(with Noah Forman, Soumik Pal, and Matthias Winkel) Diffusions on a space of interval partitions: Poisson-Dirichlet stationary distributions, Annals of Probability, 49(2), (2021).
(with Noah Forman, Soumik Pal, and Matthias Winkel) Diffusions on a space of interval partitions: construction from marked Lévy processes, Electronic Journal of Probability, 25, (2020).
(with Noah Forman, Soumik Pal, and Matthias Winkel) Projections of the Aldous chain on binary trees: Intertwining and consistency, Random Structures & Algorithms, 57(3), (2020).
(with Noah Forman, Soumik Pal, and Matthias Winkel) Metrics on sets of interval partitions with diversity, Electronic Communications in Probability, 25, (2020).
Determinants of Seidel matrices and a conjecture of Ghorbani, Linear Algebra and Applications, 579, (2019).
(with Christopher Hoffman and Erik Slivken) Fixed points of 321-avoiding permutations, Proc. Amer. Math. Soc., 147, (2019).
(with Noah Forman, Soumik Pal, and Matthias Winkel) Uniform control of local times of spectrally positive stable processes. Annals of Applied Probability, 28 no. 4, (2018).
(with Krzysztof Burdzy) A random flight process associated to a Lorentz gas with variable density in a gravitational field. Stochastic Processes and their Applications, 128(1) (2018).
(with Samuel Miner and Erik Slivken) Asymptotic distribution of fixed points of pattern-avoiding involutions, Discrete Mathematics and Theoretical Computer Science 19 no 2, (2017).
(with Christopher Hoffman and Erik Slivken) Pattern-avoiding permutations and Brownian excursion, Part II: Fixed points. Probability Theory and Related Fields 169(1-2) (2017).
(with Christopher Hoffman and Erik Slivken) Pattern-avoiding permutations and Brownian excursion Part I: Shapes and fluctuations. Random Structures & Algorithms 50 no. 3 (2017).
(with Alexandru Hening and Eric S. Wayman) The free path in a high velocity random flight process associated to a Lorentz gas in an external field. Trans. Amer. Math. Soc. Ser. B 3 (2016).
Scaling limits of Markov branching trees and Galton-Watson trees conditioned on the number of vertices with out-degree in a given set. Ann. Inst. Henri Poincaré Probab. Stat. 51 no. 2 (2015).
(with Jim Pitman) Schröder’s problems and scaling limits of random trees. Trans. Amer. Math Soc. 367 no. 10 (2015).
(with Jim Pitman and Matthias Winkel) Regenerative tree growth: structural results and convergence. Electron. J. Probab. 19 no. 70 (2014).
(with Andrew Niedermaier and Francis Edward Su) A tree Sperner Lemma. Contemporary Mathematics, 625, (2014)
(with Francis Edward Su) A fixed point theorem for the infinite-dimensional simplex. J. Math. Anal. Appl. 332 (2007)
Preprints
(with Noah Forman, Soumik Pal, and Matthias Winkel) Ranked masses in two-parameter Fleming-Viot diffusions, arXiv:2101.09307, 2021.
(with Kelvin Rivera-Lopez) Diffusive limits of two-parameter ordered Chinese Restaurant Process up-down chains, arXiv:2011.06577, 2020.
(with Noah Forman, Quan Shi, and Matthias Winkel) Diffusions on a space of interval partitions: The two-parameter model, arXiv:2008.02823, 2020.
(with Noah Forman, Quan Shi, and Matthias Winkel) A two-parameter family of measure-valued diffusions with Poisson-Dirichlet stationary distributions, arXiv:2007.05250, 2020.
(with Christopher Hoffman and Erik Slivken) Scaling limits of permutations avoiding long decreasing sequences, arXiv:1911.04982, 2019.
(with Noah Forman, Soumik Pal, and Matthias Winkel) Aldous diffusion I: A projective system of continuum k-tree evolutions, arXiv:1809.07756, 2018.
(with Noah Forman, Soumik Pal, and Matthias Winkel) Interval partition evolutions with emigration related to the Aldous diffusion, arXiv:1804.01205, 2018.
(with Noah Forman, Soumik Pal, and Matthias Winkel) Diffusions on a space of interval partitions with Poisson-Dirichlet stationary distributions, arXiv:1609.06706, 2016.
Strange uniform random variables, arXiv:1301.7148v1, 2013.
