Zobrazeno 1 - 10
of 9 589
pro vyhledávání: '"Bucur, A."'
Autor:
Bucur, Ana-Maria, Moldovan, Andreea-Codrina, Parvatikar, Krutika, Zampieri, Marcos, KhudaBukhsh, Ashiqur R., Dinu, Liviu P.
Computational approaches to predicting mental health conditions in social media have been substantially explored in the past years. Multiple surveys have been published on this topic, providing the community with comprehensive accounts of the researc
Externí odkaz:
http://arxiv.org/abs/2410.08793
Mathematics has long been conveyed through natural language, primarily for human understanding. With the rise of mechanized mathematics and proof assistants, there is a growing need to understand informal mathematical text, yet most existing benchmar
Externí odkaz:
http://arxiv.org/abs/2409.11074
For any $p \in ( 1, +\infty)$, we give a new inequality for the first nontrivial Neumann eigenvalue $\mu _ p (\Omega, \varphi)$ of the $p$-Laplacian on a convex domain $\Omega \subset \mathbb{R}^N$ with a power-concave weight $\varphi$. Our result im
Externí odkaz:
http://arxiv.org/abs/2407.20373
We consider the minimization property of a Gagliardo-Slobodeckij seminorm which can be seen as the fractional counterpart of the classical problem of functions of least gradient and which is related to the minimization of the nonlocal perimeter funct
Externí odkaz:
http://arxiv.org/abs/2407.20079
We aim to learn the functional co-response group: a group of taxa whose co-response effect (the representative characteristic of the group showing the total topological abundance of taxa) co-responds (associates well statistically) to a functional va
Externí odkaz:
http://arxiv.org/abs/2407.03897
The fundamental gap conjecture proved by Andrews and Clutterbuck in 2011 provides the sharp lower bound for the difference between the first two Dirichlet Laplacian eigenvalues in terms of the diameter of a convex set in $\mathbb{R}^N$. The question
Externí odkaz:
http://arxiv.org/abs/2407.01341
Autor:
Bogosel, Beniamin, Bucur, Dorin
The main result of the paper shows that the regular $n$-gon is a local minimizer for the first Dirichlet-Laplace eigenvalue among $n$-gons having fixed area for $n \in \{5,6\}$. The eigenvalue is seen as a function of the coordinates of the vertices
Externí odkaz:
http://arxiv.org/abs/2406.11575
Autor:
Bucur, Valentina, Vasiev, Bakhtier
Biological pattern formation is one of the most intriguing phenomena in nature. Simplest examples of such patterns are represented by travelling waves and stationary periodic patterns which occur during various biological processes including morphoge
Externí odkaz:
http://arxiv.org/abs/2406.07182
Publikováno v:
Qualitative Theory of Dynamical Systems 21, 2022
A generalized two-dimensional cubic Lotka-Volterra model with infinitesimal parameters is studied. Three different cases have been considered, one non-degenerate and two degenerate. The local behavior of the model has been studied in the three cases.
Externí odkaz:
http://arxiv.org/abs/2404.03316
Publikováno v:
Scientific Reports, volume 14, Article number: 11866 (2024)
We propose a novel model-selection method for dynamic networks. Our approach involves training a classifier on a large body of synthetic network data. The data is generated by simulating nine state-of-the-art random graph models for dynamic networks,
Externí odkaz:
http://arxiv.org/abs/2404.00793