Tootfinder

Boundaries of multiply connected Fatou components. A unified approach
Gustavo R. Ferreira, Anna Jov\'e
https://arxiv.org/abs/2510.09241 https://arxiv.o…

Boundaries of multiply connected Fatou components. A unified approach
We analyze the boundaries of multiply connected Fatou components of transcendental maps by means of universal covering maps and associated inner functions. A unified approach is presented, which includes invariant Fatou components (of any type) as well as wandering domains. We prove that any Fatou component admits a harmonic measure on its boundary whose support is the whole boundary. Consequently, we relate, in a successful way, the geometric structure of such Fatou components (in terms of the…

... In connected news, I do like the fact that linkedin does not work well in Vivaldi on my phone.

Breakdown of the Wiedemann-Franz law in an interacting quantum Hall metamaterial
Patrice Roche, Carles Altimiras, Fran\c{c}ois D. Parmentier, Olivier Maillet
https://arxiv.org/abs/2510.10391

Breakdown of the Wiedemann-Franz law in an interacting quantum Hall metamaterial
Quantum heat transport by electrons in ballistic channels is usually well-described in the Landauer-Büttiker framework, which fails when introducing strong Coulomb interactions. We theoretically show that a chain of small metallic dots where charge cannot accumulate, connected by chiral ballistic channels, conducts heat better than charge. We relate this feature to the competition between heat diffusion by neutral excitations and Coulomb interactions in the chain, which defines a temperature g…

hiv_transmission: HIV transmission network (1988-2001)
A set of networks of HIV transmissions between people through sexual, needle-sharing, or social connections, based on combining 8 datasets collected from 1988 to 2001. Metadata includes test results of several diseases, as well as demographic variables such as age, ethnicity, and gender. Networks come in two flavors: egodyads and altdyads. Egodyads are the network among study-participants and their direct partners. Altdyads are the…

Free advice: When something Not Great happens that's relevant to Black folks or Jewish or queer or Arabic folks, such as hate crimes or laws restricting civil rights…
…please check in with your friends and colleagues who might be emotionally affected even if they're not directly connected
Sharing kind sentiments is as easy as "I heard about some recent events. You don't have to say anything, but I'm thinking about you and I care about your well-being ❤️"…

hiv_transmission: HIV transmission network (1988-2001)
A set of networks of HIV transmissions between people through sexual, needle-sharing, or social connections, based on combining 8 datasets collected from 1988 to 2001. Metadata includes test results of several diseases, as well as demographic variables such as age, ethnicity, and gender. Networks come in two flavors: egodyads and altdyads. Egodyads are the network among study-participants and their direct partners. Altdyads are the…

On the Optimization of Methods for Establishing Well-Connected Communities
Mohammad Dindoost, Oliver Alvarado Rodriguez, Bartosz Bryg, Minhyuk Park, George Chacko, Tandy Warnow, David A. Bader
https://arxiv.org/abs/2509.02590

On the Optimization of Methods for Establishing Well-Connected Communities
Community detection plays a central role in uncovering meso scale structures in networks. However, existing methods often suffer from disconnected or weakly connected clusters, undermining interpretability and robustness. Well-Connected Clusters (WCC) and Connectivity Modifier (CM) algorithms are post-processing techniques that improve the accuracy of many clustering methods. However, they are computationally prohibitive on massive graphs. In this work, we present optimized parallel implementat…

On orientations preserving edge-connectivity in infinite graphs
Leandro Aurichi, Paulo Magalh\~aes J\'unior, Guilherme Eduardo Pinto
https://arxiv.org/abs/2510.06449 https:/…

On orientations preserving edge-connectivity in infinite graphs
We prove that every 2k-edge-connected graph with countably many edge-ends admits a k-arc-connected orientation, extending the previous result by Assem, Koloschin and Pitz that also assumed the hypothesis of the graph being locally finite. We prove that, if every locally finite graph has a well-balanced orientation, so does every graph. Lastly, we explore an alternative to the Nash-Williams Orientation Conjecture via topological paths, and prove that it is true for every finitely separated graph.

