Download or read book The Maximal Deviation of Lattice Paths written by Wolfgang Panny and published by . This book was released on 1984 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
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.
Download or read book Journal of Statistical Planning and Inference written by North-Holland Publishing Company and published by . This book was released on 2001 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopedia of Statistical Sciences In L written by and published by . This book was released on 2006 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Major Counting of Nonintersecting Lattice Paths and Generating Functions for Tableaux written by Christian Krattenthaler and published by American Mathematical Soc.. This book was released on with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work develops a theory for counting nonintersecting lattice paths by the major index and generalizations of it. As applications, Krattenthaler computes certain tableaux and plane partition generating functions. In particular, he derives refinements of the Bender-Knuth and McMahon conjectures, thereby giving new proofs of these conjectures. Providing refinements of famous results in plane partition theory, this work combines in an effective and nontrivial way classical tools from bijective combinatorics and the theory of special functions.
Download or read book Counting Lattice Paths Using Fourier Methods written by Shaun Ault and published by Birkhäuser. This book was released on 2019-08-31 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.
Download or read book Environment Planning A written by and published by . This book was released on 1977 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Micro and Nano Scale Sensors and Transducers written by Ezzat G. Bakhoum and published by CRC Press. This book was released on 2016-03-09 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rapidly emerging fields of nanotechnology and nano-fabrication have enabled the creation of new sensors with dramatic improvements in sensitivity and range, along with substantial miniaturization. And, although there are many books on nanotechnology, recent advances in micro and nano-scale sensors and transducers are not adequately represented
Download or read book Environment Planning written by and published by . This book was released on 1977 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Studia scientiarum mathematicarum Hungarica written by and published by . This book was released on 1985 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solid Solid Phase Transformations written by Masahiro Koiwa and published by . This book was released on 1999 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Computational Biology written by Michael S. Waterman and published by CRC Press. This book was released on 2018-05-02 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biology is in the midst of a era yielding many significant discoveries and promising many more. Unique to this era is the exponential growth in the size of information-packed databases. Inspired by a pressing need to analyze that data, Introduction to Computational Biology explores a new area of expertise that emerged from this fertile field- the combination of biological and information sciences. This introduction describes the mathematical structure of biological data, especially from sequences and chromosomes. After a brief survey of molecular biology, it studies restriction maps of DNA, rough landmark maps of the underlying sequences, and clones and clone maps. It examines problems associated with reading DNA sequences and comparing sequences to finding common patterns. The author then considers that statistics of pattern counts in sequences, RNA secondary structure, and the inference of evolutionary history of related sequences. Introduction to Computational Biology exposes the reader to the fascinating structure of biological data and explains how to treat related combinatorial and statistical problems. Written to describe mathematical formulation and development, this book helps set the stage for even more, truly interdisciplinary work in biology.
Download or read book Fundamentals of the Theory of Turbines Operating on Wet Steam written by Ivan Ivanovich Kirillov and published by . This book was released on 1970 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Books in Print written by and published by . This book was released on 1998 with total page 1294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
