Tootfinder

Donald Trump: The Instagram account proving he’s not actually succeeding at much.
https://slate.com/life/2025/06/donald-trump-news-instagram-account-amanda-mild-takes.html

Homological invariant properties under cleft extensions
Li Liang, Yajun Ma, Gang Yang
https://arxiv.org/abs/2506.02691 https://arxiv.…

Homological invariant properties under cleft extensions
We study the behavior of the Gorenstein weak global dimension and Gorenstein flat-cotorsion global dimension under a cleft extension of rings; we prove that under some mild conditons the finiteness of the Gorenstein weak global dimension and that of the Gorenstein flat-cotorsion global dimension are both invariant. Moreover, we compare the relative singularity categories with respect to flat-cotorsion modules under a cleft extension of rings. Some applications to θ-extensions and Morita contex…

Reduced Efficiency in the Right Fronto-Parietal Attentional Network During Distractor Suppression in Mild Cognitive Impairment
Jatupong Oboun, Piyanon Charoenpoonpanich, Anna Raksapatcharawong, Chaipat Chunharas, Itthi Chatnuntawech, Chainarong Amornbunchornvej, Sirawaj Itthipuripat
https://arxiv.org/abs/2507.01433

Reduced Efficiency in the Right Fronto-Parietal Attentional Network During Distractor Suppression in Mild Cognitive Impairment
Mild Cognitive Impairment (MCI) is a critical transitional stage between normal cognitive aging and dementia, making its early detection essential. This study investigates the neural mechanisms of distractor suppression in MCI patients using EEG and behavioral data during an attention-cueing Eriksen flanker task. A cohort of 56 MCIs and 26 healthy controls (HCs) performed tasks with congruent and incongruent stimuli of varying saliency levels. During these tasks, EEG data were analyzed for alph…

This https://arxiv.org/abs/2411.13143 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series
We computed the first Whittaker coefficient of an Eisenstein series on a global metaplectic group induced from the torus and related the result with a Weyl group multiple Dirichlet series attached to the (dual) root system of the group under a mild assumption on the root system and the degree of the metaplectic cover. This confirms a conjecture of Brubaker-Bump-Friedberg.

EXPOSURE THERAPY FOR INTERNET ADDICTED DEBATE PEOPLE
1. strap them to a chair, show them a mild take they disagree with by someone who's otherwise 99% aligned with their goals
2. watch them thrash angrily, unable to crash out on their socials, for the next 4 days
3. they settle, and think about this reaction after a week of being stuck there. they sheepishly set it aside in favor of teamwork
4. repeat with bigger and bigger issues until they have reasonable expec…

Deep Learning in Mild Cognitive Impairment Diagnosis using Eye Movements and Image Content in Visual Memory Tasks
Tom\'as Silva Santos Rocha, Anastasiia Mikhailova, Moreno I. Coco, Jos\'e Santos-Victor
https://arxiv.org/abs/2506.23016

Deep Learning in Mild Cognitive Impairment Diagnosis using Eye Movements and Image Content in Visual Memory Tasks
The global prevalence of dementia is projected to double by 2050, highlighting the urgent need for scalable diagnostic tools. This study utilizes digital cognitive tasks with eye-tracking data correlated with memory processes to distinguish between Healthy Controls (HC) and Mild Cognitive Impairment (MCI), a precursor to dementia. A deep learning model based on VTNet was trained using eye-tracking data from 44 participants (24 MCI, 20 HCs) who performed a visual memory task. The model utilizes …

Attracting measures
Julian Newman, Peter Ashwin
https://arxiv.org/abs/2506.02136 https://arxiv.org/pdf/2506.02136

Attracting measures
Under mild assumptions, the SRB measure $μ$ associated to an Axiom A attractor $A$ has the following properties: (i) the empirical measure starting at a typical point near $A$ converges weakly to $μ$; (ii) the pushforward of any Lebesgue-absolutely continuous probability measure supported near $A$ converges weakly to $μ$. In general, a measure with the first property is called a "physical measure", and physical measures are recognised as generally important in their own right. In this paper,…

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space
Motofumi Aoki, Yasunori Maekawa
https://arxiv.org/abs/2507.02338

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space
In this paper we show the non-uniqueness of mild solutions to the two-dimensional forced Navier-Stokes equations in the half space under the noslip boundary condition, following the program established by Albritton, Bru{é}, and Colombo in 2022. Our construction of non-unique solutions is based on the instability of self-similar vorticity at high Reynolds numbers which concentrates around the boundary at the initial time. In our construction, therefore, a kind of boundary layer has to be taken …

Local laws and spectral properties of deformed sparse random matrices
Ji Oon Lee, Inyoung Yeo
https://arxiv.org/abs/2507.02298 https://

Local laws and spectral properties of deformed sparse random matrices
We consider deformed sparse random matrices of the form $H= W+ λV$, where $W$ is a real symmetric sparse random matrix, $V$ is a random or deterministic, real, diagonal matrix whose entries are independent of $W$, and $λ= O(1) $ is a coupling constant. Under mild assumptions on the matrix entries of $W$ and $V$, we prove local laws for $H$ that compares the empirical spectral measure of it with a refined version of the deformed semicircle law. By applying the local laws, we also prove several…

