Stegehuis, Clara; Zwart, Bert Scale-free graphs with many edges. (English) Zbl 07790348 Electron. Commun. Probab. 28, Paper No. 62, 11 p. (2023). Reviewer: Nikolaos Fountoulakis (Birmingham) MSC: 05C80 05D40 60F10 PDFBibTeX XMLCite \textit{C. Stegehuis} and \textit{B. Zwart}, Electron. Commun. Probab. 28, Paper No. 62, 11 p. (2023; Zbl 07790348) Full Text: DOI arXiv
Onaran, Efe; Bobrowski, Omer; Adler, Robert J. Functional central limit theorems for local statistics of spatial birth-death processes in the thermodynamic regime. (English) Zbl 07787928 Ann. Appl. Probab. 33, No. 5, 3958-3986 (2023). MSC: 60J80 60G55 60F05 60D05 05C80 PDFBibTeX XMLCite \textit{E. Onaran} et al., Ann. Appl. Probab. 33, No. 5, 3958--3986 (2023; Zbl 07787928) Full Text: DOI arXiv Link
Samorodnitsky, Gennady; Owada, Takashi Large deviations for subcomplex counts and Betti numbers in multiparameter simplicial complexes. (English) Zbl 1526.05141 Random Struct. Algorithms 63, No. 2, 533-556 (2023). MSC: 05E45 PDFBibTeX XMLCite \textit{G. Samorodnitsky} and \textit{T. Owada}, Random Struct. Algorithms 63, No. 2, 533--556 (2023; Zbl 1526.05141) Full Text: DOI arXiv
Banerjee, Sayan; Bhamidi, Shankar; Carmichael, Iain Fluctuation bounds for continuous time branching processes and evolution of growing trees with a change point. (English) Zbl 07720495 Ann. Appl. Probab. 33, No. 4, 2919-2980 (2023). MSC: 60J80 60C05 05C80 PDFBibTeX XMLCite \textit{S. Banerjee} et al., Ann. Appl. Probab. 33, No. 4, 2919--2980 (2023; Zbl 07720495) Full Text: DOI arXiv Link
Wang, Tiandong; Resnick, Sidney Poisson edge growth and preferential attachment networks. (English) Zbl 1515.91128 Methodol. Comput. Appl. Probab. 25, No. 1, Paper No. 8, 25 p. (2023). MSC: 91D30 05C80 60G70 60G55 PDFBibTeX XMLCite \textit{T. Wang} and \textit{S. Resnick}, Methodol. Comput. Appl. Probab. 25, No. 1, Paper No. 8, 25 p. (2023; Zbl 1515.91128) Full Text: DOI
Wang, Tiandong; Resnick, Sidney I. Measuring reciprocity in a directed preferential attachment network. (English) Zbl 1518.60049 Adv. Appl. Probab. 54, No. 3, 718-742 (2022). MSC: 60F15 05C82 60G46 PDFBibTeX XMLCite \textit{T. Wang} and \textit{S. I. Resnick}, Adv. Appl. Probab. 54, No. 3, 718--742 (2022; Zbl 1518.60049) Full Text: DOI arXiv
Bobrowski, Omer; Krioukov, Dmitri Random simplicial complexes: models and phenomena. (English) Zbl 1504.60004 Battiston, Federico (ed.) et al., Higher-order systems. Cham: Springer. Underst. Complex Syst., 59-96 (2022). MSC: 60-02 55-02 55U10 05E45 60D05 05C80 PDFBibTeX XMLCite \textit{O. Bobrowski} and \textit{D. Krioukov}, in: Higher-order systems. Cham: Springer. 59--96 (2022; Zbl 1504.60004) Full Text: DOI arXiv
Björnberg, Jakob; Curien, Nicolas; Stefánsson, Sigurdur Örn Stable shredded spheres and causal random maps with large faces. (English) Zbl 1498.60128 Ann. Probab. 50, No. 5, 2056-2084 (2022). MSC: 60F17 60G51 05C80 PDFBibTeX XMLCite \textit{J. Björnberg} et al., Ann. Probab. 50, No. 5, 2056--2084 (2022; Zbl 1498.60128) Full Text: DOI arXiv
