國立虎尾科技大學 |

Lattice Path Combinatorics and Applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Lattice Path Combinatorics and Applications/ edited by George E. Andrews, Christian Krattenthaler, Alan Krinik.
other author:	Andrews, George E.
Description:	XXV, 418 p. 128 illus., 44 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Combinatorics. -
Online resource:	https://doi.org/10.1007/978-3-030-11102-1
ISBN:	9783030111021

Lattice Path Combinatorics and Applications
Lattice Path Combinatorics and Applications[electronic resource] /edited by George E. Andrews, Christian Krattenthaler, Alan Krinik. - 1st ed. 2019. - XXV, 418 p. 128 illus., 44 illus. in color.online resource. - Developments in Mathematics,581389-2177 ;. - Developments in Mathematics,41.

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.

ISBN: 9783030111021

Standard No.: 10.1007/978-3-030-11102-1doiSubjects--Topical Terms:

669353
Combinatorics.

LC Class. No.: QA164-167.2

Dewey Class. No.: 511.6

Lattice Path Combinatorics and Applications
LDR:04105nam a22003975i 4500 001 1013056
003 DE-He213
005 20200630220909.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030111021 $9 978-3-030-11102-1
024 7 $a 10.1007/978-3-030-11102-1 $2 doi
035 $a 978-3-030-11102-1
050 4 $a QA164-167.2
072 7 $a PBV $2 bicssc
072 7 $a MAT036000 $2 bisacsh
072 7 $a PBV $2 thema
082 0 4 $a 511.6 $2 23
245 1 0 $a Lattice Path Combinatorics and Applications $h [electronic resource] / $c edited by George E. Andrews, Christian Krattenthaler, Alan Krinik.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XXV, 418 p. 128 illus., 44 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Developments in Mathematics, $x 1389-2177 ; $v 58
505 0 $a 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).
520 $a 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.
650 0 $a Combinatorics. $3 669353
650 0 $a Number theory. $3 527883
650 0 $a Graph theory. $3 527884
650 0 $a Convex geometry . $3 1255327
650 0 $a Discrete geometry. $3 672137
650 0 $a Probabilities. $3 527847
650 2 4 $a Number Theory. $3 672023
650 2 4 $a Graph Theory. $3 786670
650 2 4 $a Convex and Discrete Geometry. $3 672138
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
700 1 $a Andrews, George E. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 672200
700 1 $a Krattenthaler, Christian. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1307362
700 1 $a Krinik, Alan. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1307363
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030111014
776 0 8 $i Printed edition: $z 9783030111038
830 0 $a Developments in Mathematics, $x 1389-2177 ; $v 41 $3 1256322
856 4 0 $u https://doi.org/10.1007/978-3-030-11102-1
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)