Zobrazeno 1 - 10
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pro vyhledávání: '"Morozov IS"'
Direct proof of one-hook scaling property for Alexander polynomial from Reshetikhin-Turaev formalism
We prove that normalized colored Alexander polynomial (the $A \rightarrow 1$ limit of colored HOMFLY-PT polynomial) evaluated for one-hook (L-shape) representation R possesses scaling property: it is equal to the fundamental Alexander polynomial with
Externí odkaz:
http://arxiv.org/abs/2410.13676
This article extends the study of dynamical properties of the symmetric McMillan map, emphasizing its utility in understanding and modeling complex nonlinear systems. Although the map features six parameters, we demonstrate that only two are irreduci
Externí odkaz:
http://arxiv.org/abs/2410.10380
Quite some years ago, Oleg Chalykh has built a nice theory from the observation that the Macdonald polynomial reduces at $t=q^{-m}$ to a sum over permutations of simpler polynomials called Baker-Akhiezer functions, which can be unambiguously construc
Externí odkaz:
http://arxiv.org/abs/2410.10685
Nowadays, low-rank approximations of matrices are an important component of many methods in science and engineering. Traditionally, low-rank approximations are considered in unitary invariant norms, however, recently element-wise approximations have
Externí odkaz:
http://arxiv.org/abs/2410.05247
A typical example of superintegrability is provided by expression of the Hopf link hyperpolynomial in an arbitrary representation through a pair of the Macdonald polynomials at special points. In the simpler case of the Hopf link HOMFLY-PT polynomial
Externí odkaz:
http://arxiv.org/abs/2410.03175
Autor:
Morozov, I. V., Shamova, I. K., Yusifov, M. A., Istomin, S. Y., Shatalova, T. B., Boltalin, A. I., Vasilchikova, T. M., Fedorova, A. A., Ovchenkov, E. A., Volkova, O. S.
Novel CaV1-xWxO3 (0.1 <= x <= 0.33) oxides with an orthorhombically distorted perovskite structure of GdFeO3 type have been synthesized. These compounds contain in B-position W6+ and V cations in an oxidation state between 4+ (CaVO3) and 3+ (x=0.33).
Externí odkaz:
http://arxiv.org/abs/2410.00443
Autor:
Morozov, Savva, Marcucci, Tobia, Amice, Alexandre, Graesdal, Bernhard Paus, Bosworth, Rohan, Parrilo, Pablo A., Tedrake, Russ
The Shortest-Path Problem in Graph of Convex Sets (SPP in GCS) is a recently developed optimization framework that blends discrete and continuous decision making. Many relevant problems in robotics, such as collision-free motion planning, can be cast
Externí odkaz:
http://arxiv.org/abs/2409.19543
Autor:
Glazkova, Anna, Morozov, Dmitry
Keyphrase selection plays a pivotal role within the domain of scholarly texts, facilitating efficient information retrieval, summarization, and indexing. In this work, we explored how to apply fine-tuned generative transformer-based models to the spe
Externí odkaz:
http://arxiv.org/abs/2409.10640
Autor:
Morozov, Oleg I.
The paper is concerned with Lax representations for the three-dimensional Euler--Helmholtz equation. We show that the parameter in the Lax representation from Theorem 3 in [15] is non-removable. Then we present two new Lax representations with non-re
Externí odkaz:
http://arxiv.org/abs/2409.05752
Robustness is critical for machine learning (ML) classifiers to ensure consistent performance in real-world applications where models may encounter corrupted or adversarial inputs. In particular, assessing the robustness of classifiers to adversarial
Externí odkaz:
http://arxiv.org/abs/2409.03598