Special Issue On Lattice Path Combinatorics And Discrete Distributions

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Lattice Path Combinatorics And Applications
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Author : George E. Andrews
language : en
Publisher: Springer
Release Date : 2019-03-02
Lattice Path Combinatorics And Applications written by George E. Andrews and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-02 with Mathematics categories.
The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume. Contributions to this edited volume will be mainly research articles however it will also include several captivating, expository articles (along with pictures) on the life and mathematical work of leading researchers in lattice path combinatorics and beyond. There will be four or five expository articles in memory of Shreeram Shankar Abhyankar and Philippe Flajolet and honoring George Andrews and Lajos Takács. There may be another brief article in memory of Professors Jagdish Narayan Srivastava and Joti Lal Jain. New research results include the kernel method developed by Flajolet and others for counting different classes of lattice paths continues to produce new results in counting lattice paths. The recent investigation of Fishburn numbers has led to interesting counting interpretations and a family of fascinating congruences. Formulas for new methods to obtain the number of Fq-rational points of Schubert varieties in Grassmannians continues to have research interest and will be presented here. Topics to be included are far reaching and will include lattice path enumeration, tilings, bijections between paths and other combinatoric structures, non-intersecting lattice paths, varieties, Young tableaux, partitions, enumerative combinatorics, discrete distributions, applications to queueing theory and other continuous time models, graph theory and applications. Many leading mathematicians who spoke at the conference from which this volume derives, are expected to send contributions including. This volume also presents the stimulating ideas of some exciting newcomers to the Lattice Path Combinatorics Conference series; “The 8th Conference on Lattice Path Combinatorics and Applications” provided opportunities for new collaborations; some of the products of these collaborations will also appear in this book. This book will have interest for researchers in lattice path combinatorics and enumerative combinatorics. This will include subsets of researchers in mathematics, statistics, operations research and computer science. The applications of the material covered in this edited volume extends beyond the primary audience to scholars interested queuing theory, graph theory, tiling, partitions, distributions, etc. An attractive bonus within our book is the collection of special articles describing the top recent researchers in this area of study and documenting the interesting history of who, when and how these beautiful combinatorial results were originally discovered.
Special Issue On Lattice Path Combinatorics And Discrete Distributions
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Author :
language : en
Publisher:
Release Date : 2005
Special Issue On Lattice Path Combinatorics And Discrete Distributions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Lattice Path Combinatorics And Special Counting Sequences
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Author : Chunwei Song
language : en
Publisher: CRC Press
Release Date : 2024-09-17
Lattice Path Combinatorics And Special Counting Sequences written by Chunwei Song and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-17 with Mathematics categories.
This book endeavors to deepen our understanding of lattice path combinatorics, explore key types of special sequences, elucidate their interconnections, and concurrently champion the author's interpretation of the “combinatorial spirit”. The author intends to give an up-to-date introduction to the theory of lattice path combinatorics, its relation to those special counting sequences important in modern combinatorial studies, such as the Catalan, Schröder, Motzkin, Delannoy numbers, and their generalized versions. Brief discussions of applications of lattice path combinatorics to symmetric functions and connections to the theory of tableaux are also included. Meanwhile, the author also presents an interpretation of the "combinatorial spirit" (i.e., "counting without counting", bijective proofs, and understanding combinatorics from combinatorial structures internally, and more), hoping to shape the development of contemporary combinatorics. Lattice Path Combinatorics and Special Counting Sequences: From an Enumerative Perspective will appeal to graduate students and advanced undergraduates studying combinatorics, discrete mathematics, or computer science.
Special Issue On Lattice Path Combinatorics And Discrete Distributions In Memory Of I Vincze
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Author : S.G. Mohanty
language : en
Publisher:
Release Date : 2005
Special Issue On Lattice Path Combinatorics And Discrete Distributions In Memory Of I Vincze written by S.G. Mohanty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Nbs Special Publication
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Author :
language : en
Publisher:
Release Date : 1978
Nbs Special Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Weights and measures categories.
Analytic Combinatorics
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Author : Philippe Flajolet
language : en
Publisher: Cambridge University Press
Release Date : 2009-01-15
Analytic Combinatorics written by Philippe Flajolet 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 2009-01-15 with Mathematics categories.
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
Bulletin Of The Institute Of Combinatorics And Its Applications
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Author :
language : en
Publisher:
Release Date : 2001
Bulletin Of The Institute Of Combinatorics And Its Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Combinatorial analysis categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Mathematical Reviews 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 Mathematics categories.
Journal Of The American Statistical Association
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Author : American Statistical Association
language : en
Publisher:
Release Date : 1980
Journal Of The American Statistical Association written by American Statistical Association and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Electronic journals categories.
A scientific and educational journal not only for professional statisticians but also for economists, business executives, research directors, government officials, university professors, and others who are seriously interested in the application of statistical methods to practical problems, in the development of more useful methods, and in the improvement of basic statistical data.
Encyclopedia Of Statistical Sciences In L
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Author :
language : en
Publisher:
Release Date : 2006
Encyclopedia Of Statistical Sciences In L written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Statistics categories.