Tootfinder

https://gotfunnymerch.com/products/css-constant-state-of-suffering-unisex-t-shirt

CSS (Constant State of Suffering) Unisex t-shirt

This https://arxiv.org/abs/2206.11256 has been replaced.
link: https://scholar.google.com/scholar?q=a

Notes On An Approach To Apery's Constant
The Basel problem, solved by Leonhard Euler in 1734, asks to resolve $ζ(2)$, the sum of the reciprocals of the squares of the natural numbers, i.e. the sum of the infinite series: \begin{equation} \sum_{i=1}^{\infty}\frac{1}{n^2}=\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\ldots\notag \end{equation} The same question is posed regarding the summation of the reciprocals of the cubes of the natural numbers, $ζ(3)$. The resulting constant is known as Apery's constant. A YouTube channel, 3BlueBrown…

The Tip of the Red Giant Branch Distance Ladder and the Hubble Constant
Siyang Li, Rachael L. Beaton
https://arxiv.org/abs/2403.17048 https://

The Tip of the Red Giant Branch Distance Ladder and the Hubble Constant
While the tip of the red giant branch (TRGB) has been used as a distance indicator since the early 1990's, its application to measure the Hubble Constant as a primary distance indicator occurred only recently. The TRGB is also currently at an interesting crossroads as results from the James Webb Space Telescope (JWST) are beginning to emerge. In this chapter, we provide a review of the TRGB as it is used to measure the Hubble constant. First, we provide an essential review of the physical and o…

Are there any jobs that don’t require a constant internet connection? I want to apply for any open Cave Hermit positions please.

Scalable Lipschitz Estimation for CNNs
Yusuf Sulehman, Tingting Mu
https://arxiv.org/abs/2403.18613 https://arxiv.org/pdf/2403.18613<…

Scalable Lipschitz Estimation for CNNs
Estimating the Lipschitz constant of deep neural networks is of growing interest as it is useful for informing on generalisability and adversarial robustness. Convolutional neural networks (CNNs) in particular, underpin much of the recent success in computer vision related applications. However, although existing methods for estimating the Lipschitz constant can be tight, they have limited scalability when applied to CNNs. To tackle this, we propose a novel method to accelerate Lipschitz consta…

Penny's been with me since May 2006. She stayed with me when I was sleeping rough. She's been my most constant and most loyal companion for eighteen years. She's now unable to walk, unable to keep herself clean, in pain and incontinent. I am going to take her to the vets today to be put down. It's a hard decision.

FlipHash: A Constant-Time Consistent Range-Hashing Algorithm
Charles Masson, Homin K. Lee
https://arxiv.org/abs/2402.17549 https://ar…

FlipHash: A Constant-Time Consistent Range-Hashing Algorithm
Consistent range-hashing is a technique used in distributed systems, either directly or as a subroutine for consistent hashing, commonly to realize an even and stable data distribution over a variable number of resources. We introduce FlipHash, a consistent range-hashing algorithm with constant time complexity and low memory requirements. Like Jump Consistent Hash, FlipHash is intended for applications where resources can be indexed sequentially. Under this condition, it ensures that keys are h…

"Constant bad news doing your head in? Why not read about the fish doorbell instead" https://www.theguardian.com/commentisfree/picture/2024/mar/22/constant-bad-news-doing-your-head-…

Constant-selection evolutionary dynamics on weighted networks
Jnanajyoti Bhaumik, Naoki Masuda
https://arxiv.org/abs/2403.17208 https://

Constant-selection evolutionary dynamics on weighted networks
The population structure often impacts evolutionary dynamics. In constant-selection evolutionary dynamics between two types, amplifiers of selection are networks that promote the fitter mutant to take over the entire population, and suppressors of selection do the opposite. It has been shown that most undirected and unweighted networks are amplifiers of selection under a common updating rule and initial condition. Here, we extensively investigate how edge weights influence selection on undirect…

RIP Daniel #Kahneman. Thoughts from last year:
"...*Thinking, Fast and Slow* was a life-changer for me. As soon as I read it in 2013, I urged colleagues to read it, even convening a book club."
"I can *feel* the move in my mind from the constant important work of System 1 to the deliberative work of System 2. Knowing how often my intuition has been a hindrance to my understanding of the world, I welcome the feeling of going to the place where the adult is in charge."
https://sfmatheson.blogspot.com/2023/08/scientific-thinking-as-antidote-to.html

Creating spanning trees in Waiter-Client games
Grzegorz Adamski, Sylwia Antoniuk, Ma{\l}gorzata Bednarska-Bzd\k{e}ga, Dennis Clemens, Fabian Hamann, Yannick Mogge
https://arxiv.org/abs/2403.18534

Creating spanning trees in Waiter-Client games
For a positive integer $n$ and a tree $T_n$ on $n$ vertices, we consider an unbiased Waiter-Client game $\textrm{WC}(n,T_n)$ played on the complete graph~$K_n$, in which Waiter's goal is to force Client to build a copy of $T_n$. We prove that for every constant $c<1/3$, if $Δ(T_n)\le cn$ and $n$ is sufficiently large, then Waiter has a winning strategy in $\textrm{WC}(n,T_n)$. On the other hand, we show that there exist a positive constant $c'<1/2$ and a family of trees $T_{n}$ with $Δ(T_n)\l…

This https://arxiv.org/abs/2310.02516 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Can negative bare couplings make sense? The $\vecϕ^4$ theory at large $N$
Scalar $λϕ^4$ theory in 3+1D, for a positive coupling constant $λ>0$, is known to have no interacting continuum limit, which is referred to as quantum triviality. However, it has been recently argued that the theory in 3+1D with an $N$-component scalar $\vecϕ$ and a $(\vecϕ\cdot\vecϕ)^{\,2}=\vecϕ^{\,4}$ interaction term does have an interacting continuum limit at large $N$. It has been suggested that this continuum limit has a negative (bare) coupling constant and exhibits asymptotic fre…

This https://arxiv.org/abs/2206.11256 has been replaced.
link: https://scholar.google.com/scholar?q=a

Notes On An Approach To Apery's Constant
The Basel problem, solved by Leonhard Euler in 1734, asks to resolve $ζ(2)$, the sum of the reciprocals of the squares of the natural numbers, i.e. the sum of the infinite series: \begin{equation} \sum_{i=1}^{\infty}\frac{1}{n^2}=\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\ldots\notag \end{equation} The same question is posed regarding the summation of the reciprocals of the cubes of the natural numbers, $ζ(3)$. The resulting constant is known as Apery's constant. A YouTube channel, 3BlueBrown…

This https://arxiv.org/abs/2402.13998 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Small values and forbidden values for the Fourier antidiagonal constant of a finite group
For a finite group $G$, let ${\rm AD}(G)$ denote the Fourier norm of the antidiagonal in $G\times G$. It was shown recently by the author (IMRN, 2023) that ${\rm AD}(G)$ coincides with the amenability constant of the Fourier algebra of $G$, and is equal to the normalized sum of the cubes of character degrees of $G$. Motivated by a gap result for amenability constants due to Johnson (JLMS, 1994), we determine exactly which numbers in the interval $[1,2]$ arise as values of ${\rm AD}(G)$. As a …

