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pro vyhledávání: '"Shulga IN"'
Autor:
Shulga, Nikita
In 1971 Cusick proved that every real number $x\in[0,1]$ can be expressed as a sum of two continued fractions with no partial quotients equal to $1$. In other words, if we define a set $$ S(k):= \{ x\in[0,1] : a_n(x) \geq k \text{ for all } n\in\math
Externí odkaz:
http://arxiv.org/abs/2411.17379
Autor:
Huang, Yi, Go, Yeonju, Huang, Jin, Li, Shuhang, Luo, Xihaier, Marshall, Thomas, Osborn, Joseph, Pinkenburg, Christopher, Ren, Yihui, Shulga, Evgeny, Yoo, Shinjae, Yoon, Byung-Jun
High-energy large-scale particle colliders generate data at extraordinary rates. Developing real-time high-throughput data compression algorithms to reduce data volume and meet the bandwidth requirement for storage has become increasingly critical. D
Externí odkaz:
http://arxiv.org/abs/2411.11942
Autor:
Chevizovich, Dalibor, Galovic, Slobodanka, Matic, Vasilije, Shirmovsky, Sergei Eh., Shulga, Denis V., Chizhov, Alexei V.
In this paper we consider the possibility of the stable migration of the single vibron excitation in the system consisting of biomolecule and the attached molecular structure. The model is based on the assumption of the vibron self-trapping and the f
Externí odkaz:
http://arxiv.org/abs/2410.03343
Autor:
Moshchevitin, Nikolay, Shulga, Nikita
For a norm $F$ on $\mathbb{R}^2$, we consider the set of $F$-Dirichlet improvable numbers $\mathbf{DI}_F$. In the most important case of $F$ being an $L_p$-norm with $p=\infty$, which is a supremum norm, it is well-known that $\mathbf{DI}_F = \mathbf
Externí odkaz:
http://arxiv.org/abs/2408.06200
For an infinite iterated function system $\mathbf{f}$ on $[0,1]$ with an attractor $\Lambda(\mathbf{f})$ and for an infinite subset $D\subseteq \mathbb{N}$, consider the set \[ \mathbb E(\mathbf{f},D)= \{ x \in \Lambda(\mathbf{f}): a_n(x)\in D \text{
Externí odkaz:
http://arxiv.org/abs/2312.17388
Autor:
Shulga, Kirill
We examine a two-qubit system influenced by a time-periodic external field while interacting with a Markovian bath. This scenario significantly impacts the temporal coherence characteristics of the system. By solving the evolution equation for the de
Externí odkaz:
http://arxiv.org/abs/2312.10609
Given $b=-A\pm i$ with $A$ being a positive integer, we can represent any complex number as a power series in $b$ with coefficients in $\mathcal A=\{0,1,\ldots, A^2\}$. We prove that, for any real $\tau\geq 2$ and any non-empty proper subset $J(b)$ o
Externí odkaz:
http://arxiv.org/abs/2310.11698
Autor:
Shulga, Nikita
Famous Zaremba's conjecture (1971) states that for each positive integer $q\geq2$, there exists positive integer $1\leq a
Externí odkaz:
http://arxiv.org/abs/2310.09801
Publikováno v:
Journal of Magnetism and Magnetic Materials, 2023
The development of new computing technologies has given a new stimulus in the study of multiferroics. The use of multiferroics allows the realization of competitive energy efficient scalable logic and storage devices. The low-power consumption in Mag
Externí odkaz:
http://arxiv.org/abs/2310.05438
We analyze the formation of the redshifted hyperfine structure line 21-cm of hydrogen atom in the Dark Ages, Cosmic Dawn, and Reionization epochs. The evolution of the global differential brightness temperature in this line was computed to study its
Externí odkaz:
http://arxiv.org/abs/2309.15092