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Research

Publications: Dr Mykhailo Poplavskyi

Poplavskyi M, Schehr G ( 2018 ) . Exact Persistence Exponent for the 2D-Diffusion Equation and Related Kac Polynomials . Physical Review Letters vol. 121 , ( 15 ) 150601 - 150601 .
Garrod B, Poplavskyi M, Tribe RP, Zaboronski OV ( 2018 ) . Examples of Interacting Particle Systems on Z as Pfaffian Point Processes: Annihilating and Coalescing Random Walks . Annales Henri Poincare vol. 19 , ( 12 ) 3635 - 3662 .
Poplavskyi M, Tribe R, Zaboronski O ( 2017 ) . On the distribution of the largest real eigenvalue for the real ginibre ensemble . Annals of Applied Probability vol. 27 , ( 3 ) 1395 - 1413 .
Kanzieper E, Poplavskyi M, Timm C, Tribe R, Zaboronski O ( 2016 ) . What is the probability that a large random matrix has no real eigenvalues? . Annals of Applied Probability vol. 26 , ( 5 ) 2733 - 2753 .
Borodin A, Poplavskyi M, Sinclair CD, Tribe R, Zaboronski O ( 2016 ) . Erratum to: The Ginibre Ensemble of Real Random Matrices and its Scaling Limits (Communications in Mathematical Physics, (2009), 291, (177-224), 10.1007/s00220-009-0874-5) . Communications in Mathematical Physics vol. 346 , ( 3 ) 1051 - 1055 .
Poplavskyi M ( 2012 ) . Universality at the edge for unitary matrix models . Journal of Mathematical Physics, Analysis, Geometry vol. 8 , ( 4 ) 367 - 392 .
Poplavskyi M ( 2012 ) . Asymptotic behavior of the Verblunsky coefficients for the OPUC with a varying weight . Journal of Mathematical Physics vol. 53 , ( 4 )
Poplavskyi M ( 2009 ) . Bulk universality for unitary matrix models . Journal of Mathematical Physics, Analysis, Geometry vol. 5 , ( 3 ) 245 - 274 .