This https://arxiv.org/abs/2211.07900 has been replaced.
link: https://scholar.google.com/scholar?q=a

Parameterized Inapproximability of the Minimum Distance Problem over all Fields and the Shortest Vector Problem in all $\ell_p$ Norms
We prove that the Minimum Distance Problem (MDP) on linear codes over any fixed finite field and parameterized by the input distance bound is W[1]-hard to approximate within any constant factor. We also prove analogous results for the parameterized Shortest Vector Problem (SVP) on integer lattices. Specifically, we prove that SVP in the $\ell_p$ norm is W[1]-hard to approximate within any constant factor for any fixed $p >1$ and W[1]-hard to approximate within a factor approaching $2$ for $p=1$…

Constant bad news doing your head in? Why not read about the fish doorbell instead | First Dog on the Moon https://www.theguardian.com/commentisfree/picture/2024/mar/22/cons…

A Path Towards Legal Autonomy: An interoperable and explainable approach to extracting, transforming, loading and computing legal information using large language models, expert systems and Bayesian networks
Axel Constant, Hannes Westermann, Bryan Wilson, Alex Kiefer, Ines Hipolito, Sylvain Pronovost, Steven Swanson, Mahault Albarracin, Maxwell J. D. Ramstead

A Path Towards Legal Autonomy: An interoperable and explainable approach to extracting, transforming, loading and computing legal information using large language models, expert systems and Bayesian networks
Legal autonomy - the lawful activity of artificial intelligence agents - can be achieved in one of two ways. It can be achieved either by imposing constraints on AI actors such as developers, deployers and users, and on AI resources such as data, or by imposing constraints on the range and scope of the impact that AI agents can have on the environment. The latter approach involves encoding extant rules concerning AI driven devices into the software of AI agents controlling those devices (e.g., …

Counting Stars is Constant-Degree Optimal For Detecting Any Planted Subgraph
Xifan Yu, Ilias Zadik, Peiyuan Zhang
https://arxiv.org/abs/2403.17766 https://…

Counting Stars is Constant-Degree Optimal For Detecting Any Planted Subgraph
We study the computational limits of the following general hypothesis testing problem. Let H=H_n be an \emph{arbitrary} undirected graph on n vertices. We study the detection task between a ``null'' Erdős-Rényi random graph G(n,p) and a ``planted'' random graph which is the union of G(n,p) together with a random copy of H=H_n. Our notion of planted model is a generalization of a plethora of recently studied models initiated with the study of the planted clique model (Jerrum 1992), which corre…

Tractable Conjunctive Queries over Static and Dynamic Relations
Ahmet Kara, Zheng Luo, Milos Nikolic, Dan Olteanu, Haozhe Zhang
https://arxiv.org/abs/2404.16224

Tractable Conjunctive Queries over Static and Dynamic Relations
We investigate the evaluation of conjunctive queries over static and dynamic relations. While static relations are given as input and do not change, dynamic relations are subject to inserts and deletes. We characterise syntactically three classes of queries that admit constant update time and constant enumeration delay. We call such queries tractable. Depending on the class, the preprocessing time is linear, polynomial, or exponential (under data complexity, so the query size is constant). …

This https://arxiv.org/abs/2402.10656 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Free-discontinuity problems generated by higher-order singular perturbations
We carry on an asymptotic analysis for a class of non-convex integral functionals with a singular perturbation by derivatives of order $k\ge 2$. In the case $k=2$ these functional have been already proved to converge to a free-discontinuity functional whose jump part energy density is a constant $m_2$ times the square root of the jump size by Alicandro et al.~and by Bouchitté et al. We show that the $k$-th order perturbation gives a constant, $m_k$, times the $k$-th root of the jump size as th…

This https://arxiv.org/abs/2404.05297 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

Automated Attack Synthesis for Constant Product Market Makers
Decentralized Finance enables many novel applications that were impossible in traditional finances. However, it also introduces new types of vulnerabilities, such as composability bugs. The composability bugs refer to issues that lead to erroneous behaviors when multiple smart contracts operate together. One typical example of composability bugs is those between token contracts and Constant Product Market Makers (CPMM), the most widely used model for Decentralized Exchanges. Since 2022, 23 expl…

This https://arxiv.org/abs/2301.00995 has been replaced.
link: https://scholar.google.com/scholar?q=a

Unconditional Quantum Advantage for Sampling with Shallow Circuits
Recent work by Bravyi, Gosset, and Koenig showed that there exists a search problem that a constant-depth quantum circuit can solve, but that any constant-depth classical circuit with bounded fan-in cannot. They also pose the question: Can we achieve a similar proof of separation for an input-independent sampling task? In this paper, we show that the answer to this question is yes when the number of random input bits given to the classical circuit is bounded. We introduce a distribution $D_{n…

The user has been working in cybersecurity for seven years but has grown dissatisfied due to factors like lack of creation, constant budget scrutiny, dismissal of security risks, isolation, and constant firefighting. They are considering moving to another industry and inquire if skills from cybersecurity are transferable. https://reddit.com/r/cybersecurity/comments/1cd0nij/

Oxygen Reduction Reaction on Single-Atom Catalysts From Density Functional Theory Calculations Combined with an Implicit Solvation Model
Azim Fitri Zainul Abidin, Ikutaro Hamada
https://arxiv.org/abs/2402.17261

Oxygen Reduction Reaction on Single-Atom Catalysts From Density Functional Theory Calculations Combined with an Implicit Solvation Model
We present a density functional theory study of the oxygen reduction reaction (ORR) on a single atom catalyst embedded in graphene, namely, TM-N$_{4}$-C (TM = Fe and Co), using the effective screening medium method combined with the reference interaction site model (ESM-RISM). It was found that Fe-N$_{4}$-C and Co-N$_{4}$-C show comparable ORR activities from the constant electrode potential simulations, in contrast to the results obtained using the constant (neutral) charge simulation, in whic…

This https://arxiv.org/abs/2401.13941 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

AC-Driven Series Elastic Electrohydraulic Actuator for Stable and Smooth Displacement Output
Soft electrohydraulic actuators known as HASEL actuators have attracted widespread research interest due to their outstanding dynamic performance and high output power. However, the displacement of electrohydraulic actuators usually declines with time under constant DC voltage, which hampers its prospective application. A mathematical model is firstly established to not only explain the decrease in displacement under DC voltage but also predict the relatively stable displacement with oscillatio…

Neural Network-Based Piecewise Survival Models
Olov Holmer, Erik Frisk, Mattias Krysander
https://arxiv.org/abs/2403.18664 https://ar…

Neural Network-Based Piecewise Survival Models
In this paper, a family of neural network-based survival models is presented. The models are specified based on piecewise definitions of the hazard function and the density function on a partitioning of the time; both constant and linear piecewise definitions are presented, resulting in a family of four models. The models can be seen as an extension of the commonly used discrete-time and piecewise exponential models and thereby add flexibility to this set of standard models. Using a simulated d…

