Wissenschaftliche Artikel

Spiegelhofer, L., & Wallner, M. (2023). The binary digits of n+t. Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze, XXIV(1), 1–31. https://doi.org/10.2422/2036-2145.202105_069 ( reposiTUm)
Wallner, M. (2022). On the critical exponents of generalized ballot sequences in three dimensions and large tandem walks. Aequationes Mathematicae, 96(4), 815–826. https://doi.org/10.1007/s00010-022-00876-4 ( reposiTUm)
Price, A. E., Fang, W., & Wallner, M. (2021). Compacted binary trees admit a stretched exponential. Journal of Combinatorial Theory, Series A, 177(105306), 105306. https://doi.org/10.1016/j.jcta.2020.105306 ( reposiTUm)
Wallner, M. (2020). A half-normal distribution scheme for generating function. European Journal of Combinatorics, 87(103138), 103138. https://doi.org/10.1016/j.ejc.2020.103138 ( reposiTUm)
Chauve, C., Ponty, Y., & Wallner, M. (2020). Counting and sampling gene family evolutionary histories in the duplication-loss and duplication-loss-transfer models. Journal of Mathematical Biology, 80(5), 1353–1388. https://doi.org/10.1007/s00285-019-01465-x ( reposiTUm)
Banderier, C., Marchal, P., & Wallner, M. (2020). Periodic Pólya urns, the density method and asymptotics of Young tableaux. Annals of Probability, 48(4). https://doi.org/10.1214/19-aop1411 ( reposiTUm)
Genitrini, A., Gittenberger, B., Genitrini, A., Kauers, M., & Wallner, M. (2020). Asymptotic enumeration of compacted binary trees of bounded right height. Journal of Combinatorial Theory, Series A, 172, Article 105177. https://doi.org/10.1016/j.jcta.2019.105177 ( reposiTUm)
Spiegelhofer, L., & Wallner, M. (2019). The Tu-Deng conjecture holds almost surely. Electronic Journal of Combinatorics, 26(1). https://doi.org/10.37236/7178 ( reposiTUm)
Wallner, M. (2019). A bijection of plane increasing trees with relaxed binary trees of right height at most one. Theoretical Computer Science, 755, 1–12. https://doi.org/10.1016/j.tcs.2018.06.053 ( reposiTUm)
Gittenberger, B., Jin, E. Y., & Wallner, M. (2018). On the Shape of Random P’olya Structures. Discrete Mathematics, 341(4), 896–911. https://doi.org/10.1016/j.disc.2017.12.016 ( reposiTUm)
Spiegelhofer, L., & Wallner, M. (2018). Divisibility of binomial coefficients by powers of two. Journal of Number Theory, 192, 221–239. https://doi.org/10.1016/j.jnt.2018.04.010 ( reposiTUm)
Wallner, M., & Banderier, C. (2017). Lattice paths with catastrophes. Discrete Mathematics & Theoretical Computer Science, 19(1). https://doi.org/10.23638/DMTCS-19-1-23 ( reposiTUm)
Spiegelhofer, L., & Wallner, M. (2017). An Explicit Generating Function Arising in Counting Binomial Coefficients Divisible by Powers of Primes. Acta Arithmetica, 181(1), 27–55. https://doi.org/10.4064/aa8524-6-2017 ( reposiTUm)

