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pro vyhledávání: '"A, Vukusic"'
In this paper, we extend recent work of the third author and Ziegler on triples of integers $(a,b,c)$, with the property that each of $(a,b,c)$, $(a+1,b+1,c+1)$ and $(a+2,b+2,c+2)$ is multiplicatively dependent, completely classifying such triples in
Externí odkaz:
http://arxiv.org/abs/2411.12009
We characterise quantitative semi-uniform stability for $C_0$-semigroups arising from port-Hamiltonian systems, complementing recent works on exponential and strong stability. With the result, we present a simple universal example class of port-Hamil
Externí odkaz:
http://arxiv.org/abs/2410.02357
Autor:
Salomon, Andreas, Aberl, Johannes, Vukušić, Lada, Prado-Navarrete, Enrique, Marböck, Jacqueline, Enriquez, Diego-Haya, Schuster, Jeffrey, Martinez, Kari, Groiss, Heiko, Fromherz, Thomas, Brehm, Moritz
The lack of straightforward epitaxial integration of useful telecom lasers on silicon remains the major bottleneck for bringing optical interconnect technology down to the on-chip level. Crystalline silicon itself, an indirect semiconductor, is a poo
Externí odkaz:
http://arxiv.org/abs/2409.11081
Autor:
Earp-Lynch, Benjamin, Faye, Bernadette, Goedhart, Eva G., Vukusic, Ingrid, Wisniewski, Daniel P.
Let $t$ be any imaginary quadratic integer with $|t|\geq 100$. We prove that the inequality \[ |F_t(X,Y)| = | X^4 - t X^3 Y - 6 X^2 Y^2 + t X Y^3 + Y^4 | \leq 1 \] has only trivial solutions $(x,y)$ in integers of the same imaginary quadratic number
Externí odkaz:
http://arxiv.org/abs/2303.15243
Autor:
Vukusic, Ingrid, Ziegler, Volker
In 2018, Luca and Patel conjectured that the largest perfect power representable as the sum of two Fibonacci numbers is $3864^2 = F_{36} + F_{12}$. In other words, they conjectured that the equation \begin{equation}\tag{$\ast$}\label{eq:abstract} y^a
Externí odkaz:
http://arxiv.org/abs/2302.08303
In this paper we completely solve a simple quartic family of Thue equations over $\mathbb{C}(T)$. Specifically, we apply the ABC-Theorem to find all solutions $(x,y) \in \mathbb{C}[T] \times \mathbb{C}[T]$ to the set of Thue equations $F_{\lambda}(X,
Externí odkaz:
http://arxiv.org/abs/2301.06129
Autor:
Helen Jinton, Victoria Rotter Sopasakis, Linnéa Sjölin, Anders Oldfors, Anders Jeppsson, Jonatan Oras, Mathias Wernbom, Kristina Vukusic
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-10 (2024)
Abstract Global ischemia has been shown to induce cardiac regenerative response in animal models. One of the suggested mechanisms behind cardiac regeneration is dedifferentiation of cardiomyocytes. How human adult cardiomyocytes respond to global isc
Externí odkaz:
https://doaj.org/article/de8d352d1039459e889decfa6d216596
Publikováno v:
Math. Comp. 92 (2023), 2825-2859
Let $(U_n)_{n\in \mathbb{N}}$ be a fixed linear recurrence sequence defined over the integers (with some technical restrictions). We prove that there exist effectively computable constants $B$ and $N_0$ such that for any $b,c\in \mathbb{Z}$ with $b>
Externí odkaz:
http://arxiv.org/abs/2208.03068
Autor:
Tranchida, Davide 2, ⁎, Salaberger, Dietmar 2, Vukusic, Lada 2, Hubner, Gerhard 2, Goswami, Mithun 2, Albrecht, Andreas 2, Filipe, Susana 1, 2
Publikováno v:
In Polymer 22 January 2025 318
Autor:
Rogošić, Marko, Damjanović, Anja, Logarušić, Marijan, Vukušić Pavičić, Tomislava, Biliškov, Nikola, Cvjetko Bubalo, Marina
Publikováno v:
In Journal of Molecular Liquids 1 November 2024 413