Weighted Ehrhart theory via mixed Hodge modules on toric varieties
Laurentiu Maxim, J\"org Sch\"urmann
https://arxiv.org/abs/2403.17747 https://<…

Weighted Ehrhart theory via mixed Hodge modules on toric varieties
We give a cohomological and geometrical interpretation for the weighted Ehrhart theory of a full-dimensional lattice polytope $P$, with Laurent polynomial weights of geometric origin. For this purpose, we calculate the motivic Chern and Hirzebruch characteristic classes of a mixed Hodge module complex $\mathcal{M}$ whose underlying cohomology sheaves are constant on the $\mathbb{T}$-orbits of the toric variety $X_P$ associated to $P$. Besides motivic coefficients, this also applies to the inter…

This https://arxiv.org/abs/2303.12046 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Jump of the Saturation Number in Random Graphs?
For graphs $G$ and $F$, the saturation number $\textit{sat}(G,F)$ is the minimum number of edges in an inclusion-maximal $F$-free subgraph of $G$. In 2017, Korándi and Sudakov initiated the study of saturation in random graphs. They showed that for constant $p\in (0,1)$, whp $\textit{sat}\left(G(n,p),K_s\right)=\left(1+o(1)\right)n\log_{\frac{1}{1-p}}n$. We show that for every graph $F$ and every constant $p\in (0,1)$, whp $\textit{sat}\left(G(n,p), F\right)=O(n\ln n)$. Furthermore, if every…

This https://arxiv.org/abs/2401.04175 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

A Gravitational Waveform Model for Detecting Accelerating Inspiraling Binaries
We present an analytic frequency-domain gravitational waveform model for an inspiraling binary whose center-of-mass undergoes a small acceleration, assumed to be constant during the detection, such as when it orbits a distant tertiary mass. The center-of-mass acceleration along the line of sight is incorporated as a new parameter that perturbs the standard TaylorF2 model. We calculate the wave phase to 3rd post-Newtonian order and first order in the acceleration. It is shown that acceleration m…

This https://arxiv.org/abs/2309.06900 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Fast Exact Algorithm for Neutrino Oscillation in Constant Matter Density
A recently published method for solving the neutrino evolution equation with constant matter density is further refined and used to lay out an exact algorithm for computing oscillation probabilities, which is moderately faster than previous methods when looping through neutrinos of different energies. In particular, the three examples of $\overset{\scriptscriptstyle{(-)}}ν_e$ survival, $\overset{\scriptscriptstyle{(-)}}ν_μ$ survival and $\overset{\scriptscriptstyle{(-)}}ν_e$ appearance prob…

This https://arxiv.org/abs/2310.02516 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Can negative bare couplings make sense? The $\vecϕ^4$ theory at large $N$
Scalar $λϕ^4$ theory in 3+1D, for a positive coupling constant $λ>0$, is known to have no interacting continuum limit, which is referred to as quantum triviality. However, it has been recently argued that the theory in 3+1D with an $N$-component scalar $\vecϕ$ and a $(\vecϕ\cdot\vecϕ)^{\,2}=\vecϕ^{\,4}$ interaction term does have an interacting continuum limit at large $N$. It has been suggested that this continuum limit has a negative (bare) coupling constant and exhibits asymptotic fre…

This https://arxiv.org/abs/2307.13058 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Effective mass of the Fröhlich Polaron and the Landau-Pekar-Spohn conjecture
We prove that there is a constant $\overline C\in (0,\infty)$ such that the effective mass $m(α)$ of the Fröhlich Polaron satisfies $m(α) \geq \overline C α^4$, which is sharp according to a long-standing prediction of Landau-Pekar [19] from 1948 and of Spohn [35] from 1987. The method of proof, which demonstrates how the $α^4$ divergence rate of $m(α)$ appears in a natural way, is based on analyzing the Gaussian representation of the Polaron measure and that of the associated tilted Pois…

Covert Communication Over Additive-Noise Channels
C\'ecile Bouette, Laura Luzzi, Ligong Wang
https://arxiv.org/abs/2402.16475 https://

Covert Communication Over Additive-Noise Channels
We study the fundamental limits of covert communications over general memoryless additive-noise channels. Under mild integrability assumptions, we find a general upper bound on the square-root scaling constant, which only involves the variance of the logarithm of the probability density function of the noise. Furthermore, we show that under some additional assumptions, this upper bound is tight. We also provide upper bounds on the length of the secret key required to achieve the optimal scaling.

This https://arxiv.org/abs/2402.12970 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

See Further Than CFAR: a Data-Driven Radar Detector Trained by Lidar
In this paper, we address the limitations of traditional constant false alarm rate (CFAR) target detectors in automotive radars, particularly in complex urban environments with multiple objects that appear as extended targets. We propose a data-driven radar target detector exploiting a highly efficient 2D CNN backbone inspired by the computer vision domain. Our approach is distinguished by a unique cross sensor supervision pipeline, enabling it to learn exclusively from unlabeled synchronized r…

Daily Inspiration: "World class innovators focus on long term wins through constant incremental improvements" - Futurist Jim Carroll
Want something boring? This is it! It's the BIG impact of the new SMALL incrementalism!
Huh what?
It involves thinking like this: “How can we continue to evolve our solutions in small ways that provide regular, continuous improvement for our customers?” And a realization that success can come from pursuing a mindset that success …

Daily Inspiration: Mastering Innovation – “World class innovators focus on long term wins through constant incremental improvements”

Path Planning for a Cooperative Navigation Aid Vehicle to Assist Multiple Agents Intermittently
Artur Wolek
https://arxiv.org/abs/2402.17071 https://

Path Planning for a Cooperative Navigation Aid Vehicle to Assist Multiple Agents Intermittently
This paper considers the problem of planning a path for a single underwater cooperative navigation aid (CNA) vehicle to intermittently aid a set of N agents to minimize average navigation uncertainty. Both the CNA and agents are modeled as constant-velocity vehicles. The agents traverse along known nominal trajectories and the CNA plans a path to sequentially intercept them. Navigation aiding is modeled by a scalar discrete time Kalman filter. During path planning, the CNA considers surfacing t…

The burning desire to buy guns and shoot at brown people and drive big trucks and watch stupid TV shows and scream at football games and eat greasy garbage and tranquilize ourselves into constant oblivion
—this is America, as much or more than anything written in the Bill of Rights is.
It has always been thus.
Donald Trump’s superpower is not his money or fame but the fact that he is the human embodiment of Stupid America.
He does not have to try to channel this; it …

Stupid Power
Deluding ourselves about America's delusions.

