Tootfinder

#NowPlaying - in which animal collective's geologist deconstructs/reanimates a bunch of doug shaw's solo acoustic guitar videos. works much better as a full album than standalone tracks, moving (but not necessarily flowing) through jagged, jeweled terrains.

Not One to Rule Them All: Mining Meaningful Code Review Orders From GitHub
Abir Bouraffa, Carolin Brandt, Andy Zaidmann, Walid Maalej
https://arxiv.org/abs/2506.10654

Not One to Rule Them All: Mining Meaningful Code Review Orders From GitHub
Developers use tools such as GitHub pull requests to review code, discuss proposed changes, and request modifications. While changed files are commonly presented in alphabetical order, this does not necessarily coincide with the reviewer's preferred navigation sequence. This study investigates the different navigation orders developers follow while commenting on changes submitted in pull requests. We mined code review comments from 23,241 pull requests in 100 popular Java and Python repositorie…

Rotating Carroll Black Holes: A No Go Theorem
Ivan Kol\'a\v{r}, David Kubiznak, Poula Tadros
https://arxiv.org/abs/2506.10451 https://

Rotating Carroll Black Holes: A No Go Theorem
Recently, there has been a lot of interest in Carroll black holes and in particular whether or not one could find a Carrollian analogue of a rotating black hole spacetime. Here we show that every stationary and axisymmetric solution (and thence also a black hole) of Carrollian general relativity in any number of $d\geq 3$ dimensions is necessarily also static. Using this result, we construct a unique stationary and axisymmetric black hole in three dimensions - a static Carroll BTZ black hole. A…

On the use and interpretation of signal-model indistinguishability measures for gravitational-wave astronomy
Jonathan E. Thompson, Charlie Hoy, Edward Fauchon-Jones, Mark Hannam
https://arxiv.org/abs/2506.10530

On the use and interpretation of signal-model indistinguishability measures for gravitational-wave astronomy
The difference ("mismatch") between two gravitational-wave (GW) signals is often used to estimate the signal-to-noise ratio (SNR) at which they will be distinguishable in a measurement or, alternatively, when the errors in a signal model will lead to biased measurements. It is well known that the standard approach to calculate this "indistinguishability SNR" is too conservative: a model may fail the criterion at a given SNR, but not necessarily incur a biased measurement of any individual param…

Positivity of simplicial volume for closed nonpositively curved four-manifolds with nonzero Euler characteristic
Inkang Kim, Xueyuan Wan
https://arxiv.org/abs/2506.09524

Positivity of simplicial volume for closed nonpositively curved four-manifolds with nonzero Euler characteristic
In this paper, by employing the Gauss-Bonnet theorem for Riemannian simplices due to Allendoerfer and Weil, we show that if a closed nonpositively curved $4$-manifold has nonzero Euler characteristic, then its simplicial volume is necessarily positive. This result partially resolves conjectures posed by Connell-Ruan-Wang and Gromov concerning the relationship between the simplicial volume and the Euler characteristic for four-dimensional manifolds. As an application, we show that if a closed no…

On products of abelian skew braces
A. Ballester-Bolinches, R. Esteban-Romero, P. P\'erez-Altarriba
https://arxiv.org/abs/2506.09844 https://

On products of abelian skew braces
The main objective of this paper is to study factorisations of skew left braces through abelian subbraces. We prove a skew brace theoretical analog of the classical Itô's theorem about product of two abelian groups: if $B = A_1A_2$ is a skew brace which is the product of two abelian skew subbraces $A_1$ and $A_2$, and $A_1$ is a left and right ideal of $B$, then the commutator ideal $[B, B]^B$ of $B$ is an abelian brace. If $A_1$ is a left (non-necessarily right) ideal of $B$, we show that the…

Not necessarily walking back - everyone's seen it, served its purpose
Musk Deletes His 'Really Big Bomb' Claiming Trump Appears in Epstein Files
https://gizmodo.com/musk-deletes-his-really-big-bomb-claiming-trump-appears-in-epstein-files-2000612895

