Tootfinder

We watched the #EngEsp #Euros final in a pub in Brecon, south Wales, and even the locals cheered when England won! (The gargoyles on a local church represent the mood when it went to penalties)

...der Versuchung des Symbolkitsch erlegen.

My soundtrack today: https://radioparadise.com/home
(Actually, the Main Mix there is my soundtrack every day…)

An eclectic musical adventure...
Radio Paradise streams highly curated, eclectic mixes of music -- chosen by real humans -- with unparalleled audio quality.

When it comes to the degradation of our collective critical faculties, I am not sure if naming #socialmedia as the sole cause really explains it. I'd like to read a study exploring the detrimental effect of #realitytv in the decade before the 2010s on this...

The sheer horror of browsing from stories about the lead-up to the women's Euros match today then seeing this, I guess because it's also about a women-only thing https://www.bbc.co.uk/news/articles/c74z4gy5g31o

Gaza aid site offered a 'women only' day. It didn't stop the killing
Families say mothers Mary Sheikh al-Eid and Khadija Abu Anza were shot while seeking aid from GHF station in southern Gaza.

This https://arxiv.org/abs/2401.06584 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Dagger categories and the complex numbers: Axioms for the category of finite-dimensional Hilbert spaces and linear contractions
We unravel a deep connection between limits of real numbers and limits in category theory. Using a new variant of the classical characterisation of the real numbers, we characterise the category of finite-dimensional Hilbert spaces and linear contractions in terms of simple category-theoretic structures and properties that do not refer to norms, continuity, or real numbers. This builds on Heunen, Kornell, and Van der Schaaf's easier characterisation of the category of all Hilbert spaces and lin…

🎉🎉🎉 https://samenet.social/@mbergnordlie/114754259710178079

Boardda Mihkkal (@mbergnordlie@samenet.social)
Attached: 1 image Enstemmig høyesterettsdom I fosenaksjonistenes favør! https://www.nrk.no/trondelag/hoyesterett_-fosen-aksjonistene-kan-ikke-straffes-1.17472171 #Allheimen #NorskTut

Efficient and Reuseable Cloud Configuration Search Using Discovery Spaces
Michael Johnston, Burkhard Ringlein, Christoph Hagleitner, Alessandro Pomponio, Vassilis Vassiliadis, Christian Pinto, Srikumar Venugopal
https://arxiv.org/abs/2506.21467

Efficient and Reuseable Cloud Configuration Search Using Discovery Spaces
Finding the optimal set of cloud resources to deploy a given workload at minimal cost while meeting a defined service level agreement is an active area of research. Combining tens of parameters applicable across a large selection of compute, storage, and services offered by cloud providers with similar numbers of application-specific parameters leads to configuration spaces with millions of deployment options. In this paper, we propose Discovery Space, an abstraction that formalizes the descr…

#CFP: Embodied Spaces: Digital Reconfigurations of Experience
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Embodied Spaces: Digital Reconfigurations of Experience
via Input 4 RELCFP

#CFP: Embodied Spaces: Digital Reconfigurations of Experience
Embodied Spaces: Digital Reconfigurations of Experience

Operator with the Kato property on Banach spaces
Mar Jim\'enez Sevilla, Sebasti\'an Lajara L\'opez, Miguel \'Angel Ruiz Risue\~no
https://arxiv.org/abs/2506.21264 …

Operator with the Kato property on Banach spaces
We consider a class of bounded linear operators between Banach spaces, which we call operators with the Kato property, that includes the family of strictly singular operators between those spaces. We show that if $T:E\to F$ is a dense-range operator with that property and $E$ has a separable quotient, then for each proper dense operator range $R\subset E$ there exists a closed subspace $X\subset E$ such that $E/X$ is separable, $T(X)$ is dense in $F$ and $R+X$ is infinite-codimensional. If $E^*…