This https://arxiv.org/abs/2412.18559 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The spectrum of prime congruences of a pair
Continuing the study of the structure of semirings, we turn to the spectrum of prime congruences. Joo and Mincheva developed an elegant theory in the special case of idempotent semirings, which is generalized here to ``semiring pairs,'' which include supertropical semirings and various classes of hyperrings. Our main result is that the Joo-Mincheva spectrum can be embedded into the prime spectrum of a semiring pair, and the mapping is onto when the pair satisfies a mild restriction which we cal…

The mild-mannered David Brooks gets fierce. Eloquently.
I’m Normally a Mild Guy. Here’s What’s Pushed Me Over the Edge. - https://www.nytimes.com/2025/05/29/opinion

Half a pint of pistachio gelato, 2 ounces limoncello, 1 ounce #espresso.
The gelato melted very quickly, even in the frozen glass, before adding the chilled limoncello and hot espresso. Still good, but I’ll probably make it once more and forget to do it again.
From:

joe•iuculano :mastodon: (@iuculano@masto.ai)
Attached: 1 image Ok, I need to make this. 🇮🇹 #pistachio #limoncello #espresso #affogato #Italian #Italy #dessert

This https://arxiv.org/abs/2501.09805 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

Multiplex Nodal Modularity: A novel network metric for the regional analysis of amnestic mild cognitive impairment during a working memory binding task
Modularity is a well-established concept for assessing community structures in various single and multi-layer networks, including those in biological and social domains. Brain networks are known to exhibit community structure at local, meso, and global scale. However, modularity is limited as a metric to a global scale describing the overall strength of community structure, overlooking important variations in community structure at node level. To address this limitation, we extended modularity …

From Photospheric Footpoint Motion to Plasmoid Ejection: A Two-Stage Reconnection Process in a Small-scale Chromospheric Jet
Zehao Tang, Yuandeng Shen, Chengrui Zhou, Surui Yao, Dongxu Liu, Xiaobo Li
https://arxiv.org/abs/2507.01896

From Photospheric Footpoint Motion to Plasmoid Ejection: A Two-Stage Reconnection Process in a Small-scale Chromospheric Jet
Using high spatiotemporal resolution, multi-wavelength observations from the New Vacuum Solar Telescope (NVST) and the Solar Dynamics Observatory (SDO), we present a detailed analysis of a small-scale chromospheric jet driven by plasmoid-mediated magnetic reconnection. Our results reveal that the entire process is governed by the dynamic evolution of photospheric magnetic footpoints, which proceeds in two distinct stages. An initial separating motion of the footpoints corresponds to a mild reco…

Neutrino mass tension or suppressed growth rate of matter perturbations?
William Giar\`e, Olga Mena, Enrico Specogna, Eleonora Di Valentino
https://arxiv.org/abs/2507.01848

Neutrino mass tension or suppressed growth rate of matter perturbations?
Assuming a minimal $Λ$CDM cosmology with three massive neutrinos, the joint analysis of Planck cosmic microwave background data, DESI baryon acoustic oscillations, and distance moduli measurements of Type Ia supernovae from the Pantheon+ sample sets an upper bound on the total neutrino mass, $\sum m_ν\lesssim 0.06$-$0.07$ eV, that lies barely above the lower limit from oscillation experiments. These constraints are mainly driven by mild differences in the inferred values of the matter density…

Idea: microdosing ipecac to induce a sort of latent, mild nausea

A central limit theorem for the stochastic cable equation
Soma Nishino
https://arxiv.org/abs/2506.02755 https://arxiv.org/pdf/2506.02…

A central limit theorem for the stochastic cable equation
In this paper, we consider one-dimensional nonlinear stochastic cable equations driven by a multiplicative space-time white noise. Using the Malliavin--Stein's method, we prove the Gaussian fluctuation for the spatial average of the solution under the total variation distance with mild conditions. We also establish functional central limit theorem.

This https://arxiv.org/abs/2207.11904 has been replaced.
link: https://scholar.google.com/scholar?q=a

On the Tate conjecture for divisors on varieties with $h^{2,0} = 1$ in positive characteristics
We prove that the Tate conjecture for divisors is ''generically true'' for mod p reductions of complex projective varieties with $h^{2, 0} = 1$, under a mild assumption on moduli. By refining this general result, we establish a new case of the BSD conjecture over global function fields, and the Tate conjecture for a class of general type surfaces of geometric genus 1.

Efficient Conformance Checking of Rich Data-Aware Declare Specifications (Extended)
Jacobo Casas-Ramos, Sarah Winkler, Alessandro Gianola, Marco Montali, Manuel Mucientes, Manuel Lama
https://arxiv.org/abs/2507.00094

Efficient Conformance Checking of Rich Data-Aware Declare Specifications (Extended)
Despite growing interest in process analysis and mining for data-aware specifications, alignment-based conformance checking for declarative process models has focused on pure control-flow specifications, or mild data-aware extensions limited to numerical data and variable-to-constant comparisons. This is not surprising: finding alignments is computationally hard, even more so in the presence of data dependencies. In this paper, we challenge this problem in the case where the reference model is …

Some Properties of Twisted Chevalley Groups
Deep H. Makadiya
https://arxiv.org/abs/2505.24430 https://arxiv.org/pdf/2505.24430…

