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pro vyhledávání: '"Nisse, Mounir"'
Autor:
Nisse, Mounir, Sottile, Frank
We show that the closure of the coamoeba of a linear space/hyperplane complement is the union of products of coamoebas of hyperplane complements coming from flags of flats, and relate this to the Bergman fan. Using the Horn-Kapranov parameterization
Externí odkaz:
http://arxiv.org/abs/2411.19018
Autor:
Lim, Yen-Kheng, Nisse, Mounir
The prime motivation behind this paper is to prove that any torus link $\mathcal{L}$ can be realized as the union of the one-dimensional connected components of the set of critical values of the argument map restricted to a complex algebraic plane cu
Externí odkaz:
http://arxiv.org/abs/2311.11835
Publikováno v:
International Journal of Theoretical Physics, vol 63 176 (2024)
We show that the free energy $\mathcal{F}$ and temperature $T$ of black holes, considered as a thermodynamic system, can be viewed as an $A$-discriminant of an appropriately-defined polynomial. As such, mathematical results about $A$-discriminants ma
Externí odkaz:
http://arxiv.org/abs/2311.11801
Lee-Yang (LY) zeros, points on the complex plane of physical parameters where the partition function goes to zero, have found diverse applications across multiple disciplines like statistical physics, protein folding, percolation, complex networks et
Externí odkaz:
http://arxiv.org/abs/2308.12302
Autor:
Lim, Yen-Kheng, Nisse, Mounir
Publikováno v:
Phys. Rev. D 104, 104012 (2021)
When geodesic equations are formulated in terms of an effective potential $U$, circular orbits are characterised by $U=\partial_a U=0$. In this paper we consider the case where $U$ is an algebraic function. Then the condition for circular orbits defi
Externí odkaz:
http://arxiv.org/abs/2107.07652
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Autor:
Nisse, Mounir, Sottile, Frank
Publikováno v:
Pacific J. Math. 317 (2022) 187-205
An amoeba is the image of a subvariety of an algebraic torus under the logarithmic moment map. We consider some qualitative aspects of amoebas, establishing some results and posing problems for further study. These problems include determining the di
Externí odkaz:
http://arxiv.org/abs/1805.00273
Suppose $c_1,\ldots,c_{n+k}$ are real numbers, $\{a_1,\ldots,a_{n+k}\}\!\subset\!\mathbb{R}^n$ is a set of points not all lying in the same affine hyperplane, $y\!\in\!\mathbb{R}^n$, $a_j\cdot y$ denotes the standard real inner product of $a_j$ and $
Externí odkaz:
http://arxiv.org/abs/1710.00481
Autor:
Nisse, Mounir, Sadykov, Timur
Given a complex algebraic hypersurface~$H$, we introduce a polyhedral complex which is a subset of the Newton polytope of the defining polynomial for~$H$ and enjoys the key topological and combinatorial properties of the amoeba of~$H.$ We provide an
Externí odkaz:
http://arxiv.org/abs/1708.06870
Akademický článek
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