Tootfinder

This https://arxiv.org/abs/2308.16035 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Quasinormal modes of Reissner-Nordström-AdS: the approach to extremality
We consider the quasinormal spectrum of scalar and axial perturbations of the Reissner-Nordström-AdS black hole as the horizon approaches extremality. By considering a foliation of the black hole by spacelike surfaces which intersect the future horizon we implement numerical methods which are well behaved up to and including the extremal limit and which admit initial data which is nontrivial at the horizon. As extremality is approached we observe a transition whereby the least damped mode ceas…

This https://arxiv.org/abs/2403.16474 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCG_…

Sweeping Arrangements of Non-Piercing Curves in Plane
Let $Γ$ be a finite set of Jordan curves in the plane. For any curve $γ\in Γ$, we denote the bounded region enclosed by $γ$ as $\tildeγ$. We say that $Γ$ is a non-piercing family if for any two curves $α, β\in Γ$, $\tildeα \setminus \tildeβ$ is a connected region. A non-piercing family of curves generalizes a family of $2$-intersecting curves in which each pair of curves intersect in at most two points. Snoeyink and Hershberger (``Sweeping Arrangements of Curves'', SoCG '89) proved t…

This https://arxiv.org/abs/2308.16035 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Quasinormal modes of Reissner-Nordström-AdS: the approach to extremality
We consider the quasinormal spectrum of scalar and axial perturbations of the Reissner-Nordström-AdS black hole as the horizon approaches extremality. By considering a foliation of the black hole by spacelike surfaces which intersect the future horizon we implement numerical methods which are well behaved up to and including the extremal limit and which admit initial data which is nontrivial at the horizon. As extremality is approached we observe a transition whereby the least damped mode ceas…

Hazara Women: How Gender and Ethnicity Intersect in the Taliban’s Repression
https://www.justsecurity.org/93123/hazara-women-how-gender-and-ethnicity-intersect-in-the-talibans-repression/

Hazara Women: How Gender and Ethnicity Intersect in the Taliban’s Repression
Campaigns and discussions on the plight of Afghanistan's women and girls must address the multifaceted abuse of the gender-apartheid regime.

Transition of the semiclassical resonance widths across a tangential crossing energy-level
Marouane Assal, Setsuro fujiie, Kenta Higuchi
https://arxiv.org/abs/2402.19219

Transition of the semiclassical resonance widths across a tangential crossing energy-level
We consider a 1D $2\times 2$ matrix-valued operator \eqref{System0} with two semiclassical Schrödinger operators on the diagonal entries and small interactions on the off-diagonal ones. When the two potentials cross at a turning point with contact order $n$, the corresponding two classical trajectories at the crossing level intersect at one point in the phase space with contact order $2n$. We compute the transfer matrix at this point between the incoming and outgoing microlocal solutions and a…

This https://arxiv.org/abs/2205.11421 has been replaced.
link: https://scholar.google.com/scholar?q=a

Transference for loose Hamilton cycles in random $3$-uniform hypergraphs
A loose Hamilton cycle in a hypergraph is a cyclic sequence of edges covering all vertices in which only every two consecutive edges intersect and do so in exactly one vertex. With Dirac's theorem in mind, it is natural to ask what minimum $d$-degree condition guarantees the existence of a loose Hamilton cycle in a $k$-uniform hypergraph. For $k=3$ and each $d \in \{1,2\}$, the necessary and sufficient such condition is known precisely. We show that these results adhere to a `transference princ…

My take on the Google #AI image generator controversy, and bias in AI image generation in general:
When you ask for a generative creation (including LLMs) you WANT the AI to fill in a ton of details. Some of those are fine: backgrounds, textures, expressions, etc. Some can intersect with societal issues like race or gender.
LLMs actually can be vague –a benefit of language – but image genera…