Some Properties of Twisted Chevalley Groups
This thesis investigates certain structural properties of twisted Chevalley groups over commutative rings, focusing on three key problems. Let $R$ be a commutative ring satisfying mild conditions. Let $G_{π,σ} (Φ, R)$ denote a twisted Chevalley group over $R$, and let $E'_{π, σ} (Φ, R)$ denote its elementary subgroup. The first problem concerns the normality of $E'_{π, σ} (Φ, R, J)$, the relative elementary subgroups at level $J$, in the group $G_{π, σ} (Φ, R)$. The second problem…

"""
Writing has been an instrument for some of the highest expressions of the human spirit: poetry, philosophy, science. But to understand it — why it came into being, how it changed the human experience — we have to first appreciate its crass practicality. It evolved mainly as an instrument of the mundane: the economic, the administrative, the political.
Confusion over this point is understandable. Some scholars have equated the origin of “civilization” with the origin of writing. Laypeople sometimes take this equation to mean that with writing humanity put aside its barbarous past and started behaving in gentlemanly fashion, sipping tea and remembering to say “please.” And indeed, this may be only a mild caricature of what some nineteenth-century scholars actually meant by the equation: writing equals Greece equals Plato; illiteracy equals barbarism equals Attila the Hun.
But, in truth, if you add literacy to Attila the Hun, you don’t get Plato. You get Genghis Khan. During the thirteenth century, he administered what even today is the largest continuous land empire in the history of the world. And he could do so only because he had the requisite means of control: a script that, when carried by his pony express, amounted to the fastest large-scale information-processing technology of his era. One consequence was to give pillaging a scope beyond Attila’s wildest dreams. Information technology, like energy technology or any other technology, can be a tool for good or bad. By itself, it is no guarantor of moral progress or civility.
"""
(Robert Wright, Nonzero: The Logic of Human Destiny)

Input-Power-to-State Stability of Time-Varying Systems
Hernan Haimovich, Shenyu Liu, Antonio Russo, Jose L. Mancilla-Aguilar
https://arxiv.org/abs/2505.24805

Input-Power-to-State Stability of Time-Varying Systems
When the state of a system may remain bounded even if both the input amplitude and energy are unbounded, then the state bounds given by the standard input-to-state stability (ISS) and integral-ISS (iISS) properties may provide no useful information. This paper considers an ISS-related concept suitable in such a case: input-power-to-state stability (IPSS). Necessary and sufficient conditions for IPSS are developed for time-varying systems under very mild assumptions on the dynamics. More precise…

Novel Approximation of the Modified Mild Slope Equation
Chengnian Xiao
https://arxiv.org/abs/2506.19854 https://arxiv.org/pdf/2506.19…

Novel Approximation of the Modified Mild Slope Equation
The mild-slope equation and its various modifications aim to model, with varying degrees of success, linear water wave propagation over sloping or undulating seabed topography. However, despite multiple modifications and attempted simplifications, the different variants of the equation include multiple higher order terms involving the nonlinear water wave dispersion relation and thus remain analytic intractable. To further facilitate its use, we derive a drastically simplified alternative versi…

Charge pumps, pivot Hamiltonians and symmetry-protected topological phases
Nick. G. Jones, Ryan Thorngren, Ruben Verresen, Abhishodh Prakash
https://arxiv.org/abs/2507.00995

Charge pumps, pivot Hamiltonians and symmetry-protected topological phases
Generalised charge pumps are topological obstructions to trivialising loops in the space of symmetric gapped Hamiltonians. We show that given mild conditions on such pumps, the associated loop has high-symmetry points which must be in distinct symmetry-protected topological (SPT) phases. To further elucidate the connection between pumps and SPTs, we focus on closed paths, `pivot loops', defined by two Hamiltonians, where the first is unitarily evolved by the second `pivot' Hamiltonian. While su…

Polynomials whose nth powers have prescribed multiple-of-nth-degree coefficients
Jeffrey Yelton
https://arxiv.org/abs/2505.24013 https://

Polynomials whose nth powers have prescribed multiple-of-nth-degree coefficients
We show under a mild hypothesis that given field elements $a_0, \dots, a_m \in K$, there always exists a degree-$m$ polynomial whose $n$th power whose degree-$jn$ coefficient is equal to $a_j$ for $0 \leq j \leq m$. We provide an alternate proof for the $n = 2$ case which is more constructive.

Augmented Lagrangian methods for infeasible convex optimization problems and diverging proximal-point algorithms
Roland Andrews, Justin Carpentier, Adrien Taylor
https://arxiv.org/abs/2506.22428

Augmented Lagrangian methods for infeasible convex optimization problems and diverging proximal-point algorithms
This work investigates the convergence behavior of augmented Lagrangian methods (ALMs) when applied to convex optimization problems that may be infeasible. ALMs are a popular class of algorithms for solving constrained optimization problems. We establish progressively stronger convergence results, ranging from basic sequence convergence to precise convergence rates, under a hierarchy of assumptions. In particular, we demonstrate that, under mild assumptions, the sequences of iterates generated …

Non-extendable MMPs
Iacopo Brivio
https://arxiv.org/abs/2506.23883 https://arxiv.org/pdf/2506.23883

Non-extendable MMPs
We construct examples of families of pairs over a DVR of positive characteristic, with very mild singularities, such that the MMP on the closed fiber does not extend to a relative MMP.

