Lattice Path Combinatorics and Applications

AvGeorge E. Andrews,Christian Krattenthaler

Inbunden, Engelska, 2019

Del i serien Developments in Mathematics

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Beskrivning

The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume.

Produktinformation

Utgivningsdatum:2019-03-15
Mått:155 x 235 x 30 mm
Vikt:828 g
Format:Inbunden
Språk:Engelska
Serie:Developments in Mathematics
Antal sidor:418
Förlag:Springer Nature Switzerland AG
ISBN:9783030111014

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Innehållsförteckning

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).