UNESCO's nvestigation into Gender Bias in Large Language Models: 'LLMs generated negative content about gay subjects in approximately 70% of instances for Llama 2 and in approximately 60% of instances for GPT-2. Finally, in generating content using prompts which intersect gender and culture with occupation, the results highlight a clear bias in AI-generated content, showing a tendency to assign more diverse and professional jobs to men (teacher, doctor, driver), while often re…

This https://arxiv.org/abs/2403.09856 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCY_…

A Tale of Two Communities: Exploring Academic References on Stack Overflow
Stack Overflow is widely recognized by software practitioners as the go-to resource for addressing technical issues and sharing practical solutions. While it is not typically seen as a forum for scholarly discourse, users on Stack Overflow often refer to academic sources in their discussions. Yet, little is known about these referenced works from the academic community and how they intersect the needs and interests of the Stack Overflow community. To bridge this gap, we conducted a large-scale …

Tree decompositions meet induced matchings: beyond Max Weight Independent Set
Paloma T. Lima, Martin Milani\v{c}, Peter Mur\v{s}i\v{c}, Karolina Okrasa, Pawe{\l} Rz\k{a}\.zewski, Kenny \v{S}torgel
https://arxiv.org/abs/2402.15834

Tree decompositions meet induced matchings: beyond Max Weight Independent Set
For a tree decomposition $\mathcal{T}$ of a graph $G$, by $μ(\mathcal{T})$ we denote the size of a largest induced matching in $G$ all of whose edges intersect one bag of $\mathcal{T}$. Induced matching treewidth of a graph $G$ is the minimum value of $μ(\mathcal{T})$ over all tree decompositions $\mathcal{T}$ of $G$. Yolov [SODA 2018] proved that Max Weight Independent Set can be solved in polynomial time for graphs of bounded induced matching treewidth. In this paper we explore what other…

Various Artists
"Latent Sonorities"
#CreativeCommons

“It's dedicated to urban spirituality, how different identities intersect in the urban setting in Hong Kong.” And he plans to continue his search for answers. “All my struggles deal with the suffering of others, the suffering of refugees, the suffering of North Korean defectors. My academic passions, and also my personal passions, merge together.”
—John Curtis /🧵

Strong Haken via Thin Position
Scott Taylor
https://arxiv.org/abs/2402.14077 https://arxiv.org/pdf/2402.14077

Strong Haken via Thin Position
We use thin position of Heegaard splittings to give a new proof of Haken's Lemma that a Heegaard surface of a reducible manifold is reducible and of Scharlemann's ``Strong Haken Theorem'', that a Heegaard surface for a 3-manifold may be isotoped to intersect a given collection of essential spheres and discs in a single loop each. This article could also serve as an introduction to the theory of generalized Heegaard surfaces and it includes a careful study of their behaviour under amalgamation.

Series A, Episode 12 - Deliverance
BLAKE: No! We're staying here for as long as it takes. [Ensor grabs Cally around her neck, drags her to the floor, draws a gun and aims it at Blake.]
ENSOR: Keep back! [Points gun at Cally's head.] I'll kill her. I mean it. Now you get this ship started. Coordinates eleven, two, intersect five, nine.
https://blake.torpidity.net/s/112/196 📺 B7B9

Quantum Strategies and Economic Equilibrium
Arnab Kumar Maity
https://arxiv.org/abs/2402.13395 https://arxiv.org/pdf/2402.13395

Quantum Strategies and Economic Equilibrium
The quest for understanding the complex phenomena of the world has led to the development of various fields of science, each with its own methods, models, and assumptions. However, sometimes these fields can intersect and inspire each other, revealing new insights and perspectives that transcend the boundaries of their domains. In this paper, we explore one such fascinating intersection: the connection between economic theory and stochastic game dynamics, with applications to both firms and soc…

