Tootfinder

Michael Gallup schedules visit with NFC team https://www.yardbarker.com/nfl/articles/michael_gallup_schedules_visit_with_nfc_team/s1_127_40119381

Michael Gallup schedules visit with NFC team
One day after his release from the Dallas Cowboys, wide receiver Michael Gallup has a visit set up with another NFC team. Gallup is slated to visit the Carolina Panthers next week, according to Ian Rapoport of NFL Network. The wide receiver is a free agent after the Cowboys released him for cap reasons. The 28-year-old Gallup figures to attract a solid amount of interest on the open market. While he has never matched his 2019 season, he has been a consistent secondary option throughout his care…

2024 NFL salary cap is set: Raiders currently top ten in cap space https://raiderswire.usatoday.com/2024/02/23/2024-nfl-salary-cap-is-set-raiders-currently-top-ten-in-cap-space/

2024 NFL salary cap is set: Raiders currently top ten in cap space
2024 NFL salary cap is set: Raiders currently top ten in cap space

Cowboys restructure Zack Martin’s contract, save $13M in cap space https://www.yardbarker.com/nfl/articles/cowboys_restructure_zack_martins_contract_save_13m_in_cap_space/s1_17100_40077267

Cowboys restructure Zack Martin’s contract, save $13M in cap space
With NFL free agency right around the corner, the Dallas Cowboys have found a way to give them a little bit of extra cap space. The Cowboys and Zack Martin have reworked their contract to free up about $13 million for 2024. According to ESPN, Martin's contract was set to expire after this season, but he had three voidable years through 2027. With this news, Dallas is now under the $255 million cap before the start of the league year next. Last summer, the Cowboys gave Martin an $8.5 million rai…

On cardinal invariants related to Rosenthal families and large-scale topology
Arturo Mart\'inez-Celis, Tomasz \.Zuchowski
https://arxiv.org/abs/2404.06639

On cardinal invariants related to Rosenthal families and large-scale topology
Given a function $f \in ω^ω$, a set $A \in [ω]^ω$ is free for $f$ if $f[A] \cap A$ is finite. For a class of functions $Γ\subseteq ω^ω$, we define $\mathfrak{ros}_Γ$ as the smallest size of a family $\mathcal{A}\subseteq [ω]^ω$ such that for every $f\inΓ$ there is a set $A \in \mathcal{A}$ which is free for $f$, and $Δ_Γ$ as the smallest size of a family $\mathcal{F}\subseteqΓ$ such that for every $A\in[ω]^ω$ there is $f\in\mathcal{F}$ such that $A$ is not free for $f$. We compa…

Admissable sets do not exist for all parameters
Luke Pebody
https://arxiv.org/abs/2403.00478 https://arxiv.org/pdf/2403.00478<…

Admissable sets do not exist for all parameters
A cap set in $\mathbb{F}_3^n$ is a subset that contains no three elements adding to 0. Building on a construction of Edel, a recent paper of Tyrrell gave the first improvement to the lower bound for a size of a cap set in two decades showing that, for large enough $n$, there is always a cap set in $\mathbb{F}_3^n$ of size at least $2.218^n$. This was shown by constructing what is called an $I(11,7)$ admissible set. An admissible set is a subset of $\{0,1,2\}^m$ such that the supports of the v…

This https://arxiv.org/abs/2312.13054 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Anosov flows in dimension 3 from gluing building blocks with quasi-transverse boundary
We prove a new result allowing to construct Anosov flows in dimension 3 by gluing building blocks. By a building block, we mean a compact 3-manifold with boundary $P$, equipped with a $C^1$ vector field $X$, such that the maximal invariant set $\cap_{t \in \mathbb{R}} X^t (P)$ is a saddle hyperbolic set, and the boundary $\partial P$ is quasi-transverse to $X$, i.e. transverse except for a finite number of periodic orbits contained in $\partial P$. Our gluing theorem is a generalization of a re…

