Tulyakov Dmitrii Nikolaevich

Publications in Math-Net.Ru

1. Plancherel–Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations
   
   Izv. RAN. Ser. Mat., 86:1 (2022),  36–97
2. Volume conjecture and WKB asymptotics
   
   Lobachevskii J. Math., 43:8 (2022),  2056–2079
3. Nikishin and Anjelesko vector equilibrium problems and multidimensional Toda lattice. The limiting case when the second interval is a point
   
   Keldysh Institute preprints, 2018, 275, 12 pp.
4. Asymptotical basis of solutions of $q$-recurrence relations outside of the zone of clustering eigenvalues
   
   Keldysh Institute preprints, 2018, 159, 24 pp.
5. On Asymptotics of the Sharp Constants of the Markov–Bernshtein Inequalities for the Sobolev Spaces
   
   Lobachevskii J. Math., 39:5 (2018),  609–622
6. Hesse Parametrization of a Spectral Curve
   
   Mat. Zametki, 104:5 (2018),  767–770
7. On the supports of vector equilibrium measures in the Angelesco problem with nested intervals
   
   Trudy Mat. Inst. Steklova, 301 (2018),  192–208
8. On expanding neighborhoods of local universality of Gaussian unitary ensembles
   
   Trudy Mat. Inst. Steklova, 301 (2018),  182–191
9. Zero distribution of scaled Hermite polynomials near zero and Gauss unitary ensembles
   
   Keldysh Institute preprints, 2017, 129, 11 pp.
10. On asymptotics of the sharp constants of the Markov–Bernshtein inequalities for the Sobolev spaces with coherent weights
    
    Keldysh Institute preprints, 2017, 059, 20 pp.
11. The Hesse coordinates for an algebraic cubic curve
    
    Keldysh Institute preprints, 2017, 054, 16 pp.
12. High-dimensional oscillators and Laguerre polynomials
    
    Uspekhi Mat. Nauk, 72:5(437) (2017),  189–190
13. On a Vector Potential-Theory Equilibrium Problem with the Angelesco Matrix
    
    Trudy Mat. Inst. Steklova, 298 (2017),  185–215
14. Nuttall's Abelian integral on the Riemann surface of the cube root of a polynomial of degree 3
    
    Izv. RAN. Ser. Mat., 80:6 (2016),  5–42
15. On the vector potential theory problem with the Angelesco matrix
    
    Keldysh Institute preprints, 2016, 110, 36 pp.
16. On the calculation of 2D compressible filtration flows by the ‘compressible streamlines’ methodology
    
    Keldysh Institute preprints, 2016, 064, 12 pp.
17. An efficient approach to the protein structure alignment problem
    
    Keldysh Institute preprints, 2015, 091, 15 pp.
18. Asymptotics of $L_p$-norms of Laguerre polynomials and entropic moments of $D$-dimensional oscillator
    
    Keldysh Institute preprints, 2015, 041, 15 pp.
19. On the Parametrization of a Certain Algebraic Curve of Genus 2
    
    Mat. Zametki, 98:5 (2015),  782–785
20. The Saturation Regime of Meixner Polynomials and the Discrete Bessel Kernel
    
    Mat. Zametki, 98:1 (2015),  147–151
21. Asymptotics of $L_p$-norms of Laguerre polynomials
    
    Uspekhi Mat. Nauk, 70:5(425) (2015),  177–178
22. V.A. Steklov's problem of estimating the growth of orthogonal polynomials
    
    Trudy Mat. Inst. Steklova, 289 (2015),  83–106
23. Abelian integral of Nuttall on the Riemann surface of the cubic root of the third degree polynomial
    
    Keldysh Institute preprints, 2014, 015, 25 pp.
24. The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations
    
    Mat. Sb., 205:12 (2014),  17–40
25. Fejer convolutions for an extremal problem in the Steklov class
    
    Keldysh Institute preprints, 2013, 076, 19 pp.
26. Main term of asymptotics of the solutions of the four-terms recurrence relations
    
    Keldysh Institute preprints, 2013, 001, 20 pp.
27. Geometry of Hermite-Padé approximants for system of functions $\{f,f^2\}$ with three branch points
    
    Keldysh Institute preprints, 2012, 077, 25 pp.
28. Asymptotics of $L_p$-norms of Hermite polynomials
    
    Keldysh Institute preprints, 2012, 070, 22 pp.
29. Asymptotics of Meixner polynomials and Christoffel-Darboux kernels
    
    Tr. Mosk. Mat. Obs., 73:1 (2012),  87–132
30. Asymptotic regimes in saturation zones for the C-D-kernels for an ensemble of Meixner orthogonal polynomials
    
    Uspekhi Mat. Nauk, 66:1(397) (2011),  181–182
31. Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials
    
    Mat. Sb., 202:2 (2011),  3–56
32. Plancherel-Rotach type asymptotics for solutions of linear recurrence relations with rational coefficients
    
    Mat. Sb., 201:9 (2010),  111–158
33. A System of Recurrence Relations for Rational Approximations of the Euler Constant
    
    Mat. Zametki, 85:5 (2009),  782–787
34. Difference equations having bases with powerlike growth which are perturbed by a spectral parameter
    
    Mat. Sb., 200:5 (2009),  129–158
35. Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source
    
    TMF, 159:1 (2009),  34–57
36. Three-sheeted Riemann surfaces of genus 0 with fixed projections of the branch points
    
    Keldysh Institute preprints, 2007, 013, 21 pp.
37. On a Property of Conditionally Convergent Series
    
    Mat. Zametki, 81:2 (2007),  317–320
38. On Some Procedures for Finding Asymptotic Expansions of Solutions of Difference Equations
    
    Sovrem. Probl. Mat., 9 (2007),  45–53
39. Four-Termed Recurrence Relations for $\gamma$-Forms
    
    Sovrem. Probl. Mat., 9 (2007),  37–43
40. Local asymptotics of the ratio of orthogonal polynomials in the neighbourhood of an end-point of the support of the orthogonality measure
    
    Mat. Sb., 192:2 (2001),  139–160
41. A remark on an inverse problem for orthogonal polynomials
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 1,  13–17
42. On the exact rate of rational approximations of $e^{-x}$ on $[0;\infty)$ by inverse Taylor sums
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 2,  9–14


43. Alexander Ivanovich Aptekarev (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 70:5(425) (2015),  183–190