% Frozen selection of external notices and version-specific published corpus records. @article{ArratiaGoldsteinGordon1990, author = {Arratia, Richard and Goldstein, Larry and Gordon, Louis}, title = {{Poisson approximation and the {Chen--Stein} method}}, volume = {5}, number = {4}, pages = {403--424}, year = {1990}, doi = {10.1214/ss/1177012015}, journaltitle = {Statistical Science} } @article{CillerueloGaraev2011, author = {J. Cilleruelo and M. Z. Garaev}, title = {{Concentration of points on two and three dimensional modular hyperbolas and applications}}, doi = {10.1007/s00039-011-0127-6}, eprint = {1007.1526}, eprinttype = {arxiv}, year = {2011}, volume = {21}, journaltitle = {Geometric and Functional Analysis}, pages = {892--904} } @article{ErdosIvicPomerance1986, author = {P. Erd\H{o}s and A. Ivi\'c and C. Pomerance}, title = {{On sums involving reciprocals of the largest prime factor of an integer}}, year = {1986}, volume = {21(41)}, journaltitle = {Glasnik Matematički, Series III}, pages = {283--300}, url = {https://math.dartmouth.edu/~carlp/PDF/54.pdf} } @article{GordonSchillingWaterman1986, author = {L. Gordon and M. F. Schilling and M. S. Waterman}, title = {{An extreme value theory for long head runs}}, doi = {10.1007/BF00699107}, year = {1986}, volume = {72}, journaltitle = {Probability Theory and Related Fields}, number = {2}, pages = {279--287} } @article{KempKemp1965, author = {C.~D.~Kemp and A.~W.~Kemp}, title = {{Some properties of the `Hermite' distribution}}, doi = {10.1093/biomet/52.3-4.381}, year = {1965}, volume = {52}, journaltitle = {Biometrika}, number = {3--4}, pages = {381--394} } @book{LastPenrosePoissonProcess, author = {Last, Günter and Penrose, Mathew}, title = {{Lectures on the Poisson Process}}, doi = {10.1017/9781316104477}, year = {2017}, publisher = {Cambridge University Press}, series = {Institute of Mathematical Statistics Textbooks}, number = {7}, url = {https://stoch.math.kit.edu/img/Last/lastpenrose2017.pdf} } @article{LeCam1960, author = {Le Cam, Lucien}, title = {{An approximation theorem for the {Poisson} binomial distribution}}, volume = {10}, number = {4}, pages = {1181--1197}, year = {1960}, doi = {10.2140/pjm.1960.10.1181}, journaltitle = {Pacific Journal of Mathematics} } @unpublished{PoulyLongRuns, author = {Pouly, Brice}, title = {{Long runs and rare patterns of a random completely multiplicative function}}, date = {2026-09-21}, note =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} } @unpublished{PoulyLatticePoissonFlows, author = {Pouly, Brice}, title = {{Records, scale flows, and Gaussian limits from lattice Poisson fields}}, date = {2026-09-21}, note = {Preprint, Version 2. Zenodo. With technical companion}, doi = {10.5281/zenodo.22876520} } @unpublished{PoulyArithmeticClusters, author = {Pouly, Brice}, title = {{Poisson laws and arithmetic clusters for rare multiplicative patterns}}, date = {2026-09-21}, note = {Preprint, Version 1. Zenodo}, doi = {10.5281/zenodo.22877400} } @unpublished{PoulyMovingPrimeEnvironments, author = {Pouly, Brice}, title = {Moving prime environments and arithmetic cluster limits}, date = {2026-09-21}, note = {Preprint, Version 1. Zenodo}, doi = {10.5281/zenodo.22878806} }