Beiträge in Tagungsbänden

Wallner, M. (2023). Dyck paths and inversion tables. In Permutation Patterns 2023 : Booklet (pp. 142–144). ( reposiTUm)
Chang, Y.-S., Fuchs, M., Liu, H., Wallner, M., & Yu, G.-R. (2022). Enumeration of d-Combining Tree-Child Networks. In 33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022). 33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022), Philadelphia, United States of America (the). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.AofA.2022.5 ( reposiTUm)
Wallner, M., & Banderier, C. (2021). Young tableaux with periodic walls: counting with the density method. In Proceedings of the 33rd Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2021) (p. 12). Séminaire Lotharingien de Combinatoire. http://hdl.handle.net/20.500.12708/41795 ( reposiTUm)
Wallner, M., Price, A. E., & Fang, W. (2020). Asymptotics of Minimal Deterministic Finite Automata Recognizing a Finite Binary Language. In M. Drmota & C. Heuberger (Eds.), 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020) (pp. 1–13). Leibniz International Proceedings in Informatics (LIPIcs). https://doi.org/10.4230/LIPIcs.AofA.2020.11 ( reposiTUm)
Wallner, M., & Bousquet-Melou, M. (2020). More Models of Walks Avoiding a Quadrant. In M. Drmota & C. Heuberger (Eds.), 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020) (pp. 1–14). Leibniz International Proceedings in Informatics (LIPIcs). https://doi.org/10.4230/LIPIcs.AofA.2020.8 ( reposiTUm)
Wallner, M., Banderier, C., & Lackner, M.-L. (2020). Latticepathology and Symmetric Functions. In M. Drmota & C. Heuberger (Eds.), 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020) (pp. 1–16). Leibniz International Proceedings in Informatics (LIPIcs). https://doi.org/10.4230/LIPIcs.AofA.2020.2 ( reposiTUm)
Panafieu, É. de, Lamali, M. L., & Wallner, M. (2019). Combinatorics of nondeterministic walks of the Dyck and Motzkin type. In 2019 Proceedings of the Sixteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO) (pp. 1–12). Proceedings of ANALCO 2019. https://doi.org/10.1137/1.9781611975505.1 ( reposiTUm)
Banderier, C., Marchal, P., & Wallner, M. (2018). Periodic Pólya Urns and an Application to Young Tableaux. In J. A. Fill & M. D. Ward (Eds.), 29th International Conference on Probabilistic,  Combinatorial and Asymptotic Methods for the Analysis of Algorithms  (AofA 2018) (pp. 11:1-11:13). STACS 2016 - Leibniz International Proceedings in Informatics (LIPIcs). https://doi.org/10.4230/LIPIcs.AofA.2018.11 ( reposiTUm)
Gittenberger, B., Wallner, M., & Jin, Y. (2017). A note on the scaling limits of random Pólya trees. In 2017 Proceedings of the Fourteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO). SIAM Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9781611974775.8 ( reposiTUm)
Wallner, M. (2016). A half-normal distribution scheme for generating functions and the unexpected behaviour of Motzkin paths. In Proceedings of the 27 International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (pp. 341–352). http://hdl.handle.net/20.500.12708/41448 ( reposiTUm)
Wallner, M., & Banderier, C. (2016). Lattice paths with catastrophes. In Proceedings GAScom 2016. GAScom 2016, La Marana, Korsika, EU. Electronic Notes in Discrete Mathematic. http://hdl.handle.net/20.500.12708/41483 ( reposiTUm)
Wallner, M., & Banderier, C. (2016). The reflection-absorption model for directed lattice paths. In H. Krebs (Ed.), Vienna Young Scientists Symposium (pp. 98–99). http://hdl.handle.net/20.500.12708/41482 ( reposiTUm)
Banderier, C., & Wallner, M. (2015). Lattice paths of slope 2/5. In M. D. Ward & R. Sedgewick (Eds.), 2015 Proceedings of the Twelfth Workshop on Analytic Algorithmics and Combinatorics (ANALCO). https://doi.org/10.1137/1.9781611973761.10 ( reposiTUm)
Wallner, M., & Banderier, C. (2014). Some reflections on directed Lattice Paths. In Proceedings of the 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (pp. 25–36). DMTCS Proceedings Series. http://hdl.handle.net/20.500.12708/41313 ( reposiTUm)

