Lattice Path Combinatorics and Applications
tarafından
 
Andrews, George E. editor.

Başlık
Lattice Path Combinatorics and Applications

Yazar
Andrews, George E. editor.

ISBN
9783030111021

Edisyon
1st ed. 2019.

Fiziksel Niteleme
XXV, 418 p. 128 illus., 44 illus. in color. online resource.

Seri
Developments in Mathematics, 58

İçindekiler
Preface -- Lajos Takács: A Tribute (A.M. Haghighi, S.G. Mohanty) -- The Distribution of the Local Time of Brownian Motion with Drift (L. Takács) -- Reflections on Shreeram Abhyankar (K. Alladi) -- My Association and Collaboration with George Andrews (K. Alladi) -- A Refinement of the Alladi–Schur Theorem (G.E. Andrews) -- Explicit Formulas for Enumeration of Lattice Paths: Basketball and the Kernel Method (C. Banderier, C. Krattenthaler, A. Krinik, D. Kruchinin, V. Kruchinin, D. Nguyen, M. Wallner) -- The Kernel Method for Lattice Paths below a Line of Rational Slope (C. Banderier, M. Wallner) -- Enumeration of Colored Dyck Paths via Partial Bell Polynomials (D. Birmajer, J.B. Gil, P.R.W. McNamara, M.D. Weiner) -- A Review of the Basic Discrete q-Distributions (Ch.A. Charalambides) -- Families of Parking Functions Counted by the Schröder and Baxter Numbers (R. Cori, E. Duchi, S. Rinaldi, V. Guerrini) -- Some Tilings, Colorings and Lattice Paths via Stern Polynomials (K. Dilcher, L. Ericksen) -- p-Rook Numbers and Cycle Counting in Cp

Özet
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.

Konu Başlığı
Combinatorics.
 
Number theory.
 
Graph theory.
 
Convex geometry .
 
Discrete geometry.
 
Probabilities.
 
Combinatorics. https://scigraph.springernature.com/ontologies/product-market-codes/M29010
 
Number Theory. https://scigraph.springernature.com/ontologies/product-market-codes/M25001
 
Graph Theory. https://scigraph.springernature.com/ontologies/product-market-codes/M29020
 
Convex and Discrete Geometry. https://scigraph.springernature.com/ontologies/product-market-codes/M21014
 
Probability Theory and Stochastic Processes. https://scigraph.springernature.com/ontologies/product-market-codes/M27004

Yazar Ek Girişi
Andrews, George E.
 
Krattenthaler, Christian.
 
Krinik, Alan.

Ek Kurum Yazar
SpringerLink (Online service)

Elektronik Erişim
https://doi.org/10.1007/978-3-030-11102-1


Materyal TürüBarkodYer NumarasıDurumu/İade Tarihi
Electronic Book428819-1001QA164 -167.2Springer E-Book Collection