Research

New preprints

• Stability of local tip pool sizes, with Isabel Amigo, Alexandre Reiffers-Masson, Santiago Ruano-Rincón (2023), (arxiv)

Articles

• Reality-based UTXO Ledger. with Andreas Penzkofer, Nikita Polyanskii, Jonas Theis, William Sanders, Hans Moog (2023), Distributed Ledger Technologies: Research and Practice,  Vol. 2 Iss. 3 Article No. 23 pp 1-33  (DLT) (arxiv)

• On asymptotic fairness in voting with greedy sampling. with Abraham Gutierrez and Stjepan Šebek (2023)  Advances in Applied Probability Volume 55 , Issue 3 , September 2023 , pp. 999-1032 (AAP) (arxiv)

• Tangle 2.0 Leaderless Nakamoto Consensus on the Heaviest DAG. with Andreas Penzkofer, Nikita Polyanskii, Jonas Theis, William Sanders, Hans Moog (2022) in IEEE Access, vol. 10, pp. 105807-105842, 2022 (IEEE Access) (arxiv)

• Voting-based probabilistic consensuses and their applications in distributed ledgers. with Serguei Popov Annals of Telecommunications Vol. 77 Issue 1, 77-99 (2022) (AoT) (arxiv)

• Estimations of means and variances in a Markov linear model. with Abraham Gutierrez, Stochastics and Quality Control (2022) (EQC) (arxiv)

• Robustness and efficiency of leaderless probabilistic consensus protocols within Byzantine infrastructures. with Angelo Capossele and Andreas Penzkofer, Blockchain: Research and Applications. Vol. 2 Issue 1 (2021) (BRA) (arxiv)

• On transience of the frogs on Galton-Watson trees. with Gundelinde Maria Wiegel. Electronic Journal of Probability, Vol. 25, paper no. 152, 30 pp. (2020) (EJP) (arxiv)

• Quality analysis on acyclic production networks. with Abraham Gutierrez.   Stochastics and Quality Control, 34(2),  59-66 (2019) (EQC) (arxiv)

• Einstein relation for random walk in a one-dimensional percolation model. with Nina Gantert and Matthias Meiners. Journal of Statistical Physics, 176, 737-772 (2019) (JSP) (arxiv)

• Regularity of the speed of biased random walk in a one-dimensional percolation model. with Nina Gantert and Matthias Meiners. Journal of Statistical Physics, 170, no. 6, 1123-1160 (2018) (JSP) (arxiv)

• Limit theorems for random walks on Fuchsian buildings and Kac-Moody groups. with Lorenz Gilch and James Parkinson. Groups, Geometry, and Dynamics, 12, 1069-1121 (2018)  (arxiv)

• Infinite excursions of router walks on regular trees. with Tal Orenshtein. The Electronic Journal of Combinatorics, 24(2) (2017), #P2.18 (ECP)  (arxiv)

• Counting self-avoiding walks on free products of graphs. with Lorenz Gilch.  Discrete Mathematics, Vol. 340, Issue 3, 325-332 (2017) (DM) (arxiv)

• Asymptotic entropy of random walks on Fuchsian buildings and Kac-Moody groups. with Lorenz Gilch and James Parkinson. Mathematische Zeitschrift, Vol. 285, Issue 3, 707–738 (2017) (MZ) (arxiv)

• Renewal theory for random walks on surface groups. with Peter Haïssinsky and Pierre Mathieu.  Ergodic Theory and Dynamical Systems, 38, no. 1, 155-179, (2018) (EDTS) (arxiv)

• Ends of branching random walks on planar hyperbolic Cayley graphs. with Lorenz Gilch. "Groups, Graphs, and Random Walks", 205–214, London Math. Soc. Lecture Note Ser., 436, Cambridge Univ. Press, Cambridge  (2017)   (arxiv)

• Rotor-routing on Galton-Watson trees. with Wilfried Huss and Ecaterina Sava-Huss. Electronic Communications in Probability, Vol. 20, Art. 49, 1-12 (2015) (ECP) (arxiv)

• Interacting growth processes and invariant percolation. Annals of Applied Probability, Vol. 25, No.1, 268-286 (2015) (AAP) (arxiv)

• Cookie branching random walks. with Christian Bartsch, Michael Kochler, Thomas Kochler, and Serguei Popov. ALEA, Lat. Am. J. Probab. Math. Stat. 10 (2), 323--358 (2013) (ALEA) (arxiv)

• Random walks on Galton-Watson trees with random conductances. with Nina Gantert, Serguei Popov, and Marina Vachkovskaia. Stochastic Processes and their Applications, Vol. 122, Iss. 4, 1652-1671 (2012) (SPA), (arxiv)

• Branching random walks on free products of groups. with Elisabetta Candellero, Lorenz Gilch. Proceedings of London Mathematical Society, 104 (6), 1085--1120 (2012), (PLMS) (arxiv)

