Results 51 to 60 of about 5,156 (174)
Mixed orthogonality graphs for continuous‐time state space models and orthogonal projections
Journal of Time Series Analysis, Volume 46, Issue 4, Page 692-726, July 2025.In this article, we derive (local) orthogonality graphs for the popular continuous‐time state space models, including in particular multivariate continuous‐time ARMA (MCARMA) processes. In these (local) orthogonality graphs, vertices represent the components of the process, directed edges between the vertices indicate causal influences and undirected ...
Vicky Fasen‐Hartmann, Lea Schenk
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Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
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Harmonic Majorization for Plurisubharmonic Functions.
Interdisciplinary Information Sciences, 1995 Summary: A criterion is given for the existence of harmonic majorants for nonnegative plurisubharmonic functions on the generalized half-plane in \(\mathbb C^n\).
openaire +2 more sources
View‐Dependent Visibility Optimization for Monte Carlo Volume Visualization
Computer Graphics Forum, Volume 44, Issue 2, May 2025.Abstract Compared to classic ray marching‐based approaches, Monte Carlo ray tracing for volume visualization can provide faster frame times through progressive rendering, improved image quality, and allows for advanced illumination models more easily. Techniques such as the view‐dependent optimization of visibility and illumination of important regions,
Nathan Lerzer, Carsten Dachsbacher
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Harmonic balls in Liouville quantum gravity
Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.Abstract Harmonic balls are domains that satisfy the mean‐value property for harmonic functions. We establish the existence and uniqueness of harmonic balls on Liouville quantum gravity (LQG) surfaces using the obstacle problem formulation of Hele–Shaw flow.
Ahmed Bou‐Rabee, Ewain Gwynne
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Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.Various significant problems in physics and astrophysics have been successfully solved using fractional kinetic equations (FKEs) and special functions. This study applies the Elzaki integral transform to FKEs incorporating orthogonal polynomials and their generating functions.
Mulualem Aychluh +4 more
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Subharmonic functions and associated measures in ℝn
Open MathematicsFor subharmonic functions ss in Rn,n≥2,{{\mathbb{R}}}^{n},n\ge 2, there is an associated Radon measure μ\mu that is used to represent ss locally as an integral up to an additive harmonic function. We prove that the total measure μ(R2)\mu ({{\mathbb{R}}}^
Bajunaid Ibtesam
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Optimal Algebras and Novel Solutions of Time‐Fractional (2 + 1) − D European Call Option Model
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.In this article, we analyse the time‐fractional (2 + 1) − D Black–Scholes model for European call options by employing Lie symmetry analysis. We derive the infinitesimal transformations and classify the optimal systems. Furthermore, under the geometric Brownian motion, we reduced the given model to ordinary differential equation (ODE) with integer ...
Gimnitz Simon S. +3 more
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A posteriori error estimates for a coupled piezoelectric model
Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 4, December 2024.Abstract The paper addresses a coupled problem describing piezoelectric effects in an elastic body. In this context, we derive upper bounds for the distance between the exact solution and any approximation within the corresponding energy class of functions that satisfy the boundary conditions.
Ulrich Langer +2 more
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Solvability of a system of totally characteristic equations related to Kahler metrics
Electronic Journal of Differential Equations, 2017 We consider a system of equations composed of a higher order singular partial differential equation of totally characteristic type and several higher order non-Kowalevskian linear equations. This system is a higher order version of a system that arose
Jose Ernie C. Lope, Mark Philip F. Ona
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