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\n  \n article\n \n \n (9)\n \n \n
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\n \n\n \n \n \n \n \n \n Probabilizing parking functions.\n \n \n \n \n\n\n \n Diaconis, P.; and Hicks, A.\n\n\n \n\n\n\n Adv. in Appl. Math., 89: 125–155. 2017.\n \n\n\n\n
\n\n\n\n \n \n \"ProbabilizingPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 6 downloads\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article {MR3655735,\r\n\tAUTHOR = {Diaconis, Persi and Hicks, Angela},\r\n\tTITLE = {Probabilizing parking functions},\r\n\tJOURNAL = {Adv. in Appl. Math.},\r\n\tFJOURNAL = {Advances in Applied Mathematics},\r\n\tVOLUME = {89},\r\n\tYEAR = {2017},\r\n\tPAGES = {125--155},\r\n\tISSN = {0196-8858},\r\n\tMRCLASS = {60C05 (05A15 05D40 60B99)},\r\n\tMRNUMBER = {3655735},\r\n\tMRREVIEWER = {Martin V. Hildebrand},\r\n\tURL = {https://doi.org/10.1016/j.aam.2017.05.004},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n An exercise(?) in Fourier analysis on the Heisenberg group.\n \n \n \n \n\n\n \n Bump, D.; Diaconis, P.; Hicks, A.; Miclo, L.; and Widom, H.\n\n\n \n\n\n\n Ann. Fac. Sci. Toulouse Math. (6), 26(2): 263–288. 2017.\n \n\n\n\n
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@article {MR3640891,\r\n\tAUTHOR = {Bump, Daniel and Diaconis, Persi and Hicks, Angela and Miclo,\r\n\t\tLaurent and Widom, Harold},\r\n\tTITLE = {An exercise(?) in {F}ourier analysis on the {H}eisenberg\r\n\t\tgroup},\r\n\tJOURNAL = {Ann. Fac. Sci. Toulouse Math. (6)},\r\n\tFJOURNAL = {Annales de la Facult\\'e des Sciences de Toulouse. Math\\'ematiques.\r\n\t\tS\\'erie 6},\r\n\tVOLUME = {26},\r\n\tYEAR = {2017},\r\n\tNUMBER = {2},\r\n\tPAGES = {263--288},\r\n\tISSN = {0240-2963},\r\n\tMRCLASS = {60B15 (20F18 43A30 60J10)},\r\n\tMRNUMBER = {3640891},\r\n\tMRREVIEWER = {Martin V. Hildebrand},\r\n\tURL = {https://doi.org/10.5802/afst.1533},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n A simpler formula for the number of diagonal inversions of an $(m,n)$-parking function and a returning fermionic formula.\n \n \n \n \n\n\n \n Hicks, A.; and Leven, E.\n\n\n \n\n\n\n Discrete Math., 338(3): 48–65. 2015.\n \n\n\n\n
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@article {MR3291867,\r\n\tAUTHOR = {Hicks, Angela and Leven, Emily},\r\n\tTITLE = {A simpler formula for the number of diagonal inversions of an\r\n\t\t{$(m,n)$}-parking function and a returning fermionic formula},\r\n\tJOURNAL = {Discrete Math.},\r\n\tFJOURNAL = {Discrete Mathematics},\r\n\tVOLUME = {338},\r\n\tYEAR = {2015},\r\n\tNUMBER = {3},\r\n\tPAGES = {48--65},\r\n\tISSN = {0012-365X},\r\n\tMRCLASS = {05A19 (05A10)},\r\n\tMRNUMBER = {3291867},\r\n\tMRREVIEWER = {Mikhail Mazin},\r\n\tURL = {https://doi.org/10.1016/j.disc.2014.10.016},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n A parking function bijection supporting the Haglund-Morse-Zabrocki conjectures.\n \n \n \n \n\n\n \n Hicks, A.\n\n\n \n\n\n\n Int. Math. Res. Not. IMRN, (7): 1853–1884. 2014.\n \n\n\n\n
