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Preprints:

• Error bounds in local limit theorems using Stein's method (with A. D. Barbour and A. Röllin).
  [arXiv Preprint]
   
• Shotgun assembly of labeled graphs (with E. Mossel).
  [arXiv Preprint]

Accepted:

• Pólya urns with immigration at random times (with E. Peköz and A. Röllin).
  To appear in Bernoulli.
  [arXiv Preprint]
   
• Scaling limits for some random trees constructed inhomogeneously (with Y. Wen).
  To appear in Electron. J. Probab.
  [arXiv Preprint]
   
• Dirichlet approximation of equilibrium distributions in Cannings models with mutation (with H. L. Gan and A. Röllin).
  To appear in Adv. Appl. Probab.
  [arXiv Preprint]
   
• When do wireless network signals appear Poisson? (with H. P. Keeler and A. Xia).
  To appear in Bernoulli.
  [arXiv Preprint]

Published:

• Joint degree distributions of preferential attachment random graphs (with E. Peköz and A. Röllin).
  Adv. Appl. Probab. 49 (2), 368-387 (2017).
  [Published Version] [arXiv Preprint]
   
• Wireless network signals with moderately correlated shadowing still appear Poisson (with D. Schuhmacher).
  IEEE Trans. Inf. Theory 63 (2), 1177-1198 (2017).
  [Published Version] [arXiv Preprint]
   
• Stronger wireless signals appear more Poisson.
  H. P. Keeler, N. Ross, A. Xia, B. Błaszczyszyn
  IEEE Wireless Commun. Lett. 5 (6), 572-575 (2016).
  [Published Version] [arXiv Preprint]
   
• Generalized gamma approximation with rates for urns, walks and trees (with E. Peköz and A. Röllin).
  Ann. Probab. 44 (3), 1776-1816 (2016).
  [Published Version] [arXiv Preprint]
   
• Analytical results for the distribution of shortest path lengths in random networks.
  E. Katzav, M. Nitzan, D. ben-Avraham, P. Krapivsky, R. Kühn, N. Ross, O. Biham.
  Europhysics Lett. 111 (2), 26006 (2015).
  [Published Version] [arXiv Preprint]
   
• Local limit theorems via Landau-Kolmogorov inequalities (with A. Röllin).
  Bernoulli 21, 851-880 (2015).
  [Published Version] [arXiv Preprint]
   
• Can one hear the shape of a population history? (with J. Kim, E. Mossel and M. Rácz).
  Theor. Popul. Biol. 100, 26-38 (2015).
  [Published Version] [arXiv Preprint]
   
• Entropy of some models of sparse random graphs with vertex-names (with D.Aldous).
  Probab. Engrg. Inform. Sci. 28 (2), 145-168 (2014).
  [Published Version] [arXiv Preprint]
   
• Power laws in preferential attachment graphs and Stein's method for the negative binomial distribution.
  Adv. Appl. Probab. 45 (3), 876-893 (2013).
  [Published Version] [arXiv Preprint]
   
• Exponential approximation and Stein's method of exchangeable pairs (with J. Fulman).
  ALEA Lat. Am. J. Probab. Math. Stat. 10, 1-13 (2013).
  [Published Version] [arXiv Preprint]
   
• Degree asymptotics with rates for preferential attachment random graphs (with E. Peköz and A. Röllin).
  Ann. Appl. Probab. 23 (3), 1188-1218 (2013).
  [Published Version] [arXiv Preprint]
   
• Total variation error bounds for geometric approximation (with E. Peköz and A. Röllin).
  Bernoulli 19 (2), 610-632 (2013).
  [Published Version] [arXiv Preprint]
   
• Archimedes, Gauss, and Stein (with J. Pitman).
  Notices Amer. Math. Soc. 59 (10), 1416-1421 (2012).
  [Published Version] [arXiv Preprint]
   
• Fundamentals of Stein's method. Survey article spun off the lecture notes of Berkeley graduate course Stat 206B.
  Probab. Surveys. 8, 210-293 (2011).
  [Published Version] [arXiv Preprint]
   
• The greatest convex minorant of Brownian motion, meander, and bridge (with J. Pitman).
  Probab. Theory Related Fields. 153 (3-4), 771-807 (2012).
  [Published Version] [arXiv Preprint]
   
• Convex minorants of random walks and Lévy processes (with J. Abramson, J. Pitman and G. Uribe Bravo).
  Electron. Comm. Probab. 16, 423-434 (2011).
  [Published Version] [arXiv Preprint]
   
• Step size in Stein's method of exchangeable pairs.
  Combin. Probab. Comput. 18 (6), 979-1017 (2009).
  [Published Version] [arXiv Preprint]
   

Public Research Profiles:

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• UofM Find an Expert
• UofM Department Profile

Events:

• 3rd Melbourne-Singapore Probability and Statistics Forum (Sept 2017)
• 1st Melbourne-Singapore Probability and Statistics Forum (Feb 2015)
• 8th Australia and New Zealand Mathematics Convention (Dec 2014)
• Berkeley Probability Seminar (Jan-April 2011)
• Berkeley Probability Seminar (Jan-April 2010)

Coauthor webpages:

• David Aldous
• A. D. Barbour
• Daniel ben-Avraham
• Ofer Biham
• Bartlomiej Błaszczyszyn
• Jason Fulman
• Han Liang Gan
• H. Paul Keeler
• Junhyong Kim
• Reimer Kühn
• Elchanan Mossel
• Erol Peköz
• Jim Pitman
• Miklós Rácz
• Adrian Röllin
• Dominic Schuhmacher
• Geronimo Uribe Bravo
• Yuting Wen
• Aihua Xia