Publications of Tom Alberts

Conformal field theory of Gaussian free fields in a multiply connected domain.
Tom Alberts, Sung-Soo Byun, Nam-Gyu Kang. arXiv:2407.08220 [math-ph] . (2024).
PDF
Dimension Results for the Spectral Measure of the Circular Beta Ensembles.
Tom Alberts, Raoul Normand. Annals of Applied Probability, 32, 4642–4680. (2022).
PDF Cite DOI
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).
PDF Cite
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).
PDF Cite DOI
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).
PDF Cite
Busemann functions and semi-infinite O'Connell-Yor polymers.
Tom Alberts, Firas Rassoul-Agha, Mackenzie Simper. Bernoulli, 26, 1927–1955. (2020).
PDF Cite DOI
Nested critical points for a directed polymer on a disordered diamond lattice.
Tom Alberts, Jeremy Clark. J. Theoret. Probab., 32, 64–89. (2019).
PDF Cite DOI
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).
PDF Cite DOI
Bak-Sneppen backwards.
Tom Alberts, Ga Yeong (Grace) Lee, Mackenzie Simper. Stochastics, 89, 1127–1142. (2017).
PDF Cite DOI
A dimension spectrum for SLE boundary collisions.
Tom Alberts, Ilia Binder, Fredrik Viklund. Comm. Math. Phys., 343, 273–298. (2016).
PDF Cite DOI
The intermediate disorder regime for directed polymers in dimension $1+1$.
Tom Alberts, Konstantin Khanin, Jeremy Quastel. Ann. Probab., 42, 1212–1256. (2014).
PDF Cite DOI
Diffusions of multiplicative cascades.
Tom Alberts, Ben Rifkind. Stochastic Process. Appl., 124, 1141–1169. (2014).
PDF Cite DOI
The continuum directed random polymer.
Tom Alberts, Konstantin Khanin, Jeremy Quastel. J. Stat. Phys., 154, 305–326. (2014).
PDF Cite DOI
The near-critical scaling window for directed polymers on disordered trees.
Tom Alberts, Marcel Ortgiese. Electron. J. Probab., 18, no. 19, 24. (2013).
PDF Cite DOI
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).
PDF Cite DOI
The Green function for the radial Schramm-Loewner evolution.
Tom Alberts, Michael Kozdron, Gregory Lawler. J. Phys. A, 45, 494015, 17. (2012).
PDF Cite DOI
The covariant measure of SLE on the boundary.
Tom Alberts, Scott Sheffield. Probab. Theory Related Fields, 149, 331–371. (2011).
PDF Cite DOI
Bridge decomposition of restriction measures.
Tom Alberts, Hugo Duminil-Copin. J. Stat. Phys., 140, 467–493. (2010).
PDF Cite DOI
Dimension and measure of SLE on the boundary.
Tom Alberts. ProQuest LLC, Ann Arbor, MI, (2008).
PDF Cite
Intersection probabilities for a chordal SLE path and a semicircle.
Tom Alberts, Michael Kozdron. Electron. Commun. Probab., 13, 448–460. (2008).
PDF Cite DOI
Hausdorff dimension of the SLE curve intersected with the real line.
Tom Alberts, Scott Sheffield. Electron. J. Probab., 13, no. 40, 1166–1188. (2008).
PDF Cite DOI
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).
PDF Cite DOI
On boundary correction in kernel density estimation.
Rohana J. Karunamuni, Tom Alberts. Stat. Methodol., 2, 191–212. (2005).
PDF Cite DOI
A generalized reflection method of boundary correction in kernel density estimation.
Rohana J. Karunamuni, Tom Alberts. Canad. J. Statist., 33, 497–509. (2005).
PDF Cite DOI
A semiparametric method of boundary correction for kernel density estimation.
Tom Alberts, Rohana J. Karunamuni. Statistics & Probability Letters, 61, 287-298. (2003).
PDF Cite DOI