashkan.
Series statement
  • Springer eBooks
  • SpringerBriefs in Probability and Mathematical Statistics,
http://library.link/vocab/subjectName
  • Mathematics
  • Matrix theory
  • Algebra
  • Number theory
  • Probabilities
  • Combinatorics
Label
Mod-φ Convergence : Normality Zones and Precise Deviations, by Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-46822-8
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
Preface -- Introduction -- Preliminaries -- Fluctuations in the case of lattice distributions -- Fluctuations in the non-lattice case -- An extended deviation result from bounds on cumulants -- A precise version of the Ellis-Gärtner theorem -- Examples with an explicit generating function -- Mod-Gaussian convergence from a factorisation of the PGF -- Dependency graphs and mod-Gaussian convergence -- Subgraph count statistics in Erdös-Rényi random graphs -- Random character values from central measures on partitions -- Bibliography
Control code
978-3-319-46822-8
Dimensions
unknown
Extent
1 online resource (XII, 152 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319468228
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-46822-8
Other physical details
17 illustrations, 9 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)966400240
Label
Mod-φ Convergence : Normality Zones and Precise Deviations, by Valentin Féray, Pierre-Loïc Méliot, Ashkan Nikeghbali, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-46822-8
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
Preface -- Introduction -- Preliminaries -- Fluctuations in the case of lattice distributions -- Fluctuations in the non-lattice case -- An extended deviation result from bounds on cumulants -- A precise version of the Ellis-Gärtner theorem -- Examples with an explicit generating function -- Mod-Gaussian convergence from a factorisation of the PGF -- Dependency graphs and mod-Gaussian convergence -- Subgraph count statistics in Erdös-Rényi random graphs -- Random character values from central measures on partitions -- Bibliography
Control code
978-3-319-46822-8
Dimensions
unknown
Extent
1 online resource (XII, 152 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319468228
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-46822-8
Other physical details
17 illustrations, 9 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)966400240

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