Results 31 to 40 of about 747,819 (103)
Repelled Point Processes With Application to Numerical Integration
ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat +3 more
wiley +1 more source
This paper develops a two-variable truncated-exponential-based Hahn–Appell polynomial family of order r in quantum q-calculus, generated by A(t)(1−ηtr)−1eqwt(ζt), where A(t) is a normalized determining function and eqwt denotes the Hahn-type q ...
Waseem Ahmad Khan +3 more
doaj +1 more source
Strength and partition rank under limits and field extensions
Abstract The strength of a multivariate homogeneous polynomial is the minimal number of terms in an expression as a sum of products of lower‐degree homogeneous polynomials. Partition rank is the analogue for multilinear forms. Both ranks can drop under field extensions, and both can jump in a limit.
Arthur Bik +3 more
wiley +1 more source
Cartwright–Sturmfels Hilbert schemes
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley +1 more source
The Umbral-Algebraic Approach to Study the General Appell–λ Polynomials
We introduce and comprehensively study a new class of hybrid special polynomials in three variables, which we call the three-variable general-Appell–λ polynomials, which are denoted as λnPA(u,v,w:β).
Waseem Ahmad Khan +5 more
doaj +1 more source
On the quasi-monomiality of the $α$- and $δ$-invariants
In this paper, we show that for any projective klt pair $(X,Δ)$ over an algebraically closed field of characteristic \(0\) and any big $\mathbb{Q}$-Cartier $\mathbb{Q}$-divisor $L$ on $X$, the invariants $α(X,Δ,L)$ and $δ(X,Δ,L)$ are computed by quasi-monomial valuations, without any uncountability assumption on the base field.
Kim, Donghyeon, Lee, Dae-Won
openaire +2 more sources
A birational description of the minimal exponent
Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley +1 more source
Rationality problem for quasi-monomial actions
Survey article. RIMS Kokyuroku Bessatsu B51 (2014), 203-227.
openaire +2 more sources
The asymptotic Mahler measure of Gaussian periods
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +2 more
wiley +1 more source
Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights
ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei +5 more
wiley +1 more source