On the connectedness of the singular set of holomorphic foliations
Omegar Calvo-Andrade, Maur\'icio Corr\^ea, Marcos Jardim, Jos\'e Seade
https://arxiv.org/abs/2506.08942 …

On the connectedness of the singular set of holomorphic foliations
Let $\mathcal{F}$ be a codimension 1 singular holomorphic foliation on $\mathbb{P}^3$ and let $Z$ be the union of the 1-dimensional connected components of its singular set; Dominique Cerveau asked in 2013 whether $Z$ is necessarily connected. We prove that if a $k$-dimensional holomorphic foliation on a projective manifold whose determinant bundle of the normal sheaf is ample has a singular set $Z$ of dimension $k-1$, then $Z$ is connected. This can be regarded as providing an obstruction for …

I find myself doing a lot of the research when coding larger features or debugging hard problems over my phone these days, googling things, looking up articles, you name it. Because sometimes thoughts come to me when I am not necessarily in front of the PC and having the phone handy is really convenient.
So I really miss having the same convenience to try actual code out without having to walk over to my PC be it a room or half a town away.
Am I alone in that feeling?

Planets similar in size are often dissimilar in interior: #planets with similar radii, we show that their masses and interior structures are often disparate, indicating that even within the same system, similarity in radii is not necessarily a good proxy for similarity in composition or the physical nature of the planets."

This https://arxiv.org/abs/2501.13244 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the Instability of Nesterov's ODE under Non-Conservative Vector Fields
We study the instability properties of Nesterov's ODE in non-conservative settings, where the driving term is not necessarily the gradient of a potential function. While convergence properties under Nesterov's ODE are well-characterized for optimization settings with gradient-based driving terms, we show that the presence of arbitrarily small non-conservative terms can lead to instability, a phenomenon previously observed empirically via numerical studies in optimization and game-theoretic prob…

A porous medium equation with rough weights: sharp Widder theory
Gabriele Grillo, Matteo Muratori, Troy Petitt, Nikita Simonov
https://arxiv.org/abs/2506.08159

A porous medium equation with rough weights: sharp Widder theory
We establish an optimal \emph{Widder theory} for a weighted porous medium equation with rough and inhomogeneous density that may be singular at a point and tends to zero at spatial infinity. Specifically, for this equation, we identify a class $X$ of initial measure data that give rise to very weak solutions, we show that non-negative very weak solutions necessarily admit an initial trace in $X$ at time $t=0$, and we prove that any two non-negative solutions having the same initial trace are eq…

Meaning as Use, Application, Employment, Purpose, Usefulness
Ruy J. G. B. de Queiroz
https://arxiv.org/abs/2506.07131 https://arxiv.o…

Meaning as Use, Application, Employment, Purpose, Usefulness
Arising from the whole body of Wittgenstein's writings is a picture of a (not necessarily straight, linear, but admittedly tireless) journey to come to terms with the mechanics of language as an instrument to conceive `reality' and to communicate an acquired conception of the `world'. The journey passes through mathematics, psychology, color perception, certainty, aesthetic, but, looking at it from a sort of birdview, it seems reasonable to say that these are all used as `test beds' for his ref…

So, completed the first flight with the new controls. They are _significantly_ different than the setup that I have for _Elite: Dangerous_ which isn't necessarily a bad thing. Once I managed to get used to the control scheme the flight was pretty smooth.
Unfortunately I'm gonna need to practice landing and using the rudder pedals a lot because the landing was one of the absolute worst yet. The passengers were not amused, but since we all lived they should be grateful.
…

Asymptotic Solution for Skin Heating by an Electromagnetic Beam at an Incident Angle
Hongyun Wang, Shannon E. Foley, Hong Zhou
https://arxiv.org/abs/2506.07317

Asymptotic Solution for Skin Heating by an Electromagnetic Beam at an Incident Angle
We investigate the temperature evolution in the three-dimensional skin tissue exposed to a millimeter-wave electromagnetic beam that is not necessarily perpendicular to the skin surface. This study examines the effect of the beam's incident angle. The incident angle influences the thermal heating in two aspects: (i) the beam spot projected onto the skin is elongated compared to the intrinsic beam spot in a perpendicular cross section, resulting in a lower power per skin area; and (ii) within th…

