Results 61 to 70 of about 11,521 (168)
On the fractional Laplacian of a function with respect to another function
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14079-14110, December 2024.The theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function. The theory is developed both in the 1‐dimensional setting and in the general n$$ n $$‐dimensional setting.
Arran Fernandez +2 more
wiley +1 more source
Tail probability and singularity of Laplace-Stieltjes transform of a Pareto type random variable [PDF]
, 2015 summary:We give a sufficient condition for a non-negative random variable $X$ to be of Pareto type by investigating the Laplace-Stieltjes transform of the cumulative distribution function.
Nakagawa, Kenji
core +1 more source
A new extended δ‐shock model with the consideration of shock magnitude
Applied Stochastic Models in Business and Industry, Volume 40, Issue 5, Page 1355-1364, September/October 2024.Abstract In this article, a new δ$$ \delta $$‐shock model that takes into account the magnitude of shocks is introduced and studied from reliability perspective. According to the new model, the system breaks down if either a shock after non‐critical shock occurs in a time length less than δ1$$ {\delta}_1 $$ or a shock after a critical shock occurs in a
Hamed Lorvand, Serkan Eryilmaz
wiley +1 more source
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices
Communications on Pure and Applied Mathematics, Volume 77, Issue 9, Page 3785-3840, September 2024.Abstract We consider N×N$N\times N$ non‐Hermitian random matrices of the form X+A$X+A$, where A$A$ is a general deterministic matrix and NX$\sqrt {N}X$ consists of independent entries with zero mean, unit variance, and bounded densities. For this ensemble, we prove (i) a Wegner estimate, that is, that the local density of eigenvalues is bounded by N1+o(
László Erdős, Hong Chang Ji
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9493-9523, August 2024.This paper deals with the probabilistic analysis of a class of compartmental models formulated via a system of linear differential equations with time‐dependent non‐homogeneous terms. For the sake of generality, we assume that initial conditions and rates between compartments are random variables with arbitrary distributions while the source terms ...
Vicente J. Bevia +3 more
wiley +1 more source
Human Brain Mapping, Volume 45, Issue 7, May 2024.Multidimensional MRI combines free gradient waveforms and relaxation encoding for microstructural specificity in complex tissues. We confirm feasibility and robustness of a sparse 2 mm3 whole‐brain in vivo protocol using phantom and healthy individuals, while testing tailored denoising strategies.
Jessica T. E. Johnson +8 more
wiley +1 more source
Performance Analysis of Two Different Types of Waiting Queues with Working Vacations
Journal of Mathematics, Volume 2024, Issue 1, 2024.This work examines a new class of working vacation queueing models that contain regular (original) and retrial waiting queues. Upon arrival, a customer either starts their service instantly if the server is available, or they join the regular queue if the server is occupied. When it is empty, the server departs the system to take a working vacation (WV)
M. Sundararaman +3 more
wiley +1 more source
BICOMPLEX VERSION OF STIELTJES TRANSFORM AND APPLICATIONS
, 2020 . Motivated by the recent developments of the integral transform in bicomplex form, in this paper we derive the formula for bicomplex version of Stieltjes transform, it's inverse and relationship with bicomplex Laplace transform.
Mahesh Puri Goswami +2 more
core
Laplace Transform in Commutative Banach Algebras [PDF]
, 1952 After a brief review of the general theory of commutative complex Banach algebras in Section I, Section II introduces and discusses some important facts about the generalized Laplace-Stieltjes integral.
Dean, Robert Yost
core +1 more source
Measuring the error of dynamic hedging: a Laplace transform approach [PDF]
We compute the expected value and the variance of the discretization error of delta hedging and of other strategies in the presence of proportional transaction costs.
Flavio Angelini, Stefano Herzel
core