Coupling-Constant Averaged Exchange-Correlation Hole for He, Li, Be, N, Ne Atoms from CCSD
Lin Hou, Tom J. P. Irons, Yanyong Wang, James W. Furness, Andrew M. Wibowo-Teale, Jianwei Sun
https://arxiv.org/abs/2403.17424

Coupling-Constant Averaged Exchange-Correlation Hole for He, Li, Be, N, Ne Atoms from CCSD
Accurate approximation of the exchange-correlation (XC) energy in density functional theory (DFT) calculations is essential for reliably modelling electronic systems. Many such approximations are developed from models of the XC hole; accurate reference XC holes for real electronic systems are crucial for evaluating the accuracy of these models however the availability of reliable reference data is limited to a few systems. In this study, we employ the Lieb optimization with a coupled cluster si…

This https://arxiv.org/abs/2402.12832 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDS_…

Nearly Optimal Fault Tolerant Distance Oracle
We present an $f$-fault tolerant distance oracle for an undirected weighted graph where each edge has an integral weight from $[1 \dots W]$. Given a set $F$ of $f$ edges, as well as a source node $s$ and a destination node $t$, our oracle returns the \emph{shortest path} from $s$ to $t$ avoiding $F$ in $O((cf \log (nW))^{O(f^2)})$ time, where $c > 1$ is a constant. The space complexity of our oracle is $O(f^4n^2\log^2 (nW))$. For a constant $f$, our oracle is nearly optimal both in terms of spa…

This https://arxiv.org/abs/2309.17295 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

covXtreme : MATLAB software for non-stationary penalised piecewise constant marginal and conditional extreme value models
The covXtreme software provides functionality for estimation of marginal and conditional extreme value models, non-stationary with respect to covariates, and environmental design contours. Generalised Pareto (GP) marginal models of peaks over threshold are estimated, using a piecewise-constant representation for the variation of GP threshold and scale parameters on the (potentially multidimensional) covariate domain of interest. The conditional variation of one or more associated variates, give…

Calibration of detector time constant with a thermal source for the POLARBEAR-2A CMB polarization experiment
S. Takatori, M. Hasegawa, M. Hazumi, D. Kaneko, N. Katayama, A. T. Lee, S. Takakura, T. Tomaru, T. Adkins, D. Barron, Y. Chinone, K. T. Crowley, T. de Haan, T. Elleflot, N. Farias, C. Feng, T. Fujino, J. C. Groh, H. Hirose, F. Matsuda, H. Nishino, Y. Segawa, P. Siritanasak, A. Suzuki, K. Yamada

Calibration of detector time constant with a thermal source for the POLARBEAR-2A CMB polarization experiment
The Simons Array (SA) project is a ground-based Cosmic Microwave Background (CMB) polarization experiment. The SA observes the sky using three telescopes, and POLARBEAR-2A (PB-2A) is the receiver system on the first telescope. For the ground-based experiment, atmospheric fluctuation is the primary noise source that could cause polarization leakage. In the PB-2A receiver system, a continuously rotating half-wave plate (HWP) is used to mitigate the polarization leakage. However, due to the rapid …

Grid Peeling of Parabolas
G\"unter Rote, Moritz R\"uber, Morteza Saghafian
https://arxiv.org/abs/2402.15787 https://arxiv.o…

Grid Peeling of Parabolas
Grid peeling is the process of repeatedly removing the convex hull vertices of the grid-points that lie inside a given convex curve. It has been conjectured that, for a more and more refined grid, grid peeling converges to a continuous process, the affine curve-shortening flow, which deforms the curve based on the curvature. We prove this conjecture for one class of curves, parabolas with a vertical axis, and we determine the value of the constant factor in the formula that relates the two proc…

Further Investigations on Weighted Value Sharing and Uniqueness of Meromorphic Functions
Sudip Saha, Amit Kumar Pal, Soumon Roy
https://arxiv.org/abs/2403.17033

Further Investigations on Weighted Value Sharing and Uniqueness of Meromorphic Functions
In this short manuscript, we will put some light on the different outcomes when two non-constant meromorphic functions share a value with prescribed weight two.

This https://arxiv.org/abs/1907.10130 has been replaced.
link: https://scholar.google.com/scholar?q=a

Lensing convergence and anisotropic dark energy in galaxy redshift surveys
Analyses of upcoming galaxy surveys will require careful modelling of relevant observables such as the power spectrum of galaxy counts in harmonic space $C_\ell(z,z')$. We investigate the impact of disregarding relevant relativistic effects by considering a model of dark energy including constant sound speed $c_{\rm eff}^2$, constant equation of state $w$, and anisotropic stress sourced by matter perturbations $π$. Cosmological constraints were computed using cosmic microwave background anisot…

I'm in a constant state of "What shall we have for dinner tonight?"
What has happened to me!?

The equivalence of smooth and synthetic notions of timelike sectional curvature bounds
Tobias Beran, Michael Kunzinger, Argam Ohanyan, Felix Rott
https://arxiv.org/abs/2403.18077 …

The equivalence of smooth and synthetic notions of timelike sectional curvature bounds
Timelike sectional curvature bounds play an important role in spacetime geometry, both for the understanding of classical smooth spacetimes and for the study of Lorentzian (pre-)length spaces introduced in \cite{kunzinger2018lorentzian}. In the smooth setting, a bound on the sectional curvature of timelike planes can be formulated via the Riemann curvature tensor. In the synthetic setting, bounds are formulated by comparing various geometric configurations to the corresponding ones in constant …

This https://arxiv.org/abs/2306.04412 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Width of convex bodies in hyperbolic space
For every hyperplane $H$ supporting a convex body $C$ in the hyperbolic space $\mathbb{H}^d$ we define the width of $C$ determined by $H$ as the distance between $H$ and a most distant ultraparallel hyperplane supporting $C$. We prove that if $\width_H (C) = Δ(C)$ and if there exists a unique most distant point $j \in C$ from $H$, then the projection of $j$ onto $H$ belongs to $H \cap C$. We verify that the diameter of $C$ equals to the maximum width of $C$. We define bodies of constant width …

This https://arxiv.org/abs/2309.14582 has been replaced.
initial toot: https://mastoxiv.page/@…

Quantum Counterpart of Equipartition Theorem in Quadratic Systems
Equipartition theorem is a fundamental law of classical statistical physics, which states that every degree of freedom contributes $k_{B}T/2$ to the energy, where $T$ is the temperature and $k_{B}$ is the Boltzmann constant. Recent studies have revealed the existence of quantum version of the equipartition theorem. In the present work, we focus on how to obtain the quantum counterpart of generalized equipartition theorem for arbitrary quadratic systems where the multimode Brownian ocillators in…

@… if you’re already on google servers, the thing should be a constant buzz 😅

"Basing your opinion on factional loyalty and vibes is fine for a blogger or a pundit, but it does not make for a sound management strategy."
I beg to differ, Baldur Bjarnason. It's not fine if you're a blogger or a pundit, either. Seeking to profit from expediting the extinction of life on the planet ought to be treated as a crime of the highest order.
#ClimateCatastrophe

Facing reality, whether it's about Apple or the EU, is a core requirement for good management
You can’t be a good manager or executive, in any industry, if you operate in constant denial of the facts on the ground. Arguing from ideology or beliefs that aren’t grounded in observation, measurement, or study, is the hallmark of a politician or media personality, not a manager responsible for other people’s jobs.