Cap Overdraft Fees at $3! Submit an Official Public Comment Supporting the CFPB’s Junk Fees Proposal Now!
https://actionnetwork.org/letters/submit-an-official-public-comment-supporting-the-cfpbs-overdraft-fees-p…

Cap Overdraft Fees at $3! Submit an Official Public Comment Supporting the CFPB’s Junk Fees Proposal Now!
At long last, the Consumer Financial Protection Bureau has issued their finalized proposal on capping exploitative overdraft fees, which in some cases have been set as high as $39 per transaction.[1] This proposal is part of CFPB’s ongoing effort to tackle junk fees in the banking and finance industries -- and it’s a very significant step towards just and equitable banking, since the group of people most impacted by overdraft fees are low-income, Black, and brown families. The ne…

Dallas Cowboys restructure All-Pro guard Zack Martin’s contract, clearing cap space https://www.yardbarker.com/nfl/articles/dallas_cowboys_restructure_all_pro_guard_zack_martins_contract_clearing…

Dallas Cowboys restructure All-Pro guard Zack Martin’s contract, clearing cap space
The Dallas Cowboys and All-Pro right guard Zack Martin agreed to a contract restructure this week that will clear roughly $13 million in cap space for the team in 2024, according to NFL insider Tom Pelissero. Martin could still be headed for a major extension this offseason after negotiations for a bigger deal pushed into training camp last year. If they don’t extend his contract, he’s set to become a free agent in 2025. By converting the bulk of Martin’s salary into a signing bonus, the …

Admissable sets do not exist for all parameters
Luke Pebody
https://arxiv.org/abs/2403.00478 https://arxiv.org/pdf/2403.00478<…

Admissable sets do not exist for all parameters
A cap set in $\mathbb{F}_3^n$ is a subset that contains no three elements adding to 0. Building on a construction of Edel, a recent paper of Tyrrell gave the first improvement to the lower bound for a size of a cap set in two decades showing that, for large enough $n$, there is always a cap set in $\mathbb{F}_3^n$ of size at least $2.218^n$. This was shown by constructing what is called an $I(11,7)$ admissible set. An admissible set is a subset of $\{0,1,2\}^m$ such that the supports of the v…

Raiders get good news after salary cap set for 2024 season https://www.reviewjournal.com/sports/raiders/raiders-get-good-news-after-salary-cap-set-for-2024-season-3005936/

Raiders get good news after salary cap set for 2024 season
The Raiders will have ample room under the salary cap after the NFL announced a record-breaking increase for the 2024 season.

papa gene #ween played a surprise solo set at royal records in #seattle over the weekend. https://www.youtube.com/watch?v=E432q7s4l8

Dallas Cowboys Set To Let 8X Pro Bowl Starter Flee In Free Agency https://www.yardbarker.com/nfl/articles/dallas_cowboys_set_to_let_8x_pro_bowl_starter_flee_in_free_agency/s1_17068_40046338

Dallas Cowboys Set To Let 8X Pro Bowl Starter Flee In Free Agency
The Dallas Cowboys are set to have a major hole on their roster this offseason as they plan to let an All-Pro starter leave in free agency. The Cowboys have a few major decisions to make with key contracts this offseason, and there’s only so much cap space to go around. Per Over The Cap, the Cowboys are in the red by over $10 million before free agency. The Cowboys are looking at extending Dak Prescott. Owner Jerry Jones wants to go all-in for 2024, and that means the team will spend to add a…

Report: Cowboys to pick up Micah Parsons 5th-year option as DE, save $2.7 million in salary cap space https://www.yardbarker.com/nfl/articles/report_cowboys_to_pick_up_micah_parso…

Report: Cowboys to pick up Micah Parsons 5th-year option as DE, save $2.7 million in salary cap space
The Dallas Cowboys are set to pick up Micah Parsons’ fifth-year option, according to The Dallas Morning News’ Michael Gehlken. It’s not a surprise considering the former Penn State star’s performance to start his career. But there’s a catch. The Cowboys are placing his option as a defensive end instead of a linebacker, Gehlken reported. By doing so, the franchise will save about $2.7 million. According to Over The Cap, the fifth-year option for linebackers who have made more than one …

