Publications

Refereed Publications

  1. H. Pan, A. Prokhorov, "Asymptotic properties of special function solutions of the Painlevé-III equation for fixed parameters", Stud. Appl. Math. 154 (2025), no. 4, Paper No. e70051, 32 pp.; arxiv; journal; MathSciNet;
  2. H. Desiraju, A. R. Its, A. Prokhorov, "Nonlinear steepest descent on a torus: A case study of the Landau-Lifshitz equation", Nonlinearity 38 (2025), no. 4, Paper No. 045023, 51 pp.; arxiv; journal; MathSciNet;
  3. 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;
  4. 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;
  5. 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;
  6. 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;
  7. 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;
  8. 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;
  9. 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;
  10. A. Prokhorov and N. Filonov. "Regularity of electromagnetic fields in convex domains". J. Math. Sci. 210.6 (2015), pp. 793-813. arxiv; journal; MathSciNet;

Submitted to Journal

  • H. Desiraju, P. Ghosal, A. Prokhorov, "Proof of Zamolodchikov conjecture for semi-classical conformal blocks on torus", arXiv:2407.05839 [math.ph]; arXiv

Non-refereed Publications and Preprints

  • A. Its, A. Prokhorov, "On β = 6 Tracy-Widom distribution and the second Calogero-Painlevé system" , arXiv:2010.06733 [nlin.SI], (2020); arXiv
  • A. Its and A. Prokhorov. "On Some Hamiltonian Properties of the Isomonodromic Tau Functions". Rev. Math. Phys. 30.7 (2018), pp. 1840008. arXiv

Thesis

  • A. Prokhorov, "Connection Problem for Painlevé Tau Functions", (2019), IUPUI. link | pdf