Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23

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Publisher : Heritage
ISBN 13 : 9781487587284
Total Pages : 120 pages
Book Rating : 4.5/5 (872 download)

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Book Synopsis Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 by : T. V. Narayana

Download or read book Lattice Path Combinatorics with Statistical Applications; Mathematical Expositions 23 written by T. V. Narayana and published by Heritage. This book was released on 1979-12 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice path combinatorics has developed greatly as a branch of probability studies recently, and the need for new books on the subject is obvious. It treats several recent results and it offers a powerful new tool for studying many problems in mathematical statistics.

Lattice Path Counting and Applications

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Publisher : Academic Press
ISBN 13 : 1483218805
Total Pages : 200 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Lattice Path Counting and Applications by : Gopal Mohanty

Download or read book Lattice Path Counting and Applications written by Gopal Mohanty and published by Academic Press. This book was released on 2014-07-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Lattice Path Counting and Applications focuses on the principles, methodologies, and approaches involved in lattice path counting and applications, including vector representation, random walks, and rank order statistics. The book first underscores the simple and general boundaries of path counting. Topics include types of diagonal steps and a correspondence, paths within general boundaries, higher dimensional paths, vector representation, compositions, and domination, recurrence and generating function method, and reflection principle. The text then examines invariance and fluctuation and random walk and rank order statistics. Discussions focus on random walks, rank order statistics, Chung-Feller theorems, and Sparre Andersen's equivalence. The manuscript takes a look at convolution identities and inverse relations and discrete distributions, queues, trees, and search codes, as well as discrete distributions and a correlated random walk, trees and search codes, convolution identities, and orthogonal relations and inversion formulas. The text is a valuable reference for mathematicians and researchers interested in in lattice path counting and applications.

Lattice Path Combinatorics, with Statistical Applications

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Publisher : Toronto ; Buffalo : University of Toronto Press
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Lattice Path Combinatorics, with Statistical Applications by : Tadepalli Venkata Narayana

Download or read book Lattice Path Combinatorics, with Statistical Applications written by Tadepalli Venkata Narayana and published by Toronto ; Buffalo : University of Toronto Press. This book was released on 1979 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lattice Path Combinatorics and Applications

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Publisher : Springer
ISBN 13 : 3030111024
Total Pages : 418 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Lattice Path Combinatorics and Applications by : George E. Andrews

Download or read book Lattice Path Combinatorics and Applications written by George E. Andrews and published by Springer. This book was released on 2019-03-02 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Applications

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Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (248 download)

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Book Synopsis Special Issue on Lattice Path Combinatorics and Applications by :

Download or read book Special Issue on Lattice Path Combinatorics and Applications written by and published by . This book was released on 2002 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Combinatorial Methods and Applications to Probability and Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461241405
Total Pages : 576 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Advances in Combinatorial Methods and Applications to Probability and Statistics by : N. Balakrishnan

Download or read book Advances in Combinatorial Methods and Applications to Probability and Statistics written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. This is clearly evident from his lifetime publications list and the numerous citations his publications have received over the past three decades. My association with him began in 1982 when I came to McMaster Univer sity. Since then, I have been associated with him on many different issues at professional as well as cultural levels; I have benefited greatly from him on both these grounds. I have enjoyed very much being his colleague in the statistics group here at McMaster University and also as his friend. While I admire him for his honesty, sincerity and dedication, I appreciate very much his kindness, modesty and broad-mindedness. Aside from our common interest in mathematics and statistics, we both have great love for Indian classical music and dance. We have spent numerous many different subjects associated with the Indian music and hours discussing dance. I still remember fondly the long drive (to Amherst, Massachusetts) I had a few years ago with him and his wife, Shantimayee, and all the hearty discussions we had during that journey. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.

The 6th International Conference on Lattice Path Combinatorics and Applications

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (837 download)

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Book Synopsis The 6th International Conference on Lattice Path Combinatorics and Applications by :

Download or read book The 6th International Conference on Lattice Path Combinatorics and Applications written by and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lattice Path Combinatorics and Special Counting Sequences

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Publisher : CRC Press
ISBN 13 : 1040123414
Total Pages : 120 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis Lattice Path Combinatorics and Special Counting Sequences by : Chunwei Song

Download or read book Lattice Path Combinatorics and Special Counting Sequences written by Chunwei Song and published by CRC Press. This book was released on 2024-09-17 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: Lattice Path Combinatorics and Applications

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Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (84 download)

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Book Synopsis Special Issue: Lattice Path Combinatorics and Applications by :

Download or read book Special Issue: Lattice Path Combinatorics and Applications written by and published by . This book was released on 2012 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Counting Lattice Paths Using Fourier Methods

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Publisher : Springer Nature
ISBN 13 : 3030266966
Total Pages : 136 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Counting Lattice Paths Using Fourier Methods by : Shaun Ault

Download or read book Counting Lattice Paths Using Fourier Methods written by Shaun Ault and published by Springer Nature. This book was released on 2019-08-30 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces a novel and effective approach to counting lattice paths by using the discrete Fourier transform (DFT) as a type of periodic generating function. Utilizing a previously unexplored connection between combinatorics and Fourier analysis, this method will allow readers to move to higher-dimensional lattice path problems with ease. The technique is carefully developed in the first three chapters using the algebraic properties of the DFT, moving from one-dimensional problems to higher dimensions. In the following chapter, the discussion turns to geometric properties of the DFT in order to study the corridor state space. Each chapter poses open-ended questions and exercises to prompt further practice and future research. Two appendices are also provided, which cover complex variables and non-rectangular lattices, thus ensuring the text will be self-contained and serve as a valued reference. Counting Lattice Paths Using Fourier Methods is ideal for upper-undergraduates and graduate students studying combinatorics or other areas of mathematics, as well as computer science or physics. Instructors will also find this a valuable resource for use in their seminars. Readers should have a firm understanding of calculus, including integration, sequences, and series, as well as a familiarity with proofs and elementary linear algebra.

