The area determined by underdiagonal lattice paths (original) (raw)

Generating functions for the area below some lattice paths

Donatella Merlini

Discrete Mathematics & Theoretical Computer Science, 2003

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Analytic Combinatorics of Lattice Paths: Enumeration and Asymptotics for the Area

Bernhard Gittenberger

Discrete Mathematics & Theoretical Computer Science, 2006

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Some New Results on the Number of Paths

Beih El-Desouky

Open Journal of Modelling and Simulation, 2015

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Exterior Pairs and Up Step Statistics on Dyck Paths

Tung-Shan Fu

The Electronic Journal of Combinatorics, 2011

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Staircase polygons and recurrent lattice walks

lawrence glasser

Physical Review E, 1993

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Area of Catalan paths on a checkerboard

Tung-Shan Fu

European Journal of Combinatorics, 2007

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The number of minimal lattice paths restricted by two parallel lines

Thiên Huỳnh Công

Discrete Mathematics, 1983

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Explicit Formulas for Enumeration of Lattice Paths: Basketball and the Kernel Method

Alan Krinik

Lattice Path Combinatorics and Applications, 2019

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Asymptotic counts for the walk multiples of self-avoiding polygons on lattices using sieves 1

Pierre-Louis Giscard

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Some further results on the height of lattice paths

Wolfgang Panny

Journal of Statistical Planning and Inference, 1993

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Asymptotic counts for the walk multiples of self-avoiding polygons on lattices using sieves

Pierre-Louis Giscard

arXiv: Combinatorics, 2020

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An area-to-inv bijection between Dyck paths and 312-avoiding permutations

Jason Bandlow

JOURNAL OF COMBINATORICS, 2001

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Proper generating trees and their internal path length

Donatella Merlini

Discrete Applied Mathematics, 2008

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Refined Chung–Feller theorems for lattice paths

Yeong-Nan Yeh

Journal of Combinatorial Theory, Series A, 2005

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Generalized Dyck paths

Yeong-Nan Yeh

Discrete Mathematics, 1990

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Enumeration of generalised directed lattice paths in a strip

Anum Khalid

2019

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Analytic Combinatorics of Lattice Paths with Forbidden Patterns, the Vectorial Kernel Method, and Generating Functions for Pushdown Automata

Bernhard Gittenberger

Algorithmica, 2019

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Standard Young tableaux and lattice paths

Shaun V Ault

2021

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Lattice Paths With a First Return Decomposition Constrained by the Maximal Height of a Pattern

Jean-Luc Baril

Discrete Mathematics Letters, 2021

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Square Lattice Self-Avoiding Walks and Polygons

Anthony Guttmann

Annals of Combinatorics, 2001

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Counting paths in corridors using circular Pascal arrays

Charles Kicey, Shaun V Ault

Discrete Mathematics, 2014

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Random walks on periodic and random lattices. II. Random walk properties via generating function techniques

Katja Lindenberg

Journal of Statistical Physics, 1979

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A Shuffle Theorem for Paths Under Any Line

Jennifer Morse

2021

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Bell polynomials and -generalized Dyck paths

Toufik Mansour

Discrete Applied Mathematics, 2008

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Returns and Hills on Generalized Dyck Paths

jillian mcleod

J. Integer Seq., 2016

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Self-avoiding walks and polygons on the triangular lattice

Iwan Jensen

Journal of Statistical Mechanics: Theory and Experiment, 2004

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Counting Pairs of Lattice Paths by Intersections

Wayne Goddard

Journal of Combinatorial Theory, Series A, 1996

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Area Distribution of Two-Dimensional Random Walks on a Square Lattice

Stephane Ouvry

Journal of Statistical Physics, 2009

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On the Entropy of Spanning Trees on a Large Triangular Lattice

lawrence glasser

The Ramanujan Journal, 2005

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Refinements of Lattice paths with flaws

Yeong-Nan Yeh

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On the combinatorics of modified lattice paths and generalized qqq-series

Megha Goyal

Contributions Discret. Math., 2018

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Catalan Numbers and Random Walks on Trees

Joel Cohen

2004

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Some bijective results about the area of Schröder paths

simone rinaldi

Theoretical Computer Science, 2003

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Staircase tilings and lattice paths

Silvia Heubach

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