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Clark Measures on Bounded Symmetric Domains
Given a bounded symmetric domain D , we study (positive) pluriharmonic functions on D and investigate a possible analogue of the family of Clark...
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Weak convergence of tamed exponential integrators for stochastic differential equations
We prove weak convergence of order one for a class of exponential based integrators for SDEs with non-globally Lipschitz drift. Our analysis covers...
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Existence and uniqueness of solutions for \(\Psi \)-Caputo fractional neutral sequential differential equations on time scales
In this paper, we establish the existence and uniqueness of solutions for a class of initial value problems involving implicit fractional...
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Investigations on uniqueness of meromorphic functions in the k-punctured complex plane
In this paper, we have exhaustively studied the uniqueness of meromorphic function sharing five small functions in k -punctured complex plane, under...
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Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator
In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the...
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Finite time stability analysis for fractional stochastic neutral delay differential equations
In this manuscript, we investigate a fractional stochastic neutral differential equation with time delay, which includes both deterministic and...
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Lattice-Based Polynomial Commitments: Towards Asymptotic and Concrete Efficiency
Polynomial commitments schemes are a powerful tool that enables one party to commit to a polynomial p of degree d , and prove that the committed...
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Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities
We consider the Cauchy problem of the system of nonlinear Schrödinger equations with derivative nonlinearlity. This system was introduced by Colin...
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Super implicit two-step collocation methods for ordinary differential equations
This paper introduces a class of two-step collocation methods for the numerical solution of ordinary differential equations. These methods which are...
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\(C^{1,\alpha }\) regularity for stationary mean-field games with logarithmic coupling
This paper investigates stationary mean-field games (MFGs) on the torus with Lipschitz non-homogeneous diffusion and logarithmic-like couplings. The...
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Active learning for adaptive surrogate model improvement in high-dimensional problems
This paper investigates a novel approach to efficiently construct and improve surrogate models in problems with high-dimensional input and output. In...
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Bayesian optimization with hidden constraints for aircraft design
A challenge in aircraft design optimization is the presence of non-computable, so-called hidden, constraints that do not return a value in certain...
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Adaptive member adding for truss topology optimization: application to elastic design
This paper provides a rigorous and computationally efficient means of identifying compliance-based optimal truss topologies from high-resolution...
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Radiomics incorporating deep features for predicting Parkinson’s disease in 123I-Ioflupane SPECT
Purpose123 I-Ioflupane SPECT is an effective tool for the diagnosis and progression assessment of Parkinson’s disease (PD). Radiomics and deep...