Decided to give Postgresus a go for managing my DB backups and monitoring. Connected Vaultwarden and Immich's DBs to it, have them backing up to Backblaze B2 for offsite backups, and connected email and Discord notifications just in case the DBs eat themselves somehow. The backups work pretty well, gonna see how things go with it.
#homelab

EDIT:
This is not a novel idea https://github.com/w8tvi/dircproxy
---
I need some kind of client-dæmon IRC client that I can connect to from clients on various hosts which leaves me logged in via the dæmon, idles if explicitly set or no clients are connected, and shields the chatroom from joi…

Time-Frequency Filtering Meets Graph Clustering
Marcelo A. Colominas, Stefan Steinerberger, Hau-Tieng Wu
https://arxiv.org/abs/2510.07503 https://arxiv.org…

Time-Frequency Filtering Meets Graph Clustering
We show that the problem of identifying different signal components from a time-frequency representation can be equivalently phrased as a graph clustering problem: given a graph $G=(V,E)$ one aims to identify `clusters', subgraphs that are strongly connected and have relatively few connections between them. The graph clustering problem is well studied, we show how these ideas can suggest (many) new ways to identify signal components. Numerical experiments illustrate the ideas.

Quillen-Suslin Theorem for connected cochain DG algebras
Xuefeng Mao, Biyan Zhu
https://arxiv.org/abs/2509.01120 https://arxiv.org/pdf/2509.01120

Quillen-Suslin Theorem for connected cochain DG algebras
Let $\mathscr{A}$ be a connected cochain DG algebra and $P$ a DG $\mathscr{A}$-module such that its underlying graded module $P^{\#}$ is a finitely generated $\mathscr{A}^{\#}$-module. We show that $P$ is semi-free if it is semi-projective and it is categorically free if it is categorically projective. It can be considered as a generalization of the well-known Quillen-Suslin Theorem in DG context. As an application, we show that the ghost length and the cone length of a compact DG module coinci…

After sharing #vim and #neovim keybindings all over the place, I finally connected a couple of neurons and realized, 'Hey, maybe it’s time to share the one I actually use the most.' So here’s a handy little list, perfect for when I inevitably need to share them again (because I will).
…

Crosslisted article(s) found for cs.DC. https://arxiv.org/list/cs.DC/new
[1/1]:
- On the Optimization of Methods for Establishing Well-Connected Communities
Dindoost, Rodriguez, Bryg, Park, Chacko, Warnow, Bader

Spatial correlations in SIS processes on regular random graphs
Alexander Leibenzon, Samuel W. S. Johnson, Ruth E. Baker, Michael Assaf
https://arxiv.org/abs/2509.25386 https://

Spatial correlations in SIS processes on regular random graphs
In network-based SIS models of infectious disease transmission, infection can only occur between directly connected individuals. This constraint naturally gives rise to spatial correlations between the states of neighboring nodes, as the infection status of connected individuals becomes interdependent. Although mean-field approximations are commonly invoked to simplify disease forecasting on networks, they fail to account for these correlations by assuming that infectious individuals are well-m…

was at City Hall to support Supervisor Fielder's resolution for a publicly-owned green bank and happened to hear her introducing this as well. absolutely on target with the questions that needed to be asked 🎯
I couldn't be happier with my representation... the rest of that building, another story

S.F. supervisor calls for probe of mayor’s ‘eyebrow-raising’ $5.9M permitting deal
ackie Fielder called for hearing into contract signed, over staff objections, with connected OpenGov tech firm.

Well yeh that's why my Epson HX-20's 'charge battery' triggers - the detector input is indeed dropping below the 1.2v threshold with serial running (and microcassette connected albeit idle). So the voltage detector is triggering at the right voltage.
It could just be the lack of real batteries I guess, but hmm, getting there.
#retrocomputing

Digital functions along Squares of Prime Numbers
Michael Drmota, Jo\"el Rivat
https://arxiv.org/abs/2509.17474 https://arxiv.org/pdf/2509.17474…

Digital functions along Squares of Prime Numbers
In the last 20 years the Gelfond conjectures concerning the well distribution of the sum-of-digits function along prime numbers and along squares have been solved and these results, which are strongly connected with the Sarnak conjecture, were generalized to $q$-multiplicative functions and automatic sequences. In this paper we study a combination of both challenges and prove a Prime Number Theorem for $q$-multiplicative functions along squares which can be rewritten into a well distribution re…

A Mathematical Model of Hybrid Microgrid With Pole Placement Controller Using State Feedback For Stability Improvement
Yangyadatta Tripathy, Barjeev Tyagi
https://arxiv.org/abs/2509.01749

