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arXiv:2603.06456v1 Announce Type: new Abstract: We provide simple ``left-inverse characterizations'' of the recently introduced singularity invariants $c(Z)$, $w(Z)$, and ${\rm HRH}(Z)$ of an equidimensional variety...
arXiv:2603.06457v1 Announce Type: new Abstract: We give examples of K3 surfaces over $\mathbb{Q}$ of degree $10$ whose geometric Picard group has rank~$1$. These K3 surfaces...
arXiv:2603.06458v1 Announce Type: new Abstract: We investigate the consequences of timelike sectional curvature bounds in Lorentzian length spaces for the existence and structure of the...
arXiv:2603.06468v1 Announce Type: new Abstract: In this article, we consider a generalisation of the spatial Muller's ratchet introduced by Foutel-Rodier and Etheridge. This particle system...
arXiv:2603.06475v1 Announce Type: new Abstract: Ruelle gave an explicit second-order expansion at $c=0$ of the Hausdorff dimension of the Julia set of the quadratic family...
arXiv:2603.06478v1 Announce Type: new Abstract: The spatial Muller's ratchet is a model introduced by Foutel-Rodier and Etheridge to study the impact of cooperation and competition...
arXiv:2603.06483v1 Announce Type: new Abstract: In this paper we combine methods from additive combinatorics and Diophantine geometry to study the generalised sum-product phenomenon in algebraic...
arXiv:2603.06489v1 Announce Type: new Abstract: The coverage depth problem in DNA data storage is about computing the expected number of reads needed to recover all...
arXiv:2603.06491v1 Announce Type: new Abstract: In this paper we consider the operad of holomorphic disk embeddings of the unit disk $\mathbb D \subset \mathbb C$....
arXiv:2603.06498v1 Announce Type: new Abstract: In this paper, we consider the near-critical dimer model in the setup of isoradial superpositions with Temperleyan boundary conditions. We...
arXiv:2603.06514v1 Announce Type: new Abstract: We study a continuum model for stochastic reinforcement learning in repeated market entry games. Starting from a discrete-time microscopic learning...
arXiv:2603.06519v1 Announce Type: new Abstract: We investigate the nonlinear heat-diffusion equation \( C(u)\,\frac{\partial u}{\partial t} = \frac{\partial}{\partial x}\!\left( K(u)\,\frac{\partial u}{\partial x} \right) \), where \(...
arXiv:2603.06528v1 Announce Type: new Abstract: We prove that embedded infinite plane triangulations in ergodic scale-free environments are close to their circle packing and Riemann uniformization...
arXiv:2603.06532v1 Announce Type: new Abstract: This note aims to continue our study about the applications of Poisson quasi-Nijenhuis geometry to the theory of classical completely...
arXiv:2603.06534v1 Announce Type: new Abstract: Coded caching (CC) can transform cache memory at network devices into an active communication resource. Prior studies have shown that...
arXiv:2603.06535v1 Announce Type: new Abstract: We show that the geometric and homological finiteness properties of group pairs are invariant under a suitable notion of quasi-isometry...
arXiv:2603.06553v1 Announce Type: new Abstract: In this short note, we settle a problem posed by Wickstead in ~\cite{W:24}, arising from the study of the Riesz...
arXiv:2603.06554v1 Announce Type: new Abstract: For each integer $n\ge 2$, we construct infinitely many $n$-component Brunnian links of 3-balls in $S^4$. Our main tool is...
arXiv:2603.06574v1 Announce Type: new Abstract: We introduce and analyze a broad class of continuous directed polymers in $\mathbb{R}^d$ driven by Gaussian environments that are white...
arXiv:2603.05508v1 Announce Type: cross Abstract: In this paper we develop a data-driven approach for marking nonblocking supervisory control of discrete-event systems (DES). We consider a...
arXiv:2603.05523v1 Announce Type: cross Abstract: Predicting the occurrence of transitions in the qualitative dynamics of many natural systems is crucial, yet it remains a challenging...
arXiv:2603.05527v1 Announce Type: cross Abstract: Sampling molecular conformations from the Boltzmann distribution is essential for computational chemistry, but iterative diffusion methods are prohibitively slow. Drifting...
arXiv:2603.05559v1 Announce Type: cross Abstract: Decision makers exploiting photonic chaotic dynamics obtained by semiconductor lasers provide an ultrafast approach to solving multi-armed bandit problems by...
arXiv:2603.05579v1 Announce Type: cross Abstract: Railcar shunting is a core planning task in freight railyards, where yard planners need to disassemble and reassemble groups of...