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arXiv:2602.12190v1 Announce Type: new Abstract: We analyze increasing propagation of chaos in the high temperature regime of a disordered mean-field model, the Hopfield model. We...
arXiv:2602.12191v1 Announce Type: new Abstract: The higher connectivity at infinity for mapping class groups of surfaces with boundary components and punctures is understood with the...
arXiv:2602.12208v1 Announce Type: new Abstract: Let $p$ be a prime number, $F$ a field of characteristic $p$, and $G$ a cyclic group of order $q...
arXiv:2602.12211v1 Announce Type: new Abstract: The canonical projections of the unit spheres are generalized to special generic maps and round fold maps, for example. They...
arXiv:2602.12213v1 Announce Type: new Abstract: We use explicit class field theory of rational function fields to prove a dynamical criterion for a polynomial of the...
arXiv:2602.12214v1 Announce Type: new Abstract: We introduce and study a novel generalization of the classical Knapsack Problem (KP), called the Colored Knapsack Problem (CKP). In...
arXiv:2602.12217v1 Announce Type: new Abstract: Let $f(z)=\sum_{n\ge0}a_n z^n$ be a transcendental entire function and write $M(r,f):=\max_{|z|=r}|f(z)|$ and $\mu(r,f):=\max_{n\ge0}|a_n|\,r^n$. A problem of Erd\H{o}s asks for the...
arXiv:2602.12219v1 Announce Type: new Abstract: In this paper, we prove an analogue of the Erd\H{o}s-Ko-Rado theorem intersecting families of subspaces in projective Hjelmslev geometries over...
arXiv:2602.12220v1 Announce Type: new Abstract: Finite-length analysis is critical for bringing coded caching closer to practical deployment. In this work, we study the design of...
arXiv:2602.12226v1 Announce Type: new Abstract: We introduce a new numerical invariant for special, reduced, alternating diagrams of oriented knots and links, defined in terms of...
arXiv:2602.12230v1 Announce Type: new Abstract: For a closed negatively curved surface $(X,g)$ the flat trace of the geodesic Koopman operators $V_g^\tau f=f\circ G_g^\tau$ is the...
arXiv:2602.12239v1 Announce Type: new Abstract: Objects $T$ whose exponential functor $(-)^T$ admits a right adjoint $(-)_T$ are known under different names. The fact that they...
arXiv:2602.12257v1 Announce Type: new Abstract: We study Langevin dynamics with noise projected onto the directions orthogonal to an isometric group action. This mathematical model is...
arXiv:2602.12261v1 Announce Type: new Abstract: For $\mu$ an edge percolation measure on the infinite square lattice, let $\mu_{\textit{hp}}$ (respectively, $\mu^*_{hp}$) denote its marginal (respectively, the...
arXiv:2602.12264v1 Announce Type: new Abstract: We study the optimal transmission and scheduling policy for a transmitter (source) communicating with two gossiping receivers aiming at tracking...
arXiv:2602.12273v1 Announce Type: new Abstract: We propose an optimization-informed deep neural network approach, named iUzawa-Net, aiming for the first solver that enables real-time solutions for...
arXiv:2601.01982v1 Announce Type: cross Abstract: Large language models (LLMs) excel at natural language tasks but remain brittle in domains requiring precise logical and symbolic reasoning....
arXiv:2602.11206v1 Announce Type: cross Abstract: Spiking Neural Networks (SNNs) offer energy-efficient, biologically plausible computation but suffer from non-differentiable spike generation, necessitating reliance on heuristic surrogate...
arXiv:2602.11246v1 Announce Type: cross Abstract: We introduce a mathematical framework for the linear representation hypothesis (LRH), which asserts that intermediate layers of language models store...
arXiv:2602.11250v1 Announce Type: cross Abstract: Consider $n$ points generated uniformly at random in the unit square, and let $L_n$ be the length of their optimal...
arXiv:2602.11260v1 Announce Type: cross Abstract: Nevanlinna-Pick interpolation and moment problems use the analytic structures provided by causality in order to provide rigorous bounds on smeared...
arXiv:2602.11288v1 Announce Type: cross Abstract: We derive a novel two-field four-dimensional integrable field theory (IFT) from 6d holomorphic Chern-Simons theory on twistor space. The four-dimensional...
arXiv:2602.11312v1 Announce Type: cross Abstract: We construct a new nonlinear deformed Schr\"odinger structure using a nonlinear derivative operator which depends on a parameter $q$. This...
arXiv:2602.11332v1 Announce Type: cross Abstract: In recent years, artificial neural networks have been increasingly studied as feedback controllers for guidance problems. While effective in complex...