% Frozen local bibliography: data only, no global citation labels.
@article{Aldous1978,
  author = {D.~Aldous},
  title = {{Stopping times and tightness}},
  journaltitle = {Annals of Probability},
  volume = {6},
  number = {2},
  pages = {335--340},
  year = {1978},
  doi = {10.1214/aop/1176995579}
}

@article{BaiHwangLiang1998,
  author = {Z.-D.~Bai and H.-K.~Hwang and W.-Q.~Liang},
  title = {{Normal approximations of the number of records in geometrically distributed random variables}},
  journaltitle = {Random Structures \& Algorithms},
  volume = {13},
  number = {3--4},
  pages = {319--334},
  year = {1998},
  doi = {10.1002/(SICI)1098-2418(199810/12)13:3/4<319::AID-RSA7>3.0.CO;2-Y}
}

@article{Barbour1988SteinProcess,
  author = {A. D. Barbour},
  title = {{Stein's method and Poisson process convergence}},
  journaltitle = {Journal of Applied Probability},
  volume = {25A},
  pages = {175--184},
  year = {1988},
  doi = {10.2307/3214155}
}

@article{BourguinPeccati2014,
  author = {S.~Bourguin and G.~Peccati},
  title = {{Portmanteau inequalities on the Poisson space: mixed regimes and multidimensional clustering}},
  journaltitle = {Electronic Journal of Probability},
  volume = {19},
  eid = {66},
  pages = {1--42},
  year = {2014},
  doi = {10.1214/EJP.v19-2879},
  eprinttype = {arxiv},
  eprint = {1209.3098}
}

@article{DoukhanMassartRio1994,
  author = {P.~Doukhan and P.~Massart and E.~Rio},
  title = {{The functional central limit theorem for strongly mixing processes}},
  journaltitle = {Annales de l’Institut Henri Poincaré, Probabilités et Statistiques},
  volume = {30},
  number = {1},
  pages = {63--82},
  year = {1994},
  url = {https://www.numdam.org/item/AIHPB_1994__30_1_63_0/}
}

@article{FlajoletGourdonDumas1995,
  author = {P.~Flajolet and X.~Gourdon and P.~Dumas},
  title = {{Mellin transforms and asymptotics: harmonic sums}},
  journaltitle = {Theoretical Computer Science},
  volume = {144},
  number = {1--2},
  pages = {3--58},
  year = {1995},
  doi = {10.1016/0304-3975(95)00002-E}
}

@article{Gnedin2008,
  author = {A.~V.~Gnedin},
  title = {{Corners and records of the Poisson process in quadrant}},
  journaltitle = {Electronic Communications in Probability},
  volume = {13},
  eid = {18},
  pages = {187--193},
  year = {2008},
  doi = {10.1214/ECP.v13-1351},
  eprinttype = {arxiv},
  eprint = {0709.1285}
}

@article{GoldieGrubel2008,
  author = {C.~M.~Goldie and R.~Gr\"ubel},
  title = {{Cumulative record times in a Poisson process}},
  journaltitle = {Stochastics},
  volume = {80},
  number = {2--3},
  pages = {157--174},
  year = {2008},
  doi = {10.1080/17442500701841115},
  eprinttype = {arxiv},
  eprint = {0712.3420}
}

@article{GordonSchillingWaterman1986,
  author = {L. Gordon and M. F. Schilling and M. S. Waterman},
  title = {{An extreme value theory for long head runs}},
  journaltitle = {Probability Theory and Related Fields},
  volume = {72},
  number = {2},
  pages = {279--287},
  year = {1986},
  doi = {10.1007/BF00699107}
}

@article{GouetLopezSanz2005,
  author = {R.~Gouet and F.~J.~L\'opez and G.~Sanz},
  title = {{Central limit theorems for the number of records in discrete models}},
  journaltitle = {Advances in Applied Probability},
  volume = {37},
  number = {3},
  pages = {781--800},
  year = {2005},
  doi = {10.1239/aap/1127483747}
}

@article{GrubelReimers2001,
  author = {R.~Gr\"ubel and A.~Reimers},
  title = {{On the total time spent in records by a discrete uniform sequence}},
  journaltitle = {Journal of Applied Probability},
  volume = {38},
  number = {3},
  pages = {768--775},
  year = {2001},
  doi = {10.1239/jap/1005091040}
}

