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The solenoidal Virasoro algebra and its simple weight modules
Boujemaa Agrebaoui, Walid Mhiri
https://arxiv.org/abs/2403.03753 https://

The solenoidal Virasoro algebra and its simple weight modules
Let $A_n=\mathbb{C}[t_i^{\pm1},~1\leq i\leq n]$ be the algebra of Laurent polynomials in $n$-variables. Let $μ=(μ_1,\ldots,μ_n)$ be a generic vector in $\mathbb{C}^n$ and $Γ_μ=\{μ\cdotα,α\in \mathbb{Z}^n\}$ where $μ\cdotα=\displaystyle\sum_{i=1}^nμ_iα_i$ for $α=(α_1,\ldots,α_n)\in \mathbb{Z}^n$. Denote by $d_μ$ the vector field: $$d_μ=\displaystyle\sum_{i=1}^nμ_it_i\frac{d}{dt_i}.$$ In \cite{BiFu}, Y. Billig and V. Futorny introduce the solenoidal Lie algebra $\mathbf{W}…

"Heavy rains and flooding kill dozens as #ExtremeWeather racks #Kenya
Devastating #floods during Kenya’s rainy season, aggravated by

Heavy rains and flooding kill dozens as extreme weather racks Kenya
The Red Cross reported at least 38 dead and almost 12,000 displaced after weeks of heavy rains swamped the country and caused rivers to burst their banks.

This https://arxiv.org/abs/2111.10409 has been replaced.
link: https://scholar.google.com/scholar?q=a

The Acrobatics of BQP
One can fix the randomness used by a randomized algorithm, but there is no analogous notion of fixing the quantumness used by a quantum algorithm. Underscoring this fundamental difference, we show that, in the black-box setting, the behavior of quantum polynomial-time ($\mathsf{BQP}$) can be remarkably decoupled from that of classical complexity classes like $\mathsf{NP}$. Specifically: -There exists an oracle relative to which $\mathsf{NP^{BQP}}\not\subset\mathsf{BQP^{PH}}$, resolving a 2005…