Tootfinder

This https://arxiv.org/abs/1807.03420 has been replaced.
link: https://scholar.google.com/scholar?q=a

A JSJ-type decomposition theorem for symplectic fillings
We establish a JSJ-type decomposition theorem for splitting exact symplectic fillings of contact 3-manifolds along \emph{mixed tori} -- these are convex tori satisfying a particular geometric condition. As an application, we show that if $(M,ξ)$ is obtained from $(S^3,ξ_{\mathrm{std}})$ via Legendrian surgery along a knot which has been stabilized both positively and negatively, then $(M,ξ)$ has a unique exact filling.

Im using case_when() quite a lot, case_match() is new to me: #rstats

A general vectorised switch() — case_match
This function allows you to vectorise multiple switch() statements. Each case is evaluated sequentially and the first match for each element determines the corresponding value in the output vector. If no cases match, the .default is used. case_match() is an R equivalent of the SQL "simple" CASE WHEN statement. Connection to case_when() While case_when() uses logical expressions on the left-hand side of the formula, case_match() uses values to match against .x with. The following two statement…

I'll be damned
With the fear in us
We chose the violent side of things in all
We always have chosen blood and gore above others
I'll be damned
With the fear in us
We walk with silent mouths throughout it all
We believe what we think we saw, it's coming
Unforeseen, the violence of this dream
This nightmare we conceived
The falling of this world we try to kill
Instead these empty words
Fills up th…

I left ESC right before the final points, afraid of how the mood in the hall might change. A shouting match between Israel and Austria supporters had already started.
I think the right singer won.
#esc2025 #eurovision2025

Modica type estimates and curvature results for overdetermined $p$-Laplace problems
Yuanyuan Lian, Jing Wu
https://arxiv.org/abs/2506.14579 https://…

Modica type estimates and curvature results for overdetermined $p$-Laplace problems
In this paper we prove Modica type estimates for the following overdetermined $p$-Laplace problem \begin{equation*} \begin{cases} \mathrm{div} \left(|\nabla u|^{p-2}\nabla u\right)+f(u) =0& \mbox{in $Ω$, } u>0 &\mbox{in $Ω$, } u=0 &\mbox{on $\partialΩ$, } \partial_ν u=-κ&\mbox{on $\partialΩ$, } \end{cases} \end{equation*} where $1

🇺🇦 #NowPlaying on KEXP's #MiddayShow
Flying Mojito Bros:
🎵 Glitter
#FlyingMojitoBros
https://flyingmojitobros.bandcamp.com/album/glitter
https://open.spotify.com/track/7jNsuvcAbrJjUeAY1UugmX
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Strain-tuning for superconductivity in La$_3$Ni$_2$O$_7$ thin films
Motoki Osada, Chieko Terakura, Akiko Kikkawa, Masamichi Nakajima, Hsiao-Yi Chen, Yusuke Nomura, Yoshinori Tokura, Atsushi Tsukazaki
https://arxiv.org/abs/2506.15319

Strain-tuning for superconductivity in La$_3$Ni$_2$O$_7$ thin films
The recent discovery of high-transition temperature ($T_\mathrm{c}$) superconductivity in pressurized La$_{3}$Ni$_{2}$O$_{7}$ bulk crystals has attracted keen attention due to its characteristic energy diagram of $e_{g}$ orbitals, containing nearly half-filled $d_{3z^2 - r^2}$ and quarter-filled $d_{x^2 - y^2}$ orbitals. This finding provides valuable insights into the orbital contributions and interlayer interactions in double NiO$_{6}$ octahedra, offering opportunities to control the electron…

On isomorphisms of semi-free Hamiltonian $S^1$-manifolds and fixed point data
Liat Kessler, Nikolas Wardenski
https://arxiv.org/abs/2505.14000 https://

On isomorphisms of semi-free Hamiltonian $S^1$-manifolds and fixed point data
Following Gonzales, we answer the question of whether the isomorphism type of a semi-free Hamiltonian $S^1$-manifold of dimension six is determined by certain data on the critical levels. We first give counter examples showing that Gonzales' assumptions are not sufficient for a positive answer. Then we prove that it is enough to further assume that the reduced spaces of dimension four are symplectic rational surfaces and the interior fixed surfaces are restricted to at most one level. The addit…

Approximate polymorphisms of predicates
Yaroslav Alekseev, Yuval Filmus
https://arxiv.org/abs/2506.12155 https://arxiv.org/pdf/2506.1…

Approximate polymorphisms of predicates
A generalized polymorphism of a predicate $P \subseteq \{0,1\}^m$ is a tuple of functions $f_1,\dots,f_m\colon \{0,1\}^n \to \{0,1\}$ satisfying the following property: If $x^{(1)},\dots,x^{(m)} \in \{0,1\}^n$ are such that $(x^{(1)}_i,\dots,x^{(m)}_i) \in P$ for all $i$, then also $(f_1(x^{(1)}),\dots,f_m(x^{(m)})) \in P$. We show that if $f_1,\dots,f_m$ satisfy this property for most $x^{(1)},\dots,x^{(m)}$ (as measured with respect to an arbitrary full support distribution $μ$ on $P$), th…

🇺🇦 #NowPlaying on KEXP's #MiddayShow
R.E.M.:
🎵 Feeling Gravity’s Pull
#REM
https://thesilencekit.bandcamp.com/track/feeling-gravitys-pull-r-e-m-cover
https://open.spotify.com/track/2n2l2dKnQX4ihHVe0dDUYf