Zobrazeno 1 - 10
of 5 018
pro vyhledávání: '"P. Dujardin"'
Autor:
Cantat, Serge, Dujardin, Romain
We prove several new rigidity results for polynomial automorphisms of $\mathbb C^2$ with positive entropy. A first result is that a complex slice of the (forward or backward) Julia set is never a smooth, or even rectifiable, curve. We also show that
Externí odkaz:
http://arxiv.org/abs/2411.10339
Autor:
Van Kenhove, Michiel, Seidler, Maximilian, Vandenberghe, Friedrich, Dujardin, Warre, Hennen, Wouter, Vogel, Arne, Sebrechts, Merlijn, Goethals, Tom, De Turck, Filip, Volckaert, Bruno
The rapid expansion of Internet of Things (IoT), edge, and embedded devices in the past decade has introduced numerous challenges in terms of security and configuration management. Simultaneously, advances in cloud-native development practices have g
Externí odkaz:
http://arxiv.org/abs/2410.22919
Autor:
Zhu, Xiao Xiang, Xiong, Zhitong, Wang, Yi, Stewart, Adam J., Heidler, Konrad, Wang, Yuanyuan, Yuan, Zhenghang, Dujardin, Thomas, Xu, Qingsong, Shi, Yilei
Foundation models have enormous potential in advancing Earth and climate sciences, however, current approaches may not be optimal as they focus on a few basic features of a desirable Earth and climate foundation model. Crafting the ideal Earth founda
Externí odkaz:
http://arxiv.org/abs/2405.04285
We consider the Gross-Pitaevskii equation with a confining ring potential with a Gaussian profile. By introducing a rotating sinusoidal perturbation, we numerically highlight the nucleation of quantum vortices in a particular regime throughout the dy
Externí odkaz:
http://arxiv.org/abs/2404.10360
Autor:
Cantat, Serge, Dujardin, Romain
We confirm a conjecture of Friedland and Milnor: if two polynomial automorphisms f and g in Aut(C^2) with dynamical degree >1 are conjugate by some holomorphic diffeomorphism \phi of C^2, then \phi is a polynomial automorphism; thus, f and g are conj
Externí odkaz:
http://arxiv.org/abs/2403.19621
Autor:
Sharma, Deepak K, Agreda, Adrian, DellOva, Florian, Malchow, Konstantin, Colas-des-Francs, Gérard, Dujardin, Erik, Bouhelier, Alexandre
Nonlinear photoluminescence (N-PL) is a broadband photon emission arising from non-equilibrium electron distribution generated at the surface of metallic nanostructures by an ultrafast pulsed laser illumination. N-PL is sensitive to surface morpholog
Externí odkaz:
http://arxiv.org/abs/2403.04581
We prove the dynamical Manin-Mumford conjecture for regular polynomial maps of A^2 and irreducible curves avoiding super-attracting orbits at infinity, over any field of characteristic 0.
Externí odkaz:
http://arxiv.org/abs/2312.14817
Autor:
Berger, Pierre, Bedford, Eric, Bianchi, Fabrizio, Buff, Xavier, Crovisier, Sylvain, Dinh, Tien-Cuong, Dujardin, Romain, Favre, Charles, Firsova, Tanya, Ingram, Patrick, Ishii, Yutaka, Palmisano, Liviana, Pujals, Enrique, Raissy, Jasmin, Štimac, Sonja, Vigny, Gabriel
We propose a set of questions on the dynamics of H\'enon maps from the real, complex, algebraic and arithmetic points of view.
Comment: 34 pages, 4 figures
Comment: 34 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2312.03907
Autor:
Dujardin, Guillaume, Lafitte, Pauline
This manuscript deals with the analysis of numerical methods for the full discretization (in time and space) of the linear heat equation with Neumann boundary conditions, and it provides the reader with error estimates that are uniform in time. First
Externí odkaz:
http://arxiv.org/abs/2312.00058
Autor:
Cantat, Serge, Dujardin, Romain
We first present an overview of our previous work on the dynamics of subgroups of automorphism groups of compact complex surfaces, together with a selection of open problems and new classification results. Then, we study two families of examples in d
Externí odkaz:
http://arxiv.org/abs/2310.01303