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@article {MR3190353,\r\n\tAUTHOR = {Hicks, Angela},\r\n\tTITLE = {A parking function bijection supporting the\r\n\t\t{H}aglund-{M}orse-{Z}abrocki conjectures},\r\n\tJOURNAL = {Int. Math. Res. Not. IMRN},\r\n\tFJOURNAL = {International Mathematics Research Notices. IMRN},\r\n\tYEAR = {2014},\r\n\tNUMBER = {7},\r\n\tPAGES = {1853--1884},\r\n\tISSN = {1073-7928},\r\n\tMRCLASS = {05E05},\r\n\tMRNUMBER = {3190353},\r\n\tMRREVIEWER = {Edward E. Allen},\r\n\tURL = {https://doi.org/10.1093/imrn/rns273},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n A refinement of the shuffle conjecture with cars of two sizes and $t=1/q$.\n \n \n \n \n\n\n \n Hicks, A.; and Leven, E.\n\n\n \n\n\n\n J. Comb., 5(1): 31–50. 2014.\n \n\n\n\n
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@article {MR3173796,\r\n\tAUTHOR = {Hicks, Angela and Leven, Emily},\r\n\tTITLE = {A refinement of the shuffle conjecture with cars of two sizes\r\n\t\tand {$t=1/q$}},\r\n\tJOURNAL = {J. Comb.},\r\n\tFJOURNAL = {Journal of Combinatorics},\r\n\tVOLUME = {5},\r\n\tYEAR = {2014},\r\n\tNUMBER = {1},\r\n\tPAGES = {31--50},\r\n\tISSN = {2156-3527},\r\n\tMRCLASS = {05E05 (05E10)},\r\n\tMRNUMBER = {3173796},\r\n\tMRREVIEWER = {Mikhail Mazin},\r\n\tURL = {https://doi.org/10.4310/JOC.2014.v5.n1.a2},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n Statistics on parallelogram polyominoes and a $q,t$-analogue of the Narayana numbers.\n \n \n \n \n\n\n \n Aval, J.; D'Adderio, M.; Dukes, M.; Hicks, A.; and Le Borgne, Y.\n\n\n \n\n\n\n J. Combin. Theory Ser. A, 123: 271–286. 2014.\n \n\n\n\n
\n\n\n\n \n \n \"StatisticsPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article {MR3157811,\r\n\tAUTHOR = {Aval, Jean-Christophe and D'Adderio, Michele and Dukes, Mark\r\n\t\tand Hicks, Angela and Le Borgne, Yvan},\r\n\tTITLE = {Statistics on parallelogram polyominoes and a {$q,t$}-analogue\r\n\t\tof the {N}arayana numbers},\r\n\tJOURNAL = {J. Combin. Theory Ser. A},\r\n\tFJOURNAL = {Journal of Combinatorial Theory. Series A},\r\n\tVOLUME = {123},\r\n\tYEAR = {2014},\r\n\tPAGES = {271--286},\r\n\tISSN = {0097-3165},\r\n\tMRCLASS = {05B50 (05E05)},\r\n\tMRNUMBER = {3157811},\r\n\tMRREVIEWER = {Anton Vladimirovich Shutov},\r\n\tURL = {https://doi.org/10.1016/j.jcta.2013.09.001},\r\n}\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n An explicit formula for ndinv, a new statistic for two-shuffle parking functions.\n \n \n \n \n\n\n \n Hicks, A.; and Kim, Y.\n\n\n \n\n\n\n J. Combin. Theory Ser. A, 120(1): 64–76. 2013.\n \n\n\n\n
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@article {MR2971697,\r\n\tAUTHOR = {Hicks, Angela and Kim, Yeonkyung},\r\n\tTITLE = {An explicit formula for ndinv, a new statistic for two-shuffle\r\n\t\tparking functions},\r\n\tJOURNAL = {J. Combin. Theory Ser. A},\r\n\tFJOURNAL = {Journal of Combinatorial Theory. Series A},\r\n\tVOLUME = {120},\r\n\tYEAR = {2013},\r\n\tNUMBER = {1},\r\n\tPAGES = {64--76},\r\n\tISSN = {0097-3165},\r\n\tMRCLASS = {05E05 (05E10)},\r\n\tMRNUMBER = {2971697},\r\n\tMRREVIEWER = {Matja\\v z Konvalinka},\r\n\tURL = {https://doi.org/10.1016/j.jcta.2012.07.006},\r\n}\r\n\r\n\r\n\r\n
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\n \n\n \n \n \n \n \n \n Two parking function bijections: a sharpening of the $q$, $t$-Catalan and Shröder theorems.\n \n \n \n \n\n\n \n Hicks, A. S.\n\n\n \n\n\n\n Int. Math. Res. Not. IMRN, (13): 3064–3088. 2012.\n \n\n\n\n