The % of GDP spent on Defence isn't necessarily a measure that makes sense. Estonia is spending over a billion Euros a year which is whereabouts 3% is, and that makes sense for the size of Estonia's overall GDP.
The UK spend currently about £52B, spending 3% would take it to £76.8B, aside from spending more than the £20B what greater amount of defence would it actually provide a year?
An extra 10B and perhaps it would provide for missiles and ammunition. Greater manpow…

This https://arxiv.org/abs/2505.20475 has been replaced.
initial toot: https://mastoxiv.page/@a…

Numerical asymptotics of near-axis expansions of quasisymmetric magnetohydrostatic equilibria with anisotropic pressure
Quasisymmetry (QS) is a property of special magnetic configurations, where the magnetic field strength, but not necessarily the full vector field, has a direction of symmetry. QS leads to reduced neoclassical transport and thus can be a desirable property in stellarator design. The Garren-Boozer (GB) conundrum has been interpreted to mean that globally quasisymmetric magnetohydrostatic (MHS) equilibria, other than axisymmetric solutions, with isotropic pressure do not exist. When expanded as po…

This https://arxiv.org/abs/2505.16093 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiple chordal SLE($κ$) and quantum Calogero-Moser system
We study multiple chordal SLE$(κ)$ systems in a simply connected domain $Ω$, where $z_1, \ldots, z_n \in \partial Ω$ are boundary starting points and $q \in \partial Ω$ is an additional marked boundary point. As a consequence of the domain Markov property and conformal invariance, we show that the presence of the marked boundary point $q$ gives rise to a natural equivalence relation on partition functions. While these functions are not necessarily conformally covariant, each equivalence c…

Hopf actions on Poisson algebras
Awn Alqahtani, Jason Gaddis, Xingting Wang
https://arxiv.org/abs/2506.06135 https://arxiv.org/pdf/25…

Hopf actions on Poisson algebras
We study finite-dimensional Hopf actions on Poisson algebras and explore the phenomenon of quantum rigidity in this context. Our main focus is on filtered (and especially quadratic) Poisson algebras, including the Weyl Poisson algebra in $2n$ variables and certain Poisson algebras in two variables. In particular, we show that any finite-dimensional Hopf algebra acting inner faithfully on these Poisson algebras must necessarily factor through a group algebra-mirroring well-known rigidity theorem…

This https://arxiv.org/abs/2505.24772 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Mixed state concurrence for symmetric systems
We present a method to quantify entanglement in mixed states of highly symmetric systems. Symmetry constrains interactions between parts and predicts the degeneracies of the states. While symmetry alone produces entangled eigenstates, the thermal mixed state (density) which contains all of the eigenstate densities weighted by their Boltzmann factors is not necessarily as entangled as the eigenstates themselves because generally the mixed state can be re-expressed as a sum over densities which a…

OxO2 -- A SSSOM mapping browser for logically sound crosswalks
Henriette Harmse, Haider Iqbal, Helen Parkinson, James McLaughlin
https://arxiv.org/abs/2506.04286

OxO2 -- A SSSOM mapping browser for logically sound crosswalks
EMBL-EBI created OxO to enable users to map between datasets that are annotated with different ontologies. Mappings identified by the first version of OxO were not necessarily logically sound, missed important provenance information such as author and reviewer, and could timeout or crash for certain requests. In this paper we introduce OxO2 to address these concerns. Provenance is addressed by implementing SSSOM, a mapping standard that defines provenance for mappings. SSSOM defines the conditi…

This https://arxiv.org/abs/2401.17852 has been replaced.
link: https://scholar.google.com/scholar?q=a

Theoretical smoothing frameworks for nonsmooth simple bilevel problems
Bilevel programming has recently received a great deal of attention due to its abundant applications in many areas. The optimal value function approach provides a useful reformulation of the bilevel problem, but its utility is often limited due to the nonsmoothness of the value function even in cases when the associated lower-level function is smooth. In this paper, we present two smoothing strategies for the value function associated with lower-level functions that are not necessarily smooth b…