How popular media gets love wrong
Now a bit of background about why I have this "engineered" model of love:
First, I'm a white straight cis man. I've got a few traits that might work against my relationship chances (e.g., neurodivergence; I generally fit pretty well into the "weird geek" stereotype), but as I was recently reminded, it's possible my experience derives more from luck than other factors, and since things are tilted more in my favor than most people on the planet, my advice could be worse than useless if it leads people towards strategies that would only have worked for someone like me. I don't *think* that's the case, but it's worth mentioning explicitly.
When I first started dating my now-wife, we were both in graduate school. I was 26, and had exactly zero dating/romantic experience though that point in my life. In other words, a pretty stereotypical "incel" although I definitely didn't subscribe to incel ideology at all. I felt lonely, and vaguely wanted a romantic relationship (I'm neither aromantic nor asexual), but had never felt socially comfortable enough to pursue one before. I don't drink and dislike most social gatherings like parties or bars; I mostly hung around the fringes of the few college parties I attended, and although I had a reasonable college social life in terms of friends, I didn't really do anything to pursue romance, feeling too awkward to know where to start. I had the beginnings of crushes in both high school and college, but never developed a really strong crush, probably correlated with not putting myself in many social situations outside of close all-male friend gatherings. I never felt remotely comfortable enough to act on any of the proto-crushes I did have. I did watch porn and masturbate, so one motivation for pursuing a relationship was physical intimacy, but loneliness was as much of a motivating factor, and of course the social pressure to date was a factor too, even though I'm quite contrarian.
When I first started dating my now-wife, we were both in graduate school. I was 26, and had exactly zero dating/romantic experience though that point in my life. In other words, a pretty stereotypical "incel" although I definitely didn't subscribe to incel ideology at all. I felt lonely, and vaguely wanted a romantic relationship (I'm neither aromantic nor asexual), but had never felt socially comfortable enough to pursue one before. I don't drink and dislike most social gatherings like parties or bars; I mostly hung around the fringes of the few college parties I attended, and although I had a reasonable college social life in terms of friends, I didn't really do anything to pursue romance, feeling too awkward to know where to start. I had the beginnings of crushes in both high school and college, but never developed a really strong crush, probably correlated with not putting myself in many social situations outside of close all-male friend gatherings. I never felt remotely comfortable enough to act on any of the proto-crushes I did have. I did watch porn and masturbate, so one motivation for pursuing a relationship was physical intimacy, but loneliness was as much of a motivating factor, and of course the social pressure to date was a factor too, even though I'm quite contrarian.
I'm lucky in that I had some mixed-gender social circles already like intramural soccer and a graduate-student housing potluck. Graduate school makes a *lot* more of these social spaces accessible, so I recognize that those not in school of some sort have a harder time of things, especially if like me they don't feel like they fit in in typical adult social spaces like bars.
However, at one point I just decided that my desire for a relationship would need action on my part and so I'd try to build a relationship and see what happened. I worked up my courage and asked one of the people in my potluck if she'd like to go for a hike (pretty much clearly a date but not explicitly one; in retrospect not the best first-date modality in a lot of ways, but it made a little more sense in our setting where we could go for a hike from our front door). To emphasize this point: I was not in love with (or even infatuated with) my now-wife at that point. I made a decision to be open to building a relationship, but didn't follow the typical romance story formula beyond that. Now of course, in real life as opposed to popular media, this isn't anything special. People ask each other out all the time just because they're lonely, and some of those relationships turn out fine (although many do not).
I was lucky in that some aspects of who I am and what I do happened to be naturally comforting to my wife (natural advantage in the "appeal" model of love) but of course there are some aspects of me that annoy my wife, and we negotiate that. In the other direction, there's some things I instantly liked about my wife, and other things that still annoy me. We've figured out how to accept a little, change a little, and overall be happy with each other (though we do still have arguments; it's not like the operation/construction/maintenance of the "love mechanism" is always perfectly smooth). In particular though, I approached the relationship with the attitude of "I want to try to build a relationship with this person," at first just because of my own desires for *any* relationship, and then gradually more and more through my desire to build *this specific* relationship as I enjoyed the rewards of companionship.
So for example, while I think my wife is objectively beautiful, she's also *subjectively* very beautiful *to me* because having decided to build a relationship with her, I actively tried to see her as beautiful, rather than trying to judge whether I wanted a relationship with her based on her beauty. In other words, our relationship is more causative of her beauty-to-me than her beauty-to-me is causative of our relationship. This is the biggest way I think the "engineered" model of love differs from the "fire" and "appeal" models: you can just decide to build love independent of factors we typically think of as engendering love (NOT independent of your partner's willingness to participate, of course), and then all of those things like "thinking your partner is beautiful" can be a result of the relationship you're building. For sure those factors might affect who is willing to try building a relationship with you in the first place, but if more people were willing to jump into relationship building (not necessarily with full commitment from the start) without worrying about those other factors, they might find that those factors can come out of the relationship instead of being prerequisites for it. I think this is the biggest failure of the "appeal" model in particular: yes you *do* need to do things that appeal to your partner, but it's not just "make myself lovable" it's also: is your partner putting in the effort to see the ways that you are beautiful/lovable/etc., or are they just expecting you to become exactly some perfect person they've imagined (and/or been told to desire by society)? The former is perfectly possible, and no less satisfying than the latter.
To cut off my rambling a bit here, I'll just add that in our progress from dating through marriage through staying-married, my wife and I have both talked at times explicitly about commitment, and especially when deciding to get married, I told her that I knew I couldn't live up to the perfect model of a husband that I'd want to be, but that if she wanted to deepen our commitment, I was happy to do that, and so we did. I also rearranged my priorities at that point, deciding that I knew I wanted to prioritize this relationship above things like my career or my research interests, and while I've not always been perfect at that in my little decisions, I've been good at holding to that in my big decisions at least. In the end, *once we had built a somewhat-committed relationship*, we had something that we both recognized was worth more than most other things in life, and that let us commit even more, thus getting even more out of it in the long term. Obviously you can't start the first date with an expectation of life-long commitment, and you need to synchronize your increasing commitment to a relationship so that it doesn't become lopsided, which is hard. But if you take the commitment as an active decision and as the *precursor* to things like infatuation, attraction, etc., you can build up to something that's incredibly strong and rewarding.
I'll follow this up with one more post trying to distill some advice from my ramblings.
#relationships #love

Solving Mean-Field Games with Monotonicity Methods in Banach Spaces?
Rita Ferreira, Diogo Gomes, Melih Ucer
https://arxiv.org/abs/2506.21212 https://

Solving Mean-Field Games with Monotonicity Methods in Banach Spaces?
This paper develops a unified framework for proving the existence of solutions to stationary first-order mean-field games (MFGs) based on the theory of monotone operators in Banach spaces. We cast the coupled MFG system as a variational inequality, overcoming the limitations of prior Hilbert-space approaches that relied on high-order regularization and typically yielded only weak solutions in the monotone operator sense. In contrast, with our low-order regularization, we obtain strong solutions…

Tractable Metric Spaces and the Continuity of Magnitude
Sara Kali\v{s}nik, Davorin Le\v{s}nik
https://arxiv.org/abs/2506.21128 https://

Tractable Metric Spaces and the Continuity of Magnitude
Magnitude is an isometric invariant of metric spaces introduced by Leinster. Since its inception, it has inspired active research into its connections with integral geometry, geometric measure theory, fractal dimensions, persistent homology, and applications in machine learning. In particular, when it comes to applications, continuity and stability of invariants play an important role. Although it has been shown that magnitude is nowhere continuous on the Gromov--Hausdorff space of finite metri…

Under Pressure From Trump, UVA President Reportedly Resigns https://www.insidehighered.com/news/government/politics-elections/2025/06/27/university-virginia-president-resigns-after-trumps

University of Virginia President Resigns After Trump’s Demands
The move is a “major blow” to the independence of American institutions, one expert said.

On Bergman type projection in some new analytic function spaces in bounded strongly pseudoconvex domains
R. F. Shamoyan, E. B. Tomashevskaya
https://arxiv.org/abs/2506.20913

On Bergman type projection in some new analytic function spaces in bounded strongly pseudoconvex domains
We prove the boundedness of Bergman type projections in two different analytic function spaces in bounded strongly pseudoconvex domains with the smooth boundary. Our results were previously well-known in the case of the unit disk.

