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I am interested in stochastic processes on graphs, and in random graphs. Particular fields and applications of my research include:
- Network centrality (quantify the relevance of a node in a network), in particular PageRank in undirected vs. directed networks;
- Existence, uniqueness and extremality of infinite-volume equilibrium states (Gibbs measures) in statistical mechanics, in particular in low-temperature regimes;
- Loss, recovery and preservation of regularity properties of stochastic processes under transformations, in particular renormalization group pathologies.
Education/Academic qualification
Mathematics, Doctor, Thesis: Gibbs measures and gradient Gibbs measures on regular trees, Ruhr-Universität Bochum
1 Sept 2017 → 31 Aug 2021
Award Date: 13 Aug 2021
External positions
Postdoc, Ruhr-Universität Bochum
1 Sept 2021 → 31 Aug 2023
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Collaborations and top research areas from the last five years
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PageRank Under Interpolation Between Undirected- and Directed Networks: A Case Study
Henning, F. (Corresponding author), van der Hofstad, R. & Litvak, N., 22 May 2025, Modelling and Mining Networks: 20th International Workshop, WAW 2025, Vilnius, Lithuania, June 30 – July 3, 2025, Proceedings. Bloznelis, M., Drungilas, P., Vaicekauskas, R., Kamiński, B., Prałat, P., Šileikis, M. & Théberge, F. (eds.). Springer, p. 96-108 13 p. (Lecture Notes in Computer Science; vol. 15699).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
5 Downloads (Pure) -
Power-law hypothesis for PageRank on undirected graphs
Henning, F., van der Hofstad, R. & Litvak, N., 2025, In: Electronic Journal of Probability. 30, 27 p., 153.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile30 Downloads (Pure) -
Height-offset variables and pinning at infinity for gradient Gibbs measures on trees
Henning, F. & Kuelske, C., 20 Nov 2024, (Submitted).Research output: Working paper › Preprint › Academic
File32 Downloads (Pure) -
Infinite-Volume States with Irreducible Localization Sets for Gradient Models on Trees
Abbondandolo, A., Henning, F., Külske, C. (Corresponding author) & Majer, P., Jun 2024, In: Journal of Statistical Physics. 191, 6, 35 p., 63.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile3 Link opens in a new tab Citations (Scopus)50 Downloads (Pure) -
Existence of gradient Gibbs measures on regular trees which are not translation invariant
Henning, F. (Corresponding author) & Külske, C. (Corresponding author), Aug 2023, In: Annals of Applied Probability. 33, 4, p. 3010-3038 29 p.Research output: Contribution to journal › Article › Academic › peer-review
6 Link opens in a new tab Citations (Scopus)
Courses
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Probability and Statistics for CS
Müller, N., Litvak, N. V., Gregoris, L., Henning, F. & Liang, Q. 1/09/23 → 31/08/27
Course
Press/Media
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New Applied Probability Findings from Ruhr-University Bochum Reported (Existence of Gradient Gibbs Measures On Regular Trees Which Are Not Translation Invariant)
28/08/23
1 item of Media coverage
Press/Media: Expert Comment