On gluing and splitting series invariants of plumbed 3-manifolds
Allison H. Moore, Nicola Tarasca
https://arxiv.org/abs/2506.06515 https://

On gluing and splitting series invariants of plumbed 3-manifolds
We study series invariants for plumbed 3-manifolds and knot complements twisted by a root lattice. Our series recover recent results of Gukov-Pei-Putrov-Vafa, Gukov-Manolescu, Park, and Ri and apply more generally to 3-manifolds which are not necessarily negative definite. We show that our series verify certain gluing and splitting properties related to the corresponding operations on 3-manifolds. We conclude with an explicit description of the case of lens spaces and Brieskorn spheres.

RFK (Sr) said of Athens, "greatness does not require size [and] size does not necessarily bring greatness". Ditto Florence. I walked between the two poles of power—Palazzo Vecchio and Palazzo Medici—and it was < 900 steps (and that includes dodging meandering tourists). #Italy25

#CFP: Meeting at the Crossroads: Understanding the Intersection of Rhetoric, Race, and Religion
https://ift.tt/BRQ0Ya6
Laurent Pernot wrote, “Religion is intimately linked with words. Everyone knows that the spoken…

#CFP: Meeting at the Crossroads: Understanding the Intersection of Rhetoric, Race, and Religion
Laurent Pernot wrote, “Religion is intimately linked with words. Everyone knows that the spoken and written word plays an essential role in religion, as language is necessarily used to address the gods or God, to speak about the divine or the sacred, and to express religious feeling or awareness”. Thus, Pernot called for an understanding of the role rhetoric plays in our expression and performance of religion.

This https://arxiv.org/abs/2505.11414 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Multigraph Characterization of Permutiple Strings
A permutiple is a natural number whose representation in some base is an integer multiple of a number whose representation has the same collection of digits. A previous paper utilizes a finite-state-machine construction and its state graph to recognize permutiples and to generate new examples. Permutiples are associated with walks on the state graph which necessarily satisfy certain conditions. However, the above effort does not provide conditions sufficient for the existence of permutiples. In…

This https://arxiv.org/abs/2502.06200 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDS_…

On the query complexity of sampling from non-log-concave distributions
We study the problem of sampling from a $d$-dimensional distribution with density $p(x)\propto e^{-f(x)}$, which does not necessarily satisfy good isoperimetric conditions. Specifically, we show that for any $L,M$ satisfying $LM\ge d\ge 5$, $ε\in \left(0,\frac{1}{32}\right)$, and any algorithm with query accesses to the value of $f(x)$ and $\nabla f(x)$, there exists an $L$-log-smooth distribution with second moment at most $M$ such that the algorithm requires $\left(\frac{LM}{dε}\right)^{�…

$L$-packets and the generic Arthur packet conjectures for even unitary similitude groups
Yeansu Kim, Muthu Krishnamurthy, Freydoon Shahidi
https://arxiv.org/abs/2506.00892

$L$-packets and the generic Arthur packet conjectures for even unitary similitude groups
We establish the generic local Langlands correspondence by showing the equality of the Langlands-Shahidi $L$-functions and Artin $L$-functions in the case of even unitary similitude groups. As an application, we prove both weak and strong versions of the generic Arthur packet conjectures in the cases of even unitary similitude groups and even unitary groups. We further describe (not necessarily generic) $L$-packets for even unitary similitude groups and establish their expected properties, incl…

This https://arxiv.org/abs/2501.16423 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Theory of neutrino slow flavor evolution. Part II. Space-time evolution of linear instabilities
Slow flavor evolution (defined as driven by neutrino masses and not necessarily ``slow'') is receiving fresh attention in the context of compact astrophysical environments. In Part~I of this series, we have studied the slow-mode dispersion relation following our recently developed analogy to plasma waves. The concept of resonance between flavor waves in the linear regime and propagating neutrinos is the defining feature of this approach. It is best motivated for weak instabilities, which probab…