A Mathematical Model of Hybrid Microgrid With Pole Placement Controller Using State Feedback For Stability Improvement
This paper presents the development of a mathematical model of a converter state space model for a hybrid microgrid. The hybrid model combines the models of components such as DC-Converters, DC-AC converters, and their individual controllers, as well as loads. The input to the converter is considered a constant DC voltage, assumed to originate from distributed generations like solar, battery storage, or fuel-cells. The converter output is connected to a DC line through an LCL filter. The contro…

Ideally Connected Cographs and Chordal Graphs
Richter Jordaan
https://arxiv.org/abs/2509.14393 https://arxiv.org/pdf/2509.14393

Ideally Connected Cographs and Chordal Graphs
For distinct vertices $u,v$ in a graph $G$, let $κ_G(u,v)$ denote the maximum number of internally disjoint $u$-$v$ paths in $G$. Then, $κ_G(u,v) \leq \min\{ \mbox{deg}_G(u), \mbox{deg}_G(v) \}$. If equality is attained for every pair of vertices in $G$, then $G$ is called ideally connected. In this paper, we characterize the ideally connected graphs in two well-known graph classes: the cographs and the chordal graphs. We show that the ideally connected cographs are precisely the $2K_2$-free …

hiv_transmission: HIV transmission network (1988-2001)
A set of networks of HIV transmissions between people through sexual, needle-sharing, or social connections, based on combining 8 datasets collected from 1988 to 2001. Metadata includes test results of several diseases, as well as demographic variables such as age, ethnicity, and gender. Networks come in two flavors: egodyads and altdyads. Egodyads are the network among study-participants and their direct partners. Altdyads are the…

hiv_transmission: HIV transmission network (1988-2001)
A set of networks of HIV transmissions between people through sexual, needle-sharing, or social connections, based on combining 8 datasets collected from 1988 to 2001. Metadata includes test results of several diseases, as well as demographic variables such as age, ethnicity, and gender. Networks come in two flavors: egodyads and altdyads. Egodyads are the network among study-participants and their direct partners. Altdyads are the…

The cut-off resolvent can grow arbitrarily fast in obstacle scattering
Simon N. Chandler-Wilde, Siavash Sadeghi
https://arxiv.org/abs/2508.16958 https://ar…

The cut-off resolvent can grow arbitrarily fast in obstacle scattering
We consider time-harmonic acoustic scattering by a compact sound-soft obstacle $Γ\subset \mathbb{R}^n$ ($n\geq 2$) that has connected complement $Ω:= \mathbb{R}^n\setminus Γ$. This scattering problem is modelled by the inhomogeneous Helmholtz equation $Δu + k^2 u = -f$ in $Ω$, the boundary condition that $u=0$ on $\partial Ω= \partial Γ$, and the standard Sommerfeld radiation condition. It is well-known that, if the boundary $\partial Ω$ is smooth, then the norm of the cut-off resolvent…

On $k$-colorability of $(bull, H)$-free graphs
Nadzieja Hodur, Monika Pil\'sniak, Magdalena Prorok, Ingo Schiermeyer
https://arxiv.org/abs/2509.01698 https://

On $k$-colorability of $(bull, H)$-free graphs
The $3$-colorability problem is a well-known NP-complete problem and it remains NP-complete for $bull$-free graphs, where a $bull$ is the graph consisting of a $K_3$ with two pendant edges attached to two of its vertices. In this paper, for $k\geq3$, we characterize all $k$-colorable $(bull,claw)$-free graphs containing an induced cycle of length at least $6$. Moreover, we present the full characterization of all non $4$-colorable connected $(bull,claw)$-free graphs and $(bull,chair, C_5)$-free…

hiv_transmission: HIV transmission network (1988-2001)
A set of networks of HIV transmissions between people through sexual, needle-sharing, or social connections, based on combining 8 datasets collected from 1988 to 2001. Metadata includes test results of several diseases, as well as demographic variables such as age, ethnicity, and gender. Networks come in two flavors: egodyads and altdyads. Egodyads are the network among study-participants and their direct partners. Altdyads are the…

The coupling of mixed and primal finite element methods for the coupled body-plate problem
Jun Hu, Zhen Liu, Rui Ma
https://arxiv.org/abs/2509.10827 https://