Pricing Fractal Derivatives under Sub-Mixed Fractional Brownian Motion with Jumps
Nader Karimi
https://arxiv.org/abs/2506.24111 https://

Pricing Fractal Derivatives under Sub-Mixed Fractional Brownian Motion with Jumps
We study the pricing of derivative securities in financial markets modeled by a sub-mixed fractional Brownian motion with jumps (smfBm-J), a non-Markovian process that captures both long-range dependence and jump discontinuities. Under this model, we derive a fractional integro-partial differential equation (PIDE) governing the option price dynamics. Using semigroup theory, we establish the existence and uniqueness of mild solutions to this PIDE. For European options, we obtain a closed-form …

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games
Yann Kerzreho (ENS Paris Saclay)
https://arxiv.org/abs/2506.21079 https://

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games
This paper introduces a new approach for approximating the learning dynamics of multiple reinforcement learning (RL) agents interacting in a finite-state Markov game. The idea is to rescale the learning process by simultaneously reducing the learning rate and increasing the update frequency, effectively treating the agent's parameters as a slow-evolving variable influenced by the fast-mixing game state. Under mild assumptions-ergodicity of the state process and continuity of the updates-we prov…

Symmetry classes of Hamiltonian cycles
Julia Baligacs (TU Darmstadt), Sofia Brenner (Universit\"at Kassel), Annette Lutz (TU Darmstadt), Lena Volk (TU Darmstadt)
https://arxiv.org/abs/2506.21337

Symmetry classes of Hamiltonian cycles
We initiate the study of Hamiltonian cycles up to symmetries of the underlying graph. Our focus lies on the extremal case of Hamiltonian-transitive graphs, i.e., Hamiltonian graphs where, for every pair of Hamiltonian cycles, there is a graph automorphism mapping one cycle to the other. This generalizes the extensively studied uniquely Hamiltonian graphs. In this paper, we show that Cayley graphs of abelian groups are not Hamiltonian-transitive (under some mild conditions and some non-surprisin…

This https://arxiv.org/abs/2411.07064 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Rigorous enclosure of Lyapunov exponents of stochastic flows
We develop a powerful and general method to provide rigorous and accurate upper and lower bounds for Lyapunov exponents of stochastic flows. Our approach is based on computer-assisted tools, the adjoint method and established results on the ergodicity of diffusion processes. We do not require any structural assumptions on the stochastic system and work under mild hypoellipticity conditions and outside of perturbative regimes. Therefore, our method allows for the treatment of systems that were s…

Martingales and Path-Dependent PDEs via Evolutionary Semigroups
Robert Denk, Markus Kunze, Michael Kupper
https://arxiv.org/abs/2507.01845 https://

Martingales and Path-Dependent PDEs via Evolutionary Semigroups
In this article, we develop a semigroup-theoretic framework for the analytic characterisation of martingales with path-dependent terminal conditions. Our main result establishes that a measurable adapted process of the form \[ V(t) - \int_0^tΨ(s)\, ds \] is a martingale with respect to an expectation operator $\mathbb{E}$ if and only if a time-shifted version of $V$ is a mild solution of a final value problem involving a path-dependent differential operator that is intrinsically connected to $…

Calamus 37 A leaf for hand in hand!
I continue to have little patience for these Whitman entreaties to American unity. The recitation of place names does little for me. But I do appreciate that he's talking more about loving unity between men than some abstract political message.
You friendly boatmen and mechanics! You roughs! ...
I wish to infuse myself among you till I see it common for you to walk hand in hand.
That's the gay part there. It's pretty mild, but still seems striking of talking about two boatmen or mechanics walking holding hands. One might even see an appeal to rough trade.
I am beginning to understand this Whitman concept of "adhesiveness", a brotherly love that could unify a nation. I still prefer a more sexual gay reading but I think his poems work in both ways.

Transformer-Based Spatial-Temporal Counterfactual Outcomes Estimation
He Li, Haoang Chi, Mingyu Liu, Wanrong Huang, Liyang Xu, Wenjing Yang
https://arxiv.org/abs/2506.21154

Transformer-Based Spatial-Temporal Counterfactual Outcomes Estimation
The real world naturally has dimensions of time and space. Therefore, estimating the counterfactual outcomes with spatial-temporal attributes is a crucial problem. However, previous methods are based on classical statistical models, which still have limitations in performance and generalization. This paper proposes a novel framework for estimating counterfactual outcomes with spatial-temporal attributes using the Transformer, exhibiting stronger estimation ability. Under mild assumptions, the p…

This https://arxiv.org/abs/2503.20669 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Kulikov-Persson-Pinkham theorem via smoothing of dlt models
We give an alternative proof of the Kulikov-Persson-Pinkham Theorem for a projective degeneration of K-trivial smooth surfaces. After running the Minimal Model Program, the obtained minimal dlt model has mild singularities which we resolve via Brieskorn's simultaneous resolutions and toric resolutions.

@… Even the UK, famously mild, had cold winters, and at least one heavy snowfall per year when I was a child.
Not any more.

\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.

