Selected publications:

  • Geodesics, bigeodesics, and coalescence in first passage percolation in general dimension.  Available at https://arxiv.org/abs/2001.08736 . 76 pp. (2020)
  • Geodesics toward corners in first passage percolation.  With Q. Berger.  Journal of Statistcal Physics 172, 1029-1056. Available at https://arxiv.org/abs/1709.09072 .  22 pp. (2018)
  • Pinning of a renewal on a quenched renewal.  With Q. Berger.  Electronic Journal of Probability 23, Paper No. 6, 48 pp. Available at https://projecteuclid.org/euclid.ejp/1518426053 .  (2018)
  • Local asymptotics for the first intersection of two independent renewals.  With Q. Berger.  Electronic Journal of Probability 21, Paper 68, 20 pp.  Available at https://projecteuclid.org/euclid.ejp/1480561217 .  (2016)
  • Local limit theorems and renewal theory with no moments.  With Q. Berger.  Electronic Journal of Probability 21, Paper 66, 18 pp.  Available at https://projecteuclid.org/euclid.ejp/1480129233 . (2016)
  • Directed polymers in a random environment with a defect line.  With G. Yildirim.  Electronic Journal of Probability 20, Paper 6, 20 pp.  Available at https://projecteuclid.org/euclid.ejp/1465067112 . (2015)
  • Path properties of the random pinning polymer in the delocalized regime.  With N. Zygouras.  Annals of Applied Probability 24, 599-615.  Available at http://arxiv.org/abs/1210.1862 .  (2014)
  • Controlled random walk with a target site.  Electronic Communications in Probability 18, Paper 43, 1-6.  Available at https://projecteuclid.org/euclid.ecp/1465315582 .  (2013)
  • Subgaussian concentration and rates of convergence in directed polymers.  With N. Zygouras.  Electronic Journal of Probability 18, Paper 5, 1-28.  Available at https://projecteuclid.org/euclid.ejp/1465064230.  (2013)
  • Subgaussian rates of convergence of means in directed first passage percolation.  Available at http://arxiv.org/abs/1101.1549v1  .  15 pages (2011)
  • Layering and wetting transitions for an SOS interface.  With F. Dunlop and S. Miracle-Sole.  Journal of Statistical Physics 142, 524 – 576.  Available at http://arxiv.org/abs/0908.0321 .  (2011)
  • Excursions and local limit theorems for Bessel-like random walks.  Electronic Journal of Probability 16, 1 – 44.  Available at https://projecteuclid.org/euclid.ejp/1464820170 .  (2011)
  • Layering in the Ising model.  With F. Dunlop and S. Miracle-Sole.  Journal of Statistical Physics 141, 217 – 241.  Available at http://arxiv.org/abs/0911.2105 .  (2010)
  • Equality of critical points for polymer depinning transitions with loop exponent one.  With N. Zygouras.  Annals of Applied Probability 20, 356 – 366.  Available at http://arxiv.org/abs/0811.1902 . (2010)
  • Quenched and annealed critical points in polymer pinning models.  With N. Zygouras.  Communications in Mathematics Physics 291, 659 – 689.  Available at http://arxiv.org/abs/0805.1708 .  (2008)
  • Ivy on the ceiling:  first-order polymer depinning transitions with quenched disorder.  Markov Processes and Related Fields 13, 663 – 680.  Available at http://arxiv.org/abs/math.PR/0612625.  (2007)
  • The effect of disorder on polymer depinning transitions.  Communications in Mathematical Physics 279, 117 – 146.  Available at http://arxiv.org/abs/math.PR/0610008.  (2008)
  • Pinning of polymers and interfaces by random potentials.  With V. Sidoravicius.  Annals of Applied Probability 16, 636 – 669.  Available at http://arxiv.org/abs/math.PR/0501028 . (2006)
  • Colligative properties of solutions: I. Fixed concentrations. With M. Biskup and L. Chayes.  Journal of Statistical Physics 119, 479 – 507.  Available at http://arxiv.org/abs/math-ph/0407034.  (2005)
  • Colligative properties of solutions:  II. Vanishing concentrations.  With M. Biskup and L. Chayes.  Journal of Statistical Physics 119, 509 – 537.  Available at http://arxiv.org/abs/math-ph/0407035.  (2005)
  • Separated-occurrence inequalities for dependent percolation and Ising models.  Available at  http://arxiv.org/abs/math.PR/0210015  .  38 pages. (2002)
  • Mixing properties and exponential decay for lattice systems in finite volumes.  Annals of Probability 32, 441 – 487.  Available at  http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=01-309  .  (2004)
  • Lower bounds for boundary roughness for droplets in Bernoulli percolation.  With H. Uzun.  Probability Theory and Related Fields 127, 62 – 88.  Available at  http://arxiv.org/abs/math.PR/0210016  .  (2003)
  • The spectral gap of the 2-D stochastic Ising model with mixed boundary conditions.  With N. Yoshida.  Journal of Statistical Physics 104, 89 – 109.  Available at  http://front.math.ucdavis.edu/math.PR/0008201 .  (2001)
  • The spectral gap of the 2-D stochastic Ising model with nearly single-spin boundary conditions.   Journal of Statistical Physics 104, 59 – 87.  Available from  http://www.ma.utexas.edu/mp_arc/  as preprint #00-230.  (2001)
  • Cube-root boundary fluctuations for droplets in random cluster models. Communications in Mathematical Physics 224, 733 – 781.  Available from  http://www.ma.utexas.edu/mp_arc/  as preprint #00-19.  72 pages.  (2001)
  • Power-law corrections to exponential decay of connectivities and correlations in lattice models. Annals of Probability 29, 92 – 122.  Available from  http://www.ma.utexas.edu/mp_arc/  as preprint #00-245.  (2001)
  • The asymmetric random cluster model and comparison of Ising and Potts models. Probability Theory and Related Fields  120, 395-444.  Available from  http://www.ma.utexas.edu/mp_arc/  as preprint #00-81.  (2001).
  • On weak mixing in lattice models. Probability Theory and Related Fields 110, 441-471 (1998).
  • Non-perturbative criteria for Gibbsian uniqueness. With L. Chayes. Communications in Mathematical Physics 198, 447-464 (1997).
  • Approximation of subadditive functions and convergence rates in limiting-shape results. Special Invited Paper. Annals of Probability 25, 30-55 (1997).
  • Boundedness of level lines for two-dimensional random fields. Annals of Probability  24, 1653-1674 (1996).
  • Percolation and minimal spanning forests in infinite graphs. Annals of Probability 23, 87-104 (1995).
  • Rates of convergence of means for distance-minimizing subadditive Euclidean functionals. Annals of Applied Probability 4, 902-922 (1994).
  • The rate of convergence of the mean length of the longest common subsequence, Annals of Applied Probability 4, 1074-1082 (1994).
  • Percolation of level sets for two-dimentional random fields with lattice symmetry. With S.A. Molchanov. Journal of Statistical Physics 77, 627-634 (1994).