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arXiv:2512.05743v3 Announce Type: replace Abstract: This paper investigates an elliptic MEMS-Type equation with Henon and external pressure terms: Delta u = lambda|x|^alpha / u^p +...
arXiv:2512.12862v4 Announce Type: replace Abstract: We study finite dimensional quantum systems with arbitrary collapse events, establishing, under no-information-erasure conditions, a structural no-go for operational irreversibility...
arXiv:2512.13624v2 Announce Type: replace Abstract: We consider Bernoulli percolation on $\mathbb Z^d$ with $d>6$. We prove an up-to-constant estimate for the critical two-point function restricted...
arXiv:2512.14016v2 Announce Type: replace Abstract: We study the smallest area $A(M,g)$ of a 2-dimensional stationary integral varifold in a closed Einstein 4-manifold $(M^4,g)$ with $Ric_g...
arXiv:2512.19558v2 Announce Type: replace Abstract: We show that a large class of non-abelian monoidal categories can be realized as subcategories of tilting objects in abelian...
arXiv:2512.24732v2 Announce Type: replace Abstract: The classical quasi-shuffle algebra for multiple zeta values have a well-known Hopf algebra structure. Recently, the shuffle algebra for multiple...
arXiv:2601.00034v2 Announce Type: replace Abstract: This paper concerns the large-time behavior of perturbations around a time-periodic solution to the Navier-Stokes-Fourier system in the three-dimensional whole...
arXiv:2601.06558v2 Announce Type: replace Abstract: Recovering a sparse signal from outlier-contaminated measurements is a fundamental challenge in many applications. While existing algorithms predominantly address scenarios...
arXiv:2601.13071v2 Announce Type: replace Abstract: In this paper, we establish the non-abelian Hodge correspondence over compact K\"ahler spaces with Kawamata log terminal (klt) singularities as...
arXiv:2601.13432v2 Announce Type: replace Abstract: We show that the homotopy type of the independence complex of the generalized Mycielskian of a graph $G$ is determined...
arXiv:2601.15667v3 Announce Type: replace Abstract: We formulate a local smoothing conjecture for bilinear Fourier integral operators in every dimension $d \ge 2,$ derived from the...
arXiv:2601.16247v2 Announce Type: replace Abstract: We construct bisymmetric, strictly increasing binary operations on real intervals which are not continuous. This answers a natural question in...
arXiv:2601.19705v2 Announce Type: replace Abstract: In this paper, we explore the high-frequency properties of eigenfunctions of point perturbations of the Laplacian on a compact Riemannian...
arXiv:2602.03897v2 Announce Type: replace Abstract: We calculate the mechanical response $r(x,t$) of an initially quiescent semi-infinite homogeneous medium to a pulse applied at the origin,...
arXiv:2602.08506v2 Announce Type: replace Abstract: Linear viscoelasticity is universally described by relaxation functions, which are continuous in relaxation times. Yet experimentally, measurements are necessarily discrete...
arXiv:2602.10721v2 Announce Type: replace Abstract: In this paper, we consider a once-reinforced random walk on the half-line, and give the limiting behaviors of all the...
arXiv:2602.10862v2 Announce Type: replace Abstract: We give an alternative proof of a result of Miyazaki and Yasuhara that there exists links that are not smoothly...
arXiv:2602.13652v2 Announce Type: replace Abstract: A speedup, like a time change in discrete time dynamics, is a way of moving faster through the orbits of...
arXiv:2602.17735v2 Announce Type: replace Abstract: We revisit the golden sieve, a self-referential deletion process on increasing sequences of positive integers introduced by the author in...
arXiv:2602.19325v2 Announce Type: replace Abstract: The state of the art in solving nonconvex nonsmooth games under uncertainty remains in its infancy. Existing studies primarily rely...
arXiv:2602.21427v2 Announce Type: replace Abstract: We study the total cut complexes and their Alexander duals. The homotopy type of these complexes is calculated for de...
arXiv:2602.23144v3 Announce Type: replace Abstract: We investigate variational problems in quantum thermodynamics at positive temperature, in which admissible states are constrained by prescribed outcomes of...
arXiv:2602.23282v2 Announce Type: replace Abstract: A finite set $ S \subset \mathbb{R} $ is called a Sidon set if all sums $ x+y $ with...
arXiv:2603.01368v2 Announce Type: replace Abstract: Given a labelled tournament on $[n]$, \emph{inverting} a vertex subset $X$ means reversing every edge with both endpoints in $X$....