This https://arxiv.org/abs/2403.04157 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the diameter of intersection graphs of finite groups
The intersection graph $Δ_G$ of a finite group $G$ is a simple graph with vertices the non-trivial proper subgroups of $G$, and an edge between two vertices if their corresponding subgroups intersect non-trivially. These graphs were introduced by Csákány and Pollák in 1969. In this paper we answer two long-standing open questions posed by Csákány and Pollák concerning the diameter of intersection graphs. We prove some necessary conditions for a non-simple group to have an intersection gr…

This https://arxiv.org/abs/2212.05172 has been replaced.
link: https://scholar.google.com/scholar?q=a

Maximal transverse measures of expanding foliations
For an expanding (unstable) foliation of a diffeomorphism, we use a natural dynamical averaging to construct transverse measures, which we call \emph{maximal}, describing the statistics of how the iterates of a given leaf intersect the cross-sections to the foliation. For a suitable class of diffeomorphisms, we prove that this averaging converges, even exponentially fast, and the limit measures have finite ergodic decompositions. These results are obtained through relating the maximal transvers…

Strong Haken via Thin Position
Scott Taylor
https://arxiv.org/abs/2402.14077 https://arxiv.org/pdf/2402.14077

Strong Haken via Thin Position
We use thin position of Heegaard splittings to give a new proof of Haken's Lemma that a Heegaard surface of a reducible manifold is reducible and of Scharlemann's ``Strong Haken Theorem'', that a Heegaard surface for a 3-manifold may be isotoped to intersect a given collection of essential spheres and discs in a single loop each. This article could also serve as an introduction to the theory of generalized Heegaard surfaces and it includes a careful study of their behaviour under amalgamation.

Sweeping Arrangements of Non-Piercing Curves in Plane
Suryendu Dalal, Rahul Gangopadhyay, Rajiv Raman, Saurabh Ray
https://arxiv.org/abs/2403.16474 https:/…

Sweeping Arrangements of Non-Piercing Curves in Plane
Let $Γ$ be a finite set of Jordan curves in the plane. For any curve $γ\in Γ$, we denote the bounded region enclosed by $γ$ as $\tildeγ$. We say that $Γ$ is a non-piercing family if for any two curves $α, β\in Γ$, $\tildeα \setminus \tildeβ$ is a connected region. A non-piercing family of curves generalizes a family of $2$-intersecting curves in which each pair of curves intersect in at most two points. Snoeyink and Hershberger (``Sweeping Arrangements of Curves'', SoCG '89) proved t…

Series A, Episode 12 - Deliverance
BLAKE: No! We're staying here for as long as it takes. [Ensor grabs Cally around her neck, drags her to the floor, draws a gun and aims it at Blake.]
ENSOR: Keep back! [Points gun at Cally's head.] I'll kill her. I mean it. Now you get this ship started. Coordinates eleven, two, intersect five, nine.
https://blake.torpidity.net/s/112/196 📺 B7B9

This https://arxiv.org/abs/2308.06844 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On enumerative problems for maps and quasimaps: freckles and scars
We address the question of counting maps between projective spaces such that images of cycles on the source intersect cycles on the target. In this paper we do it by embedding maps into quasimaps that form a projective space of their own. When a quasimap is not a map, it contains freckles (studied earlier) and/or scars, appearing when the complex dimension of the source is greater than one. We consider a lot of examples showing that freckle/scar calculus (using excess intersection theory) works…

This https://arxiv.org/abs/2307.11871 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Using Axion Miniclusters to Disentangle the Axion-photon Coupling and the Dark Matter Density
Dark matter direct (and indirect) detection experiments usually can only determine a specific combination of a power of the coupling and the dark matter density. This is also true for axion haloscopes which are sensitive to the product $g^{2}_{aγγ}ρ_{\rm DM}$, the combination of axion-photon coupling squared and the dark matter density. In this note we show, that in the lucky case when we intersect with a so-called axion minicluster of a suitable size, we can utilize the spectral information…