The coupling of mixed and primal finite element methods for the coupled body-plate problem
This paper considers the coupled problem of a three-dimensional elastic body and a two-dimensional plate, which are rigidly connected at their interface. The plate consists of a plane elasticity model along the longitudinal direction and a plate bending model with Kirchhoff assumptions along the transverse direction. The Hellinger-Reissner formulation is adopted for the body by introducing the stress as an auxiliary variable, while the primal formulation is employed for the plate. The well-pose…

Effective Artin-Schreier-Witt theory for curves
Christophe Levrat, Rub\'en Mu\~noz--Bertrand
https://arxiv.org/abs/2509.10633 https://arxiv.org/pdf/250…

Effective Artin-Schreier-Witt theory for curves
We present an algorithm which, given a connected smooth projective curve $X$ over an algebraically closed field of characteristic $p>0$ and its Hasse--Witt matrix, as well as a positive integer $n$, computes all étale Galois covers of $X$ with group $\mathbb{Z}/p^n\mathbb{Z}$. We compute the complexity of this algorithm when $X$ is defined over a finite field, and provide a complete implementation in SageMath, as well as some explicit examples. We then apply this algorithm to the computation o…

hiv_transmission: HIV transmission network (1988-2001)
A set of networks of HIV transmissions between people through sexual, needle-sharing, or social connections, based on combining 8 datasets collected from 1988 to 2001. Metadata includes test results of several diseases, as well as demographic variables such as age, ethnicity, and gender. Networks come in two flavors: egodyads and altdyads. Egodyads are the network among study-participants and their direct partners. Altdyads are the…

Representation Theoretic Bases for the $\Delta$-Springer Module
Raymond Chou, Mitsuki Hanada
https://arxiv.org/abs/2509.24252 https://arxiv.org/pdf/2509.24…

Representation Theoretic Bases for the $Δ$-Springer Module
We give a descent monomial basis of $Δ$-Springer modules $R_{n,λ,s}$, first defined by Griffin. Our construction simultaneously generalizes the descent basis for the Garsia-Procesi module $R_λ$ studied by Carlsson-Chou and Hanada, as well as the descent basis for the generalized coinvariant algebras $R_{n,k}$ studied by Haglund-Rhoades-Shimozono. This basis is deeply connected with a combinatorial object called battery-powered tableaux, introduced by Gillespie-Griffin. We highlight the repre…

hiv_transmission: HIV transmission network (1988-2001)
A set of networks of HIV transmissions between people through sexual, needle-sharing, or social connections, based on combining 8 datasets collected from 1988 to 2001. Metadata includes test results of several diseases, as well as demographic variables such as age, ethnicity, and gender. Networks come in two flavors: egodyads and altdyads. Egodyads are the network among study-participants and their direct partners. Altdyads are the…

$\mathrm{L}^p$-based Sobolev theory for PDEs on closed manifolds of class $C^m$
Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov
https://arxiv.org/abs/2508.11109 https…

$\mathrm{L}^p$-based Sobolev theory for PDEs on closed manifolds of class $C^m$
We study the $\mathrm{L}^p$-based ($1

hiv_transmission: HIV transmission network (1988-2001)
A set of networks of HIV transmissions between people through sexual, needle-sharing, or social connections, based on combining 8 datasets collected from 1988 to 2001. Metadata includes test results of several diseases, as well as demographic variables such as age, ethnicity, and gender. Networks come in two flavors: egodyads and altdyads. Egodyads are the network among study-participants and their direct partners. Altdyads are the…

hiv_transmission: HIV transmission network (1988-2001)
A set of networks of HIV transmissions between people through sexual, needle-sharing, or social connections, based on combining 8 datasets collected from 1988 to 2001. Metadata includes test results of several diseases, as well as demographic variables such as age, ethnicity, and gender. Networks come in two flavors: egodyads and altdyads. Egodyads are the network among study-participants and their direct partners. Altdyads are the…

hiv_transmission: HIV transmission network (1988-2001)
A set of networks of HIV transmissions between people through sexual, needle-sharing, or social connections, based on combining 8 datasets collected from 1988 to 2001. Metadata includes test results of several diseases, as well as demographic variables such as age, ethnicity, and gender. Networks come in two flavors: egodyads and altdyads. Egodyads are the network among study-participants and their direct partners. Altdyads are the…