## Louigi Addario-Berry

**Publications **

*Almost all my recent papers are available from my arXiv author page. The exceptions are the papers numbered 1-17, 35, and 54, below. *

**78. **Louigi Addario-Berry, Marie Albenque, Serte Donderwinkel, Robin Khanfir, Refined Horton--Strahler numbers I: a discrete bijection.

**77. **Louigi Addario-Berry, Simon Briend, Luc Devroye, Céline Kerriou, Gábor Lugosi, Random friend trees.

**76. **Louigi Addario-Berry, Gábor Lugosi, Roberto Imbuzeiro Oliveira, The top eigenvalue of uniformly random trees.

**75. **Louigi Addario-Berry, Pat Morin, Ralph Neininger, Patricia's bad distribution. In *35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2024)*. Leibniz International Proceedings in Informatics (LIPIcs), Volume 302, pp. 25:1-25:8.

**74. **Louigi Addario-Berry, Serte Donderwinkel, Igor Kortchemski, Critical trees are neither too short nor too fat.

**73.** Louigi Addario-Berry, Gavin Barill, Erin Beckman, Jessica Lin, The central limit theorem via doubling of variables. Submitted.

**72.** Louigi Addario-Berry, Jordan Barrett, Multi-source invasion percolation on the complete graph. Annals of Probability, Volume 51 (2023), 2131-2157.

**71.** Louigi Addario-Berry, Jordan Barrett, Benoît Corsini, Finding minimum spanning trees via local improvements, submitted.

**70.** Louigi Addario-Berry, Erin Beckman, Jessica Lin, Symmetric cooperative motion in one dimension. Probability Theory and Related Fields, to appear.

**69.
**
Louigi Addario-Berry, Serte Donderwinkel, Random trees have height O(√n). Annals of Probability, to appear.

**68.
**
Louigi Addario-Berry, Arthur Blanc-Renaudie, Serte Donderwinkel, Mickaël Maazoun, James Martin, The Foata-Fuchs proof of Cayley's formula, and its probabilistic uses. Electronic Communications in Probability 2023, Vol. 28, paper no. 17, 1-13.

**67.** Louigi Addario-Berry, Anna Brandenberger, Jad Hamdan, Céline Kerriou, Universal height and width bounds for random trees. Electronic Journal of Probability, 27 (2022), no. 118, pages 1-24.

**66.** Louigi Addario-Berry, Erin Beckman, Jessica Lin, Asymmetric cooperative motion in one dimension. Transactions of the AMS, Volume 375 (2022), 2883-2913.

**65.** Louigi Addario-Berry, Jordan Barrett, Random tree-weighted graphs, Stochastic Analysis, Random Fields and Integrable Probability, Adv. Studies in Pure Math., MSJ 87 (2021): 1-59.

**64.** Louigi Addario-Berry, Benoît Corsini, The height of Mallows trees, Annals of Probability, Volume 49 (2021), 2220-2271.

**63.** Louigi Addario-Berry, Luc Devroye, Gábor Lugosi, Vasiliki Velona,
Broadcasting on random recursive trees, Annals of Applied Probability, Volume 32 (2022), 497-528.

**62.** Louigi Addario-Berry, Jessica Lin, Thomas Tendron, Barycentric Brownian bees, Annals of Applied Probability, Volume 32 (2022), 2504-2539.

**61.** Louigi Addario-Berry, Hannah Cairns, Luc Devroye, Celine Kerriou, Rivka Mitchell,
Hipster random walks, Probability Theory and Related Fields, Volume 178 (2020), 437-473.

**60.** Louigi Addario-Berry, Marie Albenque, Convergence of odd-angulations via symmetrization of labeled trees, Annales Henri Lebesgue, Volume 4 (2021), 653-683.

**59.** Louigi Addario-Berry, Bruce Reed, Alex Scott, David R. Wood, A logarithmic bound for the chromatic number of the associahedron, submitted.

**58.** Louigi Addario-Berry, Pascal Maillard, The algorithmic hardness threshold for continuous random energy models, Mathematical Statistics and Learning, Volume 2 (2019), 77-101.

**57.** Louigi Addario-Berry, Sanchayan Sen, Geometry of the minimal spanning tree of a random 3-regular graph, Probability Theory and Related Fields, Volume 180, Issue 3 (2021), 553-620.

