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19972026
most citedImbibition in Disordered Media

290 citations

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Showing 2018Show all

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math.DS2018★ 2 cited

Tricomplex Distance Estimation for Filled-in Julia Sets and Multibrot Sets

Pierre-Olivier Parisé, Guillaume Brouillette, Dominic Rochon

In this article, we present a distance estimation formula that can be used to ray trace 3D slices of the filled-in Julia sets and the Multibrot sets generated by the tricomplex pol…

math.DS2018★ 11 cited

Characterization of the Principal 3D Slices Related to the Multicomplex Mandelbrot Set

Guillaume Brouillette, Dominic Rochon

This article focuses on the dynamics of the different tridimensional principal slices of the multicomplex Multibrot sets. First, we define an equivalence relation between those sli…

cs.CL2018★ 51 cited

The EcoLexicon English Corpus as an open corpus in Sketch Engine

Pilar Leon-Arauz, Antonio San Martin, Arianne Reimerink

The EcoLexicon English Corpus (EEC) is a 23.1-million-word corpus of contemporary environmental texts. It was compiled by the LexiCon research group for the development of EcoLexic…

math.CA2018★ 1 cited

On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications

A. M. Grundland, J. de Lucas

This work presents a geometrical formulation of the Clairin theory of conditional symmetries for higher-order systems of partial differential equations (PDEs). We devise methods fo…

math-ph2018

Structural equations of supermanifolds immersed in the superspace with a prescribed curvature

Sébastien Bertrand, A. Michel Grundland

The aim of this paper is to construct the structural equations of supermanifolds immersed in Euclidean, hyperbolic and spherical superspaces parametrised with two bosonic and two f…