Tootfinder

UK Gov to review taxes on gambling.
I know what to do - charge a completely random amount between 0 and 100% on winnings. Ask yourself, are you feeling lucky??
#ukpolitics #gambling

Maximal intrinsic randomness of noisy quantum measurements
Fionnuala Curran, Morteza Moradi, Gabriel Senno, Magdalena Stobinska, Antonio Ac\'in
https://arxiv.org/abs/2506.22294

Maximal intrinsic randomness of noisy quantum measurements
Quantum physics exhibits an intrinsic and private form of randomness with no classical counterpart. Any setup for quantum randomness generation involves measurements acting on quantum states. In this work, we consider the following question: Given a quantum measurement, how much randomness can be generated from it? In real life, measurements are noisy and thus contain an additional, extrinsic form of randomness due to ignorance. This extrinsic randomness is not private since, in an adversarial …

Constructing new probability distributions on the unit interval
Roberto Vila, Helton Saulo, Poliana Matos, Subhankar Dutta
https://arxiv.org/abs/2508.01154 https://

Constructing new probability distributions on the unit interval
In this paper, we introduce a novel method for constructing probability distributions on the unit interval by exploiting the non-injective transformation defined by the ratio of two positive random variables, $X$ and $Y$. For simplicity and tractability, we focus on independent random variables $X$ and $Y$ following gamma distributions. We derive some results including laws, density functions, quantile function and closed-form expressions for the moments, and discuss maximum likelihood estimati…

Now I’m on MIRAC’s mailing list, so hopefully I don’t miss the next one.
Also, though…it is just deeply heartening to randomly encounter a protest: not a thing that I already knew about, but a thing that just •showed up• in my neighborhood. It makes me feel like the circle of resistance is much bigger than my own little circle. And it is.
That’s the feeling I want us to create: “Wow, these protests are everywhere.”

Random burning of the Euclidean lattice
Guillaume Blanc, Alice Contat
https://arxiv.org/abs/2509.02562 https://arxiv.org/pdf/2509.02562

Random burning of the Euclidean lattice
The burning number of a graph is the minimal number of steps that are needed to burn all of its vertices, with the following burning procedure: at each step, one can choose a point to set on fire, and the fire propagates constantly at unit speed along the edges of the graph. In this paper, we consider two natural random burning procedures in the discrete Euclidean torus $\mathbb{T}_n^d$, in which the points that we set on fire at each step are random variables. Our main result deals with the ca…

To Share, or Not to Share: A Study on GEO-LEO Systems for IoT Services with Random Access
Marcel Grec, Federico Clazzer, Israel Leyva-Mayorga, Andrea Munari, Gianluigi Liva, Petar Popovski
https://arxiv.org/abs/2509.01506

To Share, or Not to Share: A Study on GEO-LEO Systems for IoT Services with Random Access
The increasing number of satellite deployments, both in the low and geostationary Earth orbit exacerbates the already ongoing scarcity of wireless resources when targeting ubiquitous connectivity. For the aim of supporting a massive number of IoT devices characterized by bursty traffic and modern variants of random access, we pose the following question: Should competing satellite operators share spectrum resources or is an exclusive allocation preferable? This question is addressed by devising…

A note on new type degenerate Srirling numbers of the first kind
Taekyun Kim, Dae san Kim, Kyo-Shin Hwang, Dmitry V. Dolgy
https://arxiv.org/abs/2509.03415 https://

A note on new type degenerate Srirling numbers of the first kind
We introduce a new sequence of unsigned degenerate Stirling numbers of the first kind. Following the work of Adell-Lekuona, who represented unsigned Stirling numbers of the first kind as multiples of the expectations of specific random variables, we express our new numbers as finite sums of multiples of the expectations of certain random variables. We also provide a representation of these new numbers as finite sums involving the classical unsigned Stirling numbers of the first kind. As an inve…

The dimension of random subsets of self-similar sets generated by branching random walk
Pieter Allaart, Lauritz Streck
https://arxiv.org/abs/2506.22959 htt…

The dimension of random subsets of self-similar sets generated by branching random walk
Given a self-similar set $Λ$ that is the attractor of an iterated function system (IFS) $\{f_1,\dots,f_N\}$, consider the following method for constructing a random subset of $Λ$: Let $\mathbf{p}=(p_1,\dots,p_N)$ be a probability vector, and label all edges of a full $M$-ary tree independently at random with a number from $\{1,2,\dots,N\}$ according to $\mathbf{p}$, where $M\geq 2$ is an arbitrary integer. Then each infinite path in the tree starting from the root receives a random label sequ…

Non-local random deposition models for earthquakes and energy propagation
Philippe Carmona, Fran\c{c}ois P\'etr\'elis, Nicolas P\'etr\'elis
https://arxiv.org/abs/2506.23853

Non-local random deposition models for earthquakes and energy propagation
We investigate a new class of non-local random deposition models, initially introduced by physicists to study the field of mechanical constraints (stress) applied along a line or on a given area located in a seismic zone. The non-local features are twofold. First, the falling objects have random and heavy-tailed dimensions. Second, the locations where the objects are falling are at least for some of the models that we consider, depending on the shape of the surface before deposition. We conside…