Results 121 to 130 of about 7,736 (267)
Canadian Journal of Statistics, EarlyView.Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
wiley +1 more source
Systems of equations in differentials with generalised derivatives of continuous functions
Журнал Белорусского государственного университета: Математика, информатикаHerein, we investigate systems of nonautonomous differential equations with generalised coefficients using the algebra of new generalised functions. We consider a system of nonautonomous differential equations with generalized coefficients as a system of
Анастасия Игоревна Жук +1 more
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
On differentiably simple algebras [PDF]
Pacific Journal of Mathematics, 1970 openaire +2 more sources
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
wiley +1 more source
Polynomials Associated with Dihedral Groups
Symmetry, Integrability and Geometry: Methods and Applications, 2007 There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives.
Charles F. Dunkl
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Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Differential-algebraic equations
Scholarpedia, 2008 Stephen L. Campbell +2 more
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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Clinical Pharmacology &Therapeutics, EarlyView.The minimal anticipated biological effect level (MABEL) approach to first‐in‐human (FIH) dose calculation can lead to long dose‐escalation periods before observing clinical activity. We used a novel ex vivo MABEL approach to calculate the FIH starting dose for forimtamig, a T‐cell bispecific antibody under investigation for the treatment of relapsed ...
Thomas E. Kraft +16 more
wiley +1 more source