On the symmetry behind duality
Marco Abbadini, Achim Jung
https://arxiv.org/abs/2507.18245 https://arxiv.org/pdf/2507.18245

On the symmetry behind duality
Open sets and compact saturated sets enjoy a perfect formal symmetry, at least for classes of spaces such as Stone spaces or spectral spaces. For larger classes of spaces, a perfect symmetry may not be available, although strong signs of it may remain. These signs appear especially in the classes of spaces involved in Stone-like dualities (such as sober spaces). In this article, we introduce a framework with a perfect symmetry between open sets and compact saturated sets, and which includes s…

Cemeteries nationwide are coming up with creative ways to "liven up" their wide-open green spaces.
From a beekeeping collective in Seattle to “Night of Grief” karaoke in Washington DC,
cemetery owners say events help them reconnect with the local community
and sometimes bring in some much-needed funds.
Visitors say they enjoy the cool vibe, family- and dog-friendly areas and innovative ideas.
Cemeteries have always been community spaces in the United …

Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy
A. Perez-Lona, E. Sharpe, X. Yu
https://arxiv.org/abs/2506.19909

Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy
In this note, we propose an extension of the relation between worldsheet global symmetries and structures over moduli spaces of superconformal field theories (SCFTs) to include noninvertible symmetries. The most familiar examples of such structures associated to an ordinary symmetry are the Bagger-Witten line bundles, which arise over the moduli spaces of two-dimensional N=(2,2) SCFTs from a non-anomalous worldsheet U(1)_R symmetry and its associated spectral flow operators. Generalizing this s…

Pseudo-Anosov flows on hyperbolic L-spaces
John A. Baldwin, Steven Sivek, Jonathan Zung
https://arxiv.org/abs/2505.21113 https://arxi…

Pseudo-Anosov flows on hyperbolic L-spaces
We prove that for each $n\in\mathbb{N}$ there is a hyperbolic L-space with $n$ pseudo-Anosov flows, no two of which are orbit equivalent. These flows have no perfect fits and are thus quasigeodesic. In addition, our flows admit positive Birkhoff sections, which we argue implies that they give rise to $n$ universally tight contact structures whose lifts to any finite cover are non-contactomorphic. This argument involves cylindrical contact homology together with the work of Barthelmé, Frankel, …

This https://arxiv.org/abs/2411.15070 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

$\ell^p$-coarse Baum-Connes conjecture for $\ell^{q}$-coarse embeddable spaces
We prove an $\ell^p$-version of the coarse Baum-Connes conjecture for spaces that coarsely embedds into $\ell^q$-spaces for any $p$ and $q$ in $[1,\infty)$.

Functional Periodic ARMA Processes
Sebastian K\"uhnert, Juhyun Park
https://arxiv.org/abs/2507.18962 https://arxiv.org/pdf/2507.18962

Functional Periodic ARMA Processes
Periodicity is a common feature in functional time series analysis. While autoregressive models in Hilbert spaces have been extended to incorporate it, existing approaches often remain loosely specified or fail to capture inter-seasonal dependencies. This paper introduces periodic autoregressive moving average (fpARMA) processes in general separable Hilbert spaces that fully model inter-seasonal structure. We establish conditions for periodic stationarity, finite moments, and weak dependence, a…

– Det er mye verre enn du tror
Eksperter NRK kontakter for å snakke om hva som skjer i USA nå, tŸr ikke stå frem i frykt for konsekvensene. https://www.nrk.no/norge/eksperter-vegrer-seg-for-a-snakke-om-usa-1.17420296

Eksperter vegrer seg for å snakke om USA
Eksperter NRK kontakter for å snakke om hva som skjer i USA nå, tør ikke stå frem i frykt for konsekvensene.

Maximizing measures for countable alphabet shifts via blur shift spaces
Eduardo Garibaldi, Jo\~ao T A Gomes, Marcelo Sobottka
https://arxiv.org/abs/2507.18736 https://

Maximizing measures for countable alphabet shifts via blur shift spaces
For upper semi-continuous potentials defined on shifts over countable alphabets, this paper ensures sufficient conditions for the existence of a maximizing measure. We resort to the concept of blur shift, introduced by T. Almeida and M. Sobottka as a compactification method for countable alphabet shifts consisting of adding new symbols given by blurred subsets of the alphabet. Our approach extends beyond the Markovian case to encompass more general countable alphabet shifts. In particular, we g…

Coarse Separation of Coarse PD(n) spaces
Harsh Patil
https://arxiv.org/abs/2506.21492 https://arxiv.org/pdf/2506.21492

Coarse Separation of Coarse PD(n) spaces
We show that if a subspace $A$ of a coarse $PD(n)$ metric space $X$ coarsely separates it, then it must have asymptotic dimension at least $n-1$.

Thoughts on running local, privacy aware LLMs and other AI/ML via GPT4All, PrivateGPT, OLMo 2 or Ollama?
I have an M3 Macbook Air and limited capacity for faff right now

#CFP: Embodied Spaces: Digital Reconfigurations of Experience
https://ift.tt/ev3T4fs
Embodied Spaces: Digital Reconfigurations of Experience
via Input 4 RELCFP

#CFP: Embodied Spaces: Digital Reconfigurations of Experience
Embodied Spaces: Digital Reconfigurations of Experience

The Effect of Scale Consistency between Real and Virtual Spaces on Immersion in Exhibition Hybrid Spaces
Qiong Wu, Yan Dong, Zipeng Zhang, Ruochen Hu
https://arxiv.org/abs/2507.16542

The Effect of Scale Consistency between Real and Virtual Spaces on Immersion in Exhibition Hybrid Spaces
In exhibition hybrid spaces, scale consistency between real and virtual spaces is crucial for user immersion. However, there is currently a lack of systematic research to determine appropriate virtual-to-real mapping ratios. This study developed an immersive interaction system based on Intel 3D Athlete Tracking body mapping technology. Two experiments investigated the impact of virtual space and virtual avatar scale on immersion. Experiment 1 investigated 30 participants' preferences for virtua…

A 1980s cost-of-living crisis gave Australia a thriving arts program – could we do it again? https://theconversation.com/a-1980s-cost-of-living-crisis-gave-australia-a-thriving-arts-program-could-we-do-it-again…

A 1980s cost-of-living crisis gave Australia a thriving arts program – could we do it again?
Four decades ago, amid a cost-of-living crisis, rising unemployment and stagnant wages, a unique partnership between artists and trade unions thrived.

