Results 31 to 40 of about 9,944 (204)
Functional Equations Associated to Collatz-Type Maps on Integer Rings of Algebraic Number Fields
, 2021 Withdrawn due to an error in section three, where the structure of the quotient of a ring of algebraic integers modulo an ideal thereof was not incorrectly ...
openaire +2 more sources
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Algebraic Methods for Finite Linear Cellular Automata [PDF]
, 1996 PhDCellular automata are a simple class of extended dynamical systems which have been much studied in recent years. Linear cellular automata are the class of cellular automata most amenable to algebraic analytic treatments, algebraic techniques are ...
Dow, R. A.
core
The SIR Model in a Moving Population: Propagation of Infection and Herd Immunity
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT In a collection of particles performing independent random walks on Zd$\mathbb {Z}^d$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when they meet an infected particle. Infected particles heal and are removed at rate ν$\nu$.
Duncan Dauvergne, Allan Sly
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A generalization of the LLL-algorithm over euclidean rings or orders [PDF]
, 1996 . Numerous important lattices (D 4 , E8 , the Coxeter-Todd lattice K12 , the Barnes-Wall lattice 16 , the Leech lattice 24 , as well as the 2-modular 32-dimensional lattices found by Quebbemann and Bachoc) possess algebraic structures over various ...
Huguette Napias, Napias, Huguette
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Algebraic K -Theory of Number Fields and Rings of Integers and the Stickelberger Ideal
The Annals of Mathematics, 1992 Let \(F\) be an abelian extension of \(\mathbb{Q}\). The Stickelberger theorem constructs an ideal \(S_ 0\) in \(\mathbb{Z}[G(F/\mathbb{Q})]\) that annihilates the class group of \(F\). The ideal \(S_ 0\) is generated by elements of the form \[ \Theta_ 0(b)=(b-(b,F))\sum_{(a;f)=1;1\leq an\): \[ \left|{{w_{n+1}(F)\zeta_ F(-n)} \over {\prod_{v\mid\ell}w_
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Julia Robinson numbers and arithmetical dynamic of quadratic polynomials [PDF]
Indiana University Mathematics Journal, 2017 For rings $\mathcal{O}_K$ of totally real algebraic integers, J. Robinson defined a set which is always $\{+\infty\}$ or of the form $[\lambda,+\infty)$ or $(\lambda,+\infty)$ for some real number $\lambda\ge4$. All known examples give either $\{+\infty\}
Marianela Castillo Fern'andez +2 more
semanticscholar +1 more source
Land Degradation &Development, EarlyView.ABSTRACT In coal‐grain composite regions, intensive underground coal extraction causes large‐scale surface subsidence; under shallow groundwater conditions, these subsided landscapes rapidly transform former croplands into persistent open water bodies, creating long‐term inundated landscapes. Passive water‐retention strategies in these areas often rely
Ruihao Cui +6 more
wiley +1 more source
Combinatorics of H-primes in quantum matrices [PDF]
, 2006 For q epsilon C transcendental over Q, we give an algorithmic construction of an order-isomorphism between the set of H-primes of O-q (M-n (C)) and the sub-poset S of the (reverse) Bruhat order of the symmetric group S-2n consisting of those permutations
Stéphane Launois, Launois, Stephane
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Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source