Testing Intersectingness of Uniform Families
Ishay Haviv, Michal Parnas
https://arxiv.org/abs/2404.11504 https://arxiv.org/pdf/2404.1…

Testing Intersectingness of Uniform Families
A set family ${\cal F}$ is called intersecting if every two members of ${\cal F}$ intersect, and it is called uniform if all members of ${\cal F}$ share a common size. A uniform family ${\cal F} \subseteq \binom{[n]}{k}$ of $k$-subsets of $[n]$ is $\varepsilon$-far from intersecting if one has to remove more than $\varepsilon \cdot \binom{n}{k}$ of the sets of ${\cal F}$ to make it intersecting. We study the property testing problem that given query access to a uniform family ${\cal F} \subsete…

This https://arxiv.org/abs/2403.04157 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the diameter of intersection graphs of finite groups
The intersection graph $Δ_G$ of a finite group $G$ is a simple graph with vertices the non-trivial proper subgroups of $G$, and an edge between two vertices if their corresponding subgroups intersect non-trivially. These graphs were introduced by Csákány and Pollák in 1969. In this paper we answer two long-standing open questions posed by Csákány and Pollák concerning the diameter of intersection graphs. We prove some necessary conditions for a non-simple group to have an intersection gr…

This https://arxiv.org/abs/2308.00626 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Spectral structure of the Neumann-Poincaré operator on axially symmetric functions
We consider the Neumann-Poincaré operator on a three-dimensional axially symmetric domain which is generated by rotating a planar domain around an axis which does not intersect the planar domain. We investigate its spectral structure when it is restricted to axially symmetric functions. If the boundary of the domain is smooth, we show that there are infinitely many axially symmetric eigenfunctions and derive Weyl-type asymptotics of the corresponding eigenvalues. We also derive the leading ord…

An example of an "unlinked" set of $2k 3$ points in $2k$-space
M. Starkov
https://arxiv.org/abs/2402.09002 https://arxiv.…

An example of an "unlinked" set of $2k + 3$ points in $2k$-space
Take any $d + 3$ points in $\mathbb{R}^d$. It is known that (a) if $d = 2k + 1$, then there are two linked $(k + 1)$-simplices with the vertices at these points; (b) if $d = 2k$, then there are two disjoint $(k + 1)$-tuples of these points such that their convex hulls intersect. The analogue of (b) for $d = 2k + 1$, which is also the analogue of (a) for intersections (instead of linkings), states that there are two disjoint $(k + 1)$- and $(k + 2)$-tuples of these points such that their c…

A Tale of Two Communities: Exploring Academic References on Stack Overflow
Run Huang, Souti Chattopadhyay
https://arxiv.org/abs/2403.09856 https://<…

A Tale of Two Communities: Exploring Academic References on Stack Overflow
Stack Overflow is widely recognized by software practitioners as the go-to resource for addressing technical issues and sharing practical solutions. While it is not typically seen as a forum for scholarly discourse, users on Stack Overflow often refer to academic sources in their discussions. Yet, little is known about these referenced works from the academic community and how they intersect the needs and interests of the Stack Overflow community. To bridge this gap, we conducted a large-scale …

This https://arxiv.org/abs/2303.14525 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Transverse minimal foliations on unit tangent bundles and applications
We show that if $\mathcal{F}_1$ and $\mathcal{F}_2$ are two transverse minimal foliations on $M = T^1S$ then either they intersect in an Anosov foliation or there exists a Reeb-surface in the intersection foliation. The existence of a Reeb surface is incompatible with partially hyperbolic foliations so we deduce from this that certain partially hyperbolic diffeomorphisms in unit tangent bundles are collapsed Anosov flows. We also conclude that every volume preserving partially hyperbolic diffeo…

On Permutation Selectors and their Applications in Ad-Hoc Radio Networks Protocols
Jordan Kuschner, Yugarshi Shashwat, Sarthak Yadav, Marek Chrobak
https://arxiv.org/abs/2402.10783

