Persons: Rakhmanov, Evguenii Andreevich

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Rakhmanov, Evguenii Andreevich

Statistics Math-Net.Ru
in MathSciNet:	51 (51)
in zbMATH:	47 (47)
in Web of Science:	35 (35)
in Scopus:	34 (34)

Professor

Doctor of physico-mathematical sciences (1978)

E-mail:

Keywords:

approximation theory, orthogonal polynomials.

https://www.mathnet.ru/eng/person8460

List of publications on Google Scholar

https://zbmath.org/authors/ai:rakhmanov.evgenii-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/212767

List of scientific publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2022
1.	E. A. Rakhmanov, S. P. Suetin, Tr. Mosk. Mat. Obs., 83, no. 2, MCCME, M., 2022, 319–344

2018
2.	E. A. Rakhmanov, “Zero distribution for Angelesco Hermite–Padé polynomials”, Russian Math. Surveys, 73:3 (2018), 457–518

2016
3.	Andrei Martínez-Finkelshtein, Evguenii A. Rakhmanov, Sergey P. Suetin, “Asymptotics of type I Hermite–Padé polynomials for semiclassical functions”, Contemp. Math., 661, 2016, 199–228 , arXiv: 1502.01202	8 ^[x]
4.	E. A. Rakhmanov, “The Gonchar-Stahl $\rho^2$-theorem and associated directions in the theory of rational approximations of analytic functions”, Sb. Math., 207:9 (2016), 1236–1266
5.	A. Martinez-Finkelshtein, E. A. Rakhmanov, “Do Orthogonal Polynomials Dream of Symmetric Curves?”, Found Comput Math, 16 (2016), 1697—1736

2015
6.	A. Martínez-Finkelshtein, R. Orive, E. A. Rakhmanov, “Phase transitions and equilibrium measures in random matrix models”, Comm. Math. Phys., 333:3 (2015), 1109–1173	8 ^[x]

2013
7.	A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “A differential equation for Hermite–Padé polynomials”, Russian Math. Surveys, 68:1 (2013), 183–185
8.	E. A. Rakhmanov, S. P. Suetin, “The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system”, Sb. Math., 204:9 (2013), 1347–1390

2012
9.	E. A. Rakhmanov, “Orthogonal polynomials and $S$-curves”, Recent advances in orthogonal polynomials, special functions and their applications, 11th International Symposium (August 29–September 2, 2011 Universidad Carlos III de Madrid Leganés, Spain), Contemp. Math., 578, eds. J. Arvesú and G. López Lagomasino, Amer. Math. Soc., Providence, RI, 2012, 195–239	33 ^[x]
10.	A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Heine, Hilbert, Padé, Riemann, and Stieltjes: a John Nuttall's work 25 years later”, Recent advances in orthogonal polynomials, special functions and their applications, 11th International Symposium (August 29–September 2, 2011 Universidad Carlos III de Madrid Leganés, Spain), Contemp. Math., 578, eds. J. Arvesú and G. López Lagomasino, Amer. Math. Soc., Providence, RI, 2012, 165–193	17 ^[x]
11.	E. A. Rakhmanov, S. P. Suetin, “Asymptotic behaviour of the Hermite–Padé polynomials of the 1st kind for a pair of functions forming a Nikishin system”, Russian Math. Surveys, 67:5 (2012), 954–956

2011
12.	A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium measure and the $S$-property of a stationary compact set”, Russian Math. Surveys, 66:1 (2011), 176–178
13.	E. A. Rakhmanov, “The asymptotics of Hermite-Padé polynomials for two Markov-type functions”, Sb. Math., 202:1 (2011), 127–134
14.	A. Martínez-Finkelshtein, E. A. Rakhmanov, “Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials”, Comm. Math. Phys., 302:1 (2011), 53–111	67 ^[x]
15.	A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “Padé–Chebyshev approximants of multivalued analytic functions, variation of equilibrium energy, and the $S$-property of stationary compact sets”, Russian Math. Surveys, 66:6 (2011), 1015–1048
16.	A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium energy and the $S$-property of stationary compact sets”, Sb. Math., 202:12 (2011), 1831–1852

