Publications

C. Hirsch, D. Willhalm (2024). Large deviations of one-hidden-layer neural networks. Preprint.

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C. Hirsch, M. Otto, T. Owada, C. Thäle (2024). Large deviations for the volume of hyperbolic k-nearest neighbor balls. Ann. Inst. Henri Poincaré Probab. Stat..

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C. Hirsch, D. Willhalm (2024). Lower large deviations for geometric functionals in sparse, critical and dense regimes. ALEA Lat. Am. J. Probab. Math. Stat..

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C. Hirsch, D. Willhalm (2024). Upper large deviations for power-weighted edge lengths in spatial random networks. Adv. App. Probab.

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C. Hirsch, D. Valesin (2023). Face and cycle percolation. Preprint.

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N. Heerten, C. Hirsch, M. Otto (2023). Cumulant method for weighted random connection models. Preprint.

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C. Hirsch, B. Jahnel, S.K. Jhawar, P. Juhász (2023). Poisson approximation of fixed-degree nodes in weighted random connection models. Preprint.

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C. Hirsch, K. Nam (2023). Large deviations for the isoperimetric constant in 2D percolation. Preprint.

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C. Hirsch, P. Juhász (2023). On the topology of higher-order age-dependent random connection models. Preprint.

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M. B. Botnan, C. Hirsch (2023). On the consistency and asymptotic normality of multiparameter persistent Betti numbers. J. Appl. Comput. Topol..

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C. Hirsch, M. Otto, A. M. Svane (2023). Normal approximation for Gibbs processes via disagreement couplings. Preprint.

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C. Hirsch, B. Jahnel, E. Cali (2023). Connection intervals in multi-scale dynamic networks. Stoch. Models.

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C. Hirsch, M. Holmes, V. Kleptsyn (2023). Infinite WARM graphs III, strong reinforcement regime. Nonlinearity.

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C. Hirsch, M. Neumann, V. Schmidt (2023). Asymptotic properties of one-layer artificial neural networks with sparse connectivity. Stat. Probab. Lett..

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G. Bonnet, C. Hirsch, D. Rosen, D. Willhalm (2022). Limit theory of sparse random geometric graphs in high dimensions. Stochastic Process. Appl..

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C. Hirsch, T. Kang, T. Owada (2022). Large deviations for the volume of k-nearest neighbor balls. Electron. J. Probab..

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C. Hirsch, S. Jansen, P. Jung (2022). Large deviations in the quantum quasi-1D jellium. Probab. Math. Phys..

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N. Chenavier, C. Hirsch (2022). Extremal life times of persistent cycles. Extremes.

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A. Cipriani, C. Hirsch, M. Vittorietti (2022). Topology-based goodness-of-fit tests for sliced spatial data. Comput. Stat. Data. Anal..

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C. Hirsch, B. Jahnel, E. Cali (2022). Percolation and connection times in multi-scale dynamic networks. Stochastic Process. Appl..

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C. Hirsch, A. Bharti, T. Pedersen, R.P. Waagepetersen (2022). Bayesian inference for stochastic multipath radio channel models. IEEE Trans. Antennas Propag..

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M. Heydenreich, C. Hirsch (2022). Extremal linkage networks. Extremes.

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J. Krebs, C. Hirsch (2022). Functional central limit theorems for persistent Betti numbers on cylindrical networks. Scand. J. Stat..

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C. Hirsch, B. Jahnel, S. Muirhead (2022). Sharp phase transition for Cox percolation. Electron. Commun. Probab..

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C. Hirsch, J. Krebs, C. Redenbach (2022). Persistent homology based goodness-of-fit tests for spatial tessellations. *J. Nonparametr. Stat..

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C. Hirsch, T. Kang, T. Owada (2022). Large deviations for the volume of nearest neighbor balls. Preprint.

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C. Hirsch, T. Owada (2022). Large deviation principle for geometric and topological functionals and associated point processes. Ann. Appl. Probab..

