Antoine Dahlqvist

Welcome to my homepage! I am Lecturer at the University of Sussex in the group of Probability and Statistics.

University of Sussex, School of Mathematical and Physical Sciences, Pevensey 3 Building, Brighton, UK E-mail: a.dahlqvist@sussex.ac.uk Office: 5 C27

Probability, Random matrices,  two dimensional Yang-Mills measure, free probability, stochastic analysis, statistical mechanics, combinatorics, representation theory.

• Freeness of type B and conditional freeness for random matrices, with Guillaume Cébron and Franck Gabriel, arXiv:2205.01926.
  
• Large N limit of the Yang-Mills measure on compact surfaces II: Makeenko-Migdal equations and planar master field, with T. Lemoine, arXiv:2201.05886.
  
• Large N limit of Yang-Mills partition function and Wilson loops on compact surfaces, with T. Lemoine, arXiv:2201.05882.
  
• Integer moments of complex Wishart matrices and Hurwitz numbers, with F.D. Cunden and N. O'Connell, in Ann. de l'inst. Poincaré D Combinatorics, arXiv:1809.10033.
  
• Freeness over the diagonal for large random matrices, with A. Benson, G. Cébron, F. Gabriel and C. Male, in Ann. of Probability, arXiv:1805.07045.
  
• Yang-Mills measure and the master field on the sphere, with James Norris, Commun. Math. Phys. 2020,  arXiv:1703.10578.
• The parabolic Anderson model on Riemann surfaces, with Joscha Diehl and Bruce Driver, Probability Theory and Related Fields, arXiv:1702.02965.
  
• The generalized master fields, with Guillaume Cébron and Franck Gabriel, Journal of Geometry and Physics, arXiv:1601.00214.
  
• Universal constructions for spaces of traffics, with Guillaume Cébron and Camille Male, arXiv:1601.00168.
  
• The spectral edge of unitary Brownian motion, with Benoit Collins and Todd Kemp,  Probability Theory and Related Fields, arXiv:1502.06186.
• Free energies and fluctuations for the unitary Brownian Motion. Commun. Math. Phys. 2016, 1--50,   arXiv:1409.7793.
• Integration formula for Brownian motion on classical compact Lie groups.  Ann. Inst. Henri Poincaré Probab. Stat., arXiv:1212.5107
• The strong interaction limit of continuous-time weakly self-avoiding walk, with D.C. Brydges and G. Slade, in Probability in Complex Physical Systems: In Honour of Erwin Bolthausen and Jürgen Gärtner, eds. J-D. Deuschel et al., Springer Proceedings in Mathematics 11:275--287, (2012).

A PhD Studentship on the above topics is currently available at the University of Sussex. Students with a strong background in Probability, Combinatorics or Geometry will be considered. Enquiries can be sent at the above email address.

• At Sussex: Random Processes ('19-), Advanced PDE (21-).
  
• At UCD ('17): Introduction to random matrices and free probability.
  
• Supervisions at Cambridge University ('15-17):  Probability and measure, Advanced probability.
  
• TA classes at Paris 6 ('10-13): Measure theory and integration, complex analysis, a prep. to CAPES teaching degree.
  

• Brighton, Sussex U., September 17-19 2019: Probability, Mathematical Physics and Applications ,   organised together with Nick Simm and Minmin Wang.
• Dublin, UCD, June 18-22 2018:  Randomness and Symmetry,   organised together with Fabio Deelan Cunden and Neil O'Connell.
• Together with G. Cébron, F. Gabriel and C. Male, we organized the conference  Distribution symmetries and independances, taking place at Bordeaux U. on November 16 & 17 2017.