Präsentationen

Wallner, M. (2023, December 4). Stretched exponentials and beyond [Presentation]. Workshop: Computer Algebra for Functional Equations in Combinatorics and Physics 2023, Paris, France. ( reposiTUm)
Banderier, C., Kuba, M., & Wallner, M. (2023, June 26). Phase transitions of composition schemes: Mittag-Leffler and mixed Poisson distributions [Conference Presentation]. The 34th International Meeting on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms 2023, Taipei, Taiwan (Province of China). ( reposiTUm)
chauve, cedric, Ponty, Y., & Wallner, M. (2023, September 4). Counting and sampling gene families evolutionary histories [Presentation]. One-Day Workshop on Combinatorial and Stochastic Plylogenetics, Taipei, Taiwan (Province of China). ( reposiTUm)
Wallner, M. (2023, April 21). Lattice pathology and Symmetric Functions [Presentation]. Séminaire SPACE 2023, Paris, France. ( reposiTUm)
Wallner, M. (2023, September 7). Stretched exponentials in the asymptotics of phylogenetic networks [Presentation]. Mathematics of Evolution-Phylogenetic Trees and Networks Workshop 2023, Singapur, Singapore. ( reposiTUm)
Wallner, M. (2022, December 7). Young tableaux with periodic walls: counting with the density method [Conference Presentation]. SFB F50 Algorithmic and Enumerative Combinatorics veteran status seminar, Admont, Austria. ( reposiTUm)
Wallner, M. (2022, January 11). Young Tableaux with Periodic Walls: Counting with the Density Method [Presentation]. Arbeitsgemeinschaft Diskrete Mathematik, Austria. http://hdl.handle.net/20.500.12708/153206 ( reposiTUm)
Wallner, M. (2022, February 3). Phase transitions of composition schemes: Mittag-Leffler and mixed Poisson distributions [Presentation]. Probability, Statistics and Combinatorics Seminar, Sweden. http://hdl.handle.net/20.500.12708/153003 ( reposiTUm)
Wallner, M. (2022, May 20). Walks Avoiding a quadrant and the reflection principle [Presentation]. Groupe de travail « Transcendance et Combinatoire », Paris, France. http://hdl.handle.net/20.500.12708/153388 ( reposiTUm)
Wallner, M. (2022, September 27). Limit laws for lattice paths with catastrophes [Presentation]. Guest Lecture (Alpen-Adria-Universität Klagenfurt), Klagenfurt am Wörthersee, Austria, Austria. http://hdl.handle.net/20.500.12708/152707 ( reposiTUm)
Wallner, M. (2022, July 5). Phase transitions of composition schemes: Mittag-Leffler and mixed Poisson distributions [Conference Presentation]. Algorithmic and Enumerative Combinatorics Conference, Wien, Austria. http://hdl.handle.net/20.500.12708/153004 ( reposiTUm)
Wallner, M. (2022, October 14). Walks avoiding a quadrant and the reflection principle [Presentation]. Joint MATHEXP-PolSys Seminar, Inria, Saclay, France. http://hdl.handle.net/20.500.12708/153475 ( reposiTUm)
Wallner, M. (2021). Periodic Pólya urns and asymptotics of Young tableaux. Arbeitsgemeinschaft Diskrete Mathematik, Wien, Austria, Austria. http://hdl.handle.net/20.500.12708/123360 ( reposiTUm)
Wallner, M., & Banderier, C. (2021). Young tableaux with periodic walls: counting with the density method. Séminaire Combinatoire et interactions, Bordeaux, France, EU. http://hdl.handle.net/20.500.12708/123355 ( reposiTUm)
Wallner, M. (2021). Compacted binary trees and minimal automata admit stretched exponentials. DMV-ÖMG Jahrestagung, Passau, EU. http://hdl.handle.net/20.500.12708/123356 ( reposiTUm)
Wallner, M. (2021). More Models of Walks Avoiding a Quadrant. SFB F50 Meeting 2021 (Spezialforschungsbereich, initiiert vom FWF findet mehrmals jährlich statt), Johannes Kepler Universität Linz, Austria. http://hdl.handle.net/20.500.12708/123357 ( reposiTUm)
Wallner, M. (2021). Stretched exponentials and beyond. 32nd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2021), Klagenfurt, online, Austria. http://hdl.handle.net/20.500.12708/123358 ( reposiTUm)
Wallner, M. (2021). Compacted binary trees and minimal automata admit stretched exponentials. Arbeitsgemeinschaft Diskrete Mathematik, Wien, Austria, Austria. http://hdl.handle.net/20.500.12708/123361 ( reposiTUm)