**56.** Louigi Addario-Berry, Julien Berestycki, Sarah Penington, Branching Brownian motion with decay of mass and the non-local Fisher-KPP equation, Communications on Pure and Applied Mathematics, Volume LXXII (2019), 2487-2577.

**55.** Louigi Addario-Berry, Luc Devroye, Gábor Lugosi, Roberto Imbuzeiro Oliveira, Local optima of the Sherrington-Kirkpatrick Hamiltonian, Journal of Mathematical Physics, Volume 60 (2019), 043301.

**54.**
Louigi Addario-Berry, Omer Angel, Guillaume Chapuy, Éric Fusy, Christina Goldschmidt, Voronoi tessellations in the CRT and continuum random maps of finite excess, 2018 Symposium on Discrete Algorithms, New Orleans, January 7-10, 2018.

**53.** Louigi Addario-Berry, Most trees are short and fat, Probability Theory and Related Fields, Volume 173 (2019), 1-26.

**52.** Louigi Addario-Berry, Shankar Bhamidi, Sanchayan Sen, A probabilistic approach to the leader problem in random graphs, Random Structures and Algorithms, Volume 58 (2021), 34-67.

**51.** Louigi Addario-Berry, Matthew I. Roberts, Mixing time bounds via bottleneck sequences, Journal of Statistical Physics, Volume 173 (2018), 845-871.

**50.** Louigi Addario-Berry, Daphné Dieuleveut, Christina Goldschmidt, Inverting the cut-tree transform, Annales de l'Institut Henri Poincaré (B) Probability and Statistics, Volume 55 (2019), 1349-1376.

**49.** Louigi Addario-Berry, Laura Eslava, High degrees of random recursive trees. Random Structures and Algorithms, Volume 52 (2018), 560-575.

**48.** Louigi Addario-Berry, Roberto Imbuzeiro Oliveira, Yuval Peres, Perla Sousi, Random walks colliding before getting trapped. Electronic Journal of Probability, Volume 21 (2016), no. 42, 1-19.

**47.** Louigi Addario-Berry, Shankar Bhamidi, Sebastien Bubeck, Luc Devroye, Gábor Lugosi, Roberto Imbuzeiro Oliveira, Exceptional rotations of random graphs: a VC theory. Journal of Machine Learning Research. Volume 16 (2015), 1893-1922.

**46.** Louigi Addario-Berry, Borja Balle, Guillem Perarnau, Diameter and stationary distribution of random r-out digraphs. The Electronic Journal of Combinatorics. Volume 27 (2020), P3.28.

**45.** Louigi Addario-Berry, A probabilistic approach to block sizes in random maps. ALEA - Latin American Journal of Probability and Mathematical Statistics. Volume XVI (2019), 1-13.

**44.** Louigi Addario-Berry, Yuting Wen, Joint convergence of random quadrangulations and their cores, Annals of the Institut Henri Poincaré (B), Volume 53 (2017), 1890-1920.

**43.** Louigi Addario-Berry, Sarah Penington, The front location in BBM with decay of mass, Annals of Probability. Volume 45 (2017), 3752-3794.

**42.** Louigi Addario-Berry, Partition functions of discrete coalescents: from Cayley's formula to Frieze's ζ(3) limit theorem, in XI Symposium on Probability and Stochastic Processes. Progress in Probability Volume 68 (2015). Birkhauser, Basel.

**41.** Louigi Addario-Berry, Nicholas Leavitt, Random infinite squarings of rectangles, Annals of the Institut Henri Poincaré (B). Volume 52 (2016), 596-611.

**40.** Louigi Addario-Berry, Growing random 3-connected maps, or *Comment s'enfuir de l'Hexagone*, Electronic Communications in Probability. Volume 19 (2014), no. 54, 1-12.

**39.** Louigi Addario-Berry, Marie Albenque, The scaling limit of random simple triangulations and random simple quadrangulations, Annals of Probability. Volume 45 (2017), 2767-2825.

**38.** Louigi Addario-Berry, Laura Eslava, Hitting time theorems for random matrices, Combinatorics, Probability and Computing. Volume 23 (2014), 635-669.