On Permutation Selectors and their Applications in Ad-Hoc Radio Networks Protocols
Selective families of sets, or selectors, are combinatorial tools used to "isolate" individual members of sets from some set family. Given a set $X$ and an element $x\in X$, to isolate $x$ from $X$, at least one of the sets in the selector must intersect $X$ on exactly $x$. We study (k,N)-permutation selectors which have the property that they can isolate each element of each $k$-element subset of $\{0,1,...,N-1\}$ in each possible order. These selectors can be used in protocols for ad-hoc radi…

This https://arxiv.org/abs/2303.14525 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Transverse minimal foliations on unit tangent bundles and applications
We show that if $\mathcal{F}_1$ and $\mathcal{F}_2$ are two transverse minimal foliations on $M = T^1S$ then either they intersect in an Anosov foliation or there exists a Reeb-surface in the intersection foliation. The existence of a Reeb surface is incompatible with partially hyperbolic foliations so we deduce from this that certain partially hyperbolic diffeomorphisms in unit tangent bundles are collapsed Anosov flows. We also conclude that every volume preserving partially hyperbolic diffeo…

About Berge-F\"uredi's conjecture on the chromatic index of hypergraphs
Alain Bretto, Alain Faisant, Fran\c{c}ois Hennecart
https://arxiv.org/abs/2403.09518

About Berge-Füredi's conjecture on the chromatic index of hypergraphs
We show that the chromatic index of a hypergraph $\mathcal{H}$ satisfies Berge-Füredi conjectured bound $\mathrm{q}(\mathcal{H})\le Δ([\mathcal{H}]_2)+1$ under certain hypotheses on the antirank $\mathrm{ar}(\mathcal{H})$ or on the maximum degree $Δ(\mathcal{H})$. This provides sharp information in connection with Erdős-Faber-Lovász Conjecture which deals with the coloring of a family of cliques that intersect pairwise in at most one vertex.

This https://arxiv.org/abs/2307.11871 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Using Axion Miniclusters to Disentangle the Axion-photon Coupling and the Dark Matter Density
Dark matter direct (and indirect) detection experiments usually can only determine a specific combination of a power of the coupling and the dark matter density. This is also true for axion haloscopes which are sensitive to the product $g^{2}_{aγγ}ρ_{\rm DM}$, the combination of axion-photon coupling squared and the dark matter density. In this note we show, that in the lucky case when we intersect with a so-called axion minicluster of a suitable size, we can utilize the spectral information…

About Berge-F\"uredi's conjecture on the chromatic index of hypergraphs
Alain Bretto, Alain Faisant, Fran\c{c}ois Hennecart
https://arxiv.org/abs/2403.09518

About Berge-Füredi's conjecture on the chromatic index of hypergraphs
We show that the chromatic index of a hypergraph $\mathcal{H}$ satisfies Berge-Füredi conjectured bound $\mathrm{q}(\mathcal{H})\le Δ([\mathcal{H}]_2)+1$ under certain hypotheses on the antirank $\mathrm{ar}(\mathcal{H})$ or on the maximum degree $Δ(\mathcal{H})$. This provides sharp information in connection with Erdős-Faber-Lovász Conjecture which deals with the coloring of a family of cliques that intersect pairwise in at most one vertex.

On the diameter of intersection graphs of finite groups
Melissa Lee, Kamilla Rekv\'enyi
https://arxiv.org/abs/2403.04157 https://…

On the diameter of intersection graphs of finite groups
The intersection graph $Δ_G$ of a finite group $G$ is a simple graph with vertices the non-trivial proper subgroups of $G$, and an edge between two vertices if their corresponding subgroups intersect non-trivially. These graphs were introduced by Csákány and Pollák in 1969. In this paper we answer two long-standing open questions posed by Csákány and Pollák concerning the diameter of intersection graphs. We prove some necessary conditions for a non-simple group to have an intersection gr…