PhD thesis
| • | Shape fluctuation of crystal facets and surface growth in one dimension |    |
Research papers
| 2018 | ||
| • | Time-time covariance for last passage percolation with generic initial profile, with Alessandra Occelli, arXiv:1807.02982, preprint (2018). | |
| 2017 | ||
| • | Finite GUE distribution with cut-off at a shock, J. Stat. Phys. 172 (2018), 505-521. | |
| • | Limit law of a second class particle in TASEP with non-random initial condition, with Peter Nejjar and Promit Ghosal, arXiv:1710.02323 (2017); to appear in Ann. Inst. H. Poincaré Probab. Statist. | |
| • | Speed and fluctuations for some driven dimer models, with Sunil Chhita and Fabio Toninelli, arXiv:1705.07641, preprint (2017); To appear in Ann. Inst. H. Poincaré D. | |
| • | Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density, with Alessandra Occelli, Electron. J. Probab., 23 (2018), no. 51, 1-24. | |
| 2016 | ||
| • | Anisotropic (2+1)d growth and Gaussian limits of q-Whittaker processes, with Alexei Borodin and Ivan Corwin, Probab. Theory Relat. Fields 172 (2018), 245-321. | |
| • | Limit distributions for KPZ growth models with spatially homogeneous random initial conditions, with Sunil Chhita and Herbert Spohn, Ann. Appl. Probab., 28 (2018), 1573-1603. | |
| • | The hard-edge tacnode process for Brownian motion, with Bálint Vető, Eletron. J. Probab., 22 (2017), no. 79, 1-32. | |
| • | Fluctuations of the competition interface in presence of shocks, with Peter Nejjar, ALEA, Lat. Am. J. Probab. Math. Stat. 14 (2017), 299-325. | |
| • | On time correlations for KPZ growth in one dimension, with Herbert Spohn, SIGMA 12 (2016), 074. | |
| 2015 | ||
| • | A combinatorial identity for the speed of growth in an anisotropic KPZ model, with Sunil Chhita, Ann. Inst. H. Poincaré D 4 (2017), 453-477. | |
| • | Random tilings and Markov chains for interlacing particles, with Alexei Borodin, Markov Processes Relat. Fields 24 (2018), no. 3. | |
| • | Brownian motions with one-sided collisions: the stationary case, with Herbert Spohn and Thomas Weiss, Electron. J. Probab. 20 (2015), 1-41. | |
| 2014 | ||
| • | Shock fluctuations in flat TASEP under critical scaling, with Peter Nejjar, J. Stat. Phys. 60 (2015), 985-1004. | |
| • | Height fluctuations for the stationary KPZ equation, with Alexei Borodin, Ivan Corwin, and Bálint Vető, Math. Phys. Anal. Geom. (2015), 18:20. | |
| • | KPZ universality class and the anchored Toom interface, with Gerard Barkema, Joel Lebowitz and Herbert Spohn, Phys. Rev. E 90 (2014), 042116. | |
| 2013 | ||
| • | Tracy-Widom asymptotics for q-TASEP, with Bálint Vető, Ann. Inst. H. Poincaré Probab. Statist. 51 (2015), 1465-1485. | |
| • | Coupled Kardar-Parisi-Zhang equations in one dimension, with Tomohiro Sasamoto and Herbert Spohn, J. Stat. Phys. 153 (2013), 377-399. | |
| • | Scaling limit for Brownian motions with one-sided collisions, with Herbert Spohn and Thomas Weiss, Ann. Appl. Probab. 25 (2015), 1349-1382. | |
| • | Anomalous shock fluctuations in TASEP and last passage percolation models, with Peter Nejjar, Probab. Theory Relat. Fields 61 (2015), 61-109. | |
| 2012 | ||
| • | Perturbed GUE Minor Process and Warren’s Process with Drifts, with René Frings, J. Stat. Phys. 154 (2014), 356-377. | |
| • | On the spatial persistence for Airy processes, with René Frings, J. Stat. Mech. (2013), P02001. | |
| • | Convergence of the two-point function of the stationary TASEP, with Jinho Baik and Sandrine Péché, In Singular Phenomena and Scaling in Mathematical Models (2014), 91-110. | |
| • | Free energy fluctuations for directed polymers in random media in 1+1 dimension, with Alexei Borodin and Ivan Corwin, Comm. Pure Appl. Math. 67 (2014), 1129–1214. | |
| 2011 | ||
| • | Non-colliding Brownian bridges and the asymmetric tacnode process, with Bálint Vető, Electron. J. Probab. 17 (2012), no. 44, 1-17. | |
| • | Finite time corrections in KPZ growth models, with René Frings; J. Stat. Phys. 144 (2011), 1123-1150. | |
| 2010 | ||
