Andrei Prokhorov
University of Michigan
College of Literature, Science and the Arts
Department of Mathematics
530 Church Street, office 1847
48109, Ann Arbor, MI, USA
andreip(at)umich(dot)edu
Refereed publications
E. C. Bailey, S. Bettin, G. Blower, J. B. Conrey, A. Prokhorov, M. O. Rubinstein, N. C. Snaith, "Mixed moments of characteristic polynomials of random unitary matrices" , Journal of Mathematical Physics, 60:8 (2019), 083509; arxiv;journal;MathSciNet
T. Bothner, A. Its, A. Prokhorov, "On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential" Advances in Mathematics, Volume 345, (2019), 483-551; ; arxiv;journal;MathSciNet
A. Its, O. Lisovyy, A. Prokhorov, "Monodromy dependence and connection formulae for isomonodromic tau functions", Duke Math. J. 167:7 (2018), 1347-1432; arxiv;journal;MathSciNet
A. Prokhorov, N. Filonov, "The Maxwell operator with periodic coefficients in a cylinder", Algebra i Analiz, 29:6 (2017), 182-196. English translation at St. Petersburg Math. J. 29 (2018), 997-1006; arxiv;journal;MathSciNet
A. Its, A. Prokhorov, "Connection problem for the tau-function of the Sine-Gordon reduction of Painlevé-III equation via the Riemann-Hilbert approach" , IMRN, 2016:22, (2016), 6856-6883; arxiv;journal;MathSciNet
A. Prokhorov, N. Filonov, "Regularity of electromagnetic fields in convex domains", Zap. Nauchn. Sem. POMI, 425, (2014), 55-85; English translation at J Math Sci 210:6 (2015), 793-813; arxiv;journal;MathSciNet
Non-refereed publications
A. Its, A. Prokhorov, "On Some Hamiltonian Properties of the Isomonodromic Tau Functions" , Reviews in Mathematical Physics 30:7, (2018); arxiv;journal;MathSciNet
Preprints
A. Its, A. Prokhorov, "On β = 6 Tracy-Widom distribution and the second Calogero-Painlevé system" , arXiv:2010.06733 [nlin.SI], (2020); link;
J, Baik, A. Prokhorov, G. L. F. Silva, "Differential equations for the KPZ and periodic KPZ fixed points" , arXiv:2208.11638 [math.PR], (2022); link;
Thesis
A. Prokhorov, "Connection Problem for Painlevé Tau Functions", (2019), IUPUI; link;