Mr Peter Braunsteins

Mr Peter Braunsteins

Lecturer
Science
School of Mathematics & Statistics

I received my PhD from the University of Melbourne in 2018. Prior to joining UNSW as a lecturer in statistics, I held postdoctoral positions at the University of Amsterdam and KAUST.

In my research I try to gain a better understanding of the probabilistic and statistical properties of stochastic processes. My research has made contributions in the areas of branching processes, random graphs, and spatial extremes.

 

Location
School of Mathematics and Statistics Room 2056, Anita B. Lawrence Centre, UNSW Sydney Sydney NSW 2052
  • Journal articles | 2023
    Braunsteins P; Den Hollander F; Mandjes M, 2023, 'A SAMPLE-PATH LARGE DEVIATION PRINCIPLE FOR DYNAMIC ERDŐS–RÉNYI RANDOM GRAPHS', Annals of Applied Probability, 33, pp. 3278 - 3320, http://dx.doi.org/10.1214/22-AAP1892
    Journal articles | 2023
    Braunsteins P; Mandjes M, 2023, 'The Cramér-Lundberg model with a fluctuating number of clients', Insurance: Mathematics and Economics, 112, pp. 1 - 22, http://dx.doi.org/10.1016/j.insmatheco.2023.05.007
    Journal articles | 2022
    Bertacchi D; Braunsteins P; Hautphenne S; Zucca F, 2022, 'Extinction probabilities in branching processes with countably many types: a general framework', Alea (Rio de Janeiro), 19, pp. 311 - 338, http://dx.doi.org/10.30757/ALEA.V19-12
    Journal articles | 2021
    Barbour AD; Braunsteins P; Ross N, 2021, 'Local limit theorems for occupancy models', Random Structures and Algorithms, 58, pp. 3 - 33, http://dx.doi.org/10.1002/rsa.20967
    Journal articles | 2021
    Braunsteins P; Hautphenne S; Minuesa C, 2021, 'Parameter estimation in branching processes with almost sure extinction', Bernoulli, 28, pp. 33 - 63, http://dx.doi.org/10.3150/21-BEJ1332
    Journal articles | 2020
    Braunsteins P; Hautphenne S, 2020, 'The probabilities of extinction in a branching random walk on a strip', Journal of Applied Probability, 57, pp. 811 - 831, http://dx.doi.org/10.1017/jpr.2020.35
    Journal articles | 2019
    Braunsteins P; Decrouez G; Hautphenne S, 2019, 'A pathwise approach to the extinction of branching processes with countably many types', Stochastic Processes and their Applications, 129, pp. 713 - 739, http://dx.doi.org/10.1016/j.spa.2018.03.013
    Journal articles | 2019
    Braunsteins P; Hautphenne S, 2019, 'Extinction in lower Hessenberg branching processes with countably many types', Annals of Applied Probability, 29, pp. 272 - 2818, http://dx.doi.org/10.1214/19-AAP1464
    Journal articles | 2016
    Braunsteins P; Hautphenne S; Taylor PG, 2016, 'The roles of coupling and the deviation matrix in determining the value of capacity in M/M/1/C queues', Queueing Systems, 83, pp. 157 - 179, http://dx.doi.org/10.1007/s11134-016-9480-3
  • Preprints | 2023
    Braunsteins P; Hautphenne S; Kerlidis J, 2023, Linking Population-Size-Dependent and Controlled Branching Processes, http://dx.doi.org/10.48550/arxiv.2308.01150
    Preprints | 2022
    Braunsteins P; Hautphenne S; Minuesa C, 2022, Consistent least squares estimation in population-size-dependent branching processes, http://dx.doi.org/10.48550/arxiv.2211.10898
    Preprints | 2022
    Braunsteins P; Hollander FD; Mandjes M, 2022, Graphon-valued processes with vertex-level fluctuations, http://dx.doi.org/10.48550/arxiv.2209.01544
    Preprints | 2021
    Braunsteins P; Mandjes M, 2021, The Cramér-Lundberg model with a fluctuating number of clients, http://dx.doi.org/10.48550/arxiv.2111.01204
    Preprints | 2020
    Bertacchi D; Braunsteins P; Hautphenne S; Zucca F, 2020, Extinction probabilities in branching processes with countably many types: a general framework, http://dx.doi.org/10.48550/arxiv.2011.10071
    Preprints | 2020
    Braunsteins P; Hautphenne S; Minuesa C, 2020, Parameter estimation in branching processes with almost sure extinction, http://dx.doi.org/10.48550/arxiv.2009.09695
    Preprints | 2020
    Braunsteins P; Hollander FD; Mandjes M, 2020, A sample-path large deviation principle for dynamic Erdős-Rényi random graphs, http://dx.doi.org/10.48550/arxiv.2009.12848
    Preprints | 2019
    Barbour AD; Braunsteins P; Ross N, 2019, Local limit theorems for occupancy models, http://dx.doi.org/10.48550/arxiv.1908.00251
    Preprints | 2018
    Braunsteins P; Hautphenne S, 2018, The probabilities of extinction in a branching random walk on a strip, http://dx.doi.org/10.48550/arxiv.1805.07634
    Preprints | 2017
    Braunsteins P; Hautphenne S, 2017, Extinction in lower Hessenberg branching processes with countably many types, http://dx.doi.org/10.48550/arxiv.1706.02919
    Preprints | 2016
    Braunsteins P; Decrouez G; Hautphenne S, 2016, A pathwise iterative approach to the extinction of branching processes with countably many types, http://dx.doi.org/10.48550/arxiv.1605.03069