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- Alexander I. Aptekarev, Sergey Denisov, D . TULYAKOV
- 2015

Given any δ ∈ (0, 1), we define the Steklov class Sδ to be the set of probability measures σ on the unit circle T, such that σ′(θ) > δ/(2π) > 0 at every Lebesgue point of σ. One can define the orthonormal polynomials φn(z) with respect to σ ∈ Sδ. In this paper, we obtain the sharp estimates on the uniform norms ∥φn∥L∞(T) as n → ∞ which settles a question… (More)

The blood taken from 35 patients with coronary heart disease and 30 healthy donors was irradiated with He-Ne laser, which resulted in a decrease in its count of segmented neutrophilic granulocytes. Lectins bound to various carbohydrate determinants onto the neutrophil surface were shown to affect changes occurring after luminol-depended chemiluminescence… (More)

- Ralf Gommers, Sergey Denisov, Ferruccio Renzoni
- Physical review letters
- 2006

We investigate experimentally the route to quasiperiodicity in a driven ratchet for cold atoms and examine the relationship between symmetries and transport while approaching the quasiperiodic limit. Depending on the specific form of driving, quasiperiodicity results in the complete suppression of transport, or in the restoration of the symmetries which… (More)

- Sergey Denisov, Sergej Flach, Alexey A Ovchinnikov, Oleg M. Yevtushenko, Yaroslav Zolotaryuk
- Physical review. E, Statistical, nonlinear, and…
- 2002

We consider low-dimensional dynamical systems exposed to a heat bath and to additional ac fields. The presence of these ac fields may lead to a breaking of certain spatial or temporal symmetries, which in turn cause nonzero averages of relevant observables. Nonlinear (non)adiabatic response is employed to explain the effect. We consider a case of a particle… (More)

- Sergey Denisov, Sergej Flach
- Physical review. E, Statistical, nonlinear, and…
- 2001

Recent symmetry considerations [Flach et al., Phys. Rev. Lett. 84, 2358 (2000)] have shown that dc currents may be generated in the stochastic layer of a system describing the motion of a particle in a one-dimensional potential in the presence of an ac time-periodic drive. In this paper we explain the dynamical origin of this current. We show that the dc… (More)

- Vasily Yu Zaburdaev, Sergey Denisov, Peter Hänggi
- Physical review letters
- 2011

The propagation of an initially localized perturbation via an interacting many-particle Hamiltonian dynamics is investigated. We argue that the propagation of the perturbation can be captured by the use of a continuous-time random walk where a single particle is traveling through an active, fluctuating medium. Employing two archetype ergodic many-particle… (More)

- Vasily Yu Zaburdaev, Sergey Denisov, Peter Hänggi
- Physical review letters
- 2013

Space-time correlation functions constitute a useful instrument from the research toolkit of continuous-media and many-body physics. Here we adopt this concept for single-particle random walks and demonstrate that the corresponding space-time velocity autocorrelation functions reveal correlations which extend in time much longer than estimated with the… (More)

- Sergey Denisov
- 2004

Let p be a trigonometric polynomial, nonnegative on the unit circle T. We say that a measure σ on T belongs to the polynomial Szeg˝ o class, if dσ(e iθ) = σ ′ ac (e iθ) dθ + dσ s (e iθ), σ s is singular, and 2π 0 p(e iθ) log σ ′ ac (e iθ) dθ > −∞ For the associated orthogonal polynomials {ϕ n }, we obtain pointwise asymp-totics inside the unit disc D. Then… (More)

- Aleksey V. Ponomarev, Sergey Denisov, Peter Hänggi
- Physical review letters
- 2011

Two identical finite quantum systems prepared initially at different temperatures, isolated from the environment, and subsequently brought into contact are demonstrated to relax towards Gibbs-like quasiequilibrium states with a common temperature and small fluctuations around the time-averaged expectation values of generic observables. The temporal… (More)

- Adi Rebenshtok, Sergey Denisov, Peter Hänggi, Eli Barkai
- Physical review. E, Statistical, nonlinear, and…
- 2014

Motion of particles in many systems exhibits a mixture between periods of random diffusive-like events and ballistic-like motion. In many cases, such systems exhibit strong anomalous diffusion, where low-order moments 〈|x(t)|(q)〉 with q below a critical value q(c) exhibit diffusive scaling while for q>q(c) a ballistic scaling emerges. The mixed dynamics… (More)