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arXiv:2603.00836v2 Announce Type: replace Abstract: Kanade explored the construction of modular companions to $q$-series identities, using the asymptotics of Nahm sums, and Mizuno [Ramanujan J.\...
arXiv:2603.01793v2 Announce Type: replace Abstract: We construct infinite time bubble tower solutions to the critical wave maps equation taking values in the two-sphere. More precisely,...
arXiv:2603.01817v2 Announce Type: replace Abstract: We prove the quantum unique ergodicity (QUE) conjecture of Rudnick and Sarnak for the sequence of Pitale lifts, which are...
arXiv:2603.01967v2 Announce Type: replace Abstract: A graph is perfectly divisible if for each of its induced subgraph $H$, $V(H)$ can be partitioned into $A$ and...
arXiv:2603.02381v2 Announce Type: replace Abstract: Inspired by the work of Cossetti and D'Arca [CD25], we show that the general weighted $L^{p}$-Hardy type inequalities [CD25, Theorems...
arXiv:2603.03156v2 Announce Type: replace Abstract: This is a survey article on the twisted dynamical zeta functions of Ruelle and Selberg and the Fried's conjecture. It...
arXiv:2603.03228v2 Announce Type: replace Abstract: We construct the Extended Real Line with Reentry (ERI), a quotient of the extended real line [-infinity, +infinity] obtained by...
arXiv:2603.03395v2 Announce Type: replace Abstract: We introduce a concept of asymptotic mean of digits (symbols) in the $Q_s$-representation of a real number, that is a...
arXiv:2603.03396v2 Announce Type: replace Abstract: We study topological, metric and fractal properties of set of numbers $[0;1]$ with given asymptotic mean of digits in their...
arXiv:2603.03399v2 Announce Type: replace Abstract: In the paper we describe some properties of function $$ y=r(x)=\lim_{n\to\infty}\frac{1}{n}\sum^{\infty}_{k=1}\alpha_k(x), \text{ where } x=\sum^{\infty}_{k=1}\alpha_k(x)4^{-k} $$ of $4$-adic digits asymptotic...
arXiv:2603.03425v2 Announce Type: replace Abstract: The cosmohedron was recently proposed as a polytope underlying the cosmological wavefunction for $\text{Tr}(\Phi^3)$ theory. Its faces were conjectured to...
arXiv:2603.03629v2 Announce Type: replace Abstract: We consider deterministic particle dynamics with time evolving weights and their associated Kolmogorov equation and mean-field equation. We prove existence...
arXiv:2603.03723v2 Announce Type: replace Abstract: Analog error correction codes have been proposed for analog in-memory computing on resistive crossbars, which can accelerate vector-matrix multiplication for...
arXiv:2603.04060v2 Announce Type: replace Abstract: The small finitistic dimension fPD$(R)$ of a ring $R$ is defined to be the supremum of projective dimensions of $R$-modules...
arXiv:2310.04508v2 Announce Type: replace-cross Abstract: I present an unbiased method of mapping particles to distribution functions and vice versa. This method