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arXiv:2603.04055v1 Announce Type: new Abstract: In this paper, we present a novel semi-implicit numerical scheme for the stochastic Cahn--Hilliard equation driven by multiplicative noise. By...
arXiv:2603.04060v1 Announce Type: new Abstract: The small finitistic dimension fPD$(R)$ of a ring $R$ is defined to be the supremum of projective dimensions of $R$-modules...
arXiv:2603.04063v1 Announce Type: new Abstract: An eigenvalue $\lambda$ of a signed graph $S$ of order $n$ is called a main eigenvalue if its eigenspace is...
arXiv:2603.04065v1 Announce Type: new Abstract: In modern e-commerce and service operations, firms must jointly manage inventory replenishment and real-time order fulfillment to maximize profit under...
arXiv:2603.04067v1 Announce Type: new Abstract: We investigate the relationship between the Eklof-Mekler-Shelah Construction Principle for a variety of algebras $\mathbf{V}$ and the question of superstability...
arXiv:2603.04068v1 Announce Type: new Abstract: We introduce the bilinear Nevo-Thangavelu spherical means on the Heisenberg group $\mathbb{H}^n,$ and derive $L^{p_1}(\mathbb{H}^n) \times L^{p_2}(\mathbb{H}^n) \to L^{p}(\mathbb{H}^n)$ estimates...
arXiv:2603.04076v1 Announce Type: new Abstract: We study the empirical spectral distribution of the normalized Laplacian of linear preferential attachment graphs in the Barab{\'a}si-Albert regime with...
arXiv:2603.04078v1 Announce Type: new Abstract: In this paper, we consider the problem of minimizing a smooth function on a Riemannian manifold and present a Riemannian...
arXiv:2603.04086v1 Announce Type: new Abstract: We establish unweighted Hardy-type inequalities on step-two Carnot groups with one-dimensional vertical layer, with explicit lower bounds for the optimal...
arXiv:2603.04088v1 Announce Type: new Abstract: We study the Wasserstein gradient flow of semi-discrete energies in the space of probability measures, that is functionals depending on...
arXiv:2603.04095v1 Announce Type: new Abstract: The use of stochastic differential equations in multi-objective optimization has been limited, in practice, by two persistent gaps: incomplete stability...
arXiv:2603.04096v1 Announce Type: new Abstract: We study the orbits of the solutions to the Markoff-type equation $$X^2 + Y^2 + Z^2 = AX + BY...
arXiv:2603.04100v1 Announce Type: new Abstract: In this short note, we present a trick to ensure that the Jacobian of a given smooth curve has strictly...
arXiv:2603.04104v1 Announce Type: new Abstract: This paper establishes the well-posedness of stochastic partial differential equations with reflection in an infinite-dimensional ball, within the fully local...
arXiv:2603.04121v1 Announce Type: new Abstract: We prove optimal regularity results for solutions to linear kinetic Fokker-Planck equations in bounded domains. Our contributions are two-fold. First,...
arXiv:2603.04137v1 Announce Type: new Abstract: We obtain some properties of the q-Narayana polynomials for q=-1 and compare them to corresponding properties for q=1.
arXiv:2603.04153v1 Announce Type: new Abstract: We develop a non-abelian, gauge-theoretic framework for the Schwarzian derivative and for second-order differential equations on Riemann surfaces. As applications,...
arXiv:2603.04164v1 Announce Type: new Abstract: We obtain sharp estimates for functions harmonic with respect to $x$-dependent rectilinear stable processes in balls, under the assumption that...
arXiv:2603.04167v1 Announce Type: new Abstract: One of the emerging problems in algebraic geometry is to characterize the affine $n$-space $\mathbb{A}^n$ among smooth affine schemes up...
arXiv:2603.04172v1 Announce Type: new Abstract: The Bayesian and Akaike information criteria aim at finding a good balance between under- and over-fitting. They are extensively used...
arXiv:2603.04174v1 Announce Type: new Abstract: A central objective in Ramsey theory is determining whether restricted families of discrete structures necessarily contain substantially larger homogeneous substructures,...
arXiv:2603.04183v1 Announce Type: new Abstract: In this paper, we study evolutive Hamilton Jacobi equations with Hamiltonians that are discontinuous in time, posed on a simple...
arXiv:2603.04188v1 Announce Type: new Abstract: Epistemic uncertainty arises in lack of complete knowledge about the state of a system. There are multiple mathematical frameworks for...
arXiv:2603.04190v1 Announce Type: new Abstract: We prove a converse Lyapunov theorem for boundedness of reachability sets for a general class of control systems whose flow...