\v{C}ech cohomology of infinite projective spaces, flag manifolds, and related spaces
David Anderson, Matthias Franz
https://arxiv.org/abs/2506.16487 https…

Čech cohomology of infinite projective spaces, flag manifolds, and related spaces
We compute the Čech cohomology ring of a countable product of infinite projective spaces, and that of an infinite flag manifold. The method of our first result in fact computes the cohomology ring (with integer coefficients) of a countably infinite product of paracompact Hausdorff spaces, under some mild assumptions.

Posterior Contraction for Sparse Neural Networks in Besov Spaces with Intrinsic Dimensionality
Kyeongwon Lee, Lizhen Lin, Jaewoo Park, Seonghyun Jeong
https://arxiv.org/abs/2506.19144

Posterior Contraction for Sparse Neural Networks in Besov Spaces with Intrinsic Dimensionality
This work establishes that sparse Bayesian neural networks achieve optimal posterior contraction rates over anisotropic Besov spaces and their hierarchical compositions. These structures reflect the intrinsic dimensionality of the underlying function, thereby mitigating the curse of dimensionality. Our analysis shows that Bayesian neural networks equipped with either sparse or continuous shrinkage priors attain the optimal rates which are dependent on the intrinsic dimension of the true structu…

Hvor var KI-ekspertene fŸr det smalt? spŸr Kenth-Arne Hansson i Khrono. https://www.khrono.no/hvor-var-ki-ekspertene-for-det-smalt/970818
Mitt svar viser til at dersom flere hŸrte på det kunstnere sier og kunsten viser ville samfunnet være bedre rustet…

Hvor var KI-ekspertene før det smalt?
Skoler og universiteter ble tatt på sengen og famler i møtet med kunstig intelligens. Hvorfor ble vi ikke varslet av et akademia som i tiår har sittet med innsikten?

An object-centric core metamodel for IoT-enhanced event logs
Yannis Bertrand, Christian Imenkamp, Lukas Malburg, Matthias Ehrendorfer, Marco Franceschetti, Joscha Gr\"uger, Francesco Leotta, J\"urgen Mangler, Ronny Seiger, Agnes Koschmider, Stefanie Rinderle-Ma, Barbara Weber, Estefania Serral
https://arxiv.org/abs/250…

An object-centric core metamodel for IoT-enhanced event logs
Advances in Internet-of-Things (IoT) technologies have prompted the integration of IoT devices with business processes (BPs) in many organizations across various sectors, such as manufacturing, healthcare and smart spaces. The proliferation of IoT devices leads to the generation of large amounts of IoT data providing a window on the physical context of BPs, which facilitates the discovery of new insights about BPs using process mining (PM) techniques. However, to achieve these benefits, IoT dat…

Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks
Pietro Giuseppe Fr\'e, Federico Milanesio, Guido Sanguinetti, Matteo Santoro
https://arxiv.org/abs/2507.16871

Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks
Recent work has identified non-compact symmetric spaces U/H as a promising class of homogeneous manifolds to develop a geometrically consistent theory of neural networks. An initial implementation of these concepts has been presented in a twin paper under the moniker of Cartan Neural Networks, showing both the feasibility and the performance of these geometric concepts in a machine learning context. The current paper expands on the mathematical structures underpinning Cartan Neural Networks, de…

Monocular Vision-Based Swarm Robot Localization Using Equilateral Triangular Formations
Taewon Kang, Ji-Wook Kwon, Il Bae, Jin Hyo Kim
https://arxiv.org/abs/2507.19100 https://

Monocular Vision-Based Swarm Robot Localization Using Equilateral Triangular Formations
Localization of mobile robots is crucial for deploying robots in real-world applications such as search and rescue missions. This work aims to develop an accurate localization system applicable to swarm robots equipped only with low-cost monocular vision sensors and visual markers. The system is designed to operate in fully open spaces, without landmarks or support from positioning infrastructures. To achieve this, we propose a localization method based on equilateral triangular formations. By …

Europeana want you to 'Share your views about AI and digital cultural heritage' to inform the common European data space for cultural heritage https://pro.europeana.eu/post/share-your-views-about-ai-and-digital-cultural-heritage…

Introduction to the Cohomology of the Flag Variety
Sara C. Billey, Yibo Gao, Brendan Pawlowski
https://arxiv.org/abs/2506.21064 https://

Introduction to the Cohomology of the Flag Variety
One hundred years ago, Hilbert gave a list of important open problems in mathematics. His 15th problem asked for the development of a rigorous calculus explaining Schubert's enumerative results for intersecting varieties defined by rank conditions on vector spaces. Today by way of many contributions in algebraic topology, geometry, and combinatorics, we consider this solved. Yet, deep questions remain about the subtleties of actually carrying out the process. In this chapter, we hope to summari…

Series representation in tensor products of Banach spaces
Jochen Wengenroth
https://arxiv.org/abs/2506.21344 https://arxiv.org/pdf/25…

Series representation in tensor products of Banach spaces
We show by a ridiculously simple argument that, for any norm on the tensor product of vector spaces, every element of the completion can be represented as a convergent series of elementary tensors.

Reflections on Rota-Baxter Lie algebras, the classical reflection equation and Poisson homogeneous spaces
Honglei Lang, Yunhe Sheng
https://arxiv.org/abs/2506.20276

Reflections on Rota-Baxter Lie algebras, the classical reflection equation and Poisson homogeneous spaces
In this paper, first we introduce the notion of reflections on quadratic Rota-Baxter Lie algebras of weight $λ$, and show that they give rise to solutions of the classical reflection equation for the corresponding triangular Lie bialgebra ($λ=0$) and factorizable Lie bialgebra ($λ\neq0$). Then we study reflections on relative Rota-Baxter Lie algebras, and also show that they give rise to solutions of the classical reflection equation for certain Lie bialgebras determined by the relative Rota…

Derived analytic geometry: Derived K\"ahler space and Hodge theory
Eita Haibara
https://arxiv.org/abs/2506.19629 https://arxiv.o…

Derived analytic geometry: Derived Kähler space and Hodge theory
We introduce higher analytic geometry, a novel framework extending Lurie's derived complex analytic spaces. This theory generalizes classical complex analytic geometry, enabling the study of derived Kähler spaces with non-trivial higher homotopy groups. We develop derived de Rham and Dolbeault cohomologies, yielding a Hodge decomposition for compact derived Kähler spaces, and establish a derived Stokes' theorem, unifying classical results with homotopical structures.