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C. Hirsch, S. B. Moka, T. Taimre, D. P Kroese (2022). Rare Events in Random Geometric Graphs. Methodol. Comput. Appl..

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S. Gille, C. Hirsch (2022). On the splitting principle for cohomological invariants of reflection groups. Tranformation Groups.

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Y. Couzinié, C. Hirsch (2021). Weakly reinforced Pólya urns on countable networks. Electron. Commun. Probab..

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C. Hirsch, A. Bharti, T. Pedersen, R.P. Waagepetersen (2021). Maximum likelihood calibration of stochastic multipath radio channel models. IEEE Trans. Antennas Propag..

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S. A. Bethuelsen, C. Hirsch, C. Mönch (2021). Invariance principle for random walks on dynamically averaging random conductances. Electron. Commun. Probab..

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C. Hirsch, M. Holmes, V. Kleptsyn (2021). Absence of WARM percolation in the very strong reinforcement regime. Ann. Appl. Probab..

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C. Hirsch, M. Holmes, V. Kleptsyn (2021). WARM percolation on a regular tree in the strong reinforcement regime. Preprint.

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B. Błaszczyszyn, C. Hirsch (2021). Optimal stationary markings. Stochastic Process. Appl..

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C. Hirsch (2020). Statistical hypothesis testing through TDA. YouTube.

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C. A. N. Biscio, N. Chenavier, C. Hirsch, A. M. Svane (2020). Testing goodness of fit for point processes via topological data analysis. Electron. J. Stat..

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C. Hirsch, B. Jahnel, A. Tóbiás (2020). Lower large deviations for geometric functionals. Electron. Commun. Probab..

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C. Hirsch (2020). On the decomposability of mod 2 cohomological invariants of Weyl groups. Comment. Math. Helv..

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C. Hirsch, C. Mönch (2020). Distances and large deviations in the spatial preferential attachment model. Bernoulli.

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C. Hirsch, B. Jahnel, E. Cali (2019). Continuum percolation for Cox point processes. Stochastic Process. Appl..

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M. Heydenreich, C. Hirsch (2019). A Spatial Small-World Graph Arising from Activity-Based Reinforcement. Algorithms and Models for the Web Graph.

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A. Hinsen, C. Hirsch, B. Jahnel, E. Cali (2019). Typical Voronoi cells for Cox point processes on Manhattan grids. 2019 International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOPT).

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C. Ghribi, E. Cali, C. Hirsch, B. Jahnel (2019). Agent-based simulations for coverage extensions in 5G networks and beyond. 2022 Conference on Innovation in Clouds, Internet and Networks (ICIN).

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C. Hirsch, B. Jahnel (2019). Large deviations for the capacity in dynamic spatial relay networks. Markov Process. Related Fields.

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M. Neumann, C. Hirsch, J. Staněk, V. Beneš, V. Schmidt (2019). Estimation of geodesic tortuosity and constrictivity in stationary random closed sets. Scand. J. Stat..

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C. Hirsch, B. Jahnel, R. Patterson (2018). Space-time large deviations in capacity-constrained relay networks. ALEA Lat. Am. J. Probab. Math. Stat..

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C. Hirsch, B. Jahnel, Paul Keeler, Robert Patterson (2018). Large deviations in relay-augmented wireless networks. Queueing Systems.

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E. Cali, N. N. Gafur, C. Hirsch, B. Jahnel, T. En-Najjary, R. I. A. Patterson (2018). Percolation for D2D networks on street systems. 2018 16th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt).

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D. Coupier, C. Hirsch (2018). Coalescence of Euclidean geodesics on the Poisson--Delaunay triangulation. Bernoulli.

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M. Heydenreich, C. Hirsch, D. Valesin (2018). Uniformity of hitting times of the contact process. ALEA Lat. Am. J. Probab. Math. Stat..

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C. Hirsch, G. Last (2018). On maximal hard-core thinnings of stationary particle processes. J. Stat. Phys..

