University of Toronto St. George Campus - Mathematics
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Product-form invariant measures for Brownian motion with drift satisfying a skew-symmetry type condition
Neil O'Connell
ALEA 11 (2014)
307 - 329
Product-form invariant measures for Brownian motion with drift satisfying a skew-symmetry type condition
Electron. J. Probab. 17 (2012) no. 34
1-25\nISSN: 1083-6489
DOI: 10.1214/EJP.v17-2007
Large deviations for non-crossing partitions
Daniel Remenik
Jeremy Quastel
We obtain exact formulas for moments and generating functions of the height function of the asymmetric simple exclusion process at one spatial point
starting from special initial data in which every positive even site is initially occupied.
Exact formulas for random growth with half-flat initial data
(with Nicos Georgiou)\nWe study the sequence alignment problem and its independent version
the discrete Hammersley process with an exploration penalty. We obtain rigorous upper bounds for the number of optimality regions in both models near the soft edge. At zero penalty the independent model becomes an exactly solvable model and we identify cases for which the law of the last passage time converges to a Tracy-Widom law.
Optimality Regions and Fluctuations for Bernoulli Last Passage Models
(with John Harnad)\n\nWe study semiclassical and zero temperature asymptotics of quantum weighted double Hurwitz numbers.
Asymptotics of quantum weighted Hurwitz numbers
Neil O'Connell
Electron. J. Probab. 20 (2015)
no. 25
Tracy-Widom asymptotics for a random polymer model with gamma-distributed weights
Bálint Virág
Duncan Duvergne
The conjectured limit of last passage percolation is a scale-invariant
independent
stationary increment process with respect to metric composition. We prove this for Brownian last passage percolation. We construct the Airy sheet and characterize it in terms of the Airy line ensemble. We also show that the last passage geodesics converge to random functions with Hölder-2/3− continuous paths. This work completes the construction of the central object in the Kardar-Parisi-Zhang universality class
the directed landscape.
The directed landscape
Functionals of the Brownian bridge
Daniel Remenik
Jeremy Quastel
We obtain a Fredholm Pfaffian formula for an appropriate generating function of the height function of the asymmetric simple exclusion process starting from flat (periodic) initial data. Formal asymptotics lead to the GOE Tracy‐Widom distribution.
A Pfaffian Representation for flat ASEP
Janosch
Ortmann
University of Warwick
Concordia University
Centre de recherches mathématiques (CRM)
University of Toronto
École des sciences de la gestion (ESG UQAM)
Montreal
Canada Area
Horizon Postdoctoral Fellow
Concordia University
University of Toronto
Teaching Assistant
Taught undergraduate exercise classes for various courses (all undergraduate levels) and gave small-group (4-5 students) supervisions (tutorials) to first and second year undergraduates
University of Warwick
Early Career Fellow
Fellowship from the Institute for Advanced Study (IAS) at Warwick
University of Warwick
PhD student
Probability theory: random matrix theory
interacting particle systems
University of Warwick
Centre de recherches mathématiques (CRM)
Montreal
Canada Area
Postdoctoral Fellow
Montreal
Canada Area
Research focus: probabilistic and machine learning methods to support the decision making process
Assistant Professor
École des sciences de la gestion (ESG UQAM)