Tootfinder

Pull-back and push-forward functors for holonomic modules over Cherednik algebras
Gwyn Bellamy, Pavel Etingof, Daniel Thompson
https://arxiv.org/abs/2402.18210

Pull-back and push-forward functors for holonomic modules over Cherednik algebras
In this article we continue the study of holonomic modules over sheaves of Cherednik algebras, initiated by the third author in [Tho18]. Working with arbitrary parameters, we first develop a theory of $b$-functions to prove that push-forward along open embeddings preserves holonomicity. This implies that pull-back along closed embeddings also preserves holonomicity. We use these facts to show that both push-forward and pull-back under any melys morphism preserves holonomicity. Since duality pre…

Higher categories of push-pull spans, I: Construction and applications
Lorenzo Riva
https://arxiv.org/abs/2404.14597 https://arxiv.or…

Higher categories of push-pull spans, I: Construction and applications
This is the first part of a project aimed at formalizing Rozansky-Witten models in the functorial field theory framework. Motivated by work of Calaque-Haugseng-Scheimbauer [CHS22], we construct a family of symmetric monoidal $(\infty,3)$-categories $\mathscr{PP}(\mathscr{C}; Q^\otimes)$ parametrized by an $\infty$-category $\mathscr{C}$ with finite limits and a representable functor $\mathscr{Q}^\otimes = \mathscr{C}(-, Q^\otimes) : \mathscr{C}^\mathrm{op} \to \mathrm{CAlg}(\mathscr{C}\mathrm{a…

Coexistence of Push Wireless Access with Pull Communication for Content-based Wake-up Radios
Junya Shiraishi, Sara Cavallero, Shashi Raj Pandey, Fabio Saggese, Petar Popovski
https://arxiv.org/abs/2404.12816

Coexistence of Push Wireless Access with Pull Communication for Content-based Wake-up Radios
This paper considers energy-efficient connectivity for Internet of Things (IoT) devices in a coexistence scenario between two distinctive communication models: pull- and push-based. In pull-based, the base station (BS) decides when to retrieve a specific type of data from the IoT devices, while in push-based, the IoT device decides when and which data to transmit. To this end, this paper advocates introducing the content-based wake-up (CoWu), which enables the BS to remotely activate only a sub…

Lagrangian families of Bridgeland moduli spaces from Gushel-Mukai fourfolds and double EPW cubes
Soheyla Feyzbakhsh, Hanfei Guo, Zhiyu Liu, Shizhuo Zhang
https://arxiv.org/abs/2404.11598

Lagrangian families of Bridgeland moduli spaces from Gushel-Mukai fourfolds and double EPW cubes
Let $X$ be a very general Gushel-Mukai (GM) variety of dimension $n\geq 4$, and let $Y$ be a smooth hyperplane section. There are natural pull-back and push-forward functors between the semi-orthogonal components (known as the Kuznetsov components) of the derived categories of $X$ and $Y$. In the first part of the paper, we prove that the Bridgeland stability of objects is preserved by both pull-back and push-forward functors. We then explore various applications of this result, such as constru…

Git has a lot of verbs, and I'm frequently catching myself using the wrong one. Push, pull, clone, branch, commit, merge, chuck, upchuck, reupchuck, yeet, pempslider. It's all so confusing.
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#ScottHumor

Coexistence of Pull and Push Communication in Wireless Access for IoT Devices
Sara Cavallero, Fabio Saggese, Junya Shiraishi, Shashi Raj Pandey, Chiara Buratti, Petar Popovski
https://arxiv.org/abs/2404.07650

Coexistence of Pull and Push Communication in Wireless Access for IoT Devices
We consider a setup with Internet of Things (IoT), where a base station (BS) collects data from nodes that use two different communication modes. The first is pull-based, where the BS retrieves the data from specific nodes through queries. In addition, the nodes that apply pull-based communication contain a wake-up receiver: upon a query, the BS sends wake-up signal (WuS) to activate the corresponding devices equipped with wake-up receiver (WuDs). The second one is push-based communication, in …

This https://arxiv.org/abs/2106.07243 has been replaced.
link: https://scholar.google.com/scholar?q=a

Compressed Gradient Tracking for Decentralized Optimization Over General Directed Networks
In this paper, we propose two communication efficient decentralized optimization algorithms over a general directed multi-agent network. The first algorithm, termed Compressed Push-Pull (CPP), combines the gradient tracking Push-Pull method with communication compression. We show that CPP is applicable to a general class of unbiased compression operators and achieves linear convergence rate for strongly convex and smooth objective functions. The second algorithm is a broadcast-like version of C…

Git has a lot of verbs, and I'm frequently catching myself using the wrong one. Push, pull, clone, branch, commit, merge, chuck, upchuck, reupchuck, yeet, pempslider. It's all so confusing.
.
#ScottHumor

Analytic holonomicity of real C$^{{\mathrm{exp}}}$-class distributions
Avraham Aizenbud, Raf Cluckers, Michel Raibaut, Tamara Servi
https://arxiv.org/abs/2403.20167

Analytic holonomicity of real C$^{\mathrm{exp}}$-class distributions
We introduce a notion of distributions on $\mathbb{R}^n$, called distributions of C$^{\mathrm{exp}}$-class, based on wavelet transforms of distributions and the theory from [6] about C$^{\mathrm{exp}}$-class functions. We prove that the framework of C$^{\mathrm{exp}}$-class distributions is closed under natural operations, like push-forward, pull-back, derivation and antiderivation, and, in the tempered case, Fourier transforms. Our main result is the (real analytic) holonomicity of all distrib…