Special Issue on Lattice Path Combinatorics and Discrete Distributions (In Memory of I.Vincze)

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Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (254 download)

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Book Synopsis Special Issue on Lattice Path Combinatorics and Discrete Distributions (In Memory of I.Vincze) by : S.G. Mohanty

Download or read book Special Issue on Lattice Path Combinatorics and Discrete Distributions (In Memory of I.Vincze) written by S.G. Mohanty and published by . This book was released on 2005 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Combinatorial Methods and Applications to Probability and Statistics

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Publisher : Boston : Birkhäuser
ISBN 13 : 9783764339081
Total Pages : 562 pages
Book Rating : 4.3/5 (39 download)

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Book Synopsis Advances in Combinatorial Methods and Applications to Probability and Statistics by : N. Balakrishnan

Download or read book Advances in Combinatorial Methods and Applications to Probability and Statistics written by N. Balakrishnan and published by Boston : Birkhäuser. This book was released on 1997-01-01 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Special Issue on Lattice Path Combinatorics and Discrete Distributions

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Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (635 download)

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Book Synopsis Special Issue on Lattice Path Combinatorics and Discrete Distributions by :

Download or read book Special Issue on Lattice Path Combinatorics and Discrete Distributions written by and published by . This book was released on 2005 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lattice Path Counting and Applications

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Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.:/5 (256 download)

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Book Synopsis Lattice Path Counting and Applications by : Sri Gopal Mohanty

Download or read book Lattice Path Counting and Applications written by Sri Gopal Mohanty and published by . This book was released on 1977 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Young Tableaux in Combinatorics, Invariant Theory, and Algebra

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Publisher : Elsevier
ISBN 13 : 1483272028
Total Pages : 344 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Young Tableaux in Combinatorics, Invariant Theory, and Algebra by : Joseph P.S. Kung

Download or read book Young Tableaux in Combinatorics, Invariant Theory, and Algebra written by Joseph P.S. Kung and published by Elsevier. This book was released on 2014-05-12 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work is an anthology of papers on Young tableaux and their applications in combinatorics, invariant theory, and algebra. Topics covered include reverse plane partitions and tableau hook numbers; some partitions associated with a partially ordered set; frames and Baxter sequences; and Young diagrams and ideals of Pfaffians. Comprised of 16 chapters, this book begins by describing a probabilistic proof of a formula for the number f? of standard Young tableaux of a given shape f?. The reader is then introduced to the generating function of R. P. Stanley for reverse plane partitions on a tableau shape; an analog of Schensted's algorithm relating permutations and triples consisting of two shifted Young tableaux and a set; and a variational problem for random Young tableaux. Subsequent chapters deal with certain aspects of Schensted's construction and the derivation of the Littlewood-Richardson rule for the multiplication of Schur functions using purely combinatorial methods; monotonicity and unimodality of the pattern inventory; and skew-symmetric invariant theory. This volume will be helpful to students and practitioners of algebra.

Combinatorial Algorithms

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Publisher : Springer Nature
ISBN 13 : 3031066782
Total Pages : 538 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Combinatorial Algorithms by : Cristina Bazgan

Download or read book Combinatorial Algorithms written by Cristina Bazgan and published by Springer Nature. This book was released on 2022-05-29 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 33rd International Workshop on Combinatorial Algorithms, IWOCA 2022, which took place as a hybrid event in Trier, Germany, during June 7-9, 2022.The 35 papers presented in these proceedings were carefully reviewed and selected from 86 submissions. They deal with diverse topics related to combinatorial algorithms, such as algorithms and data structures; algorithmic and combinatorical aspects of cryptography and information security; algorithmic game theory and complexity of games; approximation algorithms; complexity theory; combinatorics and graph theory; combinatorial generation, enumeration and counting; combinatorial optimization; combinatorics of words; computational biology; computational geometry; decompositions and combinatorial designs; distributed and network algorithms; experimental combinatorics; fine-grained complexity; graph algorithms and modelling with graphs; graph drawing and graph labelling; network theory and temporal graphs; quantum computing and algorithms for quantum computers; online algorithms; parameterized and exact algorithms; probabilistic andrandomized algorithms; and streaming algorithms.

An Invitation to Analytic Combinatorics

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Publisher : Springer Nature
ISBN 13 : 3030670805
Total Pages : 418 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis An Invitation to Analytic Combinatorics by : Stephen Melczer

Download or read book An Invitation to Analytic Combinatorics written by Stephen Melczer and published by Springer Nature. This book was released on 2020-12-22 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of mathematics, theoretical computer science, and physics. A focus on effective algorithms leads to the development of computer algebra software of use to researchers in these domains. After a survey of current results and open problems on decidability in enumerative combinatorics, the text shows how the cutting edge of this research is the new domain of Analytic Combinatorics in Several Variables (ACSV). The remaining chapters of the text alternate between a pedagogical development of the theory, applications (including the resolution by this author of conjectures in lattice path enumeration which resisted several other approaches), and the development of algorithms. The final chapters in the text show, through examples and general theory, how results from stratified Morse theory can help refine some of these computability questions. Complementing the written presentation are over 50 worksheets for the SageMath and Maple computer algebra systems working through examples in the text.