On the fixed‐point proportion of self‐similar groups
Abstract We prove that super strongly fractal groups acting on regular rooted trees have null fixed‐point proportion. In particular, we show that the fixed‐point proportion of an infinite family of iterated monodromy groups of exceptional complex polynomials has the same property.
Jorge Fariña‐Asategui, Santiago Radi
wiley +1 more source
On the convergence property of the sum of reciprocals of Mersenne primes [PDF]
The sum of reciprocals of Mersenne primes converges to 0.51645417894078856533・・・
Tanaka, Yoshihiro
core
Converting Binary Floating‐Point Numbers to Shortest Decimal Strings: An Experimental Review
ABSTRACT Background When sharing or logging numerical data, we must convert binary floating‐point numbers into their decimal string representations. For example, the number π might become 3.1415927. Engineers have perfected many algorithms for producing such accurate, short strings.
Jaël Champagne Gareau, Daniel Lemire
wiley +1 more source
On the emergence of the Quanta Prime sequence
This paper presents the Quanta Prime Sequence (QPS) and its foundational theorem, showcasing a unique class of polynomials with substantial implications.
Moustafa Ibrahim
doaj +1 more source
On the intersections of nilpotent subgroups in simple groups
Abstract Let G$G$ be a finite group and let Hp$H_p$ be a Sylow p$p$‐subgroup of G$G$. A recent conjecture of Lisi and Sabatini asserts the existence of an element x∈G$x \in G$ such that Hp∩Hpx$H_p \cap H_p^x$ is inclusion‐minimal in the set {Hp∩Hpg:g∈G}$\lbrace H_p \cap H_p^g \,:\, g \in G\rbrace$ for every prime p$p$.
Timothy C. Burness, Hong Yi Huang
wiley +1 more source
FPGA Realization of a Novel Hyperchaos Augmented Image Encryption Algorithm
With the rapid growth of multimedia communication, protecting image data has become increasingly critical. This article proposes a novel 3‐stage hyperchaos‐based augmented image encryption technique (3SHAIET) that utilizes a three‐stage process with chaotic systems of increasing dimensionality (e.g., six‐dimensional [6D], 8D, and 9D) to enhance ...
Wassim Alexan +6 more
wiley +1 more source
Generation of Fast Finite Field Arithmetic forCortex-M4 with ECDH and SQIsign Applications
Finite field arithmetic is central to several cryptographic algorithms on embedded devices like the ARM Cortex-M4, particularly for elliptic curve and isogenybased cryptography.
Felix Carvalho Rodrigues +7 more
doaj +1 more source
AI Secure Watermarking Method Leveraging the Error‐Resistant Nature of Deep Learning Models
ABSTRACT The widespread use of generated media based on generative AI models, raises the risks of copyright violation and ownership conflicts. It has also introduced challenges such as deepfake misuse and unauthorised distribution of digital content. Watermarking methodologies, including embedding and tracing, have emerged as solutions for protecting ...
Arushi Chatterjee +4 more
wiley +1 more source
Algebraic divisibility sequences over function fields [PDF]
In this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields ...
Mahe, Valery +14 more
core +2 more sources
Automatic generation of high-performance modular multipliers for arbitrary mersenne primes on FPGAs
S.35-40Modular multiplication is a fundamental and performance determining operation in various public-key cryptosystems. High-performance modular multipliers on FPGAs are commonly realized by several small-sized multipliers, an adder tree for summing up
Koppermann, P. +3 more
core +1 more source