\n\n\n\n \n \n \"TwoPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article {MR2946232,\r\n\tAUTHOR = {Hicks, Angela S.},\r\n\tTITLE = {Two parking function bijections: a sharpening of the {$q$},\r\n\t\t{$t$}-{C}atalan and {S}hr\\"oder theorems},\r\n\tJOURNAL = {Int. Math. Res. Not. IMRN},\r\n\tFJOURNAL = {International Mathematics Research Notices. IMRN},\r\n\tYEAR = {2012},\r\n\tNUMBER = {13},\r\n\tPAGES = {3064--3088},\r\n\tISSN = {1073-7928},\r\n\tMRCLASS = {05E10},\r\n\tMRNUMBER = {2946232},\r\n\tMRREVIEWER = {Christian Stump},\r\n\tURL = {https://doi.org/10.1093/imrn/rnr132},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n The case $k=2$ of the shuffle conjecture.\n \n \n \n \n\n\n \n Garsia, A.; Hicks, A.; and Stout, A.\n\n\n \n\n\n\n J. Comb., 2(2): 193–229. 2011.\n \n\n\n\n
\n\n\n\n \n \n \"ThePaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article {MR2913193,\r\n\tAUTHOR = {Garsia, Adriano and Hicks, Angela and Stout, Andrew},\r\n\tTITLE = {The case {$k=2$} of the shuffle conjecture},\r\n\tJOURNAL = {J. Comb.},\r\n\tFJOURNAL = {Journal of Combinatorics},\r\n\tVOLUME = {2},\r\n\tYEAR = {2011},\r\n\tNUMBER = {2},\r\n\tPAGES = {193--229},\r\n\tISSN = {2156-3527},\r\n\tMRCLASS = {05A05 (05A15 05E05)},\r\n\tMRNUMBER = {2913193},\r\n\tURL = {https://doi.org/10.4310/JOC.2011.v2.n2.a2},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n Parking Function Polynomials and Their Relation to the Shuffle Conjecture.\n \n \n \n\n\n \n Hicks, A. S.\n\n\n \n\n\n\n ProQuest LLC, Ann Arbor, MI, 2013.\n Thesis (Ph.D.)–University of California, San Diego\n\n\n\n
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@Book{MR3167322,\r\n  title     = {Parking {F}unction {P}olynomials and {T}heir {R}elation to the {S}huffle {C}onjecture},\r\n  publisher = {ProQuest LLC, Ann Arbor, MI},\r\n  year      = {2013},\r\n  author    = {Hicks, Angela Sue},\r\n  isbn      = {978-1303-19793-2},\r\n  note      = {Thesis (Ph.D.)--University of California, San Diego},\r\n  mrclass   = {Thesis},\r\n  mrnumber  = {3167322},\r\n  pages     = {108},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n Useful bounds on the extreme eigenvalues and vectors of matrices for Harper's operators.\n \n \n \n\n\n \n Bump, D.; Diaconis, P.; Hicks, A.; Miclo, L.; and Widom, H.\n\n\n \n\n\n\n In Large truncated Toeplitz matrices, Toeplitz operators, and related topics, volume 259, of Oper. Theory Adv. Appl., pages 235–265. Birkhäuser/Springer, Cham, 2017.\n \n\n\n\n
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@incollection {MR3644519,\r\n\tAUTHOR = {Bump, Daniel and Diaconis, Persi and Hicks, Angela and Miclo,\r\n\t\tLaurent and Widom, Harold},\r\n\tTITLE = {Useful bounds on the extreme eigenvalues and vectors of\r\n\t\tmatrices for {H}arper's operators},\r\n\tBOOKTITLE = {Large truncated {T}oeplitz matrices, {T}oeplitz operators, and\r\n\t\trelated topics},\r\n\tSERIES = {Oper. Theory Adv. Appl.},\r\n\tVOLUME = {259},\r\n\tPAGES = {235--265},\r\n\tPUBLISHER = {Birkh\\"auser/Springer, Cham},\r\n\tYEAR = {2017},\r\n\tMRCLASS = {60B15 (20P05)},\r\n\tMRNUMBER = {3644519},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n A $q,t$-analogue of Narayana numbers.\n \n \n \n\n\n \n Aval, J.; D'Adderio, M.; Dukes, M.; Hicks, A.; and Le Borgne, Y.\n\n\n \n\n\n\n In 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), of Discrete Math. Theor. Comput. Sci. Proc., AS, pages 623–634. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2013.\n \n\n\n\n