Wallner, M. (2021). Compacted binary trees and minimal automata admit stretched exponentials. CanaDAM 2021, Canada. http://hdl.handle.net/20.500.12708/123338 ( reposiTUm)
Wallner, M. (2021). More Models of Walks Avoiding a Quadrant. CanaDAM 2021, Canada. http://hdl.handle.net/20.500.12708/123339 ( reposiTUm)
Wallner, M., Banderier, C., & Marchal, P. (2020). Periodic Pólya urns and asymptotics of Young tableaux. Plateau Saclay Combinatorics, Paris, EU. http://hdl.handle.net/20.500.12708/123164 ( reposiTUm)
Wallner, M., & Price, A. E. (2020). Stretched exponentials for compacted binary trees and a class of minimal automata. Séminaire d´algorithmique, Paris, EU. http://hdl.handle.net/20.500.12708/123165 ( reposiTUm)
Wallner, M. (2020). Compacted binary trees admit stretched exponentials. Computational Logic and Applications (CLA), Frankreich, EU. http://hdl.handle.net/20.500.12708/123163 ( reposiTUm)
Gittenberger, B., Genitrini, A., & Wallner, M. (2019). Asymptotic enumeration of compacted trees with bounded right height. Seminarvortrag, Regensburg, Germany. http://hdl.handle.net/20.500.12708/122973 ( reposiTUm)
Wallner, M. (2018). Das 1x1 des evolutionären Stammbaums. TUforMath, Wien, Austria. http://hdl.handle.net/20.500.12708/123340 ( reposiTUm)
Wallner, M., & Banderier, C. (2016). Lattice paths with catastrophes. 77th. Séminaire Lotharingien de Combinatoire, Strobl, EU. http://hdl.handle.net/20.500.12708/121654 ( reposiTUm)
Wallner, M., Gittenberger, B., Kauers, M., & Genitrini, A. (2016). Compacted binary trees. SFB F50 Algorithmic and Enumerative Combinatorics status seminar, Strobl, Austria. http://hdl.handle.net/20.500.12708/121655 ( reposiTUm)
Wallner, M. (2016). A half-normal distribution scheme for generating functions. Asymptotic Analysis of Algorithms & Combinatorial Structures (A3CS), Paris, EU. http://hdl.handle.net/20.500.12708/121653 ( reposiTUm)
Wallner, M. (2016). A half-normal distribution scheme for generating functions. Arbeitsgemeinschaft Diskrete Mathematik, Wien, Austria, Austria. http://hdl.handle.net/20.500.12708/121640 ( reposiTUm)
Wallner, M., Gittenberger, B., & Jin, E. Y. (2016). A note on the scaling limits of random Pólya trees. Arbeitsgemeinschaft Diskrete Mathematik, Wien, Austria, Austria. http://hdl.handle.net/20.500.12708/121641 ( reposiTUm)
Wallner, M. (2016). Lattice paths below a line of rational slope. MADACA - Random Walks and Dunkl Processes: Algebraic and Combinatorical Approaches, Domaine de Chalès, Frankreich, EU. http://hdl.handle.net/20.500.12708/121657 ( reposiTUm)
Wallner, M. (2015). The extension of a Rayleigh limiting distribution scheme. SFB workshop on Lattice Walks, Hagenberg, Austria. http://hdl.handle.net/20.500.12708/121251 ( reposiTUm)
Wallner, M. (2015). A half-normal limit distribution scheme and applications to lattice paths. 8th International Conference on Lattice Path Combinatorics & Applications, Pomona, USA, Non-EU. http://hdl.handle.net/20.500.12708/121252 ( reposiTUm)
Wallner, M. (2015). Why and when does the half-normal distribution appear in combinatorics? Séminaire de combinatoire, LIPN, Paris, Frankreich, EU. http://hdl.handle.net/20.500.12708/121253 ( reposiTUm)
Wallner, M. (2015). An Invitation to Analytic Combinatorics and Lattice Path Counting. ALEA in Europe Young Researchers’ Workshop, Bath, UK, EU. http://hdl.handle.net/20.500.12708/121255 ( reposiTUm)
Wallner, M. (2015). Counting compacted trees. SFB F50 Algorithmic and Enumerative Combinatorics status seminar, Strobl, Austria. http://hdl.handle.net/20.500.12708/121254 ( reposiTUm)
Wallner, M. (2014). Some reflections on directed Lattice Paths. Universite Francois Rabelais, Tours, France, EU. http://hdl.handle.net/20.500.12708/120887 ( reposiTUm)

Hochschulschriften

Wallner, M. (2016). Combinatorics of lattice paths and tree-like structures [Dissertation, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2016.38100 ( reposiTUm)
Wallner, M. (2013). Lattice path combinatorics [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2013.21211 ( reposiTUm)