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arXiv:2502.17853v2 Announce Type: replace Abstract: Stochastic branching algorithms provide a useful alternative to grid-based schemes for the numerical solution of partial differential equations, particularly in...
arXiv:2503.01240v2 Announce Type: replace Abstract: In this paper, we introduce a Fourier-type formalism on non-commutative spaces. As a result, we obtain two versions of Hormander-Mikhlin...
arXiv:2503.01587v2 Announce Type: replace Abstract: The State-Dependent Riccati Equation (SDRE) approach is extensively utilized in nonlinear optimal control as a reliable framework for designing robust...
arXiv:2503.11484v3 Announce Type: replace Abstract: Stochastic and (distributionally) robust optimization problems often become computationally challenging as the number of scenarios or data points increases. Scenario...
arXiv:2503.14101v4 Announce Type: replace Abstract: In this paper, we introduce $\mathcal{D}^+_J$, a generalization of $\partial\bar{\partial}$ operator on higher dimensional almost K\"{a}hler manifolds. Using the $\mathcal{D}^+_J$...
arXiv:2503.21287v4 Announce Type: replace Abstract: Let $(X,\mathcal{E})$ be a hypergraph. A support is a graph $Q$ on $X$ such that for each $E\in\mathcal{E}$, the subgraph...
arXiv:2503.21361v2 Announce Type: replace Abstract: This paper considers the problem of detecting adjoint mismatch for two linear maps. To clarify, this means that we aim...
arXiv:2503.22626v3 Announce Type: replace Abstract: We prove that each finite chain in the two-branching countable ultrahomogeneous pseudotree has finite big Ramsey degrees. This is in...
arXiv:2503.23871v2 Announce Type: replace Abstract: We construct a finite-dimensional higher Lie groupoid integrating a singular foliation $\mathcal{F}$, under the mild assumption that the latter admits...
arXiv:2504.00440v3 Announce Type: replace Abstract: We characterize Martin-L\"of randomness and Schnorr randomness in terms of the merging of opinions, along the lines of the Blackwell-Dubins...
arXiv:2504.01977v2 Announce Type: replace Abstract: We construct and give a complete classification of all the differential symmetry breaking operators $\mathbb{D}_{\lambda, \nu}^{N,m}: C^\infty(S^3, \mathcal{V}_\lambda^{2N+1}) \rightarrow C^\infty(S^2,...
arXiv:2504.03286v2 Announce Type: replace Abstract: Given an elliptic curve defined over the field of rational numbers, it is known how its torsion subgroup may grow...
arXiv:2504.04817v2 Announce Type: replace Abstract: We study the robustness of topological phases on aperiodic lattices by constructing *-homomorphisms from the groupoid model to the coarse-geometric...
arXiv:2504.09452v2 Announce Type: replace Abstract: We present an adaptive approximation scheme for jump-diffusion SDEs with discontinuous drift and (possibly) degenerate diffusion. This transformation-based doubly-adaptive quasi-Milstein...
arXiv:2504.10212v3 Announce Type: replace Abstract: The identification of Partial Differential Equations (PDEs) has emerged as a prominent data-driven approach for mathematical modeling and has attracted...
arXiv:2504.10814v4 Announce Type: replace Abstract: We introduce a fast and scalable method for solving quadratic programs with conditional value-at-risk (CVaR) constraints. While these problems can...
arXiv:2504.12510v2 Announce Type: replace Abstract: We provide a unified framework to proving pointwise convergence of sparse sequences, deterministic and random, at the $L^1(X)$ endpoint. Specifically,...
arXiv:2504.14987v3 Announce Type: replace Abstract: Splitting methods have emerged as powerful tools to address complex problems by decomposing them into smaller solvable components. In this...
arXiv:2504.20527v2 Announce Type: replace Abstract: We develop and analyze a method for stochastic simulation optimization based on Gaussian process models within a trust-region framework. We...
arXiv:2504.21740v2 Announce Type: replace Abstract: We study the monodromy representations underlying compact Lagrangian fibrations. In the case where the associated period map is generically immersive,...
arXiv:2504.21791v2 Announce Type: replace Abstract: We study the martingale formulation of the two-dimensional stochastic heat equation (SHE) at criticality. The main theorem proves an exact...
arXiv:2505.00180v2 Announce Type: replace Abstract: We present a correspondence between multiplicity-free, self-dual, fusion rings and a digraph, hypergraph pair $(D,H)$. This correspondence is used to...
arXiv:2505.01241v2 Announce Type: replace Abstract: For a complex finite-dimensional filiform Lie algebra $\mathfrak g$, we first study the bifiltration given by the bracket ideals $[C^k\mathfrak...
arXiv:2505.01672v4 Announce Type: replace Abstract: In this paper, we study the weakest possible conditions for fixed point theorems involving two classes of mappings defined by...