| • | Non-intersecting random walks in the neighborhood of a symmetric tacnode, with Mark Adler and Pierre Van Moerbeke, Ann. Probab. 41 (2013), 2599–2647. | |
| • | On the partial connection between random matrices and interacting particle systems, with René Frings; J. Stat. Phys. 141 (2010), 613-637. | |
| • | Limit processes for TASEP with shocks and rarefaction fans, with Ivan Corwin and Sandrine Péché, J. Stat. Phys. 140 (2010), 232-267. | |
| • | Universality of slow decorrelation in KPZ growth, with Ivan Corwin and Sandrine Péché, Ann. Inst. H. Poincaré B 48 (2012), 134-150. | |
| 2009 | ||
| • | Limit process of stationary TASEP near the characteristic line, with Jinho Baik and Sandrine Péché, Comm. Pure Appl. Math 63 (2010), 1017-1070. | |
| • | Maximum of Dyson Brownian motion and non-colliding systems with a boundary, with Alexei Borodin, Michael Prähofer, Tomohiro Sasamoto and Jon Warren, Electron. Comm. Probab. 14 (2009), 486-494. | |
| • | Two speed TASEP, with Alexei Borodin and Tomohiro Sasamoto, J. Stat. Phys. 137 (2009), 936-977. | |
| 2008 | ||
| • | Airy processes with wanderers and new universality classes, with Mark Adler and Pierre Van Moerbeke, Ann. Probab. 38 (2010), 714-769. | |
| • | Anisotropic growth of random surfaces in 2+1 dimensions: fluctuations and covariance structure, with Alexei Borodin, J. Stat. Mech. (2009), P02009. | |
| • | The Airy1 process is not the limit of the largest eigenvalue in GOE matrix diffusion, with Folkmar Bornemann and Michael Prähofer, J. Stat. Phys. 133 (2008), 405-415. | |
| • | Slow decorrelations in KPZ growth, J. Stat. Mech. (2008), P07022. | |
| • | Anisotropic growth of random surfaces in 2+1 dimensions, with Alexei Borodin, Comm. Math. Phys. 325 (2014), 603-684. | |
| 2007 | ||
| • | Large time asymptotics of growth models on space-like paths II: PNG and parallel TASEP, with Alexei Borodin and Tomohiro Sasamoto, Comm. Math. Phys. 283 (2008), 417-449. | |
| • | Large time asymptotics of growth models on space-like paths I: PushASEP, with Alexei Borodin, Electron. J. Probab. 13 (2008), 1380-1418. | |
| • | Transition between Airy1 and Airy2 processes and TASEP fluctuations, with Alexei Borodin and Tomohiro Sasamoto, Comm. Pure Appl. Math. 61 (2008), 1603-1629. | |
| 2006 | ||
| • | Fluctuations in the discrete TASEP with periodic initial configurations and the Airy1 process, with Alexei Borodin and Michael Prähofer, Int. Math. Res. Papers 2007, rpm002 (2007). | |
| • | Fluctuation properties of the TASEP with periodic initial configuration, with Alexei Borodin, Michael Prähofer and Tomohiro Sasamoto, J. Stat. Phys. 129 (2007), 1055-1080. | |
| • | Domino tilings and the six-vertex model at its free fermion point, with Herbert Spohn, J. Phys. A: Math. Gen. 39 (2006), 10297-10306. | |
| 2005 | ||
| • | Scaling Limit for the Space-Time Covariance of the Stationary Totally Asymmetric Simple Exclusion Process, with Herbert Spohn, Comm. Math. Phys. 265 (2006), 1-44. | |
| • | A determinantal formula for the GOE Tracy-Widom distribution, with Herbert Spohn, J. Phys. A, Math. Gen. 38 (2005), L557-L561. | |
| 2004 | ||
| • | Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues, Comm. Math. Phys. 252 (2004), 77-109. | |
| 2003 | ||
| • | Constrained Brownian motion: fluctuations away from circular and parabolic barriers, with Herbert Spohn, Ann. Probab. 33 (2005), 1302-1325. | |
| • | Fluctuations of an Atomic Ledge Bordering a Crystalline Facet, with Michael Prähofer and Herbert Spohn, Phys. Rev. E, Rapid Communications 69 (2004), 035102(R). | |
| 2002 | ||
| • | Step fluctuations for a faceted crystal, with Herbert Spohn, J. Stat. Phys. 113 (2003), 1-46. | |
| • | Information Loss in Coarse Graining of Polymer Configurations via Contact Matrices, with Joel L. Lebowitz, J. Phys. A: Math. Gen. 36 (2003), 5719-5730; Appendix with the complete mathematical proof of Proposition 4.2 [ps]. | |
| • | Last Branching in Directed Last Passage Percolation, with Herbert Spohn, Markov Process and Related Fields 9 (2003), 323-339. | |
Books & co.