$J$-class weighted translations on locally compact groups
M. R. Azimi, I. Akbarbaglu, A. R. Imanzadeh Fard
https://arxiv.org/abs/2506.04730 https://…

$J$-class weighted translations on locally compact groups
A bounded linear operator $T$ on a Banach space $X$ (not necessarily separable) is said to be $J$-class operator whenever the extended limit set, say $J_T(x)$ equals $X$ for some vector $x\in X$. Practically, the extended limit sets localize the dynamical behavior of operators. In this paper, using the extended limit sets we will examine the necessary and sufficient conditions for the weighted translation $T_{a,ω}$ to be $J$-class on a locally compact group $G$, within the setting of $ L^p$-sp…

"Once you operationalize #management ideas in a real organization it necessarily should have differences from how it is operationalized elsewhere. As Deming said there are no effective simple recipes for management."

This https://arxiv.org/abs/2408.03984 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Fractionalization as an alternate to charge ordering in electronic insulators
Incompressible insulating phases of electronic systems at partial filling of a lattice are often associated with charge ordering that breaks lattice symmetry. The resulting phases have an enlarged unit cell with an effective integer filling. Here we explore the possibility of insulating states - which we dub "Quantum Charge Liquids" (QCL) - at partial lattice filling that preserve lattice translation symmetry. Such QCL phases must necessarily either have gapped fractionally charged excitations …

Viscosity in Isotropic Cosmological Backgrounds in General Relativity and Starobinsky Gravity
Eliseo Pavone, Luigi Tedesco
https://arxiv.org/abs/2506.05180

Viscosity in Isotropic Cosmological Backgrounds in General Relativity and Starobinsky Gravity
We present a general analysis of the role of shear viscosity in cosmological backgrounds, focusing on isotropic space-time in both Einstein and $f(R)$ gravity. By computing the divergence of the stress-energy tensor in a general class of isotropic (but not necessarily homogeneous) geometries, we show that shear viscosity does not contribute to the background dynamics when the fluid is comoving. This result holds in both the Jordan and Einstein frames, and implies that shear viscosity cannot aff…

This https://arxiv.org/abs/2311.01835 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Surjective rational maps and del Pezzo surfaces
We study surjective (not necessarily regular) rational endomorphisms $f$ of smooth del Pezzo surfaces $X$. We prove that under certain natural non\,-\,degeneracy condition $f$ can have degree bigger than $1$ only when $(-K_X^2) > 5$. Some structural properties of $f$ in the case $X = \p^2$ are also established.

Higher order spectral shift of Euclidean Callias operators
Oliver F\"urst
https://arxiv.org/abs/2506.01647 https://arxiv.org/pdf…

Higher order spectral shift of Euclidean Callias operators
We consider Dirac-Schrödinger operators over odd-dimensional Euclidean space. The conditions for the potential are based on those of C. Callias in his famous paper on the corresponding index problem. However, we treat the case where the potential can take values in unbounded operators of a separable Hilbert space, and crucially, we also do not assume that the potential needs to be invertible outside a compact region. Hence, the Dirac-Schrödinger operator is not necessarily Fredholm. In the se…

Is there a #PrivacyFriendly #excercise logging service? Kinda like Strava, but not necessarily with the social aspect. Ideally #SelfHosted

Mixed state concurrence for symmetric systems
S. H. Curnoe, D. Gajera, C. Wei
https://arxiv.org/abs/2505.24772 https://arxiv.org/pdf/…

Mixed state concurrence for symmetric systems
We present a method to quantify entanglement in mixed states of highly symmetric systems. Symmetry constrains interactions between parts and predicts the degeneracies of the states. While symmetry alone produces entangled eigenstates, the thermal mixed state (density) which contains all of the eigenstate densities weighted by their Boltzmann factors is not necessarily as entangled as the eigenstates themselves because generally the mixed state can be re-expressed as a sum over densities which a…

On a linear equation arising in the study of phase separation of BEC's
Christos Sourdis
https://arxiv.org/abs/2506.05299 https://…

On a linear equation arising in the study of phase separation of BEC's
We consider the inner limit system describing the phase separation in two-component Bose-Einstein condensates linearized around the one-dimensional solution in an infinite strip with zero and periodic boundary conditions, and obtain optimal invertibility estimates for the Fourier modes without necessarily assuming orthogonality conditions.