Wang, Tiandong; Resnick, Sidney I. Asymptotic dependence of in- and out-degrees in a preferential attachment model with reciprocity. (English) Zbl 1493.05280 Extremes 25, No. 3, 417-450 (2022). MSC: 05C82 60F15 60G70 62G32 PDFBibTeX XMLCite \textit{T. Wang} and \textit{S. I. Resnick}, Extremes 25, No. 3, 417--450 (2022; Zbl 1493.05280) Full Text: DOI arXiv
Fox, Jacob; Kwan, Matthew; Sauermann, Lisa Combinatorial anti-concentration inequalities, with applications. (English) Zbl 1472.05147 Math. Proc. Camb. Philos. Soc. 171, No. 2, 227-248 (2021). MSC: 05D40 60C05 05C80 PDFBibTeX XMLCite \textit{J. Fox} et al., Math. Proc. Camb. Philos. Soc. 171, No. 2, 227--248 (2021; Zbl 1472.05147) Full Text: DOI arXiv
Drees, Holger; Janßen, Anja; Resnick, Sidney I.; Wang, Tiandong On a minimum distance procedure for threshold selection in tail analysis. (English) Zbl 1484.62057 SIAM J. Math. Data Sci. 2, No. 1, 75-102 (2020). MSC: 62G32 60G70 62E20 60G15 62G30 05C80 PDFBibTeX XMLCite \textit{H. Drees} et al., SIAM J. Math. Data Sci. 2, No. 1, 75--102 (2020; Zbl 1484.62057) Full Text: DOI arXiv
van der Hofstad, Remco; van der Hoorn, Pim; Litvak, Nelly; Stegehuis, Clara Limit theorems for assortativity and clustering in null models for scale-free networks. (English) Zbl 1469.05153 Adv. Appl. Probab. 52, No. 4, 1035-1084 (2020). MSC: 05C80 05C82 60F05 PDFBibTeX XMLCite \textit{R. van der Hofstad} et al., Adv. Appl. Probab. 52, No. 4, 1035--1084 (2020; Zbl 1469.05153) Full Text: DOI arXiv Link
Kwan, Matthew; Sauermann, lisa An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs. (English) Zbl 1480.05089 Discrete Anal. 2020, Paper No. 12, 34 p. (2020). Reviewer: Viktor Ohanyan (Erevan) MSC: 05C55 05D10 05D40 60C05 60E15 PDFBibTeX XMLCite \textit{M. Kwan} and \textit{l. Sauermann}, Discrete Anal. 2020, Paper No. 12, 34 p. (2020; Zbl 1480.05089) Full Text: DOI arXiv
Zhang, Panpan; Mahmoud, Hosam M. On nodes of small degrees and degree profile in preferential dynamic attachment circuits. (English) Zbl 1460.60011 Methodol. Comput. Appl. Probab. 22, No. 2, 625-645 (2020). MSC: 60C05 05C80 05C82 60F05 60G42 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{H. M. Mahmoud}, Methodol. Comput. Appl. Probab. 22, No. 2, 625--645 (2020; Zbl 1460.60011) Full Text: DOI arXiv
Desmarais, Colin; Holmgren, Cecilia Normal limit laws for vertex degrees in randomly grown hooking networks and bipolar networks. (English) Zbl 1446.60009 Electron. J. Comb. 27, No. 2, Research Paper P2.45, 27 p. (2020). MSC: 60C05 05C80 05C07 60F05 05C05 PDFBibTeX XMLCite \textit{C. Desmarais} and \textit{C. Holmgren}, Electron. J. Comb. 27, No. 2, Research Paper P2.45, 27 p. (2020; Zbl 1446.60009) Full Text: DOI arXiv
Britton, Tom Directed preferential attachment models: limiting degree distributions and their tails. (English) Zbl 1434.60312 J. Appl. Probab. 57, No. 1, 122-136 (2020). MSC: 60K40 05C80 PDFBibTeX XMLCite \textit{T. Britton}, J. Appl. Probab. 57, No. 1, 122--136 (2020; Zbl 1434.60312) Full Text: DOI