| • | Reflected Brownian motions in the KPZ universality class, Springer Brief, with Herbert Spohn and Thomas Weiss available here. | |
| • | Random Growth Models, with Herbert Spohn arXiv:1003.0881 (2010). One chapter of the The Oxford Handbook of Random Matrix Theory. | |
| • | Dimers and orthogonal polynomials: connections with random matrices, Extended lecture notes of the minicourse at IHP (5-7 Oct. 2009), arXiv:1004.3212 (2010). Published as part of Dimer Models and Random Tilings, Panoramas et synthèses 45 (2015), B. de Tilière, P. Ferrari, edited by C. Boutillier, N. Enriquez. | |
Reviews
| • | From interacting particle systems to random matrices, Contribution to StatPhys24 special issue, J. Stat. Mech. (2010), P10016. | |
| • | The universal Airy1 and Airy2 processes in the Totally Asymmetric Simple Exclusion Process, In Proceeding ''Integrable Systems and Random Matrices: In Honor of Percy Deift'', Contemporary Mathematics 458 (2008), 321-332. | |
| • | One-dimensional stochastic growth and Gaussian ensembles of random matrices, with Michael Prähofer; In proceedings of ''Inhomogeneous Random Systems 2005'', Markov Processes Relat. Fields http://math-mprf.org/journal/articles/id1077/12 (2006), 203-234. | |
Short reviews and proceedings
| • | Limit distributions for KPZ growth models with spatially homogeneous random initial conditions, in Oberwolfach Report 13 (2016), 3031–3086. | |
| • | Height fluctuations for the stationary KPZ equation, in Oberwolfach Report 11 (2014), 1560-1563. | |
• | Anomalous shock fluctuations in TASEP, in Oberwolfach Report 10 (2013), 3059-3062. | |
| • | Interacting particle systems and random matrices, in Oberwolfach Report 7 (2010), 2915–2918. | |
| • | Around the universality of the Airy1 process, in Oberwolfach Report 4 (2007), 2484-2486. | |
| • | The Airy1 and Airy2 processes in the TASEP, in Oberwolfach Report 3 (2006), 2473-2476. | |
| • | Stochastic growth in one dimension and Gaussian multi-matrix models, with Michael Prähofer and Herbert Spohn; In proceedings of the ''14th International Congress on Mathematical Physics'' (ICMP 2003), World Scientific (J.-C. Zambrini ed.) (2006), 404-411. | |
| • | Mark Adler, Brandeis University, USA |
| • | Jinho Baik, University of Michigan, USA |
| • | Gerard Barkema, Universiteit Utrecht, The Netherlands |
| • | Alexei Borodin, MIT, USA |
| • | Folkmar Bornemann, TU-Munich, Germany |
| • | Sunil Chhita, Durham University, UK |
| • | Ivan Corwin, Columbia University,USA |
| • | René Frings, Bonn University, Germany |
| • | Joel L. Lebowitz, Rutgers University, USA |
| • | Peter Nejjar, ENS Paris, France |
| • | Sandrine Péché, Université Paris Diderot, France |
| • | Michael Prähofer, TU-Munich, Germany |
| • | Tomohiro Sasamoto, Tokyo Institute of Technology, Japan |
| • | Herbert Spohn, TU-Munich, Germany |
| • | Pierre Van Moerbeke, Université Catholique de Louvain, Belgium |
| • | Bálint Vető, Hungarian Academy of Sciences, Hungary |
| • | Jon Warren, Warwick University, England |
| • | Thomas Weiss, TU-Munich, Germany |
Other works
| • | Random matrices and determinantal processes, contributo del ''Colloquio di matematica'', Note di Matematica e Fisica, CERFIM 12 (2003), 67-83. | |
| • | Dall'informatica alla geometria ortogonale passando per l'algebra universale, con R. Moresi, Note di Matematica e Fisica, CERFIM 11 (2000), 115-140. | |
| • | Contact Matrices for Random Walks, diploma thesis supervised by Joel L. Lebowitz. | |
| • | Notes basées sur le cours du Prof. Amrein's (Unige): Théorie des groupes pour la physique. | |
| • | Project d'ingénieur: a computer program for the computation of lattices. | |
| • | Project STS sur les nombres complexes. | |