Tootfinder

TECH 2025: Europas Abhängigkeit von US-Clouds und Rüstungsgütern ist gefährlich. Die Konferenz in Heilbronn fordert: Mehr Investitionen in eigene Technologien, weniger Bürokratie – und ein „Buy European Act“ für digitale Souveränität. #Handelsblatt:
TECH 2025: „Europa hat alles außer Zeit“ – TECH-Aufbruch in Heilbronn

This https://arxiv.org/abs/2505.23581 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Quantum Hilbert Transform
The Hilbert transform has been one of the foundational transforms in signal processing, finding it's way into multiple disciplines from cryptography to biomedical sciences. However, there does not exist any quantum analogue for the Hilbert transform. In this work, we introduce a formulation for the quantum Hilbert transform (QHT)and apply it to a quantum steganography protocol. By bridging classical phase-shift techniques with quantum operations, QHT opens new pathways in quantum signal process…

Wir freuen uns sehr über die Ehrung von Göttingen als 77te "#EPS historic site" und insbesondere auch die reichlichen Erwähnungen von Mathematikern, wie #Hilbert, #Klein,

Hilbert polynomials of configuration spaces over graphs of circumference at most 1
Byung Hee An, Jang Soo Kim
https://arxiv.org/abs/2505.24416 https://

Hilbert polynomials of configuration spaces over graphs of circumference at most 1
The $ k $-configuration space $ B_kΓ$ of a topological space $ Γ$ is the space of sets of $ k $ distinct points in $ Γ$. In this paper, we consider the case where $ Γ$ is a graph of circumference at most $1$. We show that for all $ k\ge0 $, the $ i $-th Betti number of $ B_kΓ$ is given by a polynomial $P_Γ^i(k)$ in $ k $, called the Hilbert polynomial of $ Γ$. We find an expression for the Hilbert polynomial $P_Γ^i(k)$ in terms of those coming from the canonical $1$-bridge decomposition…

This https://arxiv.org/abs/2409.07408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Hilbert schemes for crepant partial resolutions
For $n\geq 1$, we construct the Hilbert scheme of $n$ points on any crepant partial resolution of a Kleinian singularity as a Nakajima quiver variety for an explicit GIT stability parameter. This generalises and unifies existing quiver variety constructions of the Hilbert scheme of points on the minimal resolution of a Kleinian singularity, and on the Kleinian singularity itself.

The implications for Europe are disturbing. We are losing an important race
Russia is raining hellfire on Ukraine
https://www.economist.com/europe/2025/05/25/russia-is-raining-hellfire-on-ukraine?giftId=6c0b264d-3742-4b6b-8156-8c2c0e73d7d7&utm_campaign=gifted_article

On the discrete Hilbert-type operators
Jianjun Jin
https://arxiv.org/abs/2505.22972 https://arxiv.org/pdf/2505.22972

On the discrete Hilbert-type operators
Recently, Bansah and Sehba studied in [3] the boundedness of a family of Hilbert-type integral operators, in which they characterized the $L^{p}-L^{q}$ boundedness of the operators for $1\leq p\leq q\leq \infty$. In this paper, we deal with the corresponding discrete Hilbert-type operators acting on the weighted sequence spaces. We establish some sufficient and necessary conditions for the $l^{p}-l^{q}$ boundedness of the operators for $1\leq p\leq q\leq \infty$. We find out that the conditions…

This https://arxiv.org/abs/1812.11199 has been replaced.
link: https://scholar.google.com/scholar?q=a

Higher complex structures
We introduce and analyze a new geometric structure on topological surfaces generalizing the complex structure. To define this so called higher complex structure we use the punctual Hilbert scheme of the plane. The moduli space of higher complex structures is defined and is shown to be a generalization of the classical Teichmüller space. We give arguments for the conjectural isomorphism between the moduli space of higher complex structures and Hitchin's component.

Disordering a permutation symmetric system: revivals, thermalization and chaos
Manju C, Uma Divakaran, Arul Lakshminarayan
https://arxiv.org/abs/2505.24453

Disordering a permutation symmetric system: revivals, thermalization and chaos
This study explores the effects of introducing a symmetry breaking disorder on the dynamics of a system invariant under particle permutation. The disorder forces quantum states, confined to the $N+1$ dimensional completely symmetric space to penetrate the exponentially large $2^N$ dimensional Hilbert space of $N$ particles. In particular, we focus on the quantum kicked top as a Floquet system of $N$ qubits, and use linear entropy, measuring single qubit entanglement, to investigate the changes …

This https://arxiv.org/abs/2503.10090 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On characteristic cycles of irregular holonomic D-modules
Based on the recent progress in the irregular Riemann-Hilbert correspondence for holonomic D-modules, we show that the characteristic cycles of some standard irregular holonomic D-modules can be expressed as in the classical theorem of Ginsburg. For this purpose, we first prove a formula for the enhanced solution complexes of holonomic D-modules having a quasi-normal form, via which, to our surprise, their solution complexes can be calculated more easily by topological methods. In the formulati…