Stability phenomena for Kac-Moody groups
arXiv:2602.08175v2 Announce Type: replace Abstract: We show that a canonical procedure of extending generalized Dynkin diagrams gives rise to families of Kac-Moody groups that satisfy...
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arXiv:2602.08175v2 Announce Type: replace Abstract: We show that a canonical procedure of extending generalized Dynkin diagrams gives rise to families of Kac-Moody groups that satisfy...
arXiv:2602.09143v2 Announce Type: replace Abstract: We investigate the following general problem, closely related to the problem of isomorphic classification of Banach spaces $C(K)$ of continuous...
arXiv:2602.10760v3 Announce Type: replace Abstract: Covariate adaptive randomization (CAR) procedures are extensively used to reduce the likelihood of covariate imbalances occurring in clinical trials. In...
arXiv:2602.10782v2 Announce Type: replace Abstract: When particles on a line collide, they may coalesce into one. Such systems arise in the voter model, where boundaries...
arXiv:2602.11559v3 Announce Type: replace Abstract: Let $G$ be a simple, simply connected, simply laced algebraic group. We construct a monoidal category of representations of the...
arXiv:2602.13183v2 Announce Type: replace Abstract: When particles on a line collide, they may annihilate - both are destroyed. Computing exact annihilation probabilities has been difficult...
arXiv:2602.13435v2 Announce Type: replace Abstract: We introduce a new obstruction to the existence of a universal $0$-cycle on a smooth projective complex variety. As an...
arXiv:2602.14137v2 Announce Type: replace Abstract: In this paper, we investigated the solvability of G-SVIEs under two cases: time-varying Lipschitz coefficients and integral-Lipschitz coefficients. Using the...
arXiv:2602.14483v2 Announce Type: replace Abstract: In this paper, we present three families of modular Nahm sums for symmetrizable matrices with arbitrary rank $r\geq 2$ of...
arXiv:2602.14683v2 Announce Type: replace Abstract: We study majorization-minimization methods for nonnegative tensor decompositions under the $\beta$-divergence family, focusing on nonnegative CP and Tucker models. Our...
arXiv:2602.15497v2 Announce Type: replace Abstract: The group isomorphism problem asks whether two finite groups given by their Cayley tables are isomorphic or not. Although there...
arXiv:2602.15636v2 Announce Type: replace Abstract: We investigate the large-scale geometry of graph braid groups \(\bbB_n(\graf)\), realized as the fundamental groups of the discrete configuration spaces...
arXiv:2602.15754v2 Announce Type: replace Abstract: The non-empty finite subsets of a multiplicatively written monoid form a monoid in their own right, and so do the...
arXiv:2602.16096v2 Announce Type: replace Abstract: In this paper, we study the binomial sum $S_{n}(q):=% \overset{n}{\underset{k=0}{\sum }}a_{k}\binom{n}{k}\left( 1-q\right) ^{k}q^{n-k}$ for a given sequence $\left( a_{n}\right) $...
arXiv:2602.16761v2 Announce Type: replace Abstract: In \cite{TallaWaffo2025arxiv2511.02843} we introduced even polynomials $\Xi_n,\Lambda_n\in\mathbb{Q}[x]$ arising from integral representations of $\beta(2n)/\pi^{2n-1}$ and $\zeta(2n+1)/\pi^{2n}$. In this paper we give...
arXiv:2602.18682v2 Announce Type: replace Abstract: We study homotopy decompositions of the classifying spaces $BG$ of compact connected Lie groups obtained by (relative) fiber-cofiber construction. Given...
arXiv:2602.19175v2 Announce Type: replace Abstract: We prove a quantitative stability of Kantorovich potentials on metric measure spaces with lower Ricci curvature bound, thereby confirming a...
arXiv:2602.20007v2 Announce Type: replace Abstract: I--MR charts commonly estimate the process standard deviation $\sigma$ via the span-2 average moving range divided by the unbiasing constant...
arXiv:2602.20043v2 Announce Type: replace Abstract: When identical particles on a line collide, they merge and continue as one. Exact determinantal formulas have long been available...
arXiv:2602.20640v2 Announce Type: replace Abstract: Functional covariates arise in many scientific and engineering applications when model inputs take the form of time-dependent or spatially distributed...
arXiv:2602.20895v2 Announce Type: replace Abstract: We consider the half-wave maps equation $$ \partial_t \mathbf{u} = \mathbf{u} \times |D| \mathbf{u} $$ for $\mathbf{u} : \mathbb{R} \times...
arXiv:2602.20964v2 Announce Type: replace Abstract: We show that, conditional on Zywina's effective version of the Serre uniformity conjecture, there is a natural way to parameterize...
arXiv:2602.21047v2 Announce Type: replace Abstract: It is well known that the rational torsion of an abelian variety defined over a number field injects into the...
arXiv:2602.21318v2 Announce Type: replace Abstract: In this paper, degree-based topological indices play a key role in the structural analysis of graphs in this paper and...