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;