Breakfast scramble: sautéed yellow onion with two chopped sausages, 2 whisked eggs. Seasoned with “Chophouse Meats Cajun Seasoning with Jalapeño.” Topped with Mild Pace Picante sauce.
I picked up this seasoning at “Price Chopper” when I was in Manhattan, Kansas a couple weeks ago.
#CookWithWes

This https://arxiv.org/abs/2310.14134 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Endomorphism algebras over commutative rings and torsion in self tensor products
Let $R$ be a commutative Noetherian local ring. We study tensor products involving a finitely generated $R$-module $M$ through the natural action of its endomorphism ring. In particular, we study torsion properties of self tensor products in the case where $\operatorname{End}_R(M)$ has an $R^*$-algebra structure, and prove that if $M$ is indecomposable, then $M \otimes_{\operatorname{End}_R(M)} M$ must always have torsion in this case under mild hypotheses.

Insights from Designing Context-Aware Meal Preparation Assistance for Older Adults with Mild Cognitive Impairment (MCI) and Their Care Partners
Szeyi Chan, Jiachen Li, Siman Ao, Yufei Wang, Ibrahim Bilau, Brian Jones, Eunhwa Yang, Elizabeth D Mynatt, Xiang Zhi Tan
https://arxiv.org/abs/2506.05663…

Insights from Designing Context-Aware Meal Preparation Assistance for Older Adults with Mild Cognitive Impairment (MCI) and Their Care Partners
Older adults with mild cognitive impairment (MCI) often face challenges during meal preparation, such as forgetting ingredients, skipping steps, or leaving appliances on, which can compromise their safety and independence. Our study explores the design of context-aware assistive technologies for meal preparation using a user-centered iterative design process. Through three iterative phases of design and feedback, evolving from low-tech lightbox to a digital screen, we gained insights into manag…

Apparently, my heat tolerance is way lower than it was last summer (previously 94 F). Running 5 miles in 80 F weather today triggered a mild asthma attack (I always have my inhaler with me), and my heart rate hit 190. The high HR was probably a combination of the temperature outside, pushing too hard, and all the medications I'm on. Classic fuck around and find out 😖
I will be inside on the treadmill until it's low 70s from now on.
Looking forward to starting IgE inhibit…

On the geometry of complex Poisson bivectors
Dan Aguero
https://arxiv.org/abs/2506.18097 https://arxiv.org/pdf/2506.18097

On the geometry of complex Poisson bivectors
We study the geometry of complex Poisson bivectors over smooth manifolds. We show that under mild regularity conditions any complex Poisson bivector has associated a complex presymplectic foliation. After that, we use techniques of Dirac geometry to provide a more concise description of this complex presymplectic foliation. Moreover, we introduce two new classes of structures: quasi-real Poisson and quasi-real Dirac structures. In the last part, we focus on the normal form of complex Poisson bi…

"There was a recent 2024 study that showed us that individuals who survive an acute COVID-19 infection (...) on average will lose somewhere in the neighbourhood of two to six IQ points per infection."
"although your immune system can take on [a COVID] infection, you want to avoid testing it as much as possible because your body is sustaining damage with each infection that it survives."
Seriously, wear a mask 😷 .

Beyond long COVID — how reinfections could be causing silent long-term organ damage | CBC Radio
Scientific evidence is painting an unsettling picture: COVID infections, even if mild or asymptomatic, may be causing long-term cellular and organ damage, as well as increasing your risk of developing long COVID.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories
Thibault D. D\'ecoppet
https://arxiv.org/abs/2506.16241 https://

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories
Fix a finite symmetric tensor category $\mathcal{E}$ over an algebraically closed field. We derive an $\mathcal{E}$-enriched version of Shimizu's characterizations of non-degeneracy for finite braided tensor categories. In order to do so, we consider, associated to any $\mathcal{E}$-enriched finite braided tensor category $\mathcal{A}$ satisfying a mild technical assumption, a Hopf algebra $\mathbb{F}_{\mathcal{E}/\mathcal{A}}$ in $\mathcal{A}$. This is a generalization of Lyubashenko's univers…

Young's trash-talking puts Panthers on notice https://www.espn.com/nfl/story/_/id/45487337/bryce-young-leading-voice-panthers-taking-notice

Approximate Axiomatization for Differentially-Defined Functions
Andr\'e Platzer, Long Qian
https://arxiv.org/abs/2506.08233 https://

Approximate Axiomatization for Differentially-Defined Functions
This article establishes a complete approximate axiomatization for the real-closed field $\mathbb{R}$ expanded with all differentially-defined functions, including special functions such as $\sin(x), \cos(x), e^x, \dots$. Every true sentence is provable up to some numerical approximation, and the truth of such approximations converge under mild conditions. Such an axiomatization is a fragment of the axiomatization for differential dynamic logic, and is therefore a finite extension of the axioma…

This https://arxiv.org/abs/2505.12357 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The geometric K-theory of quotient stacks
Given a quotient of a regular noetherian separated algebraic space $X$ over a field by an affine algebraic group $G$ having finite stabilizers (with some mild technical conditions), G. Vezzosi and A. Vistoli defined the \emph{geometric part} of the rational equivariant K-theory $K(X,G)$ and conjectured that it is isomorphic to the rational K-theory of the quotient $X/G$. In this paper we refine the construction of geometric K-theory to the rational K-theory of a quotient stack $[X/G]$ over an a…