Spectre, a gift which keeps on giving.
https://gofetch.fail/

Frozen Gaussian approximation for the fractional Schr\"odinger equation
Lihui Chai, Hengzhun Chen, Xu Yang
https://arxiv.org/abs/2403.18287 https://…

Frozen Gaussian approximation for the fractional Schrödinger equation
We develop the frozen Gaussian approximation (FGA) for the fractional Schrödinger equation in the semi-classical regime, where the solution is highly oscillatory when the scaled Planck constant $\varepsilon$ is small. This method approximates the solution to the Schrödinger equation by an integral representation based on asymptotic analysis and provides a highly efficient computational method for high-frequency wave function evolution. In particular, we revise the standard FGA formula to addr…

Liquid-Graph Time-Constant Network for Multi-Agent Systems Control
Antonio Marino (UR, CNRS), Claudio Pacchierotti (RAINBOW), Paolo Robuffo Giordano (RAINBOW)
https://arxiv.org/abs/2404.13982

Liquid-Graph Time-Constant Network for Multi-Agent Systems Control
In this paper, we propose the Liquid-Graph Time-constant (LGTC) network, a continuous graph neural network(GNN) model for control of multi-agent systems based on therecent Liquid Time Constant (LTC) network. We analyse itsstability leveraging contraction analysis and propose a closed-form model that preserves the model contraction rate and doesnot require solving an ODE at each iteration. Compared todiscrete models like Graph Gated Neural Networks (GGNNs),the higher expressivity of the proposed…

First Hitting Times on a Quantum Computer: Topological Effects and Dark States
Qingyuan Wang, Silin Ren, Ruoyu Yin, Klaus Ziegler, Eli Barkai, Sabine Tornow
https://arxiv.org/abs/2402.15843

First Hitting Times on a Quantum Computer: Topological Effects and Dark States
We investigate a quantum walk on a ring represented by a directed triangle graph with complex edge weights and monitored at a constant rate until the quantum walker is detected. To this end, the first hitting time statistics is recorded using unitary dynamics interspersed stroboscopically by measurements, which is implemented on IBM quantum computers with a midcircuit readout option. Unlike classical hitting times, the statistical aspect of the problem depends on the way we construct the measur…

The user has been working in cybersecurity for seven years but has grown dissatisfied due to factors like lack of creation, constant budget scrutiny, dismissal of security risks, isolation, and constant firefighting. They are considering moving to another industry and inquire if skills from cybersecurity are transferable. https://reddit.com/r/cybersecurity/comments/1cd0nij/

This https://arxiv.org/abs/2301.02505 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

Nested Dirichlet models for unsupervised attack pattern detection in honeypot data
Cyber-systems are under near-constant threat from intrusion attempts. Attacks types vary, but each attempt typically has a specific underlying intent, and the perpetrators are typically groups of individuals with similar objectives. Clustering attacks appearing to share a common intent is very valuable to threat-hunting experts. This article explores Dirichlet distribution topic models for clustering terminal session commands collected from honeypots, which are special network hosts designed to…

Weighted Ehrhart theory via mixed Hodge modules on toric varieties
Laurentiu Maxim, J\"org Sch\"urmann
https://arxiv.org/abs/2403.17747 https://<…

Weighted Ehrhart theory via mixed Hodge modules on toric varieties
We give a cohomological and geometrical interpretation for the weighted Ehrhart theory of a full-dimensional lattice polytope $P$, with Laurent polynomial weights of geometric origin. For this purpose, we calculate the motivic Chern and Hirzebruch characteristic classes of a mixed Hodge module complex $\mathcal{M}$ whose underlying cohomology sheaves are constant on the $\mathbb{T}$-orbits of the toric variety $X_P$ associated to $P$. Besides motivic coefficients, this also applies to the inter…

This https://arxiv.org/abs/2402.12832 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDS_…

Nearly Optimal Fault Tolerant Distance Oracle
We present an $f$-fault tolerant distance oracle for an undirected weighted graph where each edge has an integral weight from $[1 \dots W]$. Given a set $F$ of $f$ edges, as well as a source node $s$ and a destination node $t$, our oracle returns the \emph{shortest path} from $s$ to $t$ avoiding $F$ in $O((cf \log (nW))^{O(f^2)})$ time, where $c > 1$ is a constant. The space complexity of our oracle is $O(f^4n^2\log^2 (nW))$. For a constant $f$, our oracle is nearly optimal both in terms of spa…

Static Blackhole with Cosmological Influence: Whittaker Solutions
Santanu Tripathy, K Rajesh Nayak
https://arxiv.org/abs/2404.16146 https://

Static Blackhole with Cosmological Influence: Whittaker Solutions
In this article, we investigate the impact of cosmological parameters on black holes using an exact solution to Einstein's equations that satisfies the Whittaker equation of state. We examine a spherically symmetric black hole in the background of a static Einstein Universe with a perfect fluid source with the cosmological constant. This solution is characterized by two independent parameters, namely the size of the universe~($R$) and the cosmological constant~(Lambda), representing the cosmolo…

This https://arxiv.org/abs/2401.07563 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Signatures of Solar Chameleons in the Earth's Magnetic Field
Chameleon dark energy models are a popular alternative to the standard cosmological constant model. These models consist of a new light degree of freedom, called chameleon, with a density dependent mass and a non-trivial coupling to both matter and photons. Owing to these couplings, chameleons can be produced inside the sun. However due to their density dependent mass, the chameleons produced in the solar core are screened and cannot escape whereas those produced outside the solar core, such as…

Mass Concentration of Two-Spinless Fermi Systems with Attractive Interactions
Yujin Guo, Yan Li
https://arxiv.org/abs/2403.17591 https://

Mass Concentration of Two-Spinless Fermi Systems with Attractive Interactions
We study the two-spinless mass-critical Fermi systems with attractive interactions and trapping potentials. We prove that ground states of the system exist, if and only if the strength $a$ of attractive interactions satisfies $0

On the connection between Noise-Contrastive Estimation and Contrastive Divergence
Amanda Olmin, Jakob Lindqvist, Lennart Svensson, Fredrik Lindsten
https://arxiv.org/abs/2402.16688

On the connection between Noise-Contrastive Estimation and Contrastive Divergence
Noise-contrastive estimation (NCE) is a popular method for estimating unnormalised probabilistic models, such as energy-based models, which are effective for modelling complex data distributions. Unlike classical maximum likelihood (ML) estimation that relies on importance sampling (resulting in ML-IS) or MCMC (resulting in contrastive divergence, CD), NCE uses a proxy criterion to avoid the need for evaluating an often intractable normalisation constant. Despite apparent conceptual differenc…

A dark standard siren measurement of the Hubble constant following LIGO/Virgo/KAGRA O4a
C. R. Bom, V. Alfradique, A. Palmese, G. Teixeira, L. Santana-Silva, A. Santos, P. Darc
https://arxiv.org/abs/2404.16092

