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23 papers · 1 filter
Structure of Polyzetas and Explicit Representation on Transcendence Bases of Shuffle and Stuffle Algebras
Van Chien Bui, Gerard H. E. Duchamp, Vincel Hoang Ngoc Minh
Polyzetas, indexed by words, satisfy shuffle and quasi-shuffle identities. In this respect, one can explore the multiplicative and algorithmic (locally finite) properties of their…
Clustered Cell Decomposition in P-Minimal Structures
Saskia Chambille, Pablo Cubides Kovacsics, Eva Leenknegt
We prove that in a -minimal structure, every definable set can be partitioned as a finite union of classical cells and regular clustered cells. This is a generalization of previ…
Widefield lensless endoscopy with a multicore fiber
Viktor Tsvirkun, Siddharth Sivankutty, Géraud Bouwmans +3
We demonstrate pixelation-free real-time widefield endoscopic imaging through an aperiodic multicore fiber (MCF) without any distal opto-mechanical elements or proximal scanners. E…
Study and application of the resonant secular dynamics beyond Neptune
Melaine Saillenfest, Marc Fouchard, Giacomo Tommei +1
We use a secular representation to describe the long-term dynamics of transneptunian objects in mean-motion resonance with Neptune. The model applied is thoroughly described in Sai…
Long term dynamics beyond Neptune: secular models to study the regular motions
Melaine Saillenfest, Marc Fouchard, Giacomo Tommei +1
Two semi-analytical one-degree-of-freedom secular models are presented for the motion of small bodies beyond Neptune. A special attention is given to trajectories entirely exterior…
Wiener integrals with respect to the Hermite random field and applications to the wave equation
Jorge Clarke de La Cerda, Ciprian A. Tudor
The Hermite random field has been introduced as a limit of some weighted Hermite variations of the fractional Brownian sheet. In this work we define it as a multiple integral with…