Journal Article

FitzGerald, Will, Tribe, Roger and Zaboronski, Oleg V. (2020) Sharp asymptotics for Fredholm Pfaffians related to interacting particle systems and random matrices. Electronic Journal of Probability, 25 . pp. 1-15. 116. doi:10.1214/20-EJP512

Akemann, Gernot, Tribe, Roger, Tsareas, Athanasios and Zaboronski, Oleg V. (2020) On the determinantal structure of conditional overlaps for the complex Ginibre ensemble. Random Matrices: Theory and Applications, 9 (4). 2050015. doi:10.1142/S201032632050015X (In Press)

Garrod, Barnaby, Poplavskyi, Mihail, Tribe, Roger and Zaboronski, Oleg V. (2018) Examples of interacting particle systems on Z as Pfaffian point processes : annihilating and coalescing random walks. Annales Henri Poincare, 19 (12). pp. 3635-3662. doi:10.1007/s00023-018-0719-x

Lukins, Jamie, Tribe, Roger and Zaboronski, Oleg V. (2018) Multi-point correlations for two dimensional coalescing random walks. Journal of Applied Probability, 55 (4). pp. 1158-1185. doi:10.1017/jpr.2018.77

Poplavskyi, Mihail, Tribe, Roger and Zaboronski, Oleg V. (2017) On the distribution of the largest real Eigenvalue for the real Ginibre Ensemble. Annals of Applied Probability, 27 (3). pp. 1395-1413. doi:10.1214/16-AAP1233

Kanzieper, Eugene, Poplavskyi, Mihail, Timm, Carsten, Tribe, Roger and Zaboronski, Oleg V. (2016) What is the probability that a large random matrix has no real Eigenvalues? Annals of Applied Probability, 65 (5). pp. 2733-2753. doi:10.1214/15-AAP1160

Tribe, Roger and Zaboronski, Oleg V. (2014) The Ginibre evolution in the large-N limit. Journal of Mathematical Physics, Volume 55 (Number 6). Article number 063304. doi:10.1063/1.4881724

Connaughton, Colm, Rajesh, R., Tribe, Roger and Zaboronski, Oleg V. (2013) Non-equilibrium phase diagram for a model with coalescence, evaporation and deposition. Journal of Statistical Physics, Volume 152 (Number 6). pp. 1115-1144. doi:10.1007/s10955-013-0800-2

Tribe, Roger, Yip, Siu Kwan and Zaboronski, Oleg V. (2012) One dimensional annihilating and coalescing particle systems as extended Pfaffian point processes. Electronic communications in probability, Vol.17 (No.40). pp. 1-7. doi:10.1214/ECP.v17-2133

Tribe, Roger and Zaboronski, Oleg V. (2011) Pfaffian formulae for one dimensional coalescing and annihilating systems. Electronic Journal of Probability, Vol.16 (No.76). pp. 2080-2103. doi:10.1214/EJP.v16-942

Mueller, Carl and Tribe, Roger (2011) A phase diagram for a stochastic reaction diffusion system. Probability Theory and Related Fields, Volume 149 (Numbers 3-4). pp. 561-637. doi:10.1007/s00440-010-0265-z

Tribe, Roger and Woodward, Nicholas (2011) Stochastic order methods applied to stochastic travelling waves. Electronic Journal of Probability, Volume 16 . pp. 436-469. doi:10.1214/EJP.v16-868

Niehaus, Anne Marie S., Vlachos, Dionisios G., Edwards, Jeremy S., Plechac, Petr and Tribe, Roger (2008) Microscopic simulation of membrane molecule diffusion on corralled membrane surfaces. Biophysical Journal, Vol.94 (No.5). pp. 1551-1564. doi:10.1529/biophysj.107.106484

Dalang, Robert C., Mueller, Carl and Tribe, Roger (2008) A Feynman-Kac-type formula for the deterministic and stochastic wave equations and other p.d.e.'s. Transactions of the American Mathematical Society, Vol.360 (No.9). pp. 4681-4703. doi:10.1090/S0002-9947-08-04351-1

Pospisil, Jan and Tribe, Roger (2007) Parameter estimates and exact variations for stochastic heat equations driven by space-time white noise. Stochastic Analysis and Applications, Volume 25 (Number 3). pp. 593-611. doi:10.1080/07362990701282849

Bloemker, D., Romito, M. and Tribe, Roger (2007) A probabilistic representation for the solutions to some non-linear PDEs using pruned branching trees. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Volume 43 (Number 2). pp. 175-192. doi:10.1016/j.anihpb.2006.02.001

Munasinghe, Ranjiva, Rajesh, R., Tribe, Roger and Zaboronski, Oleg V. (2006) Multi-scaling of the n-point density function for coalescing Brownian motions. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 268 (3). pp. 717-725. doi:10.1007/s00220-006-0110-5