Aptekarev, A. I.; Dudnikova, T. V.; Tulyakov, D. N. Volume conjecture and WKB asymptotics. (English) Zbl 1505.57002 Lobachevskii J. Math. 43, No. 8, 2057-2079 (2022). Reviewer: Valeriano Aiello (Genève) MSC: 57K10 57K16 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Lobachevskii J. Math. 43, No. 8, 2057--2079 (2022; Zbl 1505.57002) Full Text: DOI
Aptekarev, A. I.; Belega, E. D.; Dehesa, J. S. Rydberg multidimensional states: Rényi and Shannon entropies in momentum space. (English) Zbl 1519.81053 J. Phys. A, Math. Theor. 54, No. 3, Article ID 035305, 19 p. (2021). MSC: 81P17 81V45 94A17 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Phys. A, Math. Theor. 54, No. 3, Article ID 035305, 19 p. (2021; Zbl 1519.81053) Full Text: DOI
Aptekarev, A. I.; Dudnikova, T. V.; Tulyakov, D. N. Recurrence relations and asymptotics of colored Jones polynomials. (English) Zbl 1494.57014 Lobachevskii J. Math. 42, No. 11, 2580-2595 (2021). Reviewer: Hitoshi Murakami (Sendai) MSC: 57K14 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Lobachevskii J. Math. 42, No. 11, 2580--2595 (2021; Zbl 1494.57014) Full Text: DOI
Aptekarev, A. I.; Draux, A.; Tulyakov, D. N. On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces. (English) Zbl 1400.41022 Lobachevskii J. Math. 39, No. 5, 609-622 (2018). MSC: 41A44 26D05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Lobachevskii J. Math. 39, No. 5, 609--622 (2018; Zbl 1400.41022) Full Text: DOI
Aptekarev, A. I.; Lapik, M. A.; Orlov, Yu. N. Asymptotic behavior of the spectrum of combination scattering at Stokes phonons. (English. Russian original) Zbl 1387.81398 Theor. Math. Phys. 193, No. 1, 1480-1497 (2017); translation from Teor. Mat. Fiz. 193, No. 1, 84-103 (2017). MSC: 81V80 81Q05 81U10 82D20 81V70 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Theor. Math. Phys. 193, No. 1, 1480--1497 (2017; Zbl 1387.81398); translation from Teor. Mat. Fiz. 193, No. 1, 84--103 (2017) Full Text: DOI
Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials. (English. Russian original) Zbl 1379.42011 Russ. Math. Surv. 72, No. 3, 389-449 (2017); translation from Usp. Mat. Nauk 72, No. 3, 3-64 (2017). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 42C05 31A99 41A21 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Russ. Math. Surv. 72, No. 3, 389--449 (2017; Zbl 1379.42011); translation from Usp. Mat. Nauk 72, No. 3, 3--64 (2017) Full Text: DOI arXiv
Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. Strong asymptotics for the Pollaczek multiple orthogonal polynomials. (English. Russian original) Zbl 1337.33006 Dokl. Math. 92, No. 3, 709-713 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393-397 (2015). Reviewer: Peter Massopust (München) MSC: 33C47 15B52 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Dokl. Math. 92, No. 3, 709--713 (2015; Zbl 1337.33006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393--397 (2015) Full Text: DOI
Aptekarev, Alexander I.; Yattselev, Maxim L. Padé approximants for functions with branch points – strong asymptotics of Nuttall-Stahl polynomials. (English) Zbl 1339.41020 Acta Math. 215, No. 2, 217-280 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A21 30B40 30C85 31A15 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{M. L. Yattselev}, Acta Math. 215, No. 2, 217--280 (2015; Zbl 1339.41020) Full Text: DOI arXiv
Aptekarev, A.; Arvesú, J. Asymptotics for multiple Meixner polynomials. (English) Zbl 1331.33028 J. Math. Anal. Appl. 411, No. 2, 485-505 (2014). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{A. Aptekarev} and \textit{J. Arvesú}, J. Math. Anal. Appl. 411, No. 2, 485--505 (2014; Zbl 1331.33028) Full Text: DOI arXiv