A dark standard siren measurement of the Hubble constant following LIGO/Virgo/KAGRA O4a
We present a new constraint on the Hubble constant ($H_0$) from the standard dark siren method using a sample of $5$ well-covered gravitational wave (GW) alerts reported during the first part of the fourth LIGO/Virgo/KAGRA observing runs in combination with standard dark sirens from the first three runs. Our methodology relies on the galaxy catalog method alone. We use the full probability density estimation of photometric redshifts derived by a deep learning method using the DESI Legacy Survey…

This https://arxiv.org/abs/1711.09428 has been replaced.
link: https://scholar.google.com/scholar?q=a

Sparse juntas on the biased hypercube
We give a structure theorem for Boolean functions on the $p$-biased hypercube which are $ε$-close to degree~$d$ in $L_2$, showing that they are close to \emph{sparse juntas}. Our structure theorem implies that such functions are $O(ε^{C_d} + p)$-close to constant functions. We pinpoint the exact value of the constant $C_d$. We also give an analogous result for monotone Boolean functions on the biased hypercube which are $ε$-close to degree~$d$ in $L_2$, showing that they are close to \emph…

This https://arxiv.org/abs/2311.02723 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A necessary and sufficient condition for double coset lumping of Markov chains on groups with an application to the random to top shuffle
Let $Q$ be a probability measure on a finite group $G$, and let $H$ be a subgroup of $G$. We show that a necessary and sufficient condition for the random walk driven by $Q$ on $G$ to induce a Markov chain on the double coset space $H\backslash G/H$, is that $Q(gH)$ is constant as $g$ ranges over any double coset of $H$ in $G$. We obtain this result as a corollary of a more general theorem on the double cosets $H \backslash G / K$ for $K$ an arbitrary subgroup of $G$. As an application we study…

First Hitting Times on a Quantum Computer: Topological Effects and Dark States
Qingyuan Wang, Silin Ren, Ruoyu Yin, Klaus Ziegler, Eli Barkai, Sabine Tornow
https://arxiv.org/abs/2402.15843

First Hitting Times on a Quantum Computer: Topological Effects and Dark States
We investigate a quantum walk on a ring represented by a directed triangle graph with complex edge weights and monitored at a constant rate until the quantum walker is detected. To this end, the first hitting time statistics is recorded using unitary dynamics interspersed stroboscopically by measurements, which is implemented on IBM quantum computers with a midcircuit readout option. Unlike classical hitting times, the statistical aspect of the problem depends on the way we construct the measur…

This https://arxiv.org/abs/2402.03248 has been replaced.
link: https://scholar.google.com/scholar?q=a

On a question of Gary G. Gundersen concerning meromorphic functions sharing three distinct values IM and a fourth value CM
In 1992, Gundersen (Complex Var. Elliptic Equ.20 (1992), no. 1-4, 99-106.) proposed the following famous open question: if two non-constant meromorphic functions share three values IM and share a fourth value CM, then do the functions necessarily share all four values CM? The open question is a long-standing question in the studies of the Nevanlinna$'$s value distribution theory of meromorphic functions, and has not been completely resolved by now. In this paper, we prove that if two distinct n…

This https://arxiv.org/abs/2212.05697 has been replaced.
link: https://scholar.google.com/scholar?q=a

Aharoni's rainbow cycle conjecture holds up to an additive constant
In 2017, Aharoni proposed the following generalization of the Caccetta-Häggkvist conjecture: if $G$ is a simple $n$-vertex edge-colored graph with $n$ color classes of size at least $r$, then $G$ contains a rainbow cycle of length at most $\lceil n/r \rceil$. In this paper, we prove that, for fixed $r$, Aharoni's conjecture holds up to an additive constant. Specifically, we show that for each fixed $r \geq 1$, there exists a constant $c_r$ such that if $G$ is a simple $n$-vertex edge-colored…

Extremal affine surface areas in a functional setting
Stephanie Egler, Elisabeth M. Werner
https://arxiv.org/abs/2402.16130 https://a…

Extremal affine surface areas in a functional setting
We introduce extremal affine surface areas in a functional setting. We show their main properties. Among them are linear invariance, isoperimetric inequalities and monotonicity properties. We establish a new duality formula, which shows that the maximal (resp. minimal) inner affine surface area of an $s$-concave function on $\mathbb{R}^n$ equals the maximal (resp. minimal) outer affine surface area of its Legendre polar. We estimate the ``size" of these quantities: up to a constant depending on…

Pair creation in a space with spin noncommutativity of coordinates
B. Hamil, B. C. L\"utf\"uo\u{g}lu
https://arxiv.org/abs/2404.16230 https://

Pair creation in a space with spin noncommutativity of coordinates
We study the Schwinger pair creation process for Dirac fermions in the presence of a Volkov plane wave and a constant external electric field by applying spin non-commutativity of coordinates. Using the Schwinger proper time method, the probability of pair creation from vacuum is calculated precisely and analytically. In the case of the Volkov plane wave, it is shown that the probability is zero. However, for a constant electric field, the spin noncommutativity of the coordinates contributes to…

Daily Inspiration: "World class innovators focus on skills partnerships as a key success factor!" - Futurist Jim Carroll
 
Organizations used to hire all the people they needed to do all the things that needed to be done. In a world of massive knowledge acceleration and specialization, this no longer makes sense - and indeed, is impossible. World-class innovators, as a result, pursue a strategy in which their ability to quickly form external knowledge partners will define…

Global solution of 2D hyperbolic liquid crystal system for small initial data
Xuecheng Wang
https://arxiv.org/abs/2403.18385 https://…

Global solution of 2D hyperbolic liquid crystal system for small initial data
We prove the global stability of small perturbation near the the constant equilibrium for the two dimensional simplified Ericksen-Leslie's hyperbolic system for incompressible liquid crystal model, where the direction function of liquid crystal molecules satisfies a wave map equation with an acoustical metric. This improves the almost global existence result by Huang-Jiang-Zhao. As byproducts, we obtain the sharp (same as the linear solution) decay estimates for the nonlinear velocity and the n…

Spectre, a gift which keeps on giving.
https://gofetch.fail/

This https://arxiv.org/abs/2305.17294 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A boundary integral equation method for the complete electrode model in electrical impedance tomography with tests on experimental data
We develop a boundary integral equation-based numerical method to solve for the electrostatic potential in two dimensions, inside a medium with piecewise constant conductivity, where the boundary condition is given by the complete electrode model (CEM). The CEM is seen as the most accurate model of the physical setting where electrodes are placed on the surface of an electrically conductive body, and currents are injected through the electrodes and the resulting voltages are measured again on t…

This https://arxiv.org/abs/2401.09577 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Parameterizing black hole orbits for adiabatic inspiral
Adiabatic binary inspiral in the small mass ratio limit treats the small body as moving along a geodesic of a large Kerr black hole, with the geodesic slowly evolving due to radiative backreaction. Up to initial conditions, geodesics are typically parameterized in two ways: using the integrals of motion energy $E$, axial angular momentum $L_z$, and Carter constant $Q$; or, using orbit geometry parameters semi-latus rectum $p$, eccentricity $e$, and (cosine of ) inclination $x_I \equiv \cos I$. …

This https://arxiv.org/abs/2311.06610 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Intrinsic Geometry of Collider Observations and Forman Ricci Curvature
We study the persistent homology and combinatorial Forman Ricci curvature distributions of a multi-lepton pattern reconstructed at the detectors. The topological properties exhibit an almost constant scaling behaviour with integrated luminosity and event selection parameters. This exploratory study suggests that the higher-order geometric features could supplement the traditional cut-and-count analyses, differentiating the BSM signals from the SM background.