2010
17.	A. Martínez-Finkelshtein, E. A. Rakhmanov, “On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials”, Recent trends in orthogonal polynomials and approximation theory, Contemp. Math., 507, Amer. Math. Soc., Providence, RI, 2010, 209–232	14 ^[x]
18.	A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, On the convergence of Chebyshev–Pade approximations to real-valued algebraic functions, 2010 , 10 pp., arXiv: 1009.4813

2007
19.	E. A. Rakhmanov, “Bounds for polynomials with a unit discrete norm”, Ann. of Math. (2), 165:1 (2007), 55–88	36 ^[x]

2006
20.	E. Rakhmanov, B. Shekhtman, “On discrete norms of polynomials”, J. Approx. Theory, 139:1-2 (2006), 2–7	9 ^[x]

2005
21.	S. Kamvissis, E. A. Rakhmanov, “Existence and regularity for an energy maximization problem in two dimensions”, J. Math. Phys., 46:8 (2005), 083505 , 24 pp.	22 ^[x]

2004
22.	B. Beckermann, A. Martínez-Finkelshtein, E. A. Rakhmanov, F. Wielonsky, “Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class”, J. Math. Phys., 45:11 (2004), 4239–4254	10 ^[x]
23.	A. Martínez-Finkelshtein, V. Maymeskul, E. A. Rakhmanov, E. B. Saff, “Asymptotics for minimal discrete Riesz energy on curves in $\mathbb R^d$”, Canad. J. Math., 56:3 (2004), 529–552	30 ^[x]

1999
24.	V. S. Buyarov, E. A. Rakhmanov, “Families of equilibrium measures in an external field on the real axis”, Sb. Math., 190:6 (1999), 791–802
25.	A. B. J. Kuijlaars, E. A. Rakhmanov, “Corrigendum to: “Zero distributions for discrete orthogonal polynomials””, J. Comput. Appl. Math., 104:2 (1999), 213	3 ^[x]

1998
26.	A. B. J. Kuijlaars, E. A. Rakhmanov, “Zero distributions for discrete orthogonal polynomials”, Proceedings of the VIIIth Symposium on Orthogonal Polynomials and Their Applications (Seville, 1997), J. Comput. Appl. Math., 99, no. 1-2, 1998, 255–274	31 ^[x]
27.	E. A. Rakhmanov, E. B. Saff, P. C. Simeonov, “Rational approximation with varying weights. II”, J. Approx. Theory, 92:2 (1998), 331–338	1 ^[x]

1997
28.	A. A. Gonchar, E. A. Rakhmanov, V. N. Sorokin, “Hermite–Pade approximants for systems of Markov-type functions”, Sb. Math., 188:5 (1997), 671–696

1996
29.	E. A. Rakhmanov, “Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable”, Sb. Math., 187:8 (1996), 1213–1228
30.	P. Borwein, E. A. Rakhmanov, E. B. Saff, “Rational approximation with varying weights. I”, Constr. Approx., 12:2 (1996), 223–240

1995
31.	E. A. Rakhmanov, E. B. Saff, Y. M. Zhou, “Electrons on the sphere”, Computational methods and function theory 1994 (Penang), Ser. Approx. Decompos., 5, World Sci. Publ., River Edge, NJ, 1995, 293–309

1994
32.	E. A. Rakhmanov, E. B. Saff, Y. M. Zhou, “Minimal discrete energy on the sphere”, Math. Res. Lett., 1:6 (1994), 647–662	237 ^[x]

1993
33.	E. A. Rakhmanov, “Strong asymptotics for orthogonal polynomials”, Physics, Lecture Notes in Math., 1550, Springer, Berlin, 1993, 71–97	13 ^[x]

1992
34.	A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “On the rate of convergence of Padé approximants of orthogonal expansions”, Progress in approximation theory (Tampa, FL, 1990), Springer Ser. Comput. Math., 19, Springer, New York, 1992, 169–190	21 ^[x]

1993
35.	A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “On the convergence of Padé approximation of orthogonal expansions”, Proc. Steklov Inst. Math., 200 (1993), 149–159

1989
36.	A. A. Gonchar, E. A. Rakhmanov, G. Lopez, “Some old and new results in rational approximation theory”, Rational approximation and orthogonal polynomials (Zaragoza, 1988), Univ. Zaragoza, Zaragoza, 1989, 1–30

1988
37.	A. A. Gončar, E. A. Rakhmanov, “On the rate of rational approximation of analytic functions”, Approximation and optimization (Havana, 1987), Lecture Notes in Math., 1354, Springer, Berlin, 1988, 25–42	1 ^[x]
38.	G. López, E. A. Rakhmanov, “Rational approximations, orthogonal polynomials and equilibrium distributions”, Orthogonal polynomials and their applications (Segovia, 1986), Lecture Notes in Math., 1329, Springer, Berlin, 1988, 125–157	14 ^[x]

1989
39.	A. A. Gonchar, E. A. Rakhmanov, “Equilibrium distributions and degree of rational approximation of analytic functions”, Math. USSR-Sb., 62:2 (1989), 305–348

1987
40.	E. A. Rakhmanov, “On asymptotic properties of polynomials orthogonal on the circle with weights not satisfying the Szegö's condition”, Math. USSR-Sb., 58:1 (1987), 149–167

1985
41.	A. A. Gonchar, E. A. Rakhmanov, “On the equilibrium problem for vector potentials”, Russian Math. Surveys, 40:4 (1985), 183–184

1986
42.	A. A. Gonchar, E. A. Rakhmanov, “Equilibrium measure and the distribution of zeros of extremal polynomials”, Math. USSR-Sb., 53:1 (1986), 119–130

1984
43.	E. A. Rakhmanov, “On asymptotic properties of polynomials orthogonal on the real axis”, Math. USSR-Sb., 47:1 (1984), 155–193

1983
44.	E. A. Rakhmanov, “On the asymptotics of the ratio of orthogonal polynomials. II”, Math. USSR-Sb., 46:3 (1983), 105–117

1982
45.	E. A. Rakhmanov, “Estimates of the growth of orthogonal polynomials whose weight is bounded away from zero”, Math. USSR-Sb., 42:2 (1982), 237–263

1983
46.	A. A. Gonchar, E. A. Rakhmanov, “On the convergence of simultaneous Padé approximants for systems of functions of Markov type”, Proc. Steklov Inst. Math., 157 (1983), 31–50

1981
47.	E. A. Rakhmanov, “Asymptotic properties of polynomials that are orthogonal on the real axis”, Dokl. Akad. Nauk SSSR, 261:2 (1981), 282–284
48.	E. A. Rakhmanov, “On the convergence of Padé approximants in classes of holomorphic functions”, Math. USSR-Sb., 40:2 (1981), 149–155

1980
49.	E. A. Rahmanov, “On V. A. Steklov's problem in the theory of orthogonal polynomials”, Russian, Dokl. Akad. Nauk SSSR, 254:4 (1980), 802–806
50.	E. A. Rakhmanov, “On Steklov's conjecture in the theory of orthogonal polynomials”, Math. USSR-Sb., 36:4 (1980), 549–575

1977
51.	E. A. Rakhmanov, “Convergence of diagonal Padé approximants”, Math. USSR-Sb., 33:2 (1977), 243–260
52.	E. A. Rakhmanov, “On the asymptotics of the ratio of orthogonal polynomials”, Math. USSR-Sb., 32:2 (1977), 199–213

Presentations in Math-Net.Ru

1.	Stieltjes polynomials and Critical measures E. Rakhmanov Conference in honor of Guillermo Lуpez Lagomasino's 60th birthday "International Workshop on Orthogonal Polynomials and Approximation Theory" IWOPA'08 September 12, 2008 09:30

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