• On the trace of branching random walks. with Itai Benjamini. Groups, Geometry, and Dynamics, Vol.2, Iss. 2 (2012), 231--247 (GGD) (arxiv)

• Spider in random environment. with Christophe Gallesco, Serguei Popov, and Marina Vachkovskaia. ALEA, Lat. Am. J. Probab. Math. Stat. 8, 129--147 (2011) (ALEA) (arxiv)

• A note on spider walks. with Christophe Gallesco and Serguei Popov.  ESAIM: Probability and Statistics, 15 (2011), 390--401 (ESAIM-PS) (arxiv)

• Random walks on directed covers of graphs. with Lorenz Gilch. Journal of Theoretical Probability Vol. 24, Iss. 1 (2011), 118--149 (JTP) (arxiv)

• Survival of branching random walks in random environment. with Nina Gantert, Serguei Popov, and Marina Vachkovskaia. Journal of Theoretical Probability Vol. 23, Iss. 4 (2010), 1002--1014  (JTP) (arxiv)

• Recurrence for branching Markov chains. Electronic Communications in Probability 13 (2008), 576--605 (ECP)

• A criterion for transience for multidimensional BRWRE. Electronic Journal of Probability 13 (2008), 1189--1202 (EJP)

• Recurrence and Transience for Branching Random Walks in an iid Random Environment. Markov Processes and Related Fields 14 (2008), 115--130 (pdf)

• The critical Branching Markov Chain is transient. with Nina Gantert. Markov Processes and Related Fields 12 (2006), 805--814 (pdf)

Conference Papers

• Fairness Notions in DAG-based DLTS, with Mayank Raikwar and Nikitia Polyanskii, Accepted in 5th Conference on Blockchain Research & Applications for Innovative Networks and Services (BRAINS 2023) (arxiv)

• FPCS: Solving n-spends on a UTXO-based DLT. with Rafael Nitchai and Serguei Popov, In: Machado, J.M., et al. Blockchain and Applications, 5th International Congress. BLOCKCHAIN 2023. Lecture Notes in Networks and Systems, (BLOCKCHAIN) (2023)

• An attack resilient policy on the tip pool for DAG-based distributed ledgers. with L. Zhao, A. Cullen, O. Saa, R. Shorten, In: Machado, J.M., et al. Blockchain and Applications, 5th International Congress. BLOCKCHAIN 2023. Lecture Notes in Networks and Systems, (BLOCKCHAIN) (2023) (arxiv)

• Mitigation of liveness attacks in DAG-based ledgers. with Darcy Camargo, Andreas Penzkofer, William Sanders. Conference paper, IEEE ICBC 2023, (2023) (arxiv)

• TangleSim: An Agent-based, Modular Simulator for DAG-based Distributed Ledger Technologies. with Bing-Yang Lin, Daria Dziubałtowska, Piotr Macek, Andreas Penzkofer. Conference paper, IEEE ICBC 2023, (2023) (arxiv)

• Robustness of the Tangle 2.0 Consensus, with Bing-Yang Lin, Daria Dziubałtowska, Piotr Macek, Andreas Penzkofer. Conference paper, VALUETOOLS 2022: Performance Evaluation Methodologies and Tools (2022), (VALUETOOLS) (arxiv)

• Salt-based autopeering for DLT-networks. with Angelo Capossele, Bartosz Kuśmierz, Vivian Lin, Hans Moog, Andreas Penzkofer, Olivia Saa, William Sanders, Wolfgang Welz, Conference paper, 2021 3rd Conference on Blockchain Research & Applications for Innovative Networks and Services (BRAINS) (2021) (arxiv)

• Committee selection in DAG distributed ledgers and applications. with Bartosz Kusmierz and Angelo Capossele, Conference paper, Computing Conference 21 London (2021) (arxiv)

• On Fairness in Voting Consensus Protocols. with Andreas Penzkofer,  Darcy Camargo, and Olivia Saa, Conference paper, Computing Conference 21 London (2021) (arxiv)

• Fast Probabilistic Consensus with Weighted Votes. with Andreas Penzkofer,  Bartosz Kusmierz,  Darcy Camargo and William J. Buchanan,  Conference paper, FTC2020 Vancouver (2020) (arxiv)

Preprints & more

• Fairness Notions in DAG-based DLTs, with Mayank Raikwar, Nikita Polyanskii. preprint (2023) (arxiv)

• Beyond Chains: the potential and challenges in DAG-based DLTs, UZH Blockchain Lab Lecture Series, april 2023 (slides) (video)

• On Elo based prediction models for the FIFA Worldcup 2018.  with Lorenz Gilch. Technical report Universität Passau (pdf)

• Dynamical sensitivity of recurrence and transience of branching random walks. preprint (arxiv)

• Criteria for transience of branching Markov chains. Proceedings of 15th EYSM (2007) (pdf)

• Branching Markov chains: recurrence and transience. Ph.D. Thesis, Universtät Münster (2006) (pdf)