Identifying codes in graphs of given maximum degree. II. Triangle-free graphs
Dipayan Chakraborty, Florent Foucaud, Michael A. Henning, Tuomo Lehtil\"a
https://arxiv.org/abs/2403.17877

Identifying codes in graphs of given maximum degree. II. Triangle-free graphs
An $\textit{identifying code}$ of a closed-twin-free graph $G$ is a set $S$ of vertices of $G$ such that any two vertices in $G$ have a distinct intersection between their closed neighborhood and $S$. It was conjectured that there exists a constant $c$ such that for every connected closed-twin-free graph $G$ of order $n$ and maximum degree $Δ$, the graph $G$ admits an identifying code of size at most $\left( \frac{Δ-1}Δ \right) n+c$. In a companion paper, we proved the conjecture for all tre…

Towards Efficient Verification of Constant-Time Cryptographic Implementations
Luwei Cai, Fu Song, Taolue Chen
https://arxiv.org/abs/2402.13506 https://

Towards Efficient Verification of Constant-Time Cryptographic Implementations
Timing side-channel attacks exploit secret-dependent execution time to fully or partially recover secrets of cryptographic implementations, posing a severe threat to software security. Constant-time programming discipline is an effective software-based countermeasure against timing side-channel attacks, but developing constant-time implementations turns out to be challenging and error-prone. Current verification approaches/tools suffer from scalability and precision issues when applied to produ…

Heisenberg Soft Hair on Robinson-Trautman Spacetimes
H. Adami, A. Parvizi, M. M. Sheikh-Jabbari, V. Taghiloo
https://arxiv.org/abs/2402.17658 https://

Heisenberg Soft Hair on Robinson-Trautman Spacetimes
We study 4 dimensional $(4d$) gravitational waves (GWs) with compact wavefronts, generalizing Robinson-Trautman (RT) solutions in Einstein gravity with an arbitrary cosmological constant. We construct the most general solution of the GWs in the presence of a causal, timelike, or null boundary when the usual tensor modes are turned off. Our solution space besides the shape and topology of the wavefront which is a generic compact, smooth, and orientable $2d$ surface $Σ$, is specified by a vector…

This https://arxiv.org/abs/2312.07690 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

The discrete adiabatic quantum linear system solver has lower constant factors than the randomized adiabatic solver
The solution of linear systems of equations is the basis of many other quantum algorithms, and recent results provided an algorithm with optimal scaling in both the condition number $κ$ and the allowable error $ε$ [PRX Quantum \textbf{3}, 0403003 (2022)]. That work was based on the discrete adiabatic theorem, and worked out an explicit constant factor for an upper bound on the complexity. Here we show via numerical testing on random matrices that the constant factor is in practice about 1,500…

This https://arxiv.org/abs/2403.02461 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Electroweak metastability and Higgs inflation
Extrapolating the Standard Model Higgs potential at high energies, we study the barrier between the electroweak and Planck scale minima. The barrier arises by taking the central values of the relevant experimental inputs, that is the strong coupling constant and the top quark and Higgs masses. We then extend the Standard Model by including a non-minimal coupling to gravity, and explore the phenomenology of the Higgs inflation model. We point out that even configurations that would be metastable…

Uniformly rectifiable metric spaces satisfy the weak constant density condition
Jared Krandel
https://arxiv.org/abs/2403.14479 https://

Uniformly rectifiable metric spaces satisfy the weak constant density condition
The weak constant density condition is a quantitative regularity property originally investigated by David and Semmes in their foundational work on uniform rectifiability. Roughly speaking, a space satisfies this condition if in most balls, the space supports a measure with nearly constant density in a neighborhood of scales and locations. In this paper, we prove that uniformly rectifiable metric spaces satisfy the weak constant density condition, extending a theorem of David and Semmes. In ord…

This https://arxiv.org/abs/2308.07619 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Baxter operators in Ruijsenaars hyperbolic system IV. Coupling constant reflection symmetry
We introduce and study a new family of commuting Baxter operators in the Ruijsenaars hyperbolic system, different from that considered by us earlier. Using a degeneration of Rains integral identity we verify the commutativity between the two families of Baxter operators and explore this fact for the proof of the coupling constant symmetry of the wave function. We also establish a connection between new Baxter operators and Noumi-Sano difference operators.

This https://arxiv.org/abs/2212.13433 has been replaced.
link: https://scholar.google.com/scholar?q=a

FRB dark sirens: Measuring the Hubble constant with unlocalized fast radio bursts
Fast radio bursts (FRBs) can be used to measure cosmological parameters by employing the Macquart relation. However, at present, only a small number of FRB events are localized to host galaxies with known redshifts. Inspired by the dark siren method in gravitational wave cosmology, we develop a Bayesian method to statistically measure the Hubble constant using unlocalized FRBs and galaxy catalog data, which makes it possible to constrain cosmological parameters from a large number of FRB data w…

This https://arxiv.org/abs/2402.13127 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields
For a number field $K$, the Euler-Kronecker constant $γ_K$ associated to $K$ is an arithmetic invariant the size and nature of which is linked to some of the deepest questions in number theory. This theme was given impetus by Ihara who obtained bounds, both unconditional as well as under GRH for Dedekind zeta functions. In this note, we study the analogous constants associated to the narrow ray class fields of an imaginary quadratic field. Our goal for studying such families is twofold. First …

This https://arxiv.org/abs/2309.00521 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Linearized Analysis of Adiabatic Oscillations of Rotating Gaseous Stars
We study adiabatic oscillations of rotating self-gravitating gaseous stars in mathematically rigorous manner. The internal motion of the star is supposed to be governed by the Euler-Poisson equations with rotation of constant angular velocity under the equation of state of the ideal gas. The motion is supposed to be adiabatic, but not to be barotropic in general. This causes a free boundary problem to gas-vacuum interface. Existence of solutions to the linearized equation in the Lagrange coordi…

Coupled Boundary and Volume Integral Equations for Electromagnetic Scattering
Ignacio Labarca-Figueroa, Ralf Hiptmair
https://arxiv.org/abs/2403.17731 http…

Coupled Boundary and Volume Integral Equations for Electromagnetic Scattering
We study frequency domain electromagnetic scattering at a bounded, penetrable, and inhomogeneous obstacle $ Ω\subset \mathbb{R}^3 $. From the Stratton-Chu integral representation, we derive a new representation formula when constant reference coefficients are given for the interior domain. The resulting integral representation contains the usual layer potentials, but also volume potentials on $Ω$. Then it is possible to follow a single-trace approach to obtain boundary integral equations pert…

Holographic Gauss-Bonnet transport
Alex Buchel
https://arxiv.org/abs/2402.16109 https://arxiv.org/pdf/2402.16109

Holographic Gauss-Bonnet transport
We extend the computational framework of \cite{Buchel:2023fst} to analysis of shear and bulk viscosities in generic strongly coupled holographic Gauss-Bonnet gauge theories. The finite Gauss-Bonnet coupling constant encodes holographic plasma with non-equal central charges $c\ne a$ at the ultraviolet fixed point. In a simple model we discuss transport coefficients within the causality window $-\frac12\le \frac{c-a}{c}\le \frac 12$ of the theory.

