Results 81 to 90 of about 931 (215)

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Idempotents which are products of two nilpotents

Special Matrices
Over any GCD (greatest common divisor) commutative domain we show that the nontrivial 2×22\times 2 idempotent matrices are products of two nilpotent matrices. In order to find explicitly such decompositions, two procedures are described.
Călugăreanu Grigore, Pop Horia F.
doaj   +1 more source

On the Convergence Rate of the Caputo Fractional Difference Logistic Map of Nilpotent Matrices

Fractal and Fractional
The convergence rate of the Caputo fractional difference logistic map of nilpotent matrices is investigated in this paper. The divergence rate of the auxiliary parameters governing the dynamics of nilpotents is exponential and is multiple to the Lyapunov
Rasa Smidtaite, Algirdas Kazlauskas, Mark Edelman, Minvydas Ragulskis   +3 more
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Instantons on Calabi-Yau and hyper-Kähler cones

Journal of High Energy Physics, 2017
The instanton equations on vector bundles over Calabi-Yau and hyper-Kähler cones can be reduced to matrix equations resembling Nahm’s equations. We complement the discussion of Hermitian Yang-Mills (HYM) equations on Calabi-Yau cones, based on regular ...
Jakob C. Geipel, Marcus Sperling
doaj   +1 more source

A classification of Prüfer domains of integer‐valued polynomials on algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley   +1 more source

Invertible and nilpotent matrices over antirings [PDF]

, 2009
In this paper, we characterize invertible matrices over an arbitrary commutative antiring S with 1 and find the structure of GLn(S). We find the number of nilpotent matrices over an entire commutative finite antiring.
Dolžan, David, Oblak, Polona
core   +1 more source

REGULARIZATION OF NON-NORMAL MATRICES BY GAUSSIAN NOISE—THE BANDED TOEPLITZ AND TWISTED TOEPLITZ CASES

Forum of Mathematics, Sigma, 2019
We consider the spectrum of additive, polynomially vanishing random perturbations of deterministic matrices, as follows. Let $M_{N}$ be a deterministic $N\times N$ matrix, and let $G_{N}$ be a complex Ginibre matrix.
ANIRBAN BASAK, ELLIOT PAQUETTE, OFER ZEITOUNI   +2 more
doaj   +1 more source

A P‐adic class formula for Anderson t‐modules

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley   +1 more source

$L^p$ Matrix Coefficients for Nilpotent Lie Groups

Rocky Mountain Journal of Mathematics, 1996
Suppose that \(G\) is a connected nilpotent Lie group. For any irreducible unitary representation \(\pi\) of \(G\), denote by \(N_\pi\) its kernel. The main theorem of the paper under review is that there exists \(p\) in \([2,\infty)\), depending only on \(G\), such that the matrix coefficients \(g\mapsto\langle\pi(g)\xi,\eta\rangle\) lie in \(L^p(G/N_\
Corwin, Lawrence, Moore, Calvin C.
openaire   +3 more sources