Zobrazeno 1 - 10
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pro vyhledávání: '"Arkhipov IS"'
We present a method to engineer various zero-energy localized states on disorder-free hypercube graphs. Previous works have already indicated that disorder is not essential for observing localization phenomena in noninteracting systems, with some pro
Externí odkaz:
http://arxiv.org/abs/2410.10763
Autor:
Arkhipov, Pavel, Kolmogorov, Vladimir
The $k$-forest problem asks to find $k$ forests in a graph $G$ maximizing the number of edges in their union. We show how to solve this problem in $O(k^3 \min\{kn, m\} \log^2 n + k \cdot{\rm MAXFLOW}(m, m) \log n)$ time, breaking the $O_k(n^{3/2})$ c
Externí odkaz:
http://arxiv.org/abs/2409.20314
Autor:
Arkhipov, Pavel, Kolmogorov, Vladimir
We consider two problems for a directed graph $G$, which we show to be closely related. The first one is to find $k$ edge-disjoint forests in $G$ of maximal size such that the indegree of each vertex in these forests is at most $k$. We describe a min
Externí odkaz:
http://arxiv.org/abs/2409.14881
Autor:
Arkhipov, Pavel
This paper focuses on Majority Dynamics in sparse graphs, in particular, as a tool to study internal cuts. It is known that, in Majority Dynamics on a finite graph, each vertex eventually either comes to a fixed state, or oscillates with period two.
Externí odkaz:
http://arxiv.org/abs/2406.07026
Autor:
Titov, Sergey, Evtikhiev, Mikhail, Shapkin, Anton, Smirnov, Oleg, Boytsov, Sergei, Karaeva, Dariia, Sheptyakov, Maksim, Arkhipov, Mikhail, Bryksin, Timofey, Bogomolov, Egor
In this technical report, we present three novel datasets of Kotlin code: KStack, KStack-clean, and KExercises. We also describe the results of fine-tuning CodeLlama and DeepSeek models on this data. Additionally, we present a version of the HumanEva
Externí odkaz:
http://arxiv.org/abs/2405.19250
Recently, the possibility of the generation and interaction of unipolar half-cycle electromagnetic pulses with quantum systems has been the subject of active research. Such pulses can have many different and interesting applications. They are able to
Externí odkaz:
http://arxiv.org/abs/2402.13413
The coherent interaction of extremely short light pulses with a resonant medium can result in formation of population difference gratings. Such gratings have been created by pulses that are pi/2 or smaller. This paper demonstrates that a microcavity
Externí odkaz:
http://arxiv.org/abs/2402.09302
Autor:
Arkhipov, Rostislav
Rapidly changing the refractive index of a medium in space and time (space-time photonic crystal, STPC) has been a challenging task. Such a rapid change can be achieved by carrier-wave Rabi flopping. We show that it can be realized when a train of ha
Externí odkaz:
http://arxiv.org/abs/2402.16122
Publikováno v:
Phys. Rev. Lett. 133, 113802 (2024) [open access]
Non-Hermitian systems have attracted much interest in recent decades, driven partly by the existence of exotic spectral singularities, known as exceptional points (EPs), where the dimensionality of the system evolution operator is reduced. Among vari
Externí odkaz:
http://arxiv.org/abs/2402.15298
Autor:
Arkhipov, R.
In a fixed spectral range, single- and half-cycle electromagnetic pulses have the shortest duration. Half-cycle pulses are promising tools for ultrafast control of quantum systems. Previously, the possibility of using a sequence of single- and half-c
Externí odkaz:
http://arxiv.org/abs/2402.11491