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Lattice Path Combinatorics and Applications

  • George E. Andrews
  • Christian Krattenthaler
  • Alan Krinik

Part of the Developments in Mathematics book series (DEVM, volume 58)

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Aliakbar Montazer Haghighi, Sri Gopal Mohanty
    Pages 1-28
  3. Krishnaswami Alladi
    Pages 43-46
  4. George E. Andrews
    Pages 71-77
  5. Cyril Banderier, Christian Krattenthaler, Alan Krinik, Dmitry Kruchinin, Vladimir Kruchinin, David Nguyen et al.
    Pages 78-118
  6. Cyril Banderier, Michael Wallner
    Pages 119-154
  7. Daniel Birmajer, Juan B. Gil, Peter R. W. McNamara, Michael D. Weiner
    Pages 155-165
  8. Ch. A. Charalambides
    Pages 166-193
  9. Robert Cori, Enrica Duchi, Veronica Guerrini, Simone Rinaldi
    Pages 194-225
  10. Karl Dilcher, Larry Ericksen
    Pages 226-249
  11. James Haglund, Jeffrey B. Remmel, Meesue Yoo
    Pages 250-282
  12. Guven Mercankosk, Gopalan M. Nair
    Pages 327-342
  13. Ran Pan, Jeffrey B. Remmel
    Pages 382-418

About this book

Introduction

Recent methods used in lattice path combinatorics and various related branches of enumerative combinatorics are grouped together and presented in this volume, together with relevant applications. Contributions are mainly comprised of research articles though an attractive bonus is the inclusion of several captivating, expository articles on the life and mathematical work of leading researchers in lattice path combinatorics and beyond. “The 8th International Conference on Lattice Path Combinatorics and Applications” held in the summer of 2015,  provided opportunities for new collaborations and this volume also presents some stimulating ideas from newcomers to the conference series. This book will be of interest to researchers in lattice path combinatorics and enumerative combinatorics including subsets of researchers in mathematics, statistics, operations research, and computer science. The applications of the material covered in this Work extend beyond the primary audience to scholars interested in queueing theory, graph theory, rook theory, tilings, partitions, distributions, Markov processes, and more.

Keywords

lattice path combinatorics 8th conference on lattice path combinatorics enumerative combinatorics kernel method Fishburn numbers Fq-rational points Schubert varieties queueing theory Young tableaux graph theory

Editors and affiliations

  • George E. Andrews
    • 1
  • Christian Krattenthaler
    • 2
  • Alan Krinik
    • 3
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA
  2. 2.Fakultät für MathematikUniversität WienViennaAustria
  3. 3.Department of Mathematics and StatisticsCalifornia State Polytechnic University, PomonaPomonaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-11102-1
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-11101-4
  • Online ISBN 978-3-030-11102-1
  • Series Print ISSN 1389-2177
  • Series Online ISSN 2197-795X
  • Buy this book on publisher's site