Tootfinder

On the visibility window for Brownian interlacements, Poisson cylinders and Boolean models
Yingxin Mu, Artem Sapozhnikov
https://arxiv.org/abs/2506.21516 h…

On the visibility window for Brownian interlacements, Poisson cylinders and Boolean models
We study visibility inside the vacant set of three models in $\mathbb R^d$ with slow decay of spatial correlations: Brownian interlacements, Poisson cylinders and Poisson-Boolean models. Let $Q_x$ be the radius of the largest ball centered at $x$ every point of which is visible from $0$ through the vacant set of one of these models. We prove that conditioned on $x$ being visible from $0$, $Q_x/δ_{\|x\|}$ converges weakly, as $x\to\infty$, to the exponential distribution with an expli…

Termination-Driven Control over BIC Q-Factors and Frequencies in Plasmonic Double Net Metamaterials
Cedric Schumacher, Bilel Abdennadher, Ullrich Steiner, Matthias Saba
https://arxiv.org/abs/2508.16429

Termination-Driven Control over BIC Q-Factors and Frequencies in Plasmonic Double Net Metamaterials
Interlaced metallic wire meshes are 3D metamaterials consisting of two intertwined metallic networks. These plasmonic double nets give rise to otherwise unobserved longitudinal, weakly dispersive and broadband electron acoustic modes from the effective plasma frequency of the double net down to arbitrarily low frequencies. These modes have recently been shown to generate confined slab modes with extremely long lifetimes (high quality factors), so-called quasi-bound states in the continuum. This…

Particle detection among Random Walks as a non-reversible Random Interlacements Process
Gonzalo Panizo, Carlos Mart\'inez
https://arxiv.org/abs/2507.14816

Particle detection among Random Walks as a non-reversible Random Interlacements Process
Consider the random set composed of particles initially distributed on Zd, d >= 2, according to a Poisson point process of intensity u > 0 and moving as independent simple symmetric random walks, the trap particles. We are interested in the detection by these particles of a target particle, initially at the origin and able to move with finite mean speed. The escape strategy for the target particle is to stay inside the infinite cluster of empty sites, assuming u is in the subcritical site perco…

Multiscale Microscopy via Automation: Dual Magnification ESEM Imaging by Frame Alternation
Maurits Vuijk, Johannes Zeininger, Luis Sandoval, G\"unther Rupprechter, Beatriz Roldan Cuenya, Karsten Reuter, Thomas Lunkenbein, Christoph Scheurer
https://arxiv.org/abs/2508.06523

Multiscale Microscopy via Automation: Dual Magnification ESEM Imaging by Frame Alternation
In Environmental Scanning Electron Microscopy (ESEM) experiments, the acquisition parameters are generally kept constant throughout the collection of a data set. This limits data collection to one data set at a time, and frequent human interaction is required to maintain the image quality. Here, we use a custom-designed automation interface to minimize such supervision and allow for the collection of multiple interlaced data sets simultaneously. The oscillatory modes of an example catalytic sys…

This https://arxiv.org/abs/2401.13412 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Poisson Representable Processes
Motivated by Alain-Sol Sznitman's interlacement process, we consider the set of $\{0,1\}$-valued processes which can be constructed in an analogous way, namely as a union of sets coming from a Poisson process on a collection of sets. Our main focus is to determine which processes are representable in this way. Some of our results are as follows. (1) All positively associated Markov chains and a large class of renewal processes are so representable. (2) Whether an average of two product measures…