Central limit and other weak theorems

Results 101 to 110 of about 1,120 (201)

Large infinities and definable sets. [PDF]

Proc Natl Acad Sci U S A
Aguilera JP, Bagaria J, Lücke P.
europepmc +1 more source

Wavefront Shaping for Optimal Extinction of Focused Light by Individual Nanoscatterers

Laser &Photonics Reviews, EarlyView.
Wavefront shaping enables near‐complete optical extinction by nanoscatterers separated from a planar reflector. Time‐reversed emission profiles provide optimal illumination conditions, yielding 70% extinction from a single plasmonic nanoparticle and up to 90% from sub‐wavelength nanoparticle clusters, offering a promising route to efficient in‐ and out‐
Nick Feldman +5 more
wiley +1 more source

Allee Effect and Oncolytic Virotherapy: Different Therapeutic Outcomes for Different Tumour Growth. [PDF]

Bull Math Biol
Chen J, Frascoli F, Zhang T.
europepmc +1 more source

Photonic Neuromorphic Processing With Coupled Spiking Silicon Microrings

Laser &Photonics Reviews, EarlyView.
A neuromorphic photonic core composed of three self‐pulsing silicon microring resonators is experimentally demonstrated for analogue and digital processing. Richer computational capabilities emerge under injection conditions where the dynamics are nonlinear and coupled, yet remain reproducible, opening novel strategies for future on‐chip training and ...
Giovanni Donati +3 more
wiley +1 more source

Identity-by-descent segments in large samples. [PDF]

Theor Popul Biol
Temple SD, Thompson EA.
europepmc +1 more source

Almost Periodicity on Isolated Time Scales and Applications

Mathematische Nachrichten, EarlyView.
ABSTRACT In this work, we formulate a generalized definition of almost periodicity for functions defined on isolated time scales. The introduced definition is consistent with the known formulations in the discrete and quantum calculus settings. We state two different definitions of almost periodicity and we show their relation.
Martin Bohner +2 more
wiley +1 more source

Minding the gap between artificial and biological computing paradigms for biologically loyal AI. [PDF]

Front Syst Neurosci
Kirkpatrick KL.
europepmc +1 more source

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng, Hao Shen, Ranchao Wu, Hao Wang +3 more
wiley +1 more source

How Long does it Take to Train an Elephant Random Walk. [PDF]

J Stat Phys
Fang Z.
europepmc +1 more source

Graded Differential Polynomial Rings

Mathematische Nachrichten, EarlyView.
ABSTRACT We study differential polynomial rings R[t;δ]$R[t;\delta]$ over Γ$\Gamma$‐graded rings, where Γ$\Gamma$ is an arbitrary group. We show that R[t;δ]$R[t;\delta]$ admits a Γ$\Gamma$‐grading compatible with that of R$R$ if and only if δ$\delta$ is a γ$\gamma$‐derivation for some γ∈CΓ(ΓR)$\gamma \in C_\Gamma (\Gamma _R)$, and that this grading is ...
Yassine Ait Mohamed
wiley +1 more source