عنوان
پدید آورنده
موضوع
رده
QA171.5 .A85 2019eb
QA171
.
5
.
A85
2019eb
کتابخانه
محل استقرار
3030266966
9783030266967
9783030266950
Counting lattice paths using Fourier methods /
[Book]
Shaun Ault, Charles Kicey.
Cham :
Birkhäuser,
[2019]
©2019
1 online resource :
illustrations
Applied and numerical harmonic analysis,
2512-6482
Includes bibliographical references and index.
Intro; LN-ANHA Series Preface; Preface; Contents; 1 Lattice Paths and Corridors; 1.1 Corridor Paths; 1.2 Corridor Numbers and State Vectors; 1.3 Dyck Paths and Motzkin Paths; 1.4 The Binomial Coefficients and Unbounded Lattices; 1.5 Relationship to Reflection Principle; 1.6 Application: Skewed-Bottom Corridors; 2 One-Dimensional Lattice Walks; 2.1 Reflections and Transitions; 2.2 The Discrete Fourier Transform; 2.3 Computing Vertex Numbers Using the DFT; 2.4 Application: Three-Way Paths; 2.5 Application: Unbounded Corridors; 2.6 Application: Walks in Cycle Graphs
3 Lattice Walks in Higher Dimensions3.1 Multidimensional Corridors; 3.2 Admissibility and Balanced Transition Operators; 3.3 Fourier Analysis of Multidimensional Corridors; 3.4 Walks Within Corridors with Boundary Identifications; 4 Corridor State Space; 4.1 Vertex States as Vectors; 4.2 Using Eigenvectors to Count Corridor Paths; 4.3 Application: Asymptotic Analysis of Centered Corridors; 4.4 Higher Dimensional Centered Corridors; A Review: Complex Numbers; A.1 Properties of the Complex Numbers; A.2 The Complex Exponential; A.3 Complex Vector Spaces; B Triangular Lattices
B.1 Triangular Lattices and Triangle GroupsB. 2 Tilings of the Plane and Corridors; B.3 Application: Walks in Low-Dimensional Wedges; Selected Solutions; References; ; Index
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8
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Springer Nature
com.springer.onix.9783030266967
Counting Lattice Paths Using Fourier Methods.
9783030266950
Fourier transformations.
Lattice paths.
Fourier transformations.
Lattice paths.
511
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3/3
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QA171
.
5
.
A85
2019eb
Ault, Shaun V.,1979-
Kicey, Charles
20200823093625.0
pn
مطالعه متن کتاب [Book]
Y
