2020

Caravenna, Francesco, Sun, Rongfeng and Zygouras, Nikos (2020) The two-dimensional KPZ equation in the entire subcritical regime. Annals of Probability, 48 (3). pp. 1086-1127. doi:10.1214/19-AOP1383

2019

Caravenna, Francesco, Sun, Rongfeng and Zygouras, Nikos (2019) The Dickman subordinator, renewal theorems, and disordered systems. Electronic Journal of Probability, 24 . 101. doi:10.1214/19-EJP353

Caravenna, Francesco, Sun, Rongfeng and Zygouras, Nikos (2019) On the moments of the (2+1)-dimensional directed polymer and stochastic heat equation in the critical window. Communications in Mathematical Physics . doi:10.1007/s00220-019-03527-z (In Press)

Bisi, Elia and Zygouras, Nikos (2019) GOE and Airy_{2\to1} marginal distribution via symplectic Schur functions. In: Friz, Peter and König, W. and Mukherjee, C. and Olla, S., (eds.) Probability and Analysis in Interacting Physical Systems. VAR75 2016. Springer Proceedings in Mathematics & Statistics, 283 . Cham: Springer. ISBN 9783030153373 (In Press)

Bisi, Elia and Zygouras, Nikos (2019) Point-to-line polymers and orthogonal Whittaker functions. Transactions of the American Mathematical Society, 371 (12). pp. 8339-8379. doi:10.1090/tran/7423

2017

Caravenna, Francesco , Sun, Rongfeng and Zygouras, Nikos (2017) Universality in marginally relevant disordered systems. Annals of Applied Probability, 27 (5). pp. 3050-3112. doi:10.1214/17-AAP1276

Caravenna, Francesco, Rongfeng, Sun and Zygouras, Nikos (2017) Polynomial chaos and scaling limits of disordered systems. Journal of the European Mathematical Society, 19 (1). pp. 1-65. doi:10.4171/JEMS/660

2016

Dey, Partha S. and Zygouras, Nikos (2016) High temperature limits for $(1+1)$-dimensional directed polymer with heavy-tailed disorder. The Annals of Probability, 44 (6). pp. 4006-4048. doi:10.1214/15-AOP1067

Nguyen, Vu-Lan and Zygouras, Nikos (2016) Variants of geometric RSK, geometric PNG, and the multipoint distribution of the log-gamma polymer. International Mathematics Research Notices . rnw145. doi:10.1093/imrn/rnw145

2014

Caravenna, Francesco, Rongfeng, Sun and Zygouras, Nikos (2014) The continuum disordered pinning model. Probability Theory and Related Fields, 164 (1). pp. 17-59. doi:10.1007/s00440-014-0606-4

O’Connell, Neil, Seppäläinen, Timo and Zygouras, Nikos (2014) Geometric RSK correspondence, Whittaker functions and symmetrized random polymers. Inventiones mathematicae , Volume 197 (Number 2). pp. 361-416. doi:10.1007/s00222-013-0485-9

Alexander, Kenneth S. and Zygouras, Nikos (2014) Path properties of the disordered pinning model in the delocalized regime. The Annals of Applied Probability, Volume 24 (Number 2). pp. 599-615. doi:10.1214/13-AAP930

Alexander, Kenneth S. and Zygouras, Nikos (2014) Path properties of the disordered pinning model in the delocalized regime. The Annals of Applied Probability, Volume 24 (Number 2). pp. 599-615. doi:10.1214/13-AAP930

Berger, Quentin, Caravenna, Francesco, Poisat, Julien, Sun, Rongfeng and Zygouras, Nikos (2014) The critical curves of the random pinning and copolymer models at weak coupling. Communications in Mathematical Physics, Volume 326 (Number 2). pp. 507-530. doi:10.1007/s00220-013-1849-0

2013

Alexander, Kenneth S. and Zygouras, Nikos (2013) Subgaussian concentration and rates of convergence in directed polymers. Electronic Journal of Probability, Volume 18 . pp. 1-28. 5. doi:10.1214/EJP.v18-2005

Zygouras, Nikos (2013) Strong disorder in semidirected random polymers. Annales de l'Institut Henri Poincaré, Probabilités et Statistique, Volume 49 (Number 3). pp. 753-780. doi:10.1214/12-AIHP483

2010

Alexander, Kenneth S. and Zygouras, Nikos (2010) Equality of critical points for polymer depinning transitions with loop exponent one. Annals of Applied Probability, Vol.20 (No.1). pp. 356-366. doi:10.1214/09-AAP621

2009

Alexander, Kenneth S. and Zygouras, Nikos (2009) Quenched and annealed critical points in polymer pinning models. Communications in Mathematical Physics, Vol.291 (No.3). pp. 659-689. doi:10.1007/s00220-009-0882-5

Zygouras, Nikos (2009) Lyapounov norms for random walks in low disorder and dimension greater than three. Probability Theory and Related Fields, Vol.143 (No.3-4). pp. 615-642. doi:10.1007/s00440-008-0139-9

Alexander, Kenneth S. and Zygouras, Nikos (2009) Equality of critical points for polymer depinning transitions with loop exponent one. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2009 (No.22).

Alexander, Kenneth S. and Zygouras, Nikos (2009) Quenched and annealed critical points in polymer pinning models. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2009 (No.21).

2008

Varadhan, S. R. S. and Zygouras, Nikos (2008) Behavior of the solution of a random semilinear heat equation. Communications on Pure and Applied Mathematics, Vol.61 (No.9). pp. 1298-1329. doi:10.1002/cpa.20256