Expanding Ricci solitons and Higgs bundles
Ramiro A. Lafuente, Adam Thompson
https://arxiv.org/abs/2506.11362 https://arxiv.org/pdf/2…

Expanding Ricci solitons and Higgs bundles
Motivated by the long-time behavior of Ricci flows that collapse with bounded curvature, we study expanding Ricci solitons with nilpotent symmetry on vector bundles over a closed manifold. We prove that, under mild assumptions that are satisfied by Ricci flow limits, the equations dimension-reduce to the so-called twisted harmonic-Einstein equations. When the base is a surface, we establish a correspondence between solutions of the latter and a class of G-Higgs bundles. This allows us to produc…

Bounds for Geometric rank in Terms of Subrank
Qiyuan Chen, Ke Ye
https://arxiv.org/abs/2506.16132 https://arxiv.org/pdf/2506.16132

Bounds for Geometric rank in Terms of Subrank
For tensors of fixed order, we establish three types of upper bounds for the geometric rank in terms of the subrank. Firstly, we prove that, under a mild condition on the characteristic of the base field, the geometric rank of a tensor is bounded by a function in its subrank in some field extension of bounded degree. Secondly, we show that, over any algebraically closed field, the geometric rank of a tensor is bounded by a function in its subrank. Lastly, we prove that, for any order three tens…

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…

An explicit decomposition of higher Deligne-Lsuztig representations
Ben Liu, Sian Nie
https://arxiv.org/abs/2506.12918 https://arxiv.…

An explicit decomposition of higher Deligne-Lsuztig representations
In a previous paper, the second named author obtains a decomposition of an elliptic higher Deligne-Lusztig representation into irreducible summands, which are built in the same way as Yu types using a geometric analog $κ'$ of the Weil-Heisenberg representation $κ$. In this note, we show that $κ'$ and $κ$ differs by a character $χ$. Moreover, under a mild condition on the cardinality $q$ of the residue field (for instance $q > 3$), we show that $χ$ equals the quadratic character constructe…

This https://arxiv.org/abs/2310.14134 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Endomorphism algebras over commutative rings and torsion in self tensor products
Let $R$ be a commutative Noetherian local ring. We study tensor products involving a finitely generated $R$-module $M$ through the natural action of its endomorphism ring. In particular, we study torsion properties of self tensor products in the case where $\operatorname{End}_R(M)$ has an $R^*$-algebra structure, and prove that if $M$ is indecomposable, then $M \otimes_{\operatorname{End}_R(M)} M$ must always have torsion in this case under mild hypotheses.

On pure monomorphisms and pure epimorphisms in accessible categories
Leonid Positselski
https://arxiv.org/abs/2506.13374 https://arxi…

On pure monomorphisms and pure epimorphisms in accessible categories
In all $κ$-accessible additive categories, $κ$-pure monomorphisms and $κ$-pure epimorphisms are well-behaved, as shown in our previous paper arXiv:2311.02418. This is known to be not always true in $κ$-accessible nonadditive categories. Nevertheless, mild assumptions on a $κ$-accessible category are sufficient to prove good properties of $κ$-pure monomorphisms and $κ$-pure epimorphisms. In particular, in a $κ$-accessible category with finite products, all $κ$-pure monomorphisms are $κ…

This https://arxiv.org/abs/2505.03458 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

The classification of Alzheimer's disease and mild cognitive impairment improved by dynamic functional network analysis
Brain network analysis using functional MRI has advanced our understanding of cortical activity and its changes in neurodegenerative disorders that cause dementia. Recently, research in brain connectivity has focused on dynamic (time-varying) brain networks that capture both spatial and temporal information on cortical, regional co-activity patterns. However, this approach has been largely unexplored within the Alzheimer's spectrum. We analysed age- and sex-matched static and dynamic fMRI brain…

This https://arxiv.org/abs/2410.10239 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qfi…

Sample Average Approximation for Portfolio Optimization under CVaR constraint in an (re)insurance context
We consider optimal allocation problems with Conditional Value-At-Risk (CVaR) constraint. We prove, under very mild assumptions, the convergence of the Sample Average Approximation method (SAA) applied to this problem, and we also exhibit a convergence rate and discuss the uniqueness of the solution. These results give (re)insurers a practical solution to portfolio optimization under market regulatory constraints, i.e. a certain level of risk.

Is anyone aware of useful examples of "heterogeneous" indexed containers/dependent polynomial functors Set/I − Set/O where I and O are different? The Small Induction Recursion paper says
Dybjer and Setzer treated only the case where I and O are the same. Our mild generalization allows the construction of partial fixed points.
but I don't know what this means.

