Tootfinder

Evaluating the Quality of Randomness and Entropy in Tasks Supported by Large Language Models
Rabimba Karanjai, Yang Lu, Ranjith Chodavarapu, Lei Xu, Weidong Shi
https://arxiv.org/abs/2510.12080

Evaluating the Quality of Randomness and Entropy in Tasks Supported by Large Language Models
The rapid advancement of large language model (LLM) technology has led to diverse applications, many of which inherently require randomness, such as stochastic decision-making, gaming, scheduling, AI agents, and cryptography-related tasks. However, the capabilities of LLMs in handling randomness, particularly in generating and utilizing random numbers effectively, remain unclear. This paper investigates the capacity of LLMs for handling tasks that involve randomness through a series of experime…

A central limit theorem for unbalanced step-reinforced random walks
Zhishui Hu, Liang Dong
https://arxiv.org/abs/2510.10898 https://arxiv.org/pdf/2510.1089…

A central limit theorem for unbalanced step-reinforced random walks
In this paper, we study a class of unbalanced step-reinforced random walks that unifies the elephant random walk, the positively step-reinforced random walk, and the negatively step-reinforced random walk. By establishing a connection with bond percolation on random recursive trees, these processes can be represented as randomly weighted sums of independent and identically distributed random variables. We first derive normal and stable central limit theorems for such randomly weighted sums, and…

Trump drops Marjorie Taylor Greene endorsement, calls her a 'ranting lunatic,' hints at backing primary rival (Jasmine Baehr/Fox News)
https://www.foxnews.com/politics/trump-drops-marjorie-taylor-greene-endorsement-calls-her-ranting-lunatic-hints-backing-primary-rival
http://www.memeorandum.com/251114/p138#a251114p138

Runtime Composition in Dynamic System of Systems: A Systematic Review of Challenges, Solutions, Tools, and Evaluation Methods
Muhammad Ashfaq, Ahmed R. Sadik, Teerath Das, Muhammad Waseem, Niko Makitalo, Tommi Mikkonen
https://arxiv.org/abs/2510.12616

Runtime Composition in Dynamic System of Systems: A Systematic Review of Challenges, Solutions, Tools, and Evaluation Methods
Context: Modern Systems of Systems (SoSs) increasingly operate in dynamic environments (e.g., smart cities, autonomous vehicles) where runtime composition -- the on-the-fly discovery, integration, and coordination of constituent systems (CSs)--is crucial for adaptability. Despite growing interest, the literature lacks a cohesive synthesis of runtime composition in dynamic SoSs. Objective: This study synthesizes research on runtime composition in dynamic SoSs and identifies core challenges, solu…

Adding All Flavors: A Hybrid Random Number Generator for dApps and Web3
Ranjith Chodavarapu, Rabimba Karanjai, Xinxin Fan, Weidong Shi, Lei Xu
https://arxiv.org/abs/2510.12062 h…

Adding All Flavors: A Hybrid Random Number Generator for dApps and Web3
Random numbers play a vital role in many decentralized applications (dApps), such as gaming and decentralized finance (DeFi) applications. Existing random number provision mechanisms can be roughly divided into two categories, on-chain, and off-chain. On-chain approaches usually rely on the blockchain as the major input and all computations are done by blockchain nodes. The major risk for this type of method is that the input itself is susceptible to the adversary's influence. Off-chain…

Beim Thema "Rentenreform" wird es noch richtig spannend. Da will die Regierung etwas beschließen und ausgerechnet eine Gruppe junger CDU-Abgeordneter will im Bundestag dagegen stimmen.
Sie haben bisher keine detaillierte Alternative zum Rentenpaket vorgelegt, mit der sie das bestehende Gesetzespaket ersetzen wollen. Ihr Hauptvorschlag ist, das Rentenniveau nur bis zum Jahr 2031 bei 48 Prozent zu stabilisieren, wie es im Koalitionsvertrag vereinbart ist.

Very Sexy Mystery Woman Diving in a Yellow Swimsuit
Season 8 Episode 8 "Eel Niño"
#RandomBaywatch #lvdlpx #Baywatch

I just read a fascinating and understandable article that gave me a better understanding of LLMs and how they operate.
LLMs Are Randomized Algorithms
A surprising connection between the newest AI models and a 50-year old academic field
by Udayan Kanade
Nov 13, 2025
18 min read
#LLM #AI #algorithms

The Diameter of (Threshold) Geometric Inhomogeneous Random Graphs
Zylan Benjert, Kostas Lakis, Johannes Lengler, Raghu Raman Ravi
https://arxiv.org/abs/2510.12543 https://

The Diameter of (Threshold) Geometric Inhomogeneous Random Graphs
We prove that the diameter of threshold (zero temperature) Geometric Inhomogeneous Random Graphs (GIRG) is $Θ(\log n)$. This has strong implications for the runtime of many distributed protocols on those graphs, which often have runtimes bounded as a function of the diameter. The GIRG model exhibits many properties empirically found in real-world networks, and the runtime of various practical algorithms has empirically been found to scale in the same way for GIRG and for real-world networks,…

Quenched and Annealed CLTs for the one-periodic Aztec diamond in random environment
Panagiotis Zografos
https://arxiv.org/abs/2510.11846 https://arxiv.org/…

Quenched and Annealed CLTs for the one-periodic Aztec diamond in random environment
We study the asymptotic behavior of random dimer coverings of the one-periodic Aztec diamond in random environment. We investigate quenched limit theorems for the height function and we extend annealed limit theorems that were recently studied in [arXiv:2507.08560]. We consider more general choices of random edge weights (independence is not assumed) and we distinguish two cases where the random edge weights satisfy the Central Limit Theorem (CLT) under different scalings. For both cases, we pr…