@article{Spivey,
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	doi={10.37236/2477},
	}

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@article{Sen,
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@book{Moh,
	series_notused = {Probability and {Mathematical} {Statistics}},
	title = {{Lattice Path Counting and Applications}},
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	mrnumber = {0141605},
	url={https://archive.org/details/combinatoryanal01macmuoft},
	}

@article{Lin,
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@article{Krat-nonint,
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	mrnumber = {1254150},
	pages_notused = {vi+109},
	url={https://www.emis.de/journals/SLC/opapers/s29kratt.pdf},
    }

@incollection{Krat-turns,
	series = {Stat. {Ind}. {Technol}.},
	title = {The enumeration of lattice paths with respect to their number of turns},
	MRurl = {https://mathscinet.ams.org/mathscinet-getitem?mr=1456725},
	urldate = {2021-08-08},
	booktitle = {{Advances in Combinatorial Methods and Applications to Probability and Statistics}},
	publisher = {Birkh{\"a}user},
	author = {Krattenthaler, Christian},
	year = {1997},
	mrnumber = {1456725},
	pages = {29--58},
	url={https://www.mat.univie.ac.at/~kratt/artikel/turnsurv.pdf},
}

@incollection{Krat,
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	title = {Lattice path enumeration},
	MRurl = {https://mathscinet.ams.org/mathscinet-getitem?mr=3409351},
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	booktitle = {{Handbook of Enumerative Combinatorics}},
	publisher = {CRC Press},
	author = {Krattenthaler, Christian},
	year = {2015},
	mrnumber = {3409351},
	pages = {589--678},
	url={https://arxiv.org/pdf/1503.05930},
	}

@article{Kul,
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	year = {1996},
	mrnumber = {1395454},
	pages = {141--151},
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@article{KW,
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	year = {1978},
	mrnumber = {521651},
	pages = {87--90},
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@article{GV,
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	MRurl = {https://mathscinet.ams.org/mathscinet-getitem?mr=815360},
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	mrnumber = {815360},
	pages = {300--321},
    }

@article{FH,
	title = {$q$-{Catalan} numbers},
	volume = {40},
	issn = {0097-3165},
	MRurl = {https://mathscinet.ams.org/mathscinet-getitem?mr=814413},
	doi = {10.1016/0097-3165(85)90089-5},
	number = {2},
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	author = {F{\"u}rlinger, Johannes and Hofbauer, Joseph},
	year = {1985},
	mrnumber = {814413},
	pages = {248--264},
}

@article{Fisher,
	title = {Walks, walls, wetting, and melting},
	volume = {34},
	issn = {0022-4715},
	MRurl = {https://mathscinet.ams.org/mathscinet-getitem?mr=751710},
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	author = {Fisher, Michael E.},
	year = {1984},
	mrnumber = {751710},
	pages = {667--729},
}

@book{Feller-book,
	edition = {Third},
	title = {{An Introduction to Probability Theory and Its Applications. {Vol}. {I}}},
	MRurl = {https://mathscinet.ams.org/mathscinet-getitem?mr=0228020},
	urldate = {2021-08-08},
	publisher = {John Wiley \& Sons},
	author = {Feller, William},
	year = {1968},
	mrnumber = {0228020},
	url={https://www.gwern.net/docs/statistics/probability/1957-feller-anintroductiontoprobabilitytheoryanditsapplications.pdf},
}

@article{Feller,
	title = {The numbers of zeros and of changes of sign in a symmetric random walk},
	volume = {3},
	issn = {0013-8584},
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	urldate = {2021-08-08},
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	author = {Feller, William},
	year = {1957},
	mrnumber = {97864},
	pages = {229--235},
	url={https://www.e-periodica.ch/cntmng?pid=ens-001:1957:3::62},
}

@article{Eng,
	title = {On some problems concerning a restricted random walk},
	volume = {2},
	issn = {0021-9002},
	MRurl = {https://mathscinet.ams.org/mathscinet-getitem?mr=182993},
	doi = {10.1017/s0021900200108721},
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	author = {Engelberg, Ora},
	year = {1965},
	mrnumber = {182993},
	pages = {396--404},
}

@misc{CES,
	title = {Generalized rank parity blocks in partitions},
	author = {Corteel, Sylvie and Elizalde, Sergi and Savage, Carla D.},
	note = {In preparation},
}

@article{part1,
	title = {Counting lattice paths by crossings and major index {I}: the corner-flipping bijections},
	url_notused = {http://arxiv.org/abs/2106.09878},
	abstract = {We solve two problems regarding the enumeration of lattice paths in \${\textbackslash}mathbb\{Z\}{\textasciicircum}2\$ with steps \$(1,1)\$ and \$(1,-1)\$ with respect to the major index, defined as the sum of the positions of the valleys, and to the number of certain crossings. The first problem considers crossings of a single path with a fixed horizontal line. The second one counts pairs of paths with respect to the number of times they cross each other. Our proofs introduce lattice path bijections with convenient visual descriptions, and the answers are given by remarkably simple formulas involving \$q\$-binomial coefficients.},
	fjournal = {Combinatorial Theory}, 
        journal = {Comb. Theory}, 
        number={2},
        volume ={2},
	author = {Elizalde, Sergi},
        pages={Article \#14, 37~pp.},
        doi={10.5070/C62257880},
	year = {2022},
	keywords = {05A19 (Primary) 05A15, 05A30 (Secondary), Mathematics - Combinatorics},
}

@book{Andrews,
	series_notused = {Encyclopedia of {Mathematics} and its {Applications}, {Vol}. 2},
	title = {{The Theory of Partitions}},
	MRurl = {https://mathscinet.ams.org/mathscinet-getitem?mr=0557013},
	urldate = {2022-04-28},
	publisher = {Addison-Wesley},
	author = {Andrews, George E.},
	year = {1976},
	mrnumber = {0557013},
	doi={10.1017/CBO9780511608650}
}

@article{Krat-turns0,
	title = {Counting nonintersecting lattice paths with turns},
	volume = {34},
	MRurl = {https://mathscinet.ams.org/mathscinet-getitem?mr=1399756},
	urldate = {2022-04-28},
	journal = {S{\'e}m. Lothar. Combin.},
	author = {Krattenthaler, Christian},
	year = {1995},
	mrnumber = {1399756},
	pages = {Article~B34i, 17~pp.},
	url={https://www.emis.de/journals/SLC/wpapers/s34vienna.pdf}
}