**37.** Louigi Addario-Berry, The local weak limit of the minimum spanning tree of the complete graph, submitted.

**36.** Louigi Addario-Berry, Nicolas Broutin, Christina Goldschmidt, Grégory Miermont, The scaling limit of the minimum spanning tree of the complete graph, Annals of Probability, Volume 45 (2017), 3075-3144.

**35.** Louigi Addario-Berry, Frédéric Havet, Cláudia Linhares Sales, Bruce Reed, Stéphan Thomassé, Oriented trees in digraphs, Discrete Mathematics, Volume 313 (2013), 967-974.

**34.** Louigi Addario-Berry, Tao Lei, The mixing time of the Newman--Watts small world, Advances in Applied Probability, Vol 47 (2015), 37-56.

(An extended abstract of this paper appeared in the 2012 Proceedings of the ACM-SIAM Symposium on Discrete Algorithms (SODA).

**33.** Louigi Addario-Berry, Nicolas Broutin, Cecilia Holmgren, Cutting down trees with a Markov chainsaw, Annals of Applied Probability, Vol 24 (2014), 2297-2339.

**32.** Louigi Addario-Berry, Tail bounds for the height and width of a random tree with a given degree sequence, Random Structures and Algorithms, Vol 41 (2012), 253-261.

**31.** Louigi Addario-Berry, Simon Griffiths, The spectrum of random lifts, arxiv:1012.4097.

**30.** Louigi Addario-Berry, Kevin Ford, Poisson--Dirichlet branching random walks, Annals of Applied Probability, Vol 21 (2013), 283-307.

**29.** Louigi Addario-Berry, Luc Devroye, Svante Janson, Sub-Gaussian tail bounds for the width and height of conditioned Galton--Watson trees, Annals of Probability, Vol 41 (2013), 1072-1087.

**28.** Louigi Addario-Berry, Ross Kang, Simon Griffiths, Invasion percolation on the Poisson-weighted infinite tree, Annals of Applied Probability, Vol 22 (2012), 931-970.

**27.** Louigi Addario-Berry, Nicolas Broutin, Christina Goldschmidt, Critical random graphs: limiting constructions and distributional properties, Electronic Journal of Probability, Vol 15 (2010), 741-775.

**26.** Louigi Addario-Berry, Nicolas Broutin, Luc Devroye, Gábor Lugosi, On combinatorial testing problems, Annals of Statistics, Vol 38, Number 5 (2010), 3063-3092.

**25.** Louigi Addario-Berry, Nicolas Broutin, Total progeny in killed branching random walk, Probability Theory and Related Fields, Vol 151 (2011), 265-295.

**24.** Louigi Addario-Berry, Nicolas Broutin, Christina Goldschmidt, The continuum limit of critical random graphs, Probability Theory and Related Fields, Vol 152 (2012), 367-406.

**23.** Louigi Addario-Berry, Svante Janson, Colin McDiarmid, On the spread of supercritical random graphs, Combinatorics, Probability and Computing, Volume 23 (2014), 477-504.

**22.** Louigi Addario-Berry, Nicolas Broutin, Gábor Lugosi, The longest minimum-weight path in a complete graph. Combinatorics, Probability and Computing, Volume 19 (2010), 1-19.

**21.** Louigi Addario-Berry, Nicolas Broutin, Gábor Lugosi, Effective Resistance of Random Trees, Annals of Applied Probability, Volume 19, Issue 3 (2009), 1092-1107.

**20.** Louigi Addario-Berry, Bruce Reed, Minima in Branching Random Walks, Annals of Probability, Volume 37, Issue 3 (2009), 1044-1079.

**19.** Louigi Addario-Berry, Colin McDiarmid, Bruce Reed, Connectivity of bridge-addable monotone graph classes, Combinatorics, Probability and Computing, Volume 21 (2012), 803-815.

**18.** Louigi Addario-Berry, Bruce Reed, Ballot theorems for random walks with finite variance. Manuscript.

**17.** Louigi Addario-Berry, Ross Kang, Tobias Müller, Acyclic dominating partitions. Journal of Graph Theory, Volume 64 (2010), 292-311.

**16.** Louigi Addario-Berry, Christopher Dowden, Subgraphs of 4-Regular Planar Graphs, Algorithmica, Vol 61 (2010), 758-776.