@article{HollandTodd2019,
  author = {M.~Holland and M.~Todd},
  title = {{Weak convergence to extremal processes and record events for non-uniformly hyperbolic dynamical systems}},
  journaltitle = {Ergodic Theory and Dynamical Systems},
  volume = {39},
  number = {4},
  pages = {980--1001},
  year = {2019},
  doi = {10.1017/etds.2017.56}
}

@article{KhoshnevisanShi1999,
  author = {D.~Khoshnevisan and Z.~Shi},
  title = {{Brownian sheet and capacity}},
  journaltitle = {Annals of Probability},
  volume = {27},
  number = {3},
  pages = {1135--1159},
  year = {1999},
  doi = {10.1214/aop/1022677442}
}

@article{Krizmanic2014,
  author = {D.~Krizmani\'c},
  title = {{Weak convergence of partial maxima processes in the $M_1$ topology}},
  journaltitle = {Extremes},
  volume = {17},
  pages = {447--465},
  year = {2014},
  doi = {10.1007/s10687-014-0190-0},
  eprinttype = {arxiv},
  eprint = {1404.1480}
}

@book{LastPenrosePoissonProcess,
  author = {Last, Günter and Penrose, Mathew},
  title = {{Lectures on the Poisson Process}},
  series = {Institute of Mathematical Statistics Textbooks},
  number = {7},
  publisher = {Cambridge University Press},
  year = {2017},
  doi = {10.1017/9781316104477},
  url = {https://stoch.math.kit.edu/img/Last/lastpenrose2017.pdf}
}

@unpublished{PoulyLongRuns,
  author = {Pouly, Brice},
  title = {{Long runs and rare patterns of a random completely multiplicative function}},
  date = {2026-09-21},
  note = {Preprint, Version 3. Zenodo. With technical companion},
  doi = {10.5281/zenodo.22872154}
}

@article{Prodinger1996,
  author = {H.~Prodinger},
  title = {{Combinatorics of geometrically distributed random variables: left-to-right maxima}},
  journaltitle = {Discrete Mathematics},
  volume = {153},
  number = {1--3},
  pages = {253--270},
  year = {1996},
  doi = {10.1016/0012-365X(95)00141-I}
}

@incollection{Rollin2012SteinFactors,
  author = {A. R\"ollin},
  title = {{On the optimality of Stein factors}},
  booktitle = {Probability Approximations and Beyond},
  series = {Lecture Notes in Statistics},
  volume = {205},
  pages = {61--72},
  publisher = {Springer},
  year = {2012},
  doi = {10.1007/978-1-4614-1966-2_5},
  eprinttype = {arxiv},
  eprint = {0706.0879},
  editor = {Barbour, Andrew and Chan, Hock Peng and Siegmund, David}
}

@article{Veraar2011,
  author = {M.~C.~Veraar},
  title = {{Regularity of Gaussian white noise on the $d$-dimensional torus}},
  journaltitle = {Banach Center Publications},
  volume = {95},
  pages = {385--398},
  year = {2011},
  doi = {10.4064/bc95-0-24},
  eprinttype = {arxiv},
  eprint = {1010.6219}
}

@article{Vervaat1973,
  author = {W.~Vervaat},
  title = {{Limit theorems for records from discrete distributions}},
  journaltitle = {Stochastic Processes and their Applications},
  volume = {1},
  number = {4},
  pages = {317--334},
  year = {1973},
  doi = {10.1016/0304-4149(73)90015-X}
}

@book{Whitt2002,
  author = {W.~Whitt},
  title = {{Stochastic-Process Limits: An Introduction to Stochastic-Process Limits and Their Application to Queues}},
  publisher = {Springer},
  location = {New York},
  year = {2002},
  doi = {10.1007/b97479}
}

@article{Whitt2007,
  author = {W.~Whitt},
  title = {{Proofs of the martingale FCLT}},
  journaltitle = {Probability Surveys},
  volume = {4},
  pages = {268--302},
  year = {2007},
  doi = {10.1214/07-PS122},
  eprinttype = {arxiv},
  eprint = {0712.1929}
}