Lower Bounds for the Minimum Spanning Tree Cycle Intersection Problem
Manuel Dubinsky, Kun-Mao Chao, C\'esar Massri, Gabriel Taubin
https://arxiv.org/abs/2404.17428

Lower Bounds for the Minimum Spanning Tree Cycle Intersection Problem
Minimum spanning trees are important tools in the analysis and design of networks. Many practical applications require their computation, ranging from biology and linguistics to economy and telecommunications. The set of cycles of a network has a vector space structure. Given a spanning tree, the set of non-tree edges defines cycles that determine a basis. The intersection of two such cycles is the number of edges they have in common and the intersection number -- denoted $\cap(G)$ -- is the nu…

Neural network based emulation of galaxy power spectrum covariances -- A reanalysis of BOSS DR12 data
Joseph Adamo, Hung-Jin Huang, Tim Eifler
https://arxiv.org/abs/2405.00125

Neural network based emulation of galaxy power spectrum covariances -- A reanalysis of BOSS DR12 data
We train neural networks to quickly generate redshift-space galaxy power spectrum covariances from a given parameter set (cosmology and galaxy bias). This covariance emulator utilizes a combination of traditional fully-connected network layers and transformer architecture to accurately predict covariance matrices for the high redshift, north galactic cap sample of the BOSS DR12 galaxy catalog. We run simulated likelihood analyses with emulated and brute-force computed covariances, and we quanti…

On the volume of convolution bodies in the plane
J. Haddad
https://arxiv.org/abs/2405.00212 https://arxiv.org/pdf/2405.00212

On the volume of convolution bodies in the plane
For every convex body $K \subset \mathbb R^n$ and $δ\in (0,1)$, the $δ$-convolution body of $K$ is the set of $x \in \mathbb R^n$ for which $\left|K \cap (K+x)\right|_n \geq δ\left|K\right|_n$. We show that for $n=2$ and any $δ\in (0,1)$, ellipsoids do not maximize the volume of the $δ$-convolution body of $K$, when $K$ runs over all convex bodies of a fixed volume. This behavior is somehow unexpected and contradicts the limit case $δ\to 1^-$, which is governed by …

Greedy Monochromatic Island Partitions
Steven van den Broek, Wouter Meulemans, Bettina Speckmann
https://arxiv.org/abs/2402.13340 https://

Greedy Monochromatic Island Partitions
Constructing partitions of colored points is a well-studied problem in discrete and computational geometry. We study the problem of creating a minimum-cardinality partition into monochromatic islands. Our input is a set $S$ of $n$ points in the plane where each point has one of $k \geq 2$ colors. A set of points is monochromatic if it contains points of only one color. An island $I$ is a subset of $S$ such that $\mathcal{CH}(I) \cap S = I$, where $\mathcal{CH}(I)$ denotes the convex hull of $I$…

Cowboys set to reunite with RB Ezekiel Elliott for 2024 season https://www.yardbarker.com/nfl/articles/cowboys_set_to_reunite_with_rb_ezekiel_elliott_for_2024_season/s1_17100_40298880

Cowboys set to reunite with RB Ezekiel Elliott for 2024 season
The latest news out of The Star will split the fanbase right down the middle like most controversial decisions tend to do. According to Dallas Morning News Reporter Michael Gehlken, the Cowboys and RB Ezekiel Elliott are set to sign a contract to bring him back to Dallas for 2024, agreeing to terms early Monday morning. In short, it means they failed to upgrade the running back position for the second consecutive offseason, leaving the room with big questions. Elliott was released as a cap casu…