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C. Hirsch, B. Jahnel, P. Keeler, R. I. A. Patterson (2017). Traffic flow densities in large transport networks. Adv. Appl. Probab..

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C. Hirsch, T. Brereton, V. Schmidt (2017). Percolation and convergence properties of graphs related to minimal spanning forests. Electron. J. Probab..

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C. Hirsch (2017). From heavy-tailed Boolean models to scale-free Gilbert graphs. Braz. J. Probab. Stat..

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C. Hirsch (2016). On the absence of percolation in a line-segment based lilypond model. Ann. Inst. Henri Poincaré Probab. Stat..

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C. Hirsch, B. Jahnel, P. Keeler, R. I. A. Patterson (2016). Large deviation principles for connectable receivers in wireless networks. Adv. in Appl. Probab..

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D. Neuhäuser, C. Hirsch, C. Gloaguen, V. Schmidt (2016). A stochastic model for multi-hierarchical networks. Method. Comput. Appl..

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C. Hirsch (2016). Bounded-hop percolation and wireless communication. J. Appl. Probab..

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C. Hirsch, D. Neuhäuser, V. Schmidt (2016). Moderate deviations for shortest-path lengths on random segment processes. ESAIM Probab. Stat..

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C. Hirsch, D. Neuhäuser, C. Gloaguen, V. Schmidt (2015). Asymptotic properties of Euclidean shortest-path trees in random geometric graphs. Stat. Probab. Lett..

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C. Hirsch, G. Delaney, V. Schmidt (2015). Stationary Apollonian Packings. J. Stat. Phys..

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C. Hirsch, G. Gaiselmann, V. Schmidt (2015). Asymptotic properties of collective-rearrangement algorithms. ESAIM Probab. Stat..

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C. Hirsch (2015). A Harris-Kesten theorem for confetti percolation. Random Structures Algorithms.

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D. Neuhäuser, C. Hirsch, C. Gloaguen, V. Schmidt (2015). Joint distributions for total lengths of shortest-path trees in telecommunication networks. Ann. Telecommun..

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C. Hirsch, D. Neuhäuser, C. Gloaguen, V. Schmidt (2015). First passage percolation on random geometric graphs and an application to shortest-path trees. Adv. in Appl. Probab..

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D. Neuhäuser, C. Hirsch, C. Gloaguen, V. Schmidt (2015). Parametric Modeling of Sparse Random Trees Using 3D Copulas. Stochastic Models.

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D. Neuhäuser, C. Hirsch, C. Gloaguen, V. Schmidt (2014). Ratio limits and simulation algorithms for the Palm version of stationary iterated tessellations. J. Stat. Comput. Simul..

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R. Shah, C. Hirsch, Dirk P. Kroese, V. Schmidt (2014). Rare event probability estimation for connectivity of large random graphs. Proceedings of the Winter Simulation Conference 2014.

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T. Brereton, C. Hirsch, V. Schmidt, D.P. Kroese (2014). A critical exponent for shortest-path scaling in continuum percolation. J. Phys. A Math. Theor..

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O. Stenzel, C. Hirsch, T. Brereton, B. Baumeier, D. Andrienko, D. Kroese, V. Schmidt (2014). A general framework for consistent estimation of charge transport properties via random walks in random environments. Multiscale Model. Simul..

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M. C. Christiansen, C. Hirsch, V. Schmidt (2014). Prediction of regionalized car insurance risks based on control variates. Stat. Risk Model..

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C. Hirsch, D Neuhäuser, V. Schmidt (2013). Connectivity of random geometric graphs related to minimal spanning forests. Adv. Appl. Probab..

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D. Neuhäuser, C. Hirsch, C. Gloaguen, V. Schmidt (2013). A parametric copula approach for modelling shortest-path trees in telecommunication networks. International Conference on Analytical and Stochastic Modeling Techniques and Applications.

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D. Neuhäuser, C. Hirsch, C. Gloaguen, V. Schmidt (2012). On the distribution of typical shortest-path lengths in connected random geometric graphs. Queueing Systems.

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