Zobrazeno 1 - 10
of 20 916
pro vyhledávání: '"Moroz, A."'
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 $\Omega$},$$ where $\Omega$ is a radially symmetric domain in ${\mathbb{R}}^N$ and $V(x)\ge 0$ is a continuous potential s
Externí odkaz:
http://arxiv.org/abs/2405.16705
Autor:
Utyushev, Anton D., Zakomirnyi, Vadim I., Shcherbakov, Alexey A., Rasskazov, Ilia L., Moroz, Alexander
In an absorbing or an active host medium characterized by a complex refractive index $n_2=n_2'+{\rm i}n_2''$, our previously developed modified dipole long-wave approximation (MLWA) is shown to essentially overly with the exact Mie theory results for
Externí odkaz:
http://arxiv.org/abs/2405.08903
Autor:
Ma, Shiwang, Moroz, Vitaly
In this paper, we study the asymptotic behavior of ground state solutions for the nonlinear Choquard equation with a general local perturbation $$ -\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
Autor:
Chung, Kristian Tyn Kai, Flores-Calderón, Rafael, Torres, Rafael C., Ribeiro, Pedro, Moroz, Sergej, McClarty, Paul
Motivated by recent work connecting Higgs phases to symmetry protected topological (SPT) phases, we investigate the interplay of gauge redundancy and global symmetry in lattice gauge theories with Higgs fields in the presence of a boundary. The core
Externí odkaz:
http://arxiv.org/abs/2404.17001
Publikováno v:
J. Opt. Soc. Am. B 41, C82-C90 (2024)
We revisit the Jaynes-Cummings and anti-Jaynes-Cummings model through the lens of Lie theory, aiming to highlight the efficacy of an operator-based approach for diagonalization. We focus on explicitly delineating the steps from an underlying abstract
Externí odkaz:
http://arxiv.org/abs/2402.17881
Publikováno v:
Comput. Phys. Commun. 301, 109218 (2024)
We present here Multem 3, an updated and revised version of Multem 2, which syntax has been upgraded to Fortran 2018, with the source code being divided into modules. Multem 3 is equipped with LAPACK, the state-of-the art Faddeeva complex error funct
Externí odkaz:
http://arxiv.org/abs/2402.02962
We highlight exotic quantum criticality of quasi-two-dimensional single-component fermions at half-filling that are minimally coupled to a dynamical Ising gauge theory. With the numerical matrix product state based iDMRG method, we discover a robust
Externí odkaz:
http://arxiv.org/abs/2402.00933