This https://arxiv.org/abs/2402.11049 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Minimal Subgroups of ${\rm GL}_2(\mathbb{Z}_{S})$
Let $E$ be an elliptic curve over a number field $L$ and for a finite set $S$ of primes, let $ρ_{E,S} : {\rm Gal}(\overline{L}/L) \to {\rm GL}_{2}(\mathbb{Z}_{S})$ be the $S$-adic Galois representation. If $L \cap \mathbb{Q}(ζ_{n}) = \mathbb{Q}$ for all positive integers $n$ whose prime factors are in $S$, then $\det ρ_{E,S} : {\rm Gal}(\overline{L}/L) \to \mathbb{Z}_{S}^{\times}$ is surjective. We say that a finite index subgroup $H \subseteq {\rm GL}_{2}(\mathbb{Z}_{S})$ is \emph{minimal} …

To Pay Or Not To Pay: The Josh Jacobs Dilemma Facing The Raiders https://www.yardbarker.com/nfl/articles/to_pay_or_not_to_pay_the_josh_jacobs_dilemma_facing_the_raiders/s1_16460_40017314

To Pay Or Not To Pay: The Josh Jacobs Dilemma Facing The Raiders
With the new salary cap in place for the league year, the Las Vegas Raiders face a conundrum regarding All-Pro running back Josh Jacobs. Big news dropped earlier this week that will have major ramifications for the upcoming league year. The salary cap will be set at $255.4 million, according to NFL media—that’s quite a jump, a jump that’ll benefit the Raiders tremendously. So, what does that mean for No. 8 and his future in the Silver and Black? Well, there are different schools of though…

Variety of general position problems in graphs
Jing Tian, Sandi Klav\v{z}ar
https://arxiv.org/abs/2402.17338 https://arxiv.org/pdf/24…

Variety of general position problems in graphs
Let $X$ be a vertex subset of a graph $G$. Then $u, v\in V(G)$ are $X$-positionable if $V(P)\cap X \subseteq \{u,v\}$ holds for any shortest $u,v$-path $P$. If each two vertices from $X$ are $X$-positionable, then $X$ is a general position set. The general position number of $G$ is the cardinality of a largest general position set of $G$ and has been already well investigated. In this paper a variety of general position problems is introduced based on which natural pairs of vertices are require…

Keyshawn Johnson claims the Cowboys will be ‘foolish’ to not restructure Dak Prescott’s contract amid Jerry Jones’ resistance https://www.yardbarker.com/nfl/articles/ke

Keyshawn Johnson claims the Cowboys will be ‘foolish’ to not restructure Dak Prescott’s contract amid Jerry Jones’ resistance
The contract extension of the Dallas Cowboys quarterback Dak Prescott is becoming a big issue for the team. The quarterback is set to take a massive cap hit of $59.5 million. It can certainly create a heavy problem for the Cowboys. The team has to maintain the players’ salaries under the cap, but they have to address a lot, including an extension for the wide receiver CeeDee Lamb. In a recent interview at the Children’s Cancer Fund Event, the quarterback said that he believes the contr…

Variety of general position problems in graphs
Jing Tian, Sandi Klav\v{z}ar
https://arxiv.org/abs/2402.17338 https://arxiv.org/pdf/24…

Variety of general position problems in graphs
Let $X$ be a vertex subset of a graph $G$. Then $u, v\in V(G)$ are $X$-positionable if $V(P)\cap X \subseteq \{u,v\}$ holds for any shortest $u,v$-path $P$. If each two vertices from $X$ are $X$-positionable, then $X$ is a general position set. The general position number of $G$ is the cardinality of a largest general position set of $G$ and has been already well investigated. In this paper a variety of general position problems is introduced based on which natural pairs of vertices are require…

Keyshawn Johnson claims the Cowboys will be ‘foolish’ to not restructure Dak Prescott’s contract amid Jerry Jones’ resistance https://www.yardbarker.com/nfl/articles/ke

