Books, Lecture Notes, Review Articles, and Proceedings:

  1. Lecture notes for the 2017 AMS short course on random growth models. (2017)
  2. with M. Damron and T. Seppäläinen: Random growth models. Notices of the AMS, 63, 1004-1008. (2016)
  3. with M. Damron and T. Seppäläinen: AMS short course in Atlanta, GA. Notices of the AMS, 63, 1087-1090. (2016)
  4. with D. Khoshnevisan: Introduction to probability. These are the lecture notes I use for undergraduate probability. Some homework exercises refer to Robert Ash's book.
  5. with T. Seppäläinen: A course on large deviations with an introduction to Gibbs measures. Graduate Studies in Mathematics, 162, American Mathematical Society, Providence. (2015) (on Amazon) (on Google) (Errata)
  6. with D. Khoshnevisan (Editors) A Minicourse on Stochastic Partial Differential Equations. Lect. Notes in Math, 1962, Springer-Verlag, Berlin (2009); Authors: R. Dalang, D. Khoshnevisan, C. Mueller, D. Nualart, and Y. Xiao. (on Amazon)


Articles Submitted for Publication:

  1. with K. Smith and C. Strong: Multisite generalization of the SHArP weather generator. (2017)


Articles in Refereed Journals:

  1. with N. Georgiou and T. Seppäläinen: Geodesics and the competition interface for the corner growth model. Probab. Th. Rel. Fields., 169, 223-255. (2017)
  2. with N. Georgiou and T. Seppäläinen: Stationary cocycles and Busemann functions for the corner growth model. Probab. Th. Rel. Fields., 169, 177-222. (2017)
  3. with T. Seppäläinen and A. Yilmaz: Averaged vs. quenched large deviations and entropy for random walk in a dynamic random environment. Electron. J. Probab., 22, 1-47. (2017)
  4. with K. Smith and C. Strong: A new method for generating stochastic simulations of air temperature. J. Appl. Meteor. Climatol., 56, 953-963. (2017)
  5. with T. Seppäläinen and A. Yilmaz: Variational formulas and disorder regimes of random walks in random potentials. Bernoulli, 23, 405-431. (2017)
  6. with N. Georgiou and T. Seppäläinen: Variational formulas and cocycle solutions for directed polymer and percolation models. Commun. Math. Phys., 346, 741-779. (2016)
  7. with N. Georgiou, T. Seppäläinen and A. Yilmaz: Ratios of partition functions for the log-gamma polymer. Ann. Probab., 43, 2282-2331. (2015)
  8. with A. Borisyuk: Quasiperiodicity and phase locking in stochastic circle maps: a spectral approach. Phys. D: Nonlinear Phenomena, 288, 30-44. (2014)
      [Preprint with videos embedded (larger file)] [Videos]
  9. with T. Seppäläinen: Quenched point-to-point free energy for random walks in random potentials. Probab. Th. Rel. Fields, 158, 711-750. (2014)
  10. with D. Campos, A. Drewitz, A.F. Ramírez, and T. Seppäläinen: Level 1 quenched large deviation principle for random walk in dynamic random environment. Bull. Inst. Math. Acad. Sin., 8, 1-29. Special Issue in honor of the 70th birthday of Raghu Varadhan. (2013)
  11. with T. Seppäläinen and A. Yilmaz: Quenched free energy and large deviations for random walks in random potentials. Comm. Pure Appl. Math., 66, 202-244. (2013)
  12. with M. Joseph: Almost sure invariance principle for continuous space random walk in dynamic random environment. ALEA Lat. Am. J. Probab. Math. Stat., 8, 43-57. (2011)
  13. with T. Seppäläinen: Process-level quenched large deviations for random walk in random environment. Ann. Inst. H. Poincaré Probab. Statist., 47, 214-242. (2011)
  14. with T. Seppäläinen: Almost sure functional central limit theorem for ballistic random walk in random environment. Ann. Inst. H. Poincaré Probab. Statist., 45, 373-420. (2009)
  15. with T. Seppäläinen: An almost sure invariance principle for additive functionals of Markov chains. Statist. Probab. Lett., 78, 854-860. (2008)
  16. with M. Balázs, T. Seppäläinen, and S. Sethuraman: Existence of the zero range process and a deposition model with superlinear growth rates. Ann. Probab., 35, 1209-1249. (2007)
  17. with T. Seppäläinen: Quenched invariance principle for multidimensional ballistic random walk in a random environment with a forbidden direction. Ann. Probab., 35, 1-31. (2007)
  18. with M. Balázs and T. Seppäläinen: The random average process and random walk in a space-time random environment in one dimension. Commun. Math. Phys., 266, 499-545. (2006)
  19. with T. Seppäläinen: Ballistic random walk in a random environment with a forbidden direction. ALEA Lat. Am. J. Probab. Math. Stat., 1, 111-147. (2006)
  20. with T. Seppäläinen: An almost sure invariance principle for random walks in a space-time random environment. Probab. Th. Rel. Fields, 133, 299-314. (2005)
  21. On the zero-one law and the law of large numbers for a random walk in a mixing random environment. Electron. Comm. in Probab. 10, 36-44. (2005)
  22. Large deviations for random walks in a mixing random environment and other (non-Markov) random walks. Comm. Pure Appl. Math. 57, 1178-1196. (2004)
  23. The point of view of the particle on the law of large numbers for random walks in a mixing random environment. Ann. Probab. 31, 1441-1463. (2003)


Preprints and Extended Versions:

  1. with N. Georgiou and T. Seppäläinen: Geodesics and the competition interface for the corner growth model. Extended version (includes a coalescence appendix). (2015)
  2. with N. Georgiou and T. Seppäläinen: Stationary cocycles for the corner growth model. Extended Version. (2015)
  3. with T. Seppäläinen: Quenched point-to-point free energy for random walks in random potentials. Extended Version. (2012)
  4. with T. Seppäläinen: Almost sure functional central limit theorem for non-nestling random walk in random environment. Preprint. (2007)
  5. Le comportement non-récurrent dans la dynamique quantique: Le rotateur quantique. Preprints of the University of Paris 7 (1996) (English abstract)