05277nam 22006735 450 991033825280332120200630220909.03-030-11102-410.1007/978-3-030-11102-1(CKB)4100000007758156(MiAaPQ)EBC5723082(DE-He213)978-3-030-11102-1(PPN)235228877(EXLCZ)99410000000775815620190302d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierLattice Path Combinatorics and Applications /edited by George E. Andrews, Christian Krattenthaler, Alan Krinik1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (443 pages)Developments in Mathematics,1389-2177 ;583-030-11101-6 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|Sn (J. Haglund, J. Remmel, M. Yoo) -- Asymptotic Behaviour of Certain q-Poisson, q-Binomial and Negative q-Binomial Distributions (A. Kyriakoussis, M. Vamvakari) -- Asymptotic Estimates for Queueing Systems with Time-Varying Periodic Transition Rates (B. Margolius) -- A Combinatorial Analysis of the M/M[m]/1 Queue (G. Mercankosk, G.M. Nair) -- Laws Relating Runs, Long Runs, and Steps in Gambler’s Ruin, with Persistence in Two Strata (G.J. Morrow) -- Paired Patterns in Lattice Paths (R.Pan, J.B. Remmel).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.Developments in Mathematics,1389-2177 ;58CombinatoricsNumber theoryGraph theoryConvex geometry Discrete geometryProbabilitiesCombinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Number Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Graph Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M29020Convex and Discrete Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21014Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Combinatorics.Number theory.Graph theory.Convex geometry .Discrete geometry.Probabilities.Combinatorics.Number Theory.Graph Theory.Convex and Discrete Geometry.Probability Theory and Stochastic Processes.511.33Andrews George Eedthttp://id.loc.gov/vocabulary/relators/edtKrattenthaler Christianedthttp://id.loc.gov/vocabulary/relators/edtKrinik Alanedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910338252803321Lattice Path Combinatorics and Applications1732538UNINA