Keyshawn Johnson claims the Cowboys will be ‘foolish’ to not restructure Dak Prescott’s contract amid Jerry Jones’ resistance
The contract extension of the Dallas Cowboys quarterback Dak Prescott is becoming a big issue for the team. The quarterback is set to take a massive cap hit of $59.5 million. It can certainly create a heavy problem for the Cowboys. The team has to maintain the players’ salaries under the cap, but they have to address a lot, including an extension for the wide receiver CeeDee Lamb. In a recent interview at the Children’s Cancer Fund Event, the quarterback said that he believes the contr…

This https://arxiv.org/abs/2307.13481 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Rotated time-frequency lattices are sets of stable sampling for continuous wavelet systems
We provide an example for the generating matrix $A$ of a two-dimensional lattice $Γ= A\mathbb{Z}^2$, such that the following holds: For any sufficiently smooth and localized mother wavelet $ψ$, there is a constant $β(A,ψ)>0$, such that $βΓ\cap (\mathbb{R}\times\mathbb{R}^+)$ is a set of stable sampling for the wavelet system generated by $ψ$, for all $0<β\leq β(A,ψ)$. The result and choice of the generating matrix are loosely inspired by the studies of low discrepancy sequences and un…

On the discontinuities of Hausdorff dimension in generic dynamical Lagrange spectrum
Christian Camilo Silva Villamil
https://arxiv.org/abs/2403.18940 https…

On the discontinuities of Hausdorff dimension in generic dynamical Lagrange spectrum
Let $φ_0$ be a $C^2$-conservative diffeomorphism of a compact surface $S$ and let $Λ_0$ be a mixing horseshoe of $φ_0$. Given a smooth real function $f$ defined in $S$ and some diffeomorphism $φ$, close to $φ_0$, let $\mathcal{L}_{φ, f}$ be the Lagrange spectrum associated to the hyperbolic continuation $Λ(φ)$ of the horseshoe $Λ_0$ and $f$. We show that, for generic choices of $φ$ and $f$, if $L_{φ, f}$ is the map that gives the Hausdorff dimension of the set $\mathcal{L}_{φ, f}\ca…

Cowboys pick up Micah Parsons’ 5-year option, but at a different position https://www.yardbarker.com/nfl/articles/cowboys_pick_up_micah_parsons_5_year_option_but_at_a_different_position/s1_17100_40065484…

Cowboys pick up Micah Parsons’ 5-year option, but at a different position
The Dallas Cowboys are set to pick up Micah Parsons's fifth-year option, first reported last night by Michael Gehlken of the Dallas Morning News. Yet, it is not as simple as it sounds. Dallas is placing his option as a defensive end instead of a linebacker, by doing so the team will save about $2.7 million. According to Over The Cap , the fifth-year option for linebackers who have made more than one Pro Bowl is projected to be $24,007,000. For comparison, a defensive end who's played in at leas…

On the discontinuities of Hausdorff dimension in generic dynamical Lagrange spectrum
Christian Camilo Silva Villamil
https://arxiv.org/abs/2403.18940 https…

On the discontinuities of Hausdorff dimension in generic dynamical Lagrange spectrum
Let $φ_0$ be a $C^2$-conservative diffeomorphism of a compact surface $S$ and let $Λ_0$ be a mixing horseshoe of $φ_0$. Given a smooth real function $f$ defined in $S$ and some diffeomorphism $φ$, close to $φ_0$, let $\mathcal{L}_{φ, f}$ be the Lagrange spectrum associated to the hyperbolic continuation $Λ(φ)$ of the horseshoe $Λ_0$ and $f$. We show that, for generic choices of $φ$ and $f$, if $L_{φ, f}$ is the map that gives the Hausdorff dimension of the set $\mathcal{L}_{φ, f}\ca…

NFC Notes: Saquon Barkley, Dak Prescott, Cowboys, Eagles, Giants https://www.yardbarker.com/nfl/articles/nfc_notes_saquon_barkley_dak_prescott_cowboys_eagles_giants/s1_17039_40065076