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@incollection {MR3091027,\r\n\tAUTHOR = {Aval, Jean-Christophe and D'Adderio, Michele and Dukes, Mark\r\n\tand Hicks, Angela and Le Borgne, Yvan},\r\n\tTITLE = {A {$q,t$}-analogue of {N}arayana numbers},\r\n\tBOOKTITLE = {25th {I}nternational {C}onference on {F}ormal {P}ower {S}eries\r\n\tand {A}lgebraic {C}ombinatorics ({FPSAC} 2013)},\r\n\tSERIES = {Discrete Math. Theor. Comput. Sci. Proc., AS},\r\n\tPAGES = {623--634},\r\n\tPUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},\r\n\tYEAR = {2013},\r\n\tMRCLASS = {05B50 (05Axx 05E05)},\r\n\tMRNUMBER = {3091027},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n An explicit formula for ndinv, a new statistic for two-shuffle parking functions.\n \n \n \n\n\n \n Hicks, A.; and Kim, Y.\n\n\n \n\n\n\n In 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), of Discrete Math. Theor. Comput. Sci. Proc., AR, pages 147–156. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2012.\n \n\n\n\n
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@incollection {MR2957993,\r\n\tAUTHOR = {Hicks, Angela and Kim, Yeonkyung},\r\n\tTITLE = {An explicit formula for ndinv, a new statistic for two-shuffle\r\n\tparking functions},\r\n\tBOOKTITLE = {24th {I}nternational {C}onference on {F}ormal {P}ower {S}eries\r\n\tand {A}lgebraic {C}ombinatorics ({FPSAC} 2012)},\r\n\tSERIES = {Discrete Math. Theor. Comput. Sci. Proc., AR},\r\n\tPAGES = {147--156},\r\n\tPUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},\r\n\tYEAR = {2012},\r\n\tMRCLASS = {05E05 (05E10)},\r\n\tMRNUMBER = {2957993},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n Connections between a family of recursive polynomials and parking function theory.\n \n \n \n\n\n \n Hicks, A.\n\n\n \n\n\n\n In 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), of Discrete Math. Theor. Comput. Sci. Proc., AR, pages 111–121. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2012.\n \n\n\n\n
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@incollection {MR2957990,\r\n\tAUTHOR = {Hicks, Angela},\r\n\tTITLE = {Connections between a family of recursive polynomials and\r\n\tparking function theory},\r\n\tBOOKTITLE = {24th {I}nternational {C}onference on {F}ormal {P}ower {S}eries\r\n\tand {A}lgebraic {C}ombinatorics ({FPSAC} 2012)},\r\n\tSERIES = {Discrete Math. Theor. Comput. Sci. Proc., AR},\r\n\tPAGES = {111--121},\r\n\tPUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},\r\n\tYEAR = {2012},\r\n\tMRCLASS = {05E05},\r\n\tMRNUMBER = {2957990},\r\n}\r\n\r\n
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\n \n\n \n \n \n \n \n \n Quasisymmetric Power Sums.\n \n \n \n \n\n\n \n Ballantine, C.; Daugherty, Z.; Hicks, A.; Mason, S.; and Niese, E.\n\n\n \n\n\n\n .\n submitted\n\n\n\n
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@Unpublished{quasipower,\r\n  author = {Cristina Ballantine and Zajj Daugherty and Angela Hicks and Sarah Mason and Elizabeth Niese},\r\n  title  = {Quasisymmetric Power Sums},\r\n  note   = {submitted},\r\n  url    = {https://arxiv.org/abs/1710.11613},\r\n}\r\n\r\n
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