**15.** Louigi Addario-Berry, Louis Esperet, Ross Kang, Colin McDiarmid, Alexandre Pinlou, Acyclic improper colourings of graphs with bounded maximum degree. Discrete Mathematics, Volume 310 (2010), 223-229.

**14.** Louigi Addario-Berry, William S. Kennedy, Andrew D. King, Zhentao Li, Bruce Reed, Finding the maximum-weight induced *k*-partite subgraph of an *i*-triangulated graph, Discrete Applied Mathematics, Vol 158, Issue 7 (2010), 765-770.

**13.** Louigi Addario-Berry, Nicolas Broutin, Bruce Reed, Critical random graphs and the structure of a minimum spanning tree, Random Structures and Algorithms, Vol 35, Issue 3 (2009), 323-347.

(An extended abstract of this paper appeared as "The diameter of the minimum weight spanning tree of a complete graph" in Discrete Mathematics and Theoretical Computer Science Proceedings,
Fourth Colloquium on Mathematics and Computer Science (2006)).

**12.** Louigi Addario-Berry, Omid Amini, Jean-Sébastien Sereni, Stephan Thomassé, Guarding Art Galleries: The Extra Cost for Sculptures is Linear. Lecture Notes in Computer Science, Volume 5124 (2008), 41-52.

**11.** Louigi Addario-Berry, Bruce Reed, Ballot theorems, old and new, in Bolyai Society Mathematical Studies, Vol 17 (2008).

**10.** Louigi Addario-Berry, Maria Chudnovsky, Frédéric Havet, Bruce Reed, Paul Seymour, Bisimplicial vertices in even-hole-free graphs, Journal of Combinatorial Theory, Series B, Vol 98, Issue 6 (2008), 1119-1164.

**9.** Louigi Addario-Berry, Paul Reeve, Mental health: maybe human troubles don't fit into set categories. Nature **454**, 824-824 (13 Aug 2008), Correspondence.

**8.** Louigi Addario-Berry, Neil Olver, Adrian Vetta, A Polynomial Time Algorithm for Finding Nash Equilibria in Planar Win-Lose Games. Journal of Graph Algorithms and Applications, Volume 11, Issue 1 (2007), 309-319.

**7.** Louigi Addario-Berry, Amites Sarkar, The simple random walk on a Voronoi tiling, not intended for publication.

**6.** Louigi Addario-Berry, Frédéric Havet, and Stephan Thomassé, Paths with two blocks in n-chromatic digraphs. Journal of Combinatorial Theory, Series B, Volume 97, Issue 4 (2007) 620-626

**5.** Louigi Addario-Berry, Ketan Dalal, and Bruce Reed, Degree-Constrained Subgraphs, Discrete Applied Mathematics, Volume 156, Issue 7 (2008) 1168-1174
(An extended abstract of this paper was presented at GRACO2005 (2nd Brazilian Symposium on Graphs, Algorithms, and Combinatorics) and appeared in Electronic Notes in Discrete Mathematics 19 (2005) 257-263.)

**4.** Louigi Addario-Berry, Ketan Dalal, Colin McDiarmid, Bruce Reed and Andrew Thomason, Vertex-Colouring Edge-Weightings. Combinatorica Volume 27, Issue 1 (2007) 1-12

**3.** Louigi Addario-Berry, R.E.L. Aldred, Ketan Dalal, and Bruce Reed, Vertex Colouring Edge Partitions. Journal of Combinatorial Theory B Volume 94, Issue 2 (2005) 237-244

**2.** Louigi Addario-Berry, Benny Chor, Michael T. Hallett, Jens Lagergren, Alessandro Panconesi and Todd Wareham, "Ancestral Maximum Likelihood of Evolutionary Trees is Hard." Journal of Bioinformatics and Computational Biology Volume 2, No. 2 (2004) 257-271.

(An extended abstract of this paper appeared in Proceedings of the Third International Workshop on Algorithms in Bioinformatics (WABI'03). Lecture Notes in Computer Science no. 2812. Springer-Verlag; Berlin. 202-215.)

**1.** Louigi Addario-Berry, Michael T. Hallett, and Jens Lagergren, Towards Identifying Lateral Gene Transfer Events. Pacific Symposium on Biocomputing 2003: 279-290