Andrei Prokhorov
University of Michigan
College of Literature, Science and the Arts
Department of Mathematics
530 Church Street, office 1846
48109, Ann Arbor, MI, USA
andreip(at)umich(dot)edu
Refereed publications
A. Barhoumi, O. Lisovyy, P. D. Miller, A. Prokhorov, "Painlevé-III Monodromy Maps Under the D6→D8 Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions", SIGMA 20 (2024), 019, 77 pages; journal;
J. Baik, A. Prokhorov, and G. L. F. Silva. "Differential Equations for the KPZ and Periodic KPZ Fixed Points". Comm. Math. Phys. 401.2 (2023), pp. 1753-1806. arxiv;journal;MathSciNet;
E. C. Bailey, S. Bettin, G. Blower, J. B. Conrey, A. Prokhorov, M. O. Rubinstein, and N. C. Snaith. "Mixed moments of characteristic polynomials of random unitary matrices". J. Math. Phys. 60.8 (2019), pp. 083509. arxiv;journal;MathSciNet;
T. Bothner, A. Its, and A. Prokhorov. "On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential". Adv. Math. 345 (2019), pp. 483-551. arxiv;journal;MathSciNet;
A. Its, O. Lisovyy, and A. Prokhorov. "Monodromy dependence and connection formulae for isomonodromic tau functions". Duke Math. J. 167.7 (2018), pp. 1347-1432. arxiv;journal;MathSciNet;
A. Prokhorov and N. Filonov. "The Maxwell operator with periodic coefficients in a cylinder". Algebra i Analiz 29.6 (2017), pp. 182-196. arxiv;journal;MathSciNet;
A. Its and A. Prokhorov. "Connection problem for the tau-function of the Sine-Gordon reduction of Painlevé-III equation via the Riemann-Hilbert approach". Int. Math. Res. Not. IMRN 22 (2016), pp. 6856-6883. arxiv;journal;MathSciNet;
A. Prokhorov and N. Filonov. "Regularity of electromagnetic fields in convex domains". J. Math. Sci. 210.6 (2015), pp. 793-813. arxiv;journal;MathSciNet;
Non-refereed publications
A. Its and A. Prokhorov. "On Some Hamiltonian Properties of the Isomonodromic Tau Functions". Rev. Math. Phys. 30.7 (2018), pp. 1840008. 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;
Thesis
A. Prokhorov, "Connection Problem for Painlevé Tau Functions", (2019), IUPUI. link;pdf;MathSciNet;