On the Bernstein-smoothed lower-tail Spearman's rho estimator
Fr\'ed\'eric Ouimet, Selim Orhun Susam
https://arxiv.org/abs/2506.08857 https://

On the Bernstein-smoothed lower-tail Spearman's rho estimator
This note develops a Bernstein estimator for lower-tail Spearman's rho and establishes its strong consistency and asymptotic normality under mild regularity conditions. Smoothing the empirical copula yields a strictly smaller mean squared error (MSE) in tail regions by lowering sampling variance relative to the classical Spearman's rho estimator. A Monte Carlo simulation experiment with the Farlie--Gumbel--Morgenstern copula demonstrates variance reductions that translate into lower MSE estimat…

On the constituents of the mod $p$ cohomology of Shimura curves
Christophe Breuil, Florian Herzig, Yongquan Hu, Stefano Morra, Benjamin Schraen
https://arxiv.org/abs/2506.16293

On the constituents of the mod $p$ cohomology of Shimura curves
Let $p$ be a prime number and $K$ a finite unramified extension of $\mathbb{Q}_p$. When $p$ is large enough with respect to $[K:\mathbb{Q}_p]$ and under mild genericity assumptions, we proved in our previous work that the admissible smooth representations $π$ of $\mathrm{GL}_2(K)$ that occur in Hecke eigenspaces of the mod $p$ cohomology are of finite length. In this paper we obtain various refined results about the structure of subquotients of $π$, such as their Iwahori-socle filtrations…

Regularizing effects of absorption terms in local-nonlocal mild singular problems
Stefano Biagi, Enzo Maria Merlino, Eugenio Vecchi
https://arxiv.org/abs/2506.11656

Regularizing effects of absorption terms in local-nonlocal mild singular problems
In this paper we prove existence and uniqueness of energy solutionns for singular problems with absorption driven by local-nonlocal operators. Moreover, we establish a comparison principle à la Talenti, leading to a gain of summability result for the solutions of these problems.

Theoretical Tensions in RLHF: Reconciling Empirical Success with Inconsistencies in Social Choice Theory
Jiancong Xiao, Zhekun Shi, Kaizhao Liu, Qi Long, Weijie J. Su
https://arxiv.org/abs/2506.12350

Theoretical Tensions in RLHF: Reconciling Empirical Success with Inconsistencies in Social Choice Theory
Despite its empirical success, Reinforcement Learning from Human Feedback (RLHF) has been shown to violate almost all the fundamental axioms in social choice theory -- such as majority consistency, pairwise majority consistency, and Condorcet consistency. This raises a foundational question: why does RLHF perform so well in practice if it fails these seemingly essential properties? In this paper, we resolve this paradox by showing that under mild and empirically plausible assumptions on the pre…

Isoperimetric profiles of lamplighter-like groups
Corentin Correia, Vincent Dumoncel
https://arxiv.org/abs/2506.13235 https://arxiv.o…

Isoperimetric profiles of lamplighter-like groups
Given a finitely generated amenable group $H$ satisfying some mild assumptions, we relate isoperimetric profiles of the lampshuffler group $\mathsf{Shuffler}(H)=\mathsf{FSym}(H)\rtimes H$ to those of $H$. Our results are sharp for all exponential growth groups for which isoperimetric profiles are known, including Brieussel-Zheng groups. This refines previous estimates obtained by Erschler and Zheng and by Saloff-Coste and Zheng. The most difficult part is to find an optimal upper bound, and our…

Julia Doubleday on the gamble that covid would be harmless to children
"It’s worth noting that at the time Kulldorff and the rest of the GBD crew were proclaiming COVID’s harmlessness to kids, they couldn’t possibly have had enough information to determine the veracity of their own claims. Viruses like the chickenpox, EBV, HIV, HPV, and HSV often present with mild initial infections but may cause major damage years later. We now know COVID can as well.
"For so-called experts to run with an assumption that an initially mild-presenting acute infection would be long-term harmless was just that; an assumption. They were willing to gamble the health of a generation of children on a guess in order to go “back to normal” because that’s what the oligarchy clamored for. Because it costs money to shut the world economy down. Because people who mattered were angry. Because children aren’t people who matter."
(GBD = Great Barrington Declaration, a bit of 2020 propaganda including the unfounded supposition that everyone who caught covid would be immune forever after)
Overall another excellent pointy article!
#children #covid #LongCovid #CovidIsntOver #GreatBarringtonDeclaration #misinformation

This https://arxiv.org/abs/2310.12271 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Herz-Type Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
Let $X$ be a ball quasi-Banach function space, $α\in \mathbb{R}$ and $q\in(0,\infty)$. In this paper, the authors first introduce the Herz-type Hardy space $\mathcal{H\dot{K}}_{X}^{α,\,q}({\mathbb {R}}^n)$, which is defined via the non-tangential grand maximal function. Under some mild assumptions on $X$, the authors establish the atomic decompositions of $\mathcal{H\dot{K}}_{X}^{α,\,q}({\mathbb {R}}^n)$. As an application, the authors obtain the boundedness of certain sublinear operators …

Radical property of the traces of the canonical modules of Cohen-Macaulay rings
Mitsuhiro Miyazaki
https://arxiv.org/abs/2506.17987 https://

Radical property of the traces of the canonical modules of Cohen-Macaulay rings
In this paper, we define a new concept of Noetherian commutative rings which stands between Gorenstein and Cohen-Macaulay properties. We show that this new property keep hold under common operations of commutative rings such as localization, polynomial extension and under mild assumptions, flat extension, tensor product, Segre product and so on. We show that for Schubert cycles, the Ehrhart rings of cycle graphs and perfect graphs, this new concept is close to Gorenstein property.