NFC Notes: Saquon Barkley, Dak Prescott, Cowboys, Eagles, Giants
Michael Gehlken of The Dallas Morning News talked about some of Dallas’ biggest offseason decisions and where they stand on different points following the Combine. Gehlken doesn’t expect Dallas to be big spenders this offseason, as they are having to pay for previous restructures in dead cap this season. In addition, QB Dak Prescott, WR CeeDee Lamb and DE Micah Parsons are all in line for mega-extensions with their deals expiring after the season. Cowboys RB Tony Pollard is set to be a free…

This https://arxiv.org/abs/2307.13481 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Rotated time-frequency lattices are sets of stable sampling for continuous wavelet systems
We provide an example for the generating matrix $A$ of a two-dimensional lattice $Γ= A\mathbb{Z}^2$, such that the following holds: For any sufficiently smooth and localized mother wavelet $ψ$, there is a constant $β(A,ψ)>0$, such that $βΓ\cap (\mathbb{R}\times\mathbb{R}^+)$ is a set of stable sampling for the wavelet system generated by $ψ$, for all $0<β\leq β(A,ψ)$. The result and choice of the generating matrix are loosely inspired by the studies of low discrepancy sequences and un…

This https://arxiv.org/abs/2402.05818 has been replaced.
link: https://scholar.google.com/scholar?q=a

$L$-systems and the Lovász number
Given integers $n > k > 0$, and a set of integers $L \subset [0, k-1]$, an \emph{$L$-system} is a family of sets $\mathcal{F} \subset \binom{[n]}{k}$ such that $|F \cap F'| \in L$ for distinct $F, F'\in \mathcal{F}$. $L$-systems correspond to independent sets in a certain generalized Johnson graph $G(n, k, L)$, so that the maximum size of an $L$-system is equivalent to finding the independence number of the graph $G(n, k, L)$. The \emph{Lovász number} $\vartheta(G)$ is a semidefinite…

Dak Prescott ‘Confident’ About Getting Extension Done With Cowboys https://www.yardbarker.com/nfl/articles/dak_prescott_confident_about_getting_extension_done_with_cowboys/s1_17039_40057110

Dak Prescott ‘Confident’ About Getting Extension Done With Cowboys
Dak Prescott told reporters at a Children’s Cancer Fund event on Monday that he’s “confident” in getting an extension done with the Cowboys this offseason.  “I’m definitely confident, obviously it helps the team and it’s important for the numbers. I’ve heard Jerry say that. This is a process, both sides understand that. Everything is great. It will happen,” Prescott said, per Calvin Watkins.  Prescott is set to count nearly $60 million toward the cap in 2024, so the expectat…

This https://arxiv.org/abs/2307.04698 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Khintchine-type double recurrence in abelian groups
We prove a Khintchine-type recurrence theorem for pairs of endomorphisms of a countable discrete abelian group. As a special case of the main result, if $Γ$ is a countable discrete abelian group, $φ, ψ\in End(Γ)$, and $ψ- φ$ is an injective endomorphism with finite index image, then for any ergodic measure-preserving $Γ$-system $\left( X, \mathcal{X}, μ, (T_g)_{g \in Γ} \right)$, any measurable set $A \in \mathcal{X}$, and any $\varepsilon > 0$, the set of $g \in Γ$ for which $$μ\lef…

This https://arxiv.org/abs/2402.02525 has been replaced.
link: https://scholar.google.com/scholar?q=a

A note on vertex Turán problems in the Kneser cube
The Kneser cube $Kn_n$ has vertex set $2^{[n]}$ and two vertices $F,F'$ are joined by an edge if and only if $F\cap F'=\emptyset$. For a fixed graph $G$, we are interested in the most number $vex(n,G)$ of vertices of $Kn_n$ that span a $G$-free subgraph in $Kn_n$. We show that the asymptotics of $vex(n,G)$ is $(1+o(1))2^{n-1}$ for bipartite $G$ and $(1-o(1))2^n$ for graphs with chromatic number at least 3. We also obtain results on the order of magnitude of $2^{n-1}-vex(n,G)$ and $2^n-vex(n,G)$…