Zobrazeno 1 - 10
of 36 426
pro vyhledávání: '"P Petrov"'
Autor:
Piek, Albert Bruno, Petrov, Evgeniy
Publikováno v:
Ann. Comb. 25, 33-50 (2021)
We introduce a metric on the set of permutations of given order, which is a weighted generalization of Kendall's $\tau$ rank distance and study its properties. Using the edge graph of a permutohedron, we give a criterion which guarantees that a permu
Externí odkaz:
http://arxiv.org/abs/2412.18400
Autor:
Petrov, Evgeniy A.
Publikováno v:
J. Math. Sci. 264, 423-440 (2022)
A characterization of finite homogeneous ultrametric spaces and finite ultrametric spaces generated by unrooted labeled trees is found in terms of representing trees. A characterization of finite ultrametric spaces having perfect strictly $n$-ary tre
Externí odkaz:
http://arxiv.org/abs/2412.17421
Autor:
Petrov, Evgeniy
Publikováno v:
P-Adic Num. Ultrametr. Anal. Appl. 14, 145-156 (2022)
It is shown that a minimum weight spanning tree of a finite ultrametric space can be always found in the form of path. As a canonical representing tree such path uniquely defines the whole space and, moreover, it has much more simple structure. Thus,
Externí odkaz:
http://arxiv.org/abs/2412.17416
Autor:
Keller, Karsten, Petrov, Evgeniy
Publikováno v:
Acta Math. Hungar. 160, 119-152 (2020)
Ordinal data analysis is an interesting direction in machine learning. It mainly deals with data for which only the relationships `$<$', `$=$', `$>$' between pairs of points are known. We do an attempt of formalizing structures behind ordinal data an
Externí odkaz:
http://arxiv.org/abs/2412.17391
Autor:
Petrov, D. S.
By using the Bogoliubov perturbation theory we describe the self-bound ground state and excited breathing states of $N$ two-dimensional bosons with zero-range attractive interactions. Our results for the ground state energy $B_N$ and size $R_N$ impro
Externí odkaz:
http://arxiv.org/abs/2412.17078
We introduce the concept of resonant optical torque that allows enhancing substantially a transfer of optical angular momentum (AM) of light to a subwavelength particle. We consider high-index cylindrical dielectric nanoparticles supporting Mie reson
Externí odkaz:
http://arxiv.org/abs/2412.08368
Autor:
Gokhfeld, D. M., Petrov, M. I., Semenov, S. V., Balaev, A. D., Nemtsev, I. V., Vasiliev, A. D., Molokeev, M. S.
Publikováno v:
Ceram. Int. 50 (2024) 52213
Solid-state synthesis is widely used in exploratory research to study various structural modifications that affect the properties (critical temperature, critical current density, irreversibility field, etc.) of superconductors. The popularity of this
Externí odkaz:
http://arxiv.org/abs/2412.08113
In 1975, Stein made a wide generalisation of the Ryser-Brualdi-Stein conjecture on transversals in Latin squares, conjecturing that every equi-$n$-square (an $n\times n$ array filled with $n$ symbols where each symbol appears exactly $n$ times) has a
Externí odkaz:
http://arxiv.org/abs/2412.07733
We investigate the $\mathcal{N} = 2$ supersymmetric generalization of the dual equivalence between the Maxwell-Chern-Simons model and two massive self-dual models. One of the self-dual models is described by a real scalar superfield, while the other
Externí odkaz:
http://arxiv.org/abs/2412.07622
We present a theoretical study of the exchange interaction in a system of spatially disordered magnetic moments. A typical example of such a system is an impurity semiconductor, whose magnetic properties are associated with the exchange interaction o
Externí odkaz:
http://arxiv.org/abs/2412.07305