The “Emerging” Reality from “Hidden” Spaces
https://www.mdpi.com/2218-1997/7/3/75

Explainable Mapper: Charting LLM Embedding Spaces Using Perturbation-Based Explanation and Verification Agents
Xinyuan Yan, Rita Sevastjanova, Sinie van der Ben, Mennatallah El-Assady, Bei Wang
https://arxiv.org/abs/2507.18607

Explainable Mapper: Charting LLM Embedding Spaces Using Perturbation-Based Explanation and Verification Agents
Large language models (LLMs) produce high-dimensional embeddings that capture rich semantic and syntactic relationships between words, sentences, and concepts. Investigating the topological structures of LLM embedding spaces via mapper graphs enables us to understand their underlying structures. Specifically, a mapper graph summarizes the topological structure of the embedding space, where each node represents a topological neighborhood (containing a cluster of embeddings), and an edge connects…

d-Boolean algebras and their bitopological representation
Hang Yang, Dexue Zhang
https://arxiv.org/abs/2505.17806 https://arxiv.org/p…

d-Boolean algebras and their bitopological representation
We present a Stone duality for bitopological spaces in analogy to the duality between Stone spaces and Boolean algebras, in the same vein as the duality between d-sober bitopological spaces and spatial d-frames established by Jung and Moshier. Precisely, we introduce the notion of d-Boolean algebras and prove that the category of such algebras is dually equivalent to the category of Stone bitopological spaces, which are compact and zero-dimensional bitopological spaces satisfying the T0 separat…

I'm looking forward to discussing 'What can heritage do for society in the future?' at the '20 years of Sustainable Heritage at UCL' celebration on June 12
Some tickets still available https://www.ucl.ac.uk/bartlett/events/2025

Celebrating 20 years of Sustainable Heritage at UCL
Join us for this celebration of the 20th anniversary of the Sustainable Heritage MSc programme at UCL Institute for Sustainable Heritage.

Asymptotic stability of solutions to semilinear evolution equations in Banach spaces
Francesco Cellarosi, Anirban Dutta, Giusy Mazzone
https://arxiv.org/abs/2506.21437

Asymptotic stability of solutions to semilinear evolution equations in Banach spaces
We prove a new linearization principle for the nonlinear stability of solutions to semilinear evolution equations of parabolic type. We assume that the set of equilibria forms a finite dimensional manifold of normally stable and normally hyperbolic equilibria. In addition, we assume that the linearized operator is the generator of an analytic semigroup (not necessarily stable). We show that if a mild solution to our evolution equation exists globally in time and remains ``close'' to the manifol…

Fractional order derivative characterizations of Besov-Morrey type spaces with applications
Chen Lu, Mingjin Li, Jianren Long
https://arxiv.org/abs/2505.20709

Fractional order derivative characterizations of Besov-Morrey type spaces with applications
On the one hand, the fractional order derivative characterization of the Besov-Morrey type space $B_{p}^{K}(s)$ is established by $K$-Carleson measures, and it was also shown that $f \in B_{p}^{K}(s_1) \Leftrightarrow f^{\left(\frac{s_2 - s_1}{p}\right)} \in B_{p}^{K}(s_2)$, which extended the results of Sun et al. on the fractional derivative of Morrey type space. On the other hand, some sufficient conditions for the growth of solutions to linear complex differential equations have been obtain…

We've added our reviewing criteria to our Frequently Asked Questions on the #AI4LAM #FF2025 Fantastic Futures 2025 conference page https:/…

ai4lam - Fantastic Futures 2025
Call for Proposals AI Everywhere, All at Once AI4LAM’s annual conference, December 3 – 5, 2025, British Library, London The British Library and the Programme Committee for the Fantastic Futures 2025 conference are delighted to invite proposals for presentations and workshops. Submissions are

The #OpenAI paper by Baker et al, "Monitoring Reasoning Models for Misbehavior and the Risks of Promoting Obfuscation" comes to a troubling conclusion: #LLM s with #reasoning or

Representing Locally Hilbert Spaces and Functional Models for Locally Normal Operators
Aurelian Gheondea
https://arxiv.org/abs/2507.19101 https://arxiv.org…

Representing Locally Hilbert Spaces and Functional Models for Locally Normal Operators
The aim of this article is to explore in all remaining aspects the spectral theory of locally normal operators. In a previous article we proved the spectral theorem in terms of locally spectral measures. Here we prove the spectral theorem in terms of projective limits of certain multiplication operators with functions which are locally of type $L^\infty$. In order to do this, we first investigate strictly inductive systems of measure spaces and point out the concept of representing locally Hilb…

Computability of Separation Axioms in Countable Second Countable Spaces
Andrew DeLapo, David Gonzalez
https://arxiv.org/abs/2507.18564 https://arxiv.org/pd…

Computability of Separation Axioms in Countable Second Countable Spaces
We analyze the effective content of countable, second countable topological spaces by directly calculating the complexity of several topologically defined index sets. We focus on the separation principles, calibrating an arithmetic completeness result for each of the Tychonoff separation axioms. Beyond this, we prove completeness results for various other topological properties, such as being Polish and having a particular Cantor-Bendixson rank, using tools from computable structure theory. Thi…

Hyperspherical Variational Autoencoders Using Efficient Spherical Cauchy Distribution
Lukas Sablica, Kurt Hornik
https://arxiv.org/abs/2506.21278 https://

Hyperspherical Variational Autoencoders Using Efficient Spherical Cauchy Distribution
We propose a novel variational autoencoder (VAE) architecture that employs a spherical Cauchy (spCauchy) latent distribution. Unlike traditional Gaussian latent spaces or the widely used von Mises-Fisher (vMF) distribution, spCauchy provides a more natural hyperspherical representation of latent variables, better capturing directional data while maintaining flexibility. Its heavy-tailed nature prevents over-regularization, ensuring efficient latent space utilization while offering a more expres…

An isovariant Blakers--Massey theorem
Inbar Klang, Sarah Yeakel
https://arxiv.org/abs/2506.21259 https://arxiv.org/pdf/2506.21259

An isovariant Blakers--Massey theorem
An isovariant map is an equivariant map between $G$-spaces which strictly preserves isotropy groups. In this paper, we lay the groundwork for the study of isovariant stable homotopy theory. We prove an isovariant Blakers--Massey theorem and its $n$-cubical generalization, define a suitable notion of suspension (by a trivial representation sphere) in the isovariant category, and prove an isovariant Freudenthal suspension theorem.