Aptekarev, A. I.; Tulyakov, D. N. The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations. (English. Russian original) Zbl 1317.39001 Sb. Math. 205, No. 12, 1696-1719 (2014); translation from Mat. Sb. 205, No. 12, 17-40 (2014). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 39A06 39A22 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{D. N. Tulyakov}, Sb. Math. 205, No. 12, 1696--1719 (2014; Zbl 1317.39001); translation from Mat. Sb. 205, No. 12, 17--40 (2014) Full Text: DOI
Aptekarev, A. I.; Lysov, V. G. [Bogolyubskii, A. I.] Asymptotic \(\gamma\)-forms generated by multiple orthogonal polynomials. (English. Russian original) Zbl 1317.33004 Proc. Steklov Inst. Math. 272, Suppl. 2, S168-S173 (2011); translation from Sovrem. Probl. Mat. 9, 55-62 (2007). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 33C45 41A60 30E10 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{V. G. Lysov}, Proc. Steklov Inst. Math. 272, S168--S173 (2011; Zbl 1317.33004); translation from Sovrem. Probl. Mat. 9, 55--62 (2007) Full Text: DOI
Aptekarev, A. I.; Kuijlaars, A. B. J. Hermite-Padé approximations and multiple orthogonal polynomial ensembles. (English. Russian original) Zbl 1243.41004 Russ. Math. Surv. 66, No. 6, 1133-1199 (2011); translation from Usp. Mat. Nauk 66, No. 6, 123-190 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A21 30C15 31A15 42C05 60B20 60G17 60G55 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{A. B. J. Kuijlaars}, Russ. Math. Surv. 66, No. 6, 1133--1199 (2011; Zbl 1243.41004); translation from Usp. Mat. Nauk 66, No. 6, 123--190 (2011) Full Text: DOI
Aptekarev, A. I.; Lysov, V. G.; Tulyakov, D. N. Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials. (English. Russian original) Zbl 1216.60008 Sb. Math. 202, No. 2, 155-206 (2011); translation from Mat. Sb. 202, No. 1, 3-56 (2011). MSC: 60B20 42C05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Sb. Math. 202, No. 2, 155--206 (2011; Zbl 1216.60008); translation from Mat. Sb. 202, No. 1, 3--56 (2011) Full Text: DOI
Aptekarev, A. I.; Lysov, V. G. Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants. (English. Russian original) Zbl 1188.42009 Sb. Math. 201, No. 2, 183-234 (2010); translation from Mat. Sb. 201, No. 2, 29-78 (2010). MSC: 42C05 41A21 30E25 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{V. G. Lysov}, Sb. Math. 201, No. 2, 183--234 (2010; Zbl 1188.42009); translation from Mat. Sb. 201, No. 2, 29--78 (2010) Full Text: DOI
Aptekarev, A. I.; Dehesa, J. S.; Martinez-Finkelshtein, A. Asymptotics of orthogonal polynomial’s entropy. (English) Zbl 1183.94013 J. Comput. Appl. Math. 233, No. 6, 1355-1365 (2010). Reviewer: Pushpa N. Rathie (Brasilia) MSC: 94A17 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Comput. Appl. Math. 233, No. 6, 1355--1365 (2010; Zbl 1183.94013) Full Text: DOI
Aptekarev, Alexander I.; Kuijlaars, Arno B. J.; Van Assche, Walter Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0). (English) Zbl 1156.41004 IMRP, Int. Math. Res. Pap. 2008, Article ID rpm007, 128 p. (2008). MSC: 41A21 30E10 30E15 41A20 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., IMRP, Int. Math. Res. Pap. 2007, Article ID rpm007, 128 p. (2008; Zbl 1156.41004) Full Text: DOI arXiv
Aptekarev, A. I.; Van Assche, W. Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. (English) Zbl 1061.30035 J. Approximation Theory 129, No. 2, 129-166 (2004). Reviewer: Arno Kuijlaars (Leuven) MSC: 30E25 30E10 30E15 41A21 41A60 42C05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{W. Van Assche}, J. Approx. Theory 129, No. 2, 129--166 (2004; Zbl 1061.30035) Full Text: DOI
Aptekarev, A. I. Strong asymptotics of multiple orthogonal polynomials for Nikishin systems. (English. Russian original) Zbl 0957.42015 Sb. Math. 190, No. 5, 631-669 (1999); translation from Mat. Sb. 190, No. 5, 3-44 (1999). Reviewer: A.Lukashov (Saratov) MSC: 42C05 41A21 33C45 PDFBibTeX XMLCite \textit{A. I. Aptekarev}, Sb. Math. 190, No. 5, 631--669 (1999; Zbl 0957.42015); translation from Mat. Sb. 190, No. 5, 3--44 (1999) Full Text: DOI