Tootfinder

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two
Urs Lang, Stephan Stadler, David Urech
https://arxiv.org/abs/2506.04882 https://

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two
Gromov's isoperimetric gap conjecture for Hadamard spaces states that cycles in dimensions greater than or equal to the asymptotic rank admit linear isoperimetric filling inequalities, as opposed to the inequalities of Euclidean type in lower dimensions. In the case of asymptotic rank 2, recent progress was made by Druţu-Lang-Papasoglu-Stadler who established a homotopical inequality for Lipschitz 2-spheres with exponents arbitrarily close to 1. We prove a homological inequality of the same ty…

This https://arxiv.org/abs/2408.11978 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Optimized Kalman Filter based State Estimation and Height Control in Hopping Robots
Rotor-based hopping locomotion significantly improves efficiency and operation time as compared to purely flying systems; where most hopping robots use the liftoff states and an assumed ballistic trajectory to determine the hopping height. However, significant aerial phase force (e.g., thrust and drag) can invalidate this assumption and lead to poor estimation performance. To combat this issue, a group has implemented multiple sensors (active and passive optical, inertial, and contact) and sign…

Star decompositions via orientations
Viktor Harangi
https://arxiv.org/abs/2506.05194 https://arxiv.org/pdf/2506.05194

Star decompositions via orientations
A $k$-star decomposition of a graph is a partition of its edges into $k$-stars (i.e., $k$ edges with a common vertex). The paper studies the following problem: given $k \leq d/2$, does the random $d$-regular graph have a $k$-star decomposition (asymptotically almost surely, provided that the number of edges is divisible by $k$)? Delcourt, Greenhill, Isaev, Lidický, and Postle proved the a.a.s. existence for every odd $k$ using earlier results regarding orientations satisfying certain degree co…

gardening trivia of the day / no I don't want to get into roses I am just rabbit holing rose varieties and gardens for no reason
#TIL #roses

This https://arxiv.org/abs/2407.02313 has been replaced.
link: https://scholar.google.com/scholar?q=a

A Casimir-like probe for 4D Einstein-Gauss-Bonnet gravity
Virtual transitions in a Casimir-like configuration are utilized to probe quantum aspects of four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity. This study employs a quantum optics-based approach, wherein an Unruh-DeWitt detector (modeled as a two-level atom) follows a radial timelike geodesic, falling freely into an uncharged, nonrotating black hole described by 4D EGB gravity, becoming thermalized in the usual Unruh manner. The black hole, asymptotically Minkowskian, is enclosed by a Cas…

On the asymptotic behavior of a higher-order extrapolation primal-dual interior-point method for nonlinear programming
Pim Heeman, Anders Forsgren
https://arxiv.org/abs/2507.01866

On the asymptotic behavior of a higher-order extrapolation primal-dual interior-point method for nonlinear programming
A trajectory-following primal--dual interior-point method solves nonlinear optimization problems with inequality and equality constraints by approximately finding points satisfying perturbed Karush--Kuhn--Tucker optimality conditions for a decreasing order of perturbation controlled by the barrier parameter. Under some conditions, there is a unique local correspondence between small residuals of the optimality conditions and points yielding that residual, and the solution on the barrier traject…

good news: California Assembly passed a bill to require Caltrans to develop a quick-build program for bike lane and intersection safety projects on state highways! it's #AB891 (Zbur)
https://

Quick-Build Legislation Makes It Through the Assembly - Streetsblog California
Following the success of Quick-Build projects in Santa Monica, their Assemblymember wants to allow them on state highways.

My fair city of Roanoke attained “Bee City USA” status in 2022, which aims to “promote healthy, sustainable habitats for bees and other pollinators, responsible for the reproduction of nearly 90% of the world’s flowering plant species and one in every three bites of food we eat.”
Last night, a couple of garden clubs teamed up with the city to screen a new PBS Nature documentary, “My Garden of a Thousand Bees”.

My Garden of a Thousand Bees
New PBS documentary following wildlife filmmaker Martin Dohrn as he films more than 60 species of bees in his urban garden in Bristol, England, during the COVID-19 2020 lockdown.

Global Calder\'on-Zygmund estimates for asymptotically convex fully nonlinear Grad-Mercier type equations
Yao Zhang, Xiaofeng Jin, Lingwei Ma, Zhenqiu Zhang
https://arxiv.org/abs/2506.23216

Global Calderón-Zygmund estimates for asymptotically convex fully nonlinear Grad-Mercier type equations
In this paper, we consider the following Dirichlet problem for the fully nonlinear elliptic equation of Grad-Mercier type under asymptotic convexity conditions \begin{equation*} \left\{ \begin{array}{ll} F(D^2u(x),Du(x),u(x),x)=g(|\{y\in Ω:u(y)\ge u(x)\}|)+f(x) & \text{in } Ω, u=ψ&\text{on } \partial Ω. \end{array} \right. \end{equation*} In order to overcome the non-convexity of the operator $F$ and the nonlocality of the nonhomogeneous term $g$, we apply the compactn…

Attracting measures
Julian Newman, Peter Ashwin
https://arxiv.org/abs/2506.02136 https://arxiv.org/pdf/2506.02136

Attracting measures
Under mild assumptions, the SRB measure $μ$ associated to an Axiom A attractor $A$ has the following properties: (i) the empirical measure starting at a typical point near $A$ converges weakly to $μ$; (ii) the pushforward of any Lebesgue-absolutely continuous probability measure supported near $A$ converges weakly to $μ$. In general, a measure with the first property is called a "physical measure", and physical measures are recognised as generally important in their own right. In this paper,…