Zobrazeno 1 - 10
of 6 370
pro vyhledávání: '"Moroz, P."'
Degenerate two-dimensional electron liquids are theoretically established to possess two vastly distinct collisional electron mean free paths, where even-parity deformations of the Fermi surface are hydrodynamic with a short collisional mean free pat
Externí odkaz:
http://arxiv.org/abs/2411.08102
Implementing many important sub-circuits on near-term quantum devices remains a challenge due to the high levels of noise and the prohibitive depth on standard nearest-neighbour topologies. Overcoming these barriers will likely require quantum error
Externí odkaz:
http://arxiv.org/abs/2411.03245
Object pose estimation is a prominent task in computer vision. The object pose gives the orientation and translation of the object in real-world space, which allows various applications such as manipulation, augmented reality, etc. Various objects ex
Externí odkaz:
http://arxiv.org/abs/2410.13465
Autor:
Moroz, Mykola
We consider conditions for the convergence of sequences in terms of positive and alternating Perron expansions ($P$-representation and $P^-$-representation). These conditions are crucial to determine the continuity of functions that are defined using
Externí odkaz:
http://arxiv.org/abs/2410.04136
Autor:
Moroz, Mykola
We consider the representation of real numbers by alternating Perron series ($P^-$-representation), which is a generalization of representations of real numbers by Ostrogradsky-Sierpi\'nski-Pierce series (Pierce series), alternating Sylvester series
Externí odkaz:
http://arxiv.org/abs/2408.01465
We study nonnegative optimizers of a Gagliardo-Nirenberg type inequality $$\iint_{\mathbb{R}^N \times \mathbb{R}^N} \frac{|u(x)|^p\,|u(y)|^p}{|x - y|^{N-\alpha}} dx\, dy\le C\Big(\int_{{\mathbb R}^N}|u|^2 dx\Big)^{p\theta} \Big(\int_{{\mathbb R}^N}|u
Externí odkaz:
http://arxiv.org/abs/2406.18472
Autor:
Moroz, Guillaume
Publikováno v:
Computer Algebra in Scientific Computing, Sep 2024, Rennes, France
Finding the solutions to a system of multivariate polynomial equations is a fundamental problem in mathematics and computer science. It involves evaluating the polynomials at many points, often chosen from a grid. In most current methods, such as sub
Externí odkaz:
http://arxiv.org/abs/2406.09857
Autor:
Lamberti, Pier Domenico, Moroz, Vitaly
We study sub and supersolutions for the $p$-Laplace type elliptic equation of the form $$-\Delta_p u-V|u|^{p-2}u=0\quad\text{in $\Omega$},$$ where $\Omega$ is a radially symmetric domain in ${\mathbb{R}}^N$ and $V(x)\ge 0$ is a continuous potential s
Externí odkaz:
http://arxiv.org/abs/2405.16705
Autor:
Utyushev, Anton D., Zakomirnyi, Vadim I., Shcherbakov, Alexey A., Rasskazov, Ilia L., Moroz, Alexander
Publikováno v:
J. Opt. Soc. Am. B 41(11), 2519-2526 (2024)
In an absorbing or an active host medium characterized by a complex refractive index $n_2=n_2'+{\rm i}n_2''$, our previously developed modified dipole long-wave approximation (MLWA) is shown to essentially overly with the exact Mie theory results for
Externí odkaz:
http://arxiv.org/abs/2405.08903
Autor:
Ma, Shiwang, Moroz, Vitaly
In this paper, we study the asymptotic behavior of ground state solutions for the nonlinear Choquard equation with a general local perturbation $$ -\Delta u+\varepsilon u=(I_\alpha \ast |u|^{p})|u|^{p-2}u+ g(u), \quad {\rm in} \ \mathbb R^N, \eqno(P_
Externí odkaz:
http://arxiv.org/abs/2405.02877