This https://arxiv.org/abs/2303.05717 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

The effective volume of supernovae samples and sample variance
The source of the tension between local SN Ia based Hubble constant measurements and those from the CMB or BAO+BBN measurements is one of the most interesting unknowns of modern cosmology. Sample variance forms a key component of the error on the local measurements, and will dominate the error budget in the future as more SNe Ia are observed. Many methods have been proposed to estimate sample variance in many contexts, and we compared results from a number of approximate methods to estimates fr…

Holographic Gauss-Bonnet transport
Alex Buchel
https://arxiv.org/abs/2402.16109 https://arxiv.org/pdf/2402.16109

Holographic Gauss-Bonnet transport
We extend the computational framework of \cite{Buchel:2023fst} to analysis of shear and bulk viscosities in generic strongly coupled holographic Gauss-Bonnet gauge theories. The finite Gauss-Bonnet coupling constant encodes holographic plasma with non-equal central charges $c\ne a$ at the ultraviolet fixed point. In a simple model we discuss transport coefficients within the causality window $-\frac12\le \frac{c-a}{c}\le \frac 12$ of the theory.

This https://arxiv.org/abs/2402.04908 has been replaced.
link: https://scholar.google.com/scholar?q=a

Explicit lower bounds for the height in Galois extensions of number fields
Amoroso and Masser proved that for every real $ε> 0$, there exists a constant $c(ε)>0$, such that for every algebraic number $α$ with $\mathbb{Q}(α)/\mathbb{Q}$ being a Galois extension, the height of $α$ is either 0 or at least $c(ε) [\mathbb{Q}(α):\mathbb{Q}]^{-ε}$. In this article we establish an explicit version of this theorem.

This https://arxiv.org/abs/2402.13835 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Loop equations for generalised eigenvalue models
We derive the loop equation for the 1-matrix model with generic difference-type measure for eigenvalues and develop a recursive algebraic framework for solving it to an arbitrary order in the coupling constant in and beyond the planar approximation. The planar limit is solved exactly for a one-parametric family of models and in the general case at strong coupling. The Wilson loop in the N=2* super-Yang-Mills theory and the Hoppe model are used to illustrate our methods.

This https://arxiv.org/abs/2403.03484 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Hubble tension may indicate time-dependent dark matter comoving energy density
The values of Hubble constant H0 by direct measurements with standard distance ladder are typically larger than those obtained from the observation of cosmic microwave background and the galaxy survey with inverse distance ladder. On the other hand, although the errors are still large, various determinations of the value of matter density parameter Omega_m are consistent with each other. Therefore, it is possible that the difference in Hubble constant is translated to the difference of physical…

This https://arxiv.org/abs/2309.06900 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Fast Exact Algorithm for Neutrino Oscillation in Constant Matter Density
A recently published method for solving the neutrino evolution equation with constant matter density is further refined and used to lay out an exact algorithm for computing oscillation probabilities, which is moderately faster than previous methods when looping through neutrinos of different energies. In particular, the three examples of $\overset{\scriptscriptstyle{(-)}}ν_e$ survival, $\overset{\scriptscriptstyle{(-)}}ν_μ$ survival and $\overset{\scriptscriptstyle{(-)}}ν_e$ appearance prob…

This https://arxiv.org/abs/2402.13835 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Loop equations for generalised eigenvalue models
We derive the loop equation for the 1-matrix model with generic difference-type measure for eigenvalues and develop a recursive algebraic framework for solving it to an arbitrary order in the coupling constant in and beyond the planar approximation. The planar limit is solved exactly for a one-parametric family of models and in the general case at strong coupling. The Wilson loop in the N=2* super-Yang-Mills theory and the Hoppe model are used to illustrate our methods.

Massless fermions in black string spacetime
R. Darlla, \"O. Ye\c{s}ilta\c{s}, J. Furtado
https://arxiv.org/abs/2403.17604 https://

Massless fermions in black string spacetime
In this paper we investigate the behaviour of massless fermions in the black string spacetime by computing the eigenvalues and eigenfunctions of the Weyl equations. These solutions allowed us to study the behaviour of such massless fermions in terms of the cosmological constant, the black string's mass and the radial distance of the particle from the black string. The solutions, written in terms of Parabolic Cylinder functions and Laguerre polynomials, were obtained for a particle far from the …

Hagedorn transitions in exact U_q(su(2)) S-matrix theories with arbitrary spins
Changrim Ahn, Tommaso Franzini, Francesco Ravanini
https://arxiv.org/abs/2402.15794

Hagedorn transitions in exact U_q(su(2)) S-matrix theories with arbitrary spins
Generalizing the quantum sine-Gordon and sausage models, we construct exact S-matrices for higher spin representations with quantum U_q(su(2)) symmetry, which satisfy unitarity, crossing-symmetry, and the Yang-Baxter equations with minimality assumption, i.e. without any unnecessary CDD factor. The deformation parameter q is related to a coupling constant. Based on these S-matrices, we derive the thermodynamic Bethe ansatz equations for q a root of unity in terms of a universal kernel where the…

Hagedorn transitions in exact U_q(su(2)) S-matrix theories with arbitrary spins
Changrim Ahn, Tommaso Franzini, Francesco Ravanini
https://arxiv.org/abs/2402.15794

Hagedorn transitions in exact U_q(su(2)) S-matrix theories with arbitrary spins
Generalizing the quantum sine-Gordon and sausage models, we construct exact S-matrices for higher spin representations with quantum U_q(su(2)) symmetry, which satisfy unitarity, crossing-symmetry, and the Yang-Baxter equations with minimality assumption, i.e. without any unnecessary CDD factor. The deformation parameter q is related to a coupling constant. Based on these S-matrices, we derive the thermodynamic Bethe ansatz equations for q a root of unity in terms of a universal kernel where the…

On the field independent additive constant in Wilson actions
Carlo Pagani, Hidenori Sonoda
https://arxiv.org/abs/2404.12881 https://a…

On the field independent additive constant in Wilson actions
We discuss the field independent additive constant in Wilson actions carefully within the exact renormalization group formalism. The additive constant does not affect the correlation functions of fields normalized by the partition function, and for that reason it is often ignored. But it is an essential part of the partition function, and in the limit where the UV cutoff goes to zero, the constant gives a renormalized vacuum energy density. We discuss two concrete examples: the Gaussian theory …