Tootfinder

Polyamorous Scheduling
Finding schedules for pairwise meetings between the members of a complex social group without creating interpersonal conflict is challenging, especially when different relationships have different needs. We formally define and study the underlying optimisation problem: Polyamorous Scheduling.
https://arxi…

Polyamorous Scheduling
Finding schedules for pairwise meetings between the members of a complex social group without creating interpersonal conflict is challenging, especially when different relationships have different needs. We formally define and study the underlying optimisation problem: Polyamorous Scheduling. In Polyamorous Scheduling, we are given an edge-weighted graph and try to find a periodic schedule of matchings in this graph such that the maximal weighted waiting time between consecutive occurrences o…

Charting the Complex Structure Landscape of F-theory
Damian van de Heisteeg
https://arxiv.org/abs/2404.03456 https://arxiv.org/pdf/24…

Charting the Complex Structure Landscape of F-theory
We explore the landscape of F-theory compactifications on Calabi--Yau fourfolds whose complex structure moduli space is the thrice-punctured sphere. As a first part, we enumerate all such Calabi--Yau fourfolds under the additional requirement that it has a large complex structure and conifold point at two of the punctures. We find 14 monodromy tuples by demanding the monodromy around infinity to be quasi-unipotent. As second part, we study the four different types of phases arising at infinity.…

On the Range of a class of Complex Monge-Amp\`ere operators on compact Hermitian manifolds
Yinji Li, Zhiwei Wang, Xiangyu Zhou
https://arxiv.org/abs/2404.03246

On the Range of a class of Complex Monge-Ampère operators on compact Hermitian manifolds
Let $(X,ω)$ be a compact Hermitian manifold of complex dimension $n$. Let $β$ be a smooth real closed $(1,1)$ form such that there exists a function $ρ\in \mbox{PSH}(X,β)\cap L^{\infty}(X)$. We study the range of the complex non-pluripolar Monge-Ampère operator $\langle(β+dd^c\cdot)^n\rangle$ on weighted Monge-Ampère energy classes on $X$. In particular, when $ρ$ is assumed to be continuous, we give a complete characterization of the range of the complex Monge-Ampère operator on the cl…

This https://arxiv.org/abs/2311.15859 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Efficient solution of the non-unitary time-dependent Schrodinger equation on a quantum computer with complex absorbing potential
We explore the possibility of adding complex absorbing potential at the boundaries when solving the one-dimensional real-time Schrödinger evolution on a grid using a quantum computer with a fully quantum algorithm described on a $n$ qubit register. Due to the complex potential, the evolution mixes real- and imaginary-time propagation and the wave function can potentially be continuously absorbed during the time propagation. We use the dilation quantum algorithm to treat the imaginary-time evol…

OpenAI says that paid users can now edit DALL-E images in ChatGPT across web, iOS, and Android, using a selection tool and additional text prompts (Ina Fried/Axios)
https://www.axios.com/2024/04/03/chatgpt-dalle-openai-editing-images

Paid ChatGPT customers can now use AI to edit DALL-E images
It's one more way AI is simplifying complex media editing tasks.

Polyamorous Scheduling
Finding schedules for pairwise meetings between the members of a complex social group without creating interpersonal conflict is challenging, especially when different relationships have different needs. We formally define and study the underlying optimisation problem: Polyamorous Scheduling.
https://arxi…

Polyamorous Scheduling
Finding schedules for pairwise meetings between the members of a complex social group without creating interpersonal conflict is challenging, especially when different relationships have different needs. We formally define and study the underlying optimisation problem: Polyamorous Scheduling. In Polyamorous Scheduling, we are given an edge-weighted graph and try to find a periodic schedule of matchings in this graph such that the maximal weighted waiting time between consecutive occurrences o…

This https://arxiv.org/abs/2402.06153 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Complex saddles of the Veneziano amplitude
Saddle point approximation is a useful method to explore high energy asymptotic behaviors of string scattering amplitudes. We show that, even at tree-level, there are infinitely many complex saddles contributing to string scattering amplitudes, and that the complex saddles reproduce their appropriate poles and zeros. Each complex saddle is interpreted as a semi-classical path of a string in Lorentzian signature. The poles and zeros of the Veneziano amplitude are understood as constructive or de…

On monogenic functions and the Dirac complex of two vector variables
Yun Shi, Wei Wang, Qingyan Wu
https://arxiv.org/abs/2404.03374 https://

On monogenic functions and the Dirac complex of two vector variables
A monogenic function of two vector variables is a function annihilated by the operator consisting of two Dirac operators, which are associated to two variables, respectively. We give the explicit form of differential operators in the Dirac complex resolving this operator and prove its ellipticity directly. This open the door to apply the method of several complex variables to investigate this kind of monogenic functions. We prove the Poincaré lemma for this complex, i.e. the non-homogeneous eq…

Some users turn to AI therapist chatbots, finding them cheap, quick, available 24/7, and easy to talk to, but experts warn about a lack of emotional connection (Alice Robb/The Guardian)
https://www.theguardian.com/lifeandstyle/2

Some users turn to AI therapist chatbots, finding them cheap, quick, available 24/7, and easy to talk to, but experts warn about a lack of emotional connection (Alice Robb/The Guardian)
https://www.theguardian.com/lifeandstyle/2