Lee, Jiung; Olvera-Cravioto, Mariana PageRank on inhomogeneous random digraphs. (English) Zbl 1437.05214 Stochastic Processes Appl. 130, No. 4, 2312-2348 (2020). MSC: 05C80 60J80 68P20 68R10 41A60 37A30 60B10 PDFBibTeX XMLCite \textit{J. Lee} and \textit{M. Olvera-Cravioto}, Stochastic Processes Appl. 130, No. 4, 2312--2348 (2020; Zbl 1437.05214) Full Text: DOI arXiv
Chan, N. H.; Cheung, Simon K. C.; Wong, Samuel P. S. Inference for the degree distributions of preferential attachment networks with zero-degree nodes. (English) Zbl 1456.62278 J. Econom. 216, No. 1, 220-234 (2020). MSC: 62P20 05C80 62-08 65F45 PDFBibTeX XMLCite \textit{N. H. Chan} et al., J. Econom. 216, No. 1, 220--234 (2020; Zbl 1456.62278) Full Text: DOI
Kovchegov, Yevgeniy; Zaliapin, Ilya Random self-similar trees: a mathematical theory of Horton laws. (English) Zbl 1434.05037 Probab. Surv. 17, 1-213 (2020). MSC: 05C05 05C80 60J80 60J65 76E99 PDFBibTeX XMLCite \textit{Y. Kovchegov} and \textit{I. Zaliapin}, Probab. Surv. 17, 1--213 (2020; Zbl 1434.05037) Full Text: DOI arXiv Euclid
Wan, Phyllis; Wang, Tiandong; Davis, Richard A.; Resnick, Sidney I. Are extreme value estimation methods useful for network data? (English) Zbl 1460.62085 Extremes 23, No. 1, 171-195 (2020). Reviewer: Jonas Šiaulys (Vilnius) MSC: 62H12 60G70 05C80 62F35 62E20 91D30 PDFBibTeX XMLCite \textit{P. Wan} et al., Extremes 23, No. 1, 171--195 (2020; Zbl 1460.62085) Full Text: DOI arXiv
Kovchegov, Yevgeniy; Zaliapin, Ilya Random self-similar trees and a hierarchical branching process. (English) Zbl 1455.60114 Stochastic Processes Appl. 129, No. 7, 2528-2560 (2019). MSC: 60J80 05C05 PDFBibTeX XMLCite \textit{Y. Kovchegov} and \textit{I. Zaliapin}, Stochastic Processes Appl. 129, No. 7, 2528--2560 (2019; Zbl 1455.60114) Full Text: DOI arXiv
Wang, Tiandong; Resnick, Sidney I. Consistency of Hill estimators in a linear preferential attachment model. (English) Zbl 1432.60056 Extremes 22, No. 1, 1-28 (2019). MSC: 60G70 05C80 60B10 60G55 60G57 PDFBibTeX XMLCite \textit{T. Wang} and \textit{S. I. Resnick}, Extremes 22, No. 1, 1--28 (2019; Zbl 1432.60056) Full Text: DOI arXiv
Wang, Tiandong; Resnick, Sidney I. Multivariate regular variation of discrete mass functions with applications to preferential attachment networks. (English) Zbl 1401.28006 Methodol. Comput. Appl. Probab. 20, No. 3, 1029-1042 (2018). MSC: 28A33 05C80 60G70 PDFBibTeX XMLCite \textit{T. Wang} and \textit{S. I. Resnick}, Methodol. Comput. Appl. Probab. 20, No. 3, 1029--1042 (2018; Zbl 1401.28006) Full Text: DOI arXiv
Cipriani, Alessandra; Hazra, Rajat Subhra; Ruszel, Wioletta M. The divisible sandpile with heavy-tailed variables. (English) Zbl 1405.60143 Stochastic Processes Appl. 128, No. 9, 3054-3081 (2018). MSC: 60K35 60E05 05C63 PDFBibTeX XMLCite \textit{A. Cipriani} et al., Stochastic Processes Appl. 128, No. 9, 3054--3081 (2018; Zbl 1405.60143) Full Text: DOI arXiv Link
