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pro vyhledávání: '"A, Dimitrov"'
The $\sigma_{t}$-irregularity (or sigma total index) is a graph invariant which is defined as $\sigma_{t}(G)=\sum_{\{u,v\}\subseteq V(G)}(d(u)-d(v))^{2},$ where $d(z)$ denotes the degree of $z$. This irregularity measure was proposed by R\' {e}ti [Ap
Externí odkaz:
http://arxiv.org/abs/2411.04881
Autor:
Novitskiy, Lev, Lazarev, Vladimir, Tiutiulnikov, Mikhail, Vakhrameev, Nikita, Eremin, Roman, Humonen, Innokentiy, Kuznetsov, Andrey, Dimitrov, Denis, Budennyy, Semen
For a very long time, computational approaches to the design of new materials have relied on an iterative process of finding a candidate material and modeling its properties. AI has played a crucial role in this regard, helping to accelerate the disc
Externí odkaz:
http://arxiv.org/abs/2411.03156
The total $\sigma$-irregularity is given by $ \sigma_t(G) = \sum_{\{u,v\} \subseteq V(G)} \left(d_G(u) - d_G(v)\right)^2, $ where $d_G(z)$ indicates the degree of a vertex $z$ within the graph $G$. It is known that the graphs maximizing $\sigma_{t}$-
Externí odkaz:
http://arxiv.org/abs/2411.01530
Autor:
Dimitrov, Evgeni
We investigate a class of line ensembles whose local structure is described by independent geometric random walk bridges, which have been conditioned to interlace with each other. The latter arise naturally in the context Schur processes, including t
Externí odkaz:
http://arxiv.org/abs/2410.23899
Autor:
Arkhipkin, Vladimir, Vasilev, Viacheslav, Filatov, Andrei, Pavlov, Igor, Agafonova, Julia, Gerasimenko, Nikolai, Averchenkova, Anna, Mironova, Evelina, Bukashkin, Anton, Kulikov, Konstantin, Kuznetsov, Andrey, Dimitrov, Denis
Text-to-image (T2I) diffusion models are popular for introducing image manipulation methods, such as editing, image fusion, inpainting, etc. At the same time, image-to-video (I2V) and text-to-video (T2V) models are also built on top of T2I models. We
Externí odkaz:
http://arxiv.org/abs/2410.21061
Autor:
Beshirov, Angel, Dobreva, Milena, Dimitrov, Dimitar, Hardalov, Momchil, Koychev, Ivan, Nakov, Preslav
The digitization of historical documents is crucial for preserving the cultural heritage of the society. An important step in this process is converting scanned images to text using Optical Character Recognition (OCR), which can enable further search
Externí odkaz:
http://arxiv.org/abs/2409.00527
We prove the irrationality of the classical Dirichlet L-value $L(2,\chi_{-3})$. The argument applies a new kind of arithmetic holonomy bound to a well-known construction of Zagier. In fact our work also establishes the $\mathbf{Q}$-linear independenc
Externí odkaz:
http://arxiv.org/abs/2408.15403
Autor:
Dimitrov, Evgeni
In (J. Stat. Phys. 132, 275-290, 2008) Borodin and P\'ech\'e introduced a generalization of the extended Airy kernel based on two infinite sets of parameters. For an arbitrary choice of parameters we construct determinantal point processes on $\mathb
Externí odkaz:
http://arxiv.org/abs/2408.08445
Autor:
Dimitrov, S. I.
In this paper we propose a new generalizations of amicable numbers. We also give examples and prove properties of these new concepts.
Externí odkaz:
http://arxiv.org/abs/2408.07387
Autor:
Dimitrov, S. I.
In this paper we establish three Barban-Davenport-Halberstam type theorems. Namely for exponential sums over primes, for Piatetski-Shapiro primes and for exponential sums over Piatetski-Shapiro primes.
Externí odkaz:
http://arxiv.org/abs/2408.06490