This https://arxiv.org/abs/2002.10921 has been replaced.
link: https://scholar.google.com/scholar?q=a

A computer-friendly construction of the monster
Let $\mathbb{M}$ be the monster group which is the largest sporadic finite simple group, and has first been constructed in 1982 by Griess. In 1985, Conway has constructed a 196884-dimensional representation $ρ$ of $\mathbb{M}$ with matrix coefficients in $\mathbb{Z}[\frac{1}{2}]$. So these matrices may be reduced modulo any (not necessarily prime) odd number $p$, leading to representations of $\mathbb{M}$ in odd characteristic. The representation $ρ$ is based on representations of two maximal…

Counting the number of $\mathbb{Z}_{p}$-and $\mathbb{F}_{p}[t]$-fixed points of a discrete dynamical system with applications from arithmetic statistics, III
Brian Kintu
https://arxiv.org/abs/2505.24565

Counting the number of $\mathbb{Z}_{p}$-and $\mathbb{F}_{p}[t]$-fixed points of a discrete dynamical system with applications from arithmetic statistics, III
In this follow-up paper, we again inspect a surprising relationship between the set of fixed points of a polynomial map $φ_{d, c}$ defined by $φ_{d, c}(z) = z^d + c$ for all $c, z \in \mathcal{O}_{K}$ or $c, z \in \mathbb{Z}_{p}$ or $c, z \in \mathbb{F}_{p}[t]$ and the coefficient $c$, where $K$ is any number field (not necessarily real) of degree $n > 1$, $p>2$ is any prime integer, and $d>2$ is an integer. As in \cite{BK1,BK2} we again wish to study here counting problems that are inspired …

This https://arxiv.org/abs/2410.14774 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Experimental targets for dark photon dark matter
Ultralight dark photon dark matter features distinctive cosmological and astrophysical signatures and is also supported by a burgeoning direct-detection program searching for its kinetic mixing with the ordinary photon over a wide mass range. Dark photons, however, cannot necessarily constitute the dark matter in all of this parameter space. In minimal models where the dark photon mass arises from a dark Higgs mechanism, early-Universe dynamics can easily breach the regime of validity of the lo…

Polynomial-Time Algorithms for Black-Box Distributive Expanded Groups
Mikhail Anokhin
https://arxiv.org/abs/2505.20497 https://arxiv.…

Polynomial-Time Algorithms for Black-Box Distributive Expanded Groups
Let $Ω$ be a finite set of finitary operation symbols. An $Ω$-expanded group is a group (written additively and called the additive group of the $Ω$-expanded group) with an $Ω$-algebra structure. We use the black-box model of computation in $Ω$-expanded groups. In this model, elements of a finite $Ω$-expanded group $H$ are represented (not necessarily uniquely) by bit strings of the same length, say, $n$. Given representations of elements of $H$, equality testing and the fundamental opera…

This https://arxiv.org/abs/2504.02966 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On deformation of perfectoid purity in Gorenstein domains
If $(R,\mathfrak{m})$ is a complete local ring of mixed characteristic $(0,p)$ and $R/pR$ is an $F$-pure Gorenstein domain, we find a sufficient condition for $R$ to be perfectoid pure. This condition is related to the Cohen-Macaulayness of the absolute integral closures of Gorenstein local domains of mixed characteristic which are not necessarily excellent. Along the way, we show that the problem of lifting $F$-purity of $R/pR$ to perfectoid purity of $R$ is equivalent to a similar deformation…

This https://arxiv.org/abs/2412.09281 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Free ribbon lemma for surface-link
A free surface-link is a surface-link whose fundamental group is a free group not necessarily meridian-based. Free ribbon lemma says that every free sphere-link in the 4-sphere is a ribbon sphere-link. Four different proofs of Free ribbon lemma are explained. The first proof is done in an earlier paper. The second proof is done by showing that there is an O2-handle basis of a ribbon surface-link. The third proof is done by removing the commuter relations from a Wirtinger presentation of a free …