Bhamidi, Shankar; Jin, Jimmy; Nobel, Andrew Change point detection in network models: preferential attachment and long range dependence. (English) Zbl 1391.60015 Ann. Appl. Probab. 28, No. 1, 35-78 (2018). MSC: 60C05 05C80 60J80 PDFBibTeX XMLCite \textit{S. Bhamidi} et al., Ann. Appl. Probab. 28, No. 1, 35--78 (2018; Zbl 1391.60015) Full Text: DOI arXiv
Wang, Tiandong; Resnick, Sidney I. Asymptotic normality of in- and out-degree counts in a preferential attachment model. (English) Zbl 1367.05091 Stoch. Models 33, No. 2, 229-255 (2017). MSC: 05C20 60G70 28A33 05C90 60G51 91D30 PDFBibTeX XMLCite \textit{T. Wang} and \textit{S. I. Resnick}, Stoch. Models 33, No. 2, 229--255 (2017; Zbl 1367.05091) Full Text: DOI arXiv
Reitzner, Matthias; Schulte, Matthias; Thäle, Christoph Limit theory for the Gilbert graph. (English) Zbl 1373.60026 Adv. Appl. Math. 88, 26-61 (2017). MSC: 60D05 05C80 60F05 60F10 60G55 PDFBibTeX XMLCite \textit{M. Reitzner} et al., Adv. Appl. Math. 88, 26--61 (2017; Zbl 1373.60026) Full Text: DOI arXiv Link
Ben Arous, Gérard; Fribergh, Alexander Biased random walks on random graphs. (English) Zbl 1388.60170 Sidoravicius, V. (ed.) et al., Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2248-6/hbk; 978-1-4704-2883-9/ebook). Proceedings of Symposia in Pure Mathematics 91, 99-153 (2016). MSC: 60K37 05C80 05C81 60J80 PDFBibTeX XMLCite \textit{G. Ben Arous} and \textit{A. Fribergh}, Proc. Symp. Pure Math. 91, 99--153 (2016; Zbl 1388.60170) Full Text: arXiv
Samorodnitsky, Gennady; Resnick, Sidney; Towsley, Don; Davis, Richard; Willis, Amy; Wan, Phyllis Nonstandard regular variation of in-degree and out-degree in the preferential attachment model. (English) Zbl 1343.60138 J. Appl. Probab. 53, No. 1, 146-161 (2016). MSC: 60K35 05C80 60G70 PDFBibTeX XMLCite \textit{G. Samorodnitsky} et al., J. Appl. Probab. 53, No. 1, 146--161 (2016; Zbl 1343.60138) Full Text: DOI arXiv Euclid
Resnick, Sidney; Samorodnitsky, Gennady Tauberian theory for multivariate regularly varying distributions with application to preferential attachment networks. (English) Zbl 1345.60118 Extremes 18, No. 3, 349-367 (2015). MSC: 60K35 60E05 60E10 05C80 60G70 PDFBibTeX XMLCite \textit{S. Resnick} and \textit{G. Samorodnitsky}, Extremes 18, No. 3, 349--367 (2015; Zbl 1345.60118) Full Text: DOI arXiv
Ghiglino, Christian Random walk to innovation: why productivity follows a power law. (English) Zbl 1258.91150 J. Econ. Theory 147, No. 2, 713-737 (2012). MSC: 91B62 05C82 PDFBibTeX XMLCite \textit{C. Ghiglino}, J. Econ. Theory 147, No. 2, 713--737 (2012; Zbl 1258.91150) Full Text: DOI Link
Unterberger, Jérémie A rough path over multidimensional fractional Brownian motion with arbitrary Hurst index by Fourier normal ordering. (English) Zbl 1221.05062 Stochastic Processes Appl. 120, No. 8, 1444-1472 (2010). MSC: 05C05 16T05 60F05 60G15 60G18 60H05 PDFBibTeX XMLCite \textit{J. Unterberger}, Stochastic Processes Appl. 120, No. 8, 1444--1472 (2010; Zbl 1221.05062) Full Text: DOI arXiv