Publications of Tom Alberts

Dimension Results for the Spectral Measure of the Circular Beta Ensembles.
Tom Alberts, Raoul Normand. Annals of Applied Probability, 32, 4642–4680. (2022).
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The Green's function of the parabolic Anderson model and the continuum directed polymer.
Tom Alberts, Chris Janjigian, Firas Rassoul-Agha, Timo Seppalainen. arXiv:2208.11255 [math.PR] . (2022).
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On the passage time geometry of the last passage percolation problem.
Tom Alberts, Eric Cator. ALEA Lat. Am. J. Probab. Math. Stat., 18, 211–247. (2021).
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Pole dynamics and an integral of motion for multiple SLE(0).
Tom Alberts, Nam-Gyu Kang, Nikolai Makarov, Sung-Soo Byun. arXiv:2011.05714 [math.CV] . (2020).
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Busemann functions and semi-infinite O'Connell-Yor polymers.
Tom Alberts, Firas Rassoul-Agha, Mackenzie Simper. Bernoulli, 26, 1927–1955. (2020).
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Nested critical points for a directed polymer on a disordered diamond lattice.
Tom Alberts, Jeremy Clark. J. Theoret. Probab., 32, 64–89. (2019).
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The intermediate disorder regime for a directed polymer model on a hierarchical lattice.
Tom Alberts, Jeremy Clark, Saša Kocić. Stochastic Process. Appl., 127, 3291–3330. (2017).
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Bak-Sneppen backwards.
Tom Alberts, Ga Yeong (Grace) Lee, Mackenzie Simper. Stochastics, 89, 1127–1142. (2017).
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A dimension spectrum for SLE boundary collisions.
Tom Alberts, Ilia Binder, Fredrik Viklund. Comm. Math. Phys., 343, 273–298. (2016).
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The intermediate disorder regime for directed polymers in dimension $1+1$.
Tom Alberts, Konstantin Khanin, Jeremy Quastel. Ann. Probab., 42, 1212–1256. (2014).
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Diffusions of multiplicative cascades.
Tom Alberts, Ben Rifkind. Stochastic Process. Appl., 124, 1141–1169. (2014).
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The continuum directed random polymer.
Tom Alberts, Konstantin Khanin, Jeremy Quastel. J. Stat. Phys., 154, 305–326. (2014).
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The near-critical scaling window for directed polymers on disordered trees.
Tom Alberts, Marcel Ortgiese. Electron. J. Probab., 18, no. 19, 24. (2013).
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Some partial results on the convergence of loop-erased random walk to SLE(2) in the natural parametrization.
Tom Alberts, Michael Kozdron, Robert Masson. J. Stat. Phys., 153, 119–141. (2013).
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The Green function for the radial Schramm-Loewner evolution.
Tom Alberts, Michael Kozdron, Gregory Lawler. J. Phys. A, 45, 494015, 17. (2012).
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The covariant measure of SLE on the boundary.
Tom Alberts, Scott Sheffield. Probab. Theory Related Fields, 149, 331–371. (2011).
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Bridge decomposition of restriction measures.
Tom Alberts, Hugo Duminil-Copin. J. Stat. Phys., 140, 467–493. (2010).
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Dimension and measure of SLE on the boundary.
Tom Alberts. ProQuest LLC, Ann Arbor, MI, (2008).
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Intersection probabilities for a chordal SLE path and a semicircle.
Tom Alberts, Michael Kozdron. Electron. Commun. Probab., 13, 448–460. (2008).
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Hausdorff dimension of the SLE curve intersected with the real line.
Tom Alberts, Scott Sheffield. Electron. J. Probab., 13, no. 40, 1166–1188. (2008).
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A locally adaptive transformation method of boundary correction in kernel density estimation.
Rohana J. Karunamuni, Tom Alberts. J. Statist. Plann. Inference, 136, 2936–2960. (2006).
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On boundary correction in kernel density estimation.
Rohana J. Karunamuni, Tom Alberts. Stat. Methodol., 2, 191–212. (2005).
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A generalized reflection method of boundary correction in kernel density estimation.
Rohana J. Karunamuni, Tom Alberts. Canad. J. Statist., 33, 497–509. (2005).
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A semiparametric method of boundary correction for kernel density estimation.
Tom Alberts, Rohana J. Karunamuni. Statistics & Probability Letters, 61, 287-298. (2003).
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