Stochastic Krasnosel skii-Mann Iterations in Banach Spaces with Bregman Distances
Saeed Hashemi Sababe, Ehsan Lotfali Ghasab
https://arxiv.org/abs/2506.08031

Stochastic Krasnosel skii-Mann Iterations in Banach Spaces with Bregman Distances
We propose a generalization of the stochastic Krasnoselskil-Mann $(SKM)$ algorithm to reflexive Banach spaces endowed with Bregman distances. Under standard martingale-difference noise assumptions in the dual space and mild conditions on the distance-generating function, we establish almost-sure convergence to a fixed point and derive non-asymptotic residual bounds that depend on the uniform convexity modulus of the generating function. Extensions to adaptive Bregman geometries and robust noise…

Optimal matchings of randomly perturbed lattices
Dor Elboim, Yinon Spinka, Oren Yakir
https://arxiv.org/abs/2506.16873 https://arxiv.…

Optimal matchings of randomly perturbed lattices
Consider a point process in Euclidean space obtained by perturbing the integer lattice with independent and identically distributed random vectors. Under mild assumptions on the law of the perturbations, we construct a translation-invariant perfect matching between this point process and the lattice, such that the matching distance has the same tail behavior as the hole probability of the point process, which is a natural lower bound.

Convergence Analysis of the Self-Adaptive Projection Method for Variational Inequalities with Non-Lipschitz Continuous Operators
Meiying Wang, Hongwei Liu, Jun Yang
https://arxiv.org/abs/2506.07349

Convergence Analysis of the Self-Adaptive Projection Method for Variational Inequalities with Non-Lipschitz Continuous Operators
In this paper, we employ Tseng's extragradient method with the self-adaptive stepsize to solve variational inequality problems involving non-Lipschitz continuous and quasimonotone operators in real Hilbert spaces. The convergence of the proposed method is analyzed under some mild assumptions. The key advantages of the method are that it does not require the operator associated with the variational inequality to be Lipschitz continuous and that it adopts the self-adaptive stepsize. Numerical exp…

Invariant measures for stochastic Burgers equation on unbounded domains
Zhenxin Liu, Zhiyuan Shi
https://arxiv.org/abs/2506.07119 https://

Invariant measures for stochastic Burgers equation on unbounded domains
In this paper, we investigate the stochastic damped Burgers equation with multiplicative noise defined on the entire real line. We demonstrate the existence and uniqueness of a mild solution to the stochastic damped Burgers equation and establish that the solution is uniformly bounded in time. Furthermore, by employing the uniform estimates on the tails of the solution, we obtain the tightness of a family of probability distributions of the solution. Subsequently, by applying the Krylov-Bogolio…

Biden's record on covid
Saw a comment along the lines of: "seems unfair to criticise Biden's record on covid, while the situation now under Trump is so much worse".
But I don't think of them as separate. Biden's government _contributed_ to how covid stands under Trump.
If Biden's lot had taken the opportunity to educate people (at least the ones open to considering science findings) that
- it's airborne like smoke
- an empty room can hold infectious virus
- air filters, UV and fresh air reduce the levels of it
- masks work better the better they fit
- you can be infectious without/before symptoms
- you're fairly likely still to be infectious for 10 days, a few people longer
- current vaccines don't stop you catching it or transmitting it
- it can mess with your immune system so you're more likely to catch other things
- vaccinated people can still get Long Covid
- it's not "mild", it's just that the damage is quiet
then even if they hadn't done anything more to address the problem, people would be in a far better position to deploy their own common sense.
And unlike funding or laws, that investment in _knowledge_ is something it would be difficult for Trump's lot to roll back.
But Biden & co chose instead to play down the risks, and explicitly or implicitly mislead people (e.g. the 5-day quarantine, which contradicts the real infectious period).
So, yes it's worse now, but they _contributed_ to how it is now. They chose to encourage misapprehensions and confusion, and the effects of that choice are still playing out now.
Not letting them off the hook on the grounds of being comparatively "less bad", when they themselves laid some of the foundations of the current state of play.
#covid #Biden #USPol #CovidIsntOver

This https://arxiv.org/abs/2502.07313 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Critical exponent for the one-dimensional wave equation with a space-dependent scale invariant damping and time derivative nonlinearity
We investigate in this paper the Cauchy problem of the one-dimensional wave equation with space-dependent damping of the form $μ_0(1+x^2)^{-1/2}$, where $μ_0>0$, and time derivative nonlinearity. We establish global existence of mild solutions for small data compactly supported by employing energy estimates within suitable Sobolev spaces of the associated homogeneous problem. Furthermore, we derive a blow-up result under some positive initial data by employing the test function method. …

Lipschitz stability for Bayesian inference in porous medium tissue growth models
Tomasz D\k{e}biec, Piotr Gwiazda, B{\l}a\.zej Miasojedow, Katarzyna Ryszewska, Zuzanna Szyma\'nska, Aneta Wr\'oblewska-Kami\'nska
https://arxiv.org/abs/2506.04769

Lipschitz stability for Bayesian inference in porous medium tissue growth models
We consider a macroscopic model for the dynamics of living tissues incorporating pressure-driven dispersal and pressure-modulated proliferation. Given a power-law constitutive relation between the pressure and cell density, the model can be written as a porous medium equation with a growth term. We prove Lipschitz continuity of the mild solutions of the model with respect to the diffusion parameter (the exponent $γ$ in the pressure-density law) in the $L_1$ norm. While of independent analytica…