LEADER 05277nam 22006735 450 001 9910338252803321 005 20200630220909.0 010 $a3-030-11102-4 024 7 $a10.1007/978-3-030-11102-1 035 $a(CKB)4100000007758156 035 $a(MiAaPQ)EBC5723082 035 $a(DE-He213)978-3-030-11102-1 035 $a(PPN)235228877 035 $a(EXLCZ)994100000007758156 100 $a20190302d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLattice Path Combinatorics and Applications /$fedited by George E. Andrews, Christian Krattenthaler, Alan Krinik 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (443 pages) 225 1 $aDevelopments in Mathematics,$x1389-2177 ;$v58 311 $a3-030-11101-6 327 $aPreface -- 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). 330 $aRecent methods used in lattice path combinatorics and various related branches of enumerative combinatorics are grouped together and presented in this volume, together with relevant applications. Contributions are mainly comprised of research articles though an attractive bonus is the inclusion of several captivating, expository articles on the life and mathematical work of leading researchers in lattice path combinatorics and beyond. ?The 8th International Conference on Lattice Path Combinatorics and Applications? held in the summer of 2015, provided opportunities for new collaborations and this volume also presents some stimulating ideas from newcomers to the conference series. This book will be of interest to researchers in lattice path combinatorics and enumerative combinatorics including subsets of researchers in mathematics, statistics, operations research, and computer science. The applications of the material covered in this Work extend beyond the primary audience to scholars interested in queueing theory, graph theory, rook theory, tilings, partitions, distributions, Markov processes, and more. 410 0$aDevelopments in Mathematics,$x1389-2177 ;$v58 606 $aCombinatorics 606 $aNumber theory 606 $aGraph theory 606 $aConvex geometry  606 $aDiscrete geometry 606 $aProbabilities 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020 606 $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aCombinatorics. 615 0$aNumber theory. 615 0$aGraph theory. 615 0$aConvex geometry . 615 0$aDiscrete geometry. 615 0$aProbabilities. 615 14$aCombinatorics. 615 24$aNumber Theory. 615 24$aGraph Theory. 615 24$aConvex and Discrete Geometry. 615 24$aProbability Theory and Stochastic Processes. 676 $a511.33 702 $aAndrews$b George E$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKrattenthaler$b Christian$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKrinik$b Alan$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910338252803321 996 $aLattice Path Combinatorics and Applications$91732538 997 $aUNINA