Results 51 to 60 of about 10,861 (121)

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

open access: yesOptimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja   +3 more
wiley   +1 more source

Moments, sums of squares, and tropicalization

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman   +4 more
wiley   +1 more source

Monotonicity of functionals associated to product measures via their Fourier transform and applications

open access: yesMathematika, Volume 71, Issue 4, October 2025.
Abstract Let μ$\mu$ be a probability measure on R$\mathbb {R}$. We give conditions on the Fourier transform of its density for functionals of the form H(a)=∫Rnh(⟨a,x⟩)μn(dx)$H(a)=\int _{\mathbb {R}^n}h(\langle a,x\rangle)\mu ^n(dx)$ to be Schur monotone. As applications, we put certain known and new results under the same umbrella, given by a condition
Andreas Malliaris
wiley   +1 more source

Random walk on sphere packings and Delaunay triangulations in arbitrary dimension

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We prove that random walks on a family of tilings of d$d$‐dimensional Euclidean space, with a canonical choice of conductances, converge to Brownian motion modulo time parameterization. This class of tilings includes Delaunay triangulations (the dual of Voronoi tessellations) and sphere packings.
Ahmed Bou‐Rabee, Ewain Gwynne
wiley   +1 more source

Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity

open access: yesElectronic Journal of Differential Equations, 2018
We study a singularly perturbed PDE with cubic nonlinearity depending on a complex perturbation parameter $\epsilon$. This is a continuation of the precedent work [22] by the first author.
Alberto Lastra, Stephane Malek
doaj  

Gaussian Transforms Modeling and the Estimation of Distributional Regression Functions

open access: yesEconometrica, Volume 93, Issue 5, Page 1885-1913, September 2025.
We propose flexible Gaussian representations for conditional cumulative distribution functions and give a concave likelihood criterion for their estimation. Optimal representations satisfy the monotonicity property of conditional cumulative distribution functions, including in finite samples and under general misspecification.
Richard H. Spady, Sami Stouli
wiley   +1 more source

Parametric Borel summability for linear singularly perturbed Cauchy problems with linear fractional transforms

open access: yesElectronic Journal of Differential Equations, 2019
We consider a family of linear singularly perturbed Cauchy problems which combines partial differential operators and linear fractional transforms. This work is the sequel of a study initiated in [17].
Alberto Lastra, Stephane Malek
doaj  

Application of the Laplace-Borel transformation to the representation of analytical solutions of Duffing's equation [PDF]

open access: yes
Various features of the solutions of Duffing's equation are described using a representation of the solutions in the Laplace-Borel transform domain.
Tobak, M., Truong, K. V., Unal, Aynur
core   +1 more source

Local spectral theory for subordinated operators: The Cesàro operator and beyond

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract We study local spectral properties for subordinated operators arising from C0$C_0$‐semigroups. Specifically, if T=(Tt)t⩾0$\mathcal {T}=(T_t)_{t\geqslant 0}$ is a C0$C_0$‐semigroup acting boundedly on a complex Banach space and Hν=∫0∞Ttdν(t)$$\begin{equation*} \mathcal {H}_\nu = \int _{0}^{\infty } T_t\; d\nu (t) \end{equation*}$$is the ...
Eva A. Gallardo‐Gutiérrez   +1 more
wiley   +1 more source

Regularity of the SLE4 uniformizing map and the SLE8 trace

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We show that the modulus of continuity of the SLE4${\rm SLE}_4$ uniformizing map is given by (logδ−1)−1/3+o(1)$(\log \delta ^{-1})^{-1/3+o(1)}$ as δ→0$\delta \rightarrow 0$. As a consequence of our analysis, we show that the Jones–Smirnov conditions for conformal removability (with quasihyperbolic geodesics) do not hold for SLE4${\rm SLE}_4 ...
Konstantinos Kavvadias   +2 more
wiley   +1 more source

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