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20052025
most citedUnsupervised Domain Adaptation using Generative Adversarial Networks for Semantic Segmentation of Aerial Images

216 citations

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9 papers · 1 filter

math.SP2018

The discrete Laplacian of a 2-simplicial complex

Yassin Chebbi

In this paper, we introduce the notion of oriented faces especially triangles in a connected oriented locally finite graph. This framework then permits to define the Laplace operat…

math.SP2018★ 1 cited

Non self-adjoint laplacians on a directed graph

Marwa Balti

We consider a non self-adjoint Laplacian on a directed graph with non symmetric edge weights. We analyse spectral properties of this Laplacian under a Kirchhoff assumption. Moreove…

math.SP2017★ 8 cited

On the eigenvalues of weighted directed graphs

Marwa Balti

This paper deals with spectral graph theory issues related to questions of monotonicity and comparison of eigenvalues. We consider finite directed graphs with non symmetric edge we…

math.SP2017

Upper Bound For The Ratios Of Eigenvalues Of Schrodinger Operators With Nonnegative Single-Barrier Potentials

Jamel Ben Amara, Jihed Hedhly

In this paper we prove the optimal upper bound for one-dimensional Schrodinge…

math.SP2016

The Ratio of Eigenvalues of the Dirichlet Eigenvalue Problem for Equations with One-Dimensional p-Laplacian

Jamel Ben Amara, Hedhly Jihed

Chao-Zhong Chen et al. proved the upper estimate $\frac{λ_{n}}{λ_{m}}\leq \frac{% n^{p}}{m^{p}}$ for Dirichlet Shrödinger oper…

math.SP2015★ 1 cited

Lower Bound For The Ratios Of Eigenvalues Of Schrödinger Equations With Nonpositive Single-Barrier Potentials

Jamel Ben Amara, Hedhly Jihed

Horváth and Kiss [Proc. Amer. Math. Soc., 2005] proved the upper bound estimate for Dirichlet eigenvalue ratios of the…