Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Alexis Michel"'
Publikováno v:
Royal Society Open Science, Vol 10, Iss 5 (2023)
In this work, we report investigations of the swimming behaviour of Paramecium tetraurelia, a unicellular microorganism, in micro-engineered pools that are decorated with thousands of cylindrical pillars. Two types of contact interactions are measure
Externí odkaz:
https://doaj.org/article/8ab41efcb1c34162b536fb3757f4c1e9
Autor:
Irene Elices, Anirudh Kulkarni, Nicolas Escoubet, Léa-Laetitia Pontani, Alexis Michel Prevost, Romain Brette
Publikováno v:
PLoS Computational Biology, Vol 19, Iss 2, p e1010899 (2023)
Paramecium is a large unicellular organism that swims in fresh water using cilia. When stimulated by various means (mechanically, chemically, optically, thermally), it often swims backward then turns and swims forward again in a new direction: this i
Externí odkaz:
https://doaj.org/article/3bf5bb2694654c11890a7d2382243f98
We provide a complete solution to the problem of infinite quantum signal processing for the class of Szeg\H{o} functions, which are functions that satisfy a logarithmic integrability condition and include almost any function that allows for a quantum
Externí odkaz:
http://arxiv.org/abs/2407.05634
Elucidating a connection with nonlinear Fourier analysis, we extend a well known algorithm in quantum signal processing to represent measurable signals by square summable sequences. Each coefficient of the sequence is Lipschitz continuous as a functi
Externí odkaz:
http://arxiv.org/abs/2310.12683
We show that for two doubling measures $\sigma$ and $\omega$ on $\mathbb{R}^{n}$ and any fixed dyadic grid $\mathcal{D}$ in $\mathbb{R}^{n}$, \[ \mathfrak{N}_{\mathbf{R}^{\lambda, n}}\left( \sigma,\omega\right) \approx\mathfrak{H}_{\mathbf{R}^{\lambd
Externí odkaz:
http://arxiv.org/abs/2309.03743
We show that for an individual Riesz transform in the setting of doubling measures, the scalar $T1$ theorem fails when $p \neq 2$: for each $ p \in (1, \infty) \setminus \{2\}$, we construct a pair of doubling measures $(\sigma, \omega)$ on $\mathbb{
Externí odkaz:
http://arxiv.org/abs/2308.15739
Given p between 1 and infinity, but not 2, we show that the T1 theorem for the Hilbert transform fails for L^{p}, despite holding for p equal to 2
Comment: 4 pages. Misprints corrected, introduction modified to accurately reflect updated results
Comment: 4 pages. Misprints corrected, introduction modified to accurately reflect updated results
Externí odkaz:
http://arxiv.org/abs/2301.10046
Autor:
Alexis, Michel
We show that solutions to Krein systems, the continuous frequency analogue of orthogonal polynomials on the unit circle, generated by an $A_2 (\mathbb{R})$ weight $w$ satisfying $w-1 \in L^1 (\mathbb{R}) + L^2 (\mathbb{R})$, are uniformly bounded in
Externí odkaz:
http://arxiv.org/abs/2208.13368
We show that while individual Riesz transforms are two weight norm stable under biLipschitz change of variables on $A_{\infty}$ weights, they are two weight norm unstable under even rotational change of variables on doubling weights. More precisely,
Externí odkaz:
http://arxiv.org/abs/2208.08400
To analyse the outcomes of the funding they provide, it is essential for funding agencies to be able to trace the publications resulting from their funding. We study the open availability of funding data in Crossref, focusing on funding data for publ
Externí odkaz:
http://arxiv.org/abs/2202.11639