Asymptotic behavior of complete conformal metric near singular boundary
Weiming Shen, Yue Wang
https://arxiv.org/abs/2506.04591 https://

Asymptotic behavior of complete conformal metric near singular boundary
The boundary behavior of the singular Yamabe problem has been extensively studied near sufficiently smooth boundaries, while less is known about the asymptotic behavior of solutions near singular boundaries. In this paper, we study the asymptotic behaviors of solutions to the singular Yamabe problem with negative constant scalar curvature near singular boundaries and derive the optimal estimates for the background metric which is not necessarily conformally flat. In particular, we prove that th…

Existence and Properties of Frames of Iterations
A. Aguilera, C. Cabrelli, F. Negreira, V. Paternostro
https://arxiv.org/abs/2506.00567 https://

Existence and Properties of Frames of Iterations
Let T be a bounded operator acting on an infinite-dimensional Hilbert space. We provide necessary and sufficient conditions for the existence of a Parseval frame of iterations generated by T. Based in this result, we give a new proof of a known characterization concerning the existence of (not necessarily Parseval) frames of iterations. As a consequence of our results, we obtain that certain operators lack Parseval frames despite possessing frames of iterations. In addition, we introduce the in…

This https://arxiv.org/abs/2505.14762 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiple radial SLE($κ$) and quantum Calogero-Sutherland system
In this first of two articles, we study the multiple radial $\mathrm{SLE}(κ)$ systems with parameter $κ> 0$ -- a family of random multi-curve systems in a simply-connected domain $Ω$, with marked boundary points $z_1, \ldots, z_n \in \partial Ω$ and a marked interior point $q$. As a consequence of the domain Markov property and conformal invariance, we show that such systems are characterized by equivalence classes of partition functions, which are not necessarily conformally covariant. Nev…

Numerical asymptotics of near-axis expansions of quasisymmetric magnetohydrostatic equilibria with anisotropic pressure
Lanke Fu, Eduardo Rodriguez, Rory Conlin, Amitava Bhattacharjee
https://arxiv.org/abs/2505.20475

Numerical asymptotics of near-axis expansions of quasisymmetric magnetohydrostatic equilibria with anisotropic pressure
Quasisymmetry (QS) is a property of special magnetic configurations, where the magnetic field strength, but not necessarily the full vector field, has a direction of symmetry. QS leads to reduced neoclassical transport and thus can be a desirable property in stellarator design. The Garren-Boozer (GB) conundrum has been interpreted to mean that globally quasisymmetric magnetohydrostatic (MHS) equilibria, other than axisymmetric solutions, with isotropic pressure do not exist. When expanded as po…

This https://arxiv.org/abs/2504.02966 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On deformation of perfectoid purity in Gorenstein domains
If $(R,\mathfrak{m})$ is a complete local ring of mixed characteristic $(0,p)$ and $R/pR$ is an $F$-pure Gorenstein domain, we find a sufficient condition for $R$ to be perfectoid pure. This condition is related to the Cohen-Macaulayness of the absolute integral closures of Gorenstein local domains of mixed characteristic which are not necessarily excellent. Along the way, we show that the problem of lifting $F$-purity of $R/pR$ to perfectoid purity of $R$ is equivalent to a similar deformation…

#CFP: Meeting at the Crossroads: Understanding the Intersection of Rhetoric, Race, and Religion #acrel #Religidons #AARSBL

#CFP: Meeting at the Crossroads: Understanding the Intersection of Rhetoric, Race, and Religion
Laurent Pernot wrote, “Religion is intimately linked with words. Everyone knows that the spoken and written word plays an essential role in religion, as language is necessarily used to address the gods or God, to speak about the divine or the sacred, and to express religious feeling or awareness”. Thus, Pernot called for an understanding of the role rhetoric plays in our expression and performance of religion.