Tootfinder

Hole Phenomenon of Gaussian Analytic Functions with Power-exponential Weights
Yun-Heng Du
https://arxiv.org/abs/2602.24193 https://arxiv.org/pdf/2602.24193…

Crosslisted article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- Reeb spaces of functions being analytic on dense subsets and their graph structures
Naoki Kitazawa

6 seems generous.

Crosslisted article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- Smooth Fractal Trees: Analytic Generators and Discrete Equivalence
Henk Mulder

Replaced article(s) found for nlin.PS. https://arxiv.org/list/nlin.PS/new
[1/1]:
- sangkuriang: A pseudo-spectral Python library for Korteweg-de Vries soliton simulation
Dasapta E. Irawan, Sandy H. S. Herho, Faruq Khadami, Iwan P. Anwar
https://arxiv.org/abs/2601.12029 https://mastoxiv.page/@arXiv_nlinPS_bot/115932078207209076
- Piecewise integrability of the discrete Hasimoto map for analytic prediction and design of helica...
Yiquan Wang
https://arxiv.org/abs/2602.16255 https://mastoxiv.page/@arXiv_qbioBM_bot/116096399354766559
toXiv_bot_toot

The Unitary Conjugation Groupoid as a Universal Mediator of the Baum--Connes Assembly Map
Shih-Yu Chang
https://arxiv.org/abs/2603.22162 https://arxiv.org/pdf/2603.22162 https://arxiv.org/html/2603.22162
arXiv:2603.22162v1 Announce Type: new
Abstract: We show that the Baum--Connes assembly map factors canonically through the unitary conjugation groupoid, which serves as a universal mediator among groupoid models that are Morita equivalent to a given transformation groupoid. This establishes a structural link between groupoid-based index theory and the Baum--Connes program at the level of K-theory. Building on our previous development of unitary conjugation groupoids and their associated index theory, we extend the $K_1$ index framework beyond the Type I setting to non-Type I examples, including the irrational rotation algebra and amenable crossed products. Using Morita equivalence, we relate unitary conjugation groupoids to transformation and action groupoids, enabling the transfer of descent-type index constructions to these settings. Our main result shows that, among all groupoid realizations that are Morita equivalent to a transformation groupoid, the factorization through the unitary conjugation groupoid is canonical at the level of K-theory. This identifies the unitary conjugation groupoid as a universal intermediary for the Baum--Connes assembly map. As applications, we recover the classical index pairing with the tracial state for the irrational rotation algebra in the sense of Connes, and we prove that for amenable crossed products the descent construction agrees with the analytic Baum--Connes assembly map under Morita equivalence. These results provide a conceptual interpretation of the assembly map in terms of internal symmetries of crossed product algebras and suggest a unified framework connecting Fredholm-type index data with equivariant K-theory via groupoid methods.
toXiv_bot_toot

Crosslisted article(s) found for nlin.PS. https://arxiv.org/list/nlin.PS/new
[1/1]:
- Piecewise integrability of the discrete Hasimoto map for analytic prediction and design of helica...
Yiquan Wang
https://arxiv.org/abs/2602.16255 https://mastoxiv.page/@arXiv_qbioBM_bot/116096399354766559
toXiv_bot_toot

Going into a tailspin near the abyss: analytic solutions for spinning particles on near equatorial, plunging orbits in Kerr spacetime
Gabriel Andres Piovano
https://arxiv.org/abs/2603.04682

An algebraic approach to the existence of valuative interpolation
Shijie Bao, Qi'an Guan, Zhitong Mi, Zheng Yuan
https://arxiv.org/abs/2602.03179 https://arxiv.org/pdf/2602.03179 https://arxiv.org/html/2602.03179
arXiv:2602.03179v1 Announce Type: new
Abstract: An algebraic approach is presented for the valuative interpolation problem, which recovers and generalizes prior characterizations known in the complex analytic setting by the authors. We use the asymptotic Samuel function to give the characterization of the existence of valuative interpolation. We also give a characterization of the existence in the infinite valuative interpolation problem.
toXiv_bot_toot

Analytic structure of $q$-pseudoconcave subsets of continuous graphs
Filippo Valnegri
https://arxiv.org/abs/2603.04967 https://arxiv.org/pdf/2603.04967

Analytic and quasiregular distortion of Nagata dimension
Manisha Garg, Jeremy T. Tyson
https://arxiv.org/abs/2603.00323 https://arxiv.org/pdf/2603.00323