A Survey on Methodological Approaches to Collaborative Embodiment in Virtual Reality
Hongyu Zhou, Yihao Dong, Masahiko Inami, Zhanna Sarsenbayeva, Anusha Withana
https://arxiv.org/abs/2507.18877

A Survey on Methodological Approaches to Collaborative Embodiment in Virtual Reality
The application and implementation of collaborative embodiment in virtual reality (VR) are a critical aspect of the computer science landscape, aiming to enhance multi-user interaction and teamwork in immersive environments. A notable and enduring area of collaborative embodiment research focuses on approaches that enable multiple users to share control, interact, and investigate scenarios involving supernumerary arms in virtual spaces. In this survey, we will present an extensive overview of t…

Hulk Hogan Was a Very Bad Man https://jacobin.com/2025/07/hulk-hogan-wrestling-trump-mcmahon/

Hulk Hogan Was a Very Bad Man
Hulk Hogan, who died this week at age 71, was the most important professional wrestler who ever lived. He was also a terrible human being.

On the duality between Diameter Two Properties and Ideals in Banach Spaces
Sudeshna Basu
https://arxiv.org/abs/2507.18981 https://arxiv.org/pdf/2507.18981

On the duality between Diameter Two Properties and Ideals in Banach Spaces
We prove that the dual of an M ideal of a Banach space inherits all the versions of $w^*$ diameter two properties. We give a counter example to show that the converse is not true. We use these results to explore these properties in $C(K)$ spaces and its duals.

As Spotify moves to video, the environmental footprint of music streaming hits the high notes https://theconversation.com/as-spotify-moves-to-video-the-environmental-footprint-of-music-streaming-hits-the-hig…

As Spotify moves to video, the environmental footprint of music streaming hits the high notes
Why aimless streaming should be avoided because video uses so much more energy than just audio.

This https://arxiv.org/abs/2307.04860 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Cartan-Thullen theorem and Levi problem in context of generalised convexity
We demonstrate that the Cartan-Thullen theorem and its generalisation to the context of generalised convexity, which we establish herein, can be regarded as consequences of the classical theorems of functional analysis: the Banach-Steinhaus theorem and the Banach-Alaoglu theorem. Furthermore, we characterise the domains of holomorphy, and their generalisations, as the spaces that are complete, or as the spaces exhaustible by suitably defined polytopes. We also provide an abstract analogue of th…

"AUcH, weNn ES dIe pOlItiSche fÜhRunG zu UNterBinDEN vErSuChT" - die Gruppe jener #noAfD ler, die wegen unverdautem Militärfetisch bei dem Zirkus mitmachen, ist bislang zu wenig erforscht - hauptsächlich deshalb, weil man mit ständigen Lachanfällen nicht gut forschen kann.

Free speech target or terrorist gang? The inside story of Palestine Action – and the plan to ban it https://www.theguardian.com/politics/ng-interactive/2025/jun/28/palestine-action-proscription-free-speech?…

On gradient descent-ascent flows in metric spaces
Noboru Isobe, Sho Shimoyama
https://arxiv.org/abs/2506.20258 https://arxiv.org/pdf/…

On gradient descent-ascent flows in metric spaces
Gradient descent-ascent (GDA) flows play a central role in finding saddle points of bivariate functionals, with applications in optimization, game theory, and robust control. While they are well-understood in Hilbert and Banach spaces via maximal monotone operator theory, their extension to general metric spaces, particularly Wasserstein spaces, has remained largely unexplored. In this paper, we develop a mathematical theory of GDA flows on the product of two complete metric spaces, formulating…

Active Learning for Manifold Gaussian Process Regression
Yuanxing Cheng, Lulu Kang, Yiwei Wang, Chun Liu
https://arxiv.org/abs/2506.20928 https://

Active Learning for Manifold Gaussian Process Regression
This paper introduces an active learning framework for manifold Gaussian Process (GP) regression, combining manifold learning with strategic data selection to improve accuracy in high-dimensional spaces. Our method jointly optimizes a neural network for dimensionality reduction and a Gaussian process regressor in the latent space, supervised by an active learning criterion that minimizes global prediction error. Experiments on synthetic data demonstrate superior performance over randomly sequen…

Norsk films stŸrste seier – og kanskje den siste – Ytring https://www.nrk.no/ytring/norsk-films-storste-seier-_-og-kanskje-den-siste-1.17432132

Norsk films største seier – og kanskje den siste
Triumfen i Cannes må være en øyeåpner for krisen her hjemme.

Matrix Invariants as Homotopy Invariants in Finite $T_0$-spaces
Pedro J. Chocano
https://arxiv.org/abs/2506.16861 https://arxiv.org/p…

Matrix Invariants as Homotopy Invariants in Finite $T_0$-spaces
We establish a bijection between the set of finite topological $T_0$-spaces (or partially ordered sets) and classes of square matrices. The absolute value of the determinant or the rank of these matrices are simple homotopy invariants for the corresponding topological spaces, and consequently, for finite simplicial complexes. We calculate these invariants for various families of topological spaces and explore other relationships and problems posed for finite posets within the context of these m…

'I Love Generative AI and Hate the Companies Building It' - 'when I fell in love with generative AI, I wanted to use it ethically.
That went well.
Turns out, there are no ethical AI companies. What I found instead was a hierarchy of harm where the question isn’t who’s good — it’s who sucks least.'

I Love Generative AI and Hate the Companies Building It
I’m just a regular person who buys fair trade coffee, uses a reusable water bottle, and takes Caltrain instead of driving to the city. Not an eco warrior or a professional ethicist, just someone…

Ob das schon die Autoren des SPD Manifests mitbekommen haben??

Is there a proper, project management name for what I call 'magic elves'? Lurking tasks in a project plan with no-one assigned to them, leaving it to be done by the 'magic elves'. If you don't spot them and if there's no-one with the skills and time to complete those tasks, projects can go awry.

Generalized Hilbert operators acting from Hardy spaces to weighted Bergman spaces
Liyi Wang, Shanli Ye
https://arxiv.org/abs/2506.19338 https://

Generalized Hilbert operators acting from Hardy spaces to weighted Bergman spaces
Let $μ$ be a positive Borel measure on the interval $[0,1)$. For $α>0$, the generalized Hankel matrix $\mathcal{H}_{μ, α}=(μ_{n, k, α})_{n, k \geq 0}$ with entries $μ_{n, k, α}=\int_{[0,1)} \frac{Γ(n+α)}{n ! Γ(α)} t^{n+k} \mathrm{d}μ(t)$ induces formally the operator \begin{equation*} \mathcal{H}_{μ, α}(f)(z)=\sum_{n=0}^{\infty}\left(\sum_{k=0}^{\infty} μ_{n, k, α} a_k\right) z^n \end{equation*} on the space of all analytic function $f(z)=\sum_{k=0}^{\infty} a_{k} z^{k}$ in the…

Noted while reading: 'a data structure or a block of code are things that make implicit and subjective arguments about how to see the world. This is possibly the single most important basic insight that Digital Humanities as a field needs to impart, because it affects so much of the world around us' - excellent post by @…

Meet a Historian: James Baillie on Digital Humanities and the Medieval Caucasus
Note from the Editor: I’m excited to feature another guest post with you all! This week we have James Baillie discussing how digital humanities and prosopographic methods can be used to bette…

Selections of integrable multifunctions in arbitrary Banach spaces
Luisa Di Piazza, Anna Rita Sambucini
https://arxiv.org/abs/2507.19460 https://arxiv.org/…

Selections of integrable multifunctions in arbitrary Banach spaces
We find the origin of the integration theory for multifunctions in the sixties in the pioneering works of G. Debreu and R. Aumann, Nobel prizes for the Economy in 1983 and in 2005, respectively. The Aumann integral is defined by means the integrals of measurable selections of the multifunctions. An important tool for the existence of measurable selections is the Kuratowski and Ryll-Nardzewski theorem, although this famous result needs the separability of the range space. Other definitions of mu…

Youtube... you were supposed to show us cat videos... what happened?

Americans, take note:
Zohran Mamdani’s Historic Win: 16 Takeaways https://jacobin.com/2025/06/zohran-mamdani-nyc-mayor-cuomo/

Zohran Mamdani’s Historic Win: 16 Takeaways
Leftists and progressives throughout the country have much to learn from how democratic socialist Zohran Mamdani pulled off an unprecedented upset last night.

Et stort Ÿyeblikk i norsk filmhistorie – Ytring https://www.nrk.no/ytring/et-stort-oyeblikk-i-norsk-filmhistorie-1.17430431

Et stort øyeblikk i norsk filmhistorie
Joachim Trier lager filmer som napper i nervetrådene til filmelskere over hele verden.

On $A$-orthogonality preservation and Blanco-Koldobsky-Turn\v{s}ek theorem in semi-Hilbert spaces
Jayanta Manna, Somdatta Barik, Kallol Paul, Debmalya Sain
https://arxiv.org/abs/2507.18871

On $A$-orthogonality preservation and Blanco-Koldobsky-Turnšek theorem in semi-Hilbert spaces
We investigate the local preservation of $A$-orthogonality at a point by $A$-bounded operators within the semi-Hilbertian framework induced by a positive operator $A$ on a Hilbert space $\mathbb{H}.$ We provide complete characterizations of such preservation. Additionally, we explore properties of the $A$-norm attainment set of an $A$-bounded operator in light of $A$-orthogonality preservation. We also study analogous properties for the minimum $A$-norm attainment set of an $A$-bounded operator…

A Real Life Version of Wallace & Gromit’s Breakfast Machine https://kottke.org/25/05/a-real-life-version-of-wallace-gromits-breakfast-machine

A Real Life Version of Wallace & Gromit’s Breakfast Machine
I love me some Wallace & Gromit and so I was delighted to see that this guy made a real life version of Wallace & Gromit’s

@… is this you? https://acoup.blog/2022/12/09/meet-a-historian-james-baillie-on-digital-h…

Meet a Historian: James Baillie on Digital Humanities and the Medieval Caucasus
Note from the Editor: I’m excited to feature another guest post with you all! This week we have James Baillie discussing how digital humanities and prosopographic methods can be used to bette…

#Demokratiebildung wird besonders wirksam, wo strukturelle Voraussetzungen mit der Dynamik kleinerer Communities & persönlicher Haltungen in produktive Beziehung treten – das behaupten D. Vetter & D. Dietz im HSE-Blog und beleuchten, wo & wie so eine Beziehung entstehen kann.

Demokratiebildung zwischen Anspruch und Wirklichkeit. Ein Plädoyer für die Meso-Ebene
Überlegungen zur Demokratiebildung von Daniel Vetter und Dennis Dietz (Heidelberg School of Education) | Demokratiebildung hat als Thema und Auftrag der Lehrkräftebildung in den letzten Jahren zunehmend an Bedeutung gewonnen. Als bildungspolitische Leitidee wurde...

ADHO (adho.org) updates at the opening of #DH2025 from Diane and Michael - the Italian Digital Humanities association officially joins ADHO, and announces awards including the Zampoli prize to Stylo software, the conference bursaries winners and Fortier prize nominees. Also note the Code of Conduct!

*On Snake Oil*
In every snake oil sale show - no matter how long it has been going on - comes the moment of truth.
The moment of truth is, ironically, not evidence that the advertised snake oil works.
No, the moment of truth happens when the salesman opens the bottle and chugs it down in one go. What happens if he doesn't do it, what happens if he only takes a sip and pours the rest down the drain?
Maybe the snake oil show is one of the more interesting cultural …

Lewd, crude and politically astute: South Park’s history of controversy https://www.theguardian.com/tv-and-radio/2025/jul/26/south-park-history-controversy-trump?CMP=Share_iOSApp_Other

'History is the study of decisions, not of events' - love this, from Dan Davies 'Unaccountability Machine'. And as an instinctive systems thinker I love even more that he goes on to say 'many decisions are best understood as the outcome of larger systems rather than individual acts of will.'

After 70 years, twisted gothic thriller The Night of the Hunter remains as disturbing and beguiling as ever https://theconversation.com/after-70-years-twisted-gothic-thriller-the-night-of-the-h…

After 70 years, twisted gothic thriller The Night of the Hunter remains as disturbing and beguiling as ever
In 1955, director Charles Laughton crafted one of the darkest, strangest fairytales ever to come out of Hollywood.

same

Lipschitz vs Linear Numerical Index in certain Banach spaces
Antonio P\'erez-Hern\'andez
https://arxiv.org/abs/2507.18208 https://arxiv.org/pdf/250…

Lipschitz vs Linear Numerical Index in certain Banach spaces
We show that for real Banach spaces that are either separable or dual spaces, the Lipschitz numerical index coincides with the classical (linear) numerical index. This result provides partial evidence toward the question posed by Wang, Huang, and Tan (2014) of whether these two quantities coincide for every real Banach space. Our approach relies on two standard linearization techniques for Lipschitz maps: differentiation via convolution with Gaussian probability measures, and invariant means.

Clinton’s Endorsement of Cuomo Is Grotesque but Predictable https://jacobin.com/2025/06/cuomo-clinton-endorsement-mayoral-election/

Clinton’s Endorsement of Cuomo Is Grotesque but Predictable
Bill Clinton’s last-minute endorsement of Andrew Cuomo in New York City’s mayoral race is all too fitting: both men represent the corporate Democratic establishment, opposed by socialist candidate Zohran Mamdani, that has abandoned the working class.

Hvorfor verden trenger flere humanister | Erna Solbergs påstand om at universitetene bŸr utdanne færre humanister fungerer dårlig i mŸte med en verden som er i stadig endring. https://www.forskersonen.no/humaniora-kronikk-kultur/hvorf…

Humanistisk kunnskap gir innsikt i hva det vil si å være menneske
KRONIKK: Erna Solbergs påstand om at universitetene bør utdanne færre humanister fungerer dårlig i møte med en verden som er i stadig endring.

Wir haben ca. 3 Jahre Zeit, Lohnarbeit und Lebensunterhalt voneinander zu entkoppeln, d.h. eine großflächige Dekommodifizierung möglichst überstaatlich (z.B. auf EU-Ebene) zu organisieren.
Die Entwicklung autonomer KI-Agenten läuft auf nichts weniger hinaus als die quasi vollständige Automatisierung unserer Wirtschaftsbereiche. Die meisten sind sich dessen nicht bewusst - auch, weil in letzter Zeit die Skeptiker und Ludditen wieder sehr den Diskurs bestimmen.
Auch wenn sie viele …

'The Responsible AI Ecosystem: Seven Lessons from the BRAID Landscape Study'
Report just released: https://braiduk.org/the-responsible-ai-ecosystem-seven-lessons-from-the-braid-landscape-study

The Responsible AI Ecosystem: Seven Lessons from the BRAID Landscape Study

AI Weakens Critical Thinking. This is How To Rebuild It. https://www.psychologytoday.com/us/blog/the-algorithmic-mind/202505/ai-weakens-critical-thinking-and-how-to-rebuild-it

AI Weakens Critical Thinking. This Is How to Rebuild It
AI does our thinking for us and our minds are paying the price. Here’s how to reclaim cognitive independence.

Bakenfor gullalder, glamourbilder og rŸd lŸper. | Rushprint https://rushprint.no/2025/05/bakenfor-gullalder-glamourbilder-og-rod-loper/

Bakenfor gullalder, glamourbilder og rød løper.
Vi skal heie fram våre filmfortellere som vinner priser internasjonalt. Men bak de røde løperne finner vi en bransje som er nede i knestående, skriver Frederick P. N. Howard.

#DH2025 closes with heartfelt thanks to Diane Jakacki for all her work underpinning ADHO as Executive Board Chair for the past four years

The Democratic Party Is Literally Dying | The Nation https://www.thenation.com/article/politics/democratic-party-connolly-gerontocracy/

The Democratic Party Is Literally Dying
The dead hand of gerontocracy is also a symptom of ideological malaise.

Has #DH2025 inspired you to get more involved in Digital Humanities communities? Sign up for the @… newsletter for updates from our 14 DH organisations and 10 special interest groups (SIGs)

Having a bit of a flashback to the 80s with one of my favourite bands from university days… Who knew any of their stuff was available online?
«Live from the Elmo Combo». I wonder who will get the reference?
Elmo, The CeeDees - Qobuz https://www.qobuz.com/no-en/album/elmo-the

Elmo, The CeeDees - Qobuz
Listen to unlimited or download Elmo by The CeeDees in Hi-Res quality on Qobuz. Subscription from kr133.33/month.

Hey, @… — I’m having trouble logging in to my WordPress site through external apps (in this case, the official WordPress app on iOS). Any idea what I can do to fix this…?

I’m thinking this is either an interdimensional glimpse into Shelob’s lair, or else Christo was here…

Some thoughts on art and why it’s necessary for a healthy, functioning society.
Why We Ar/t/ – fredsnotes https://filmschoolteacher.info/fredsnotes/2025/07/25/why-we-ar-t/

Kapitalismens mystifiseringer | Klassekampen https://klassekampen.no/artikkel/2025-07-22/kapitalismens-mystifiseringer/xgZ6

Kapitalismens mystifiseringer
Kapitalens tredje bok har nylig kommet ut på norsk. Man kan lure på hvordan norsk venstreside har klart seg uten den så lenge.

Sanksjoner må til for å stanse Israels folkemord https://palestinakomiteen.no/aktuelt/10-aktuelt/217-sanksjoner-ma-til-for-a-stanse-israels-folkemord

Sanksjoner må til for å stanse Israels folkemord
Tiden er overmoden for sanksjoner og konkret handling for å stanse Israels folkemord og okkupasjon. 20.mai meldte FN at 14 000 babyer kunne dø i løpet av 4

Fuck Israel.
Fuck the IDF.
Fuck the US.
Fuck every other government too frightened to do anything.
We need get relief to Gaza by *any means necessary*. Now. There are no more excuses for delays.
https://www.

‘South Park’s most furious episode ever’: the jaw-dropping Satanic takedown of Donald Trump
— They’ve depicted the president’s privates. They’ve shown him in flagrante with the devil. The makers of the foul-mouthed US cartoon have certainly thrown down the gauntlet …

Jesus and Mo https://www.jesusandmo.net/comic/strains/

Jesus and Mo
Religious satire from holy roomies Jesus & Mohammed in a weekly comic strip.