Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
A Method for the Analysis of the Symmetry of Excited States from GW-BSE. [PDF]
Maymoun M +4 more
europepmc +1 more source
Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations
ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani +2 more
wiley +1 more source
Conjugations of unitary operators, II. [PDF]
Mashreghi J, Ptak M, Ross WT.
europepmc +1 more source
Duality for Evolutionary Equations With Applications to Null Controllability
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
No-Signaling in Steepest Entropy Ascent: A Nonlinear, Non-Local, Non-Equilibrium Quantum Dynamics of Composite Systems Strongly Compatible with the Second Law. [PDF]
Ray RK, Beretta GP.
europepmc +1 more source
Homogenization With Guaranteed Bounds via Primal‐Dual Physically Informed Neural Networks
ABSTRACT Physics‐informed neural networks (PINNs) have shown promise in solving partial differential equations (PDEs) relevant to multiscale modeling, but they often fail when applied to materials with discontinuous coefficients, such as media with piecewise constant properties. This paper introduces a dual formulation for the PINN framework to improve
Liya Gaynutdinova +3 more
wiley +1 more source
Near Linearity of the Macroscopic Hall Current Response in Infinitely Extended Gapped Fermion Systems. [PDF]
Wesle M +4 more
europepmc +1 more source
ABSTRACT The contribution deals with algebraic multigrid (AMG) based preconditioning methods for the iterative solution of a coupled linear system of equations arising in numerical simulations of failure of quasi‐brittle materials using generalized continuum approaches.
Nasser Alkmim +4 more
wiley +1 more source
Integrating local energetics into Maxwell-Calladine constraint counting to design mechanical metamaterials. [PDF]
Rocks JW, Mehta P.
europepmc +1 more source

