Dmitrii Nikolaevich Tulyakov

Asymptotics of Lp-norms of Hermite polynomials and Renyi entropy of Rydberg oscillator states

We survey known results and present estimates and conjectures for the next-order term in the asymptotics of the optimal logarithmic energy and Riesz

V.A. Steklov’s problem of estimating the growth of orthogonal polynomials

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Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials

-energy of

Случайные матрицы с внешним источником и асимптотика совместно ортогональных многочленов@@@Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials

N

Глобальный режим распределения собственных значений случайных матриц с ангармоническим потенциалом и внешним источником@@@Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source

points on the unit sphere in

Difference equations having bases with powerlike growth which are perturbed by a?spectral parameter

\mathbb{R}^{d+1}

Plancherel-Rotach type asymptotics for solutions of linear recurrence relations with rational coefficients

,

On a problem by Steklov

d\geq 1

Асимптотика типа Планшереля - Ротаха для решений линейных рекуррентных соотношений с рациональными коэффициентами@@@Plancherel-Rotach type asymptotics for solutions of linear recurrence relations with rational coefficients

. The conjectures are based on analytic continuation assumptions (with respect to

О локальной асимптотике отношения ортогональных полиномов в окрестности крайней точки носителя меры ортогональности@@@Local asymptotics of the ratio of orthogonal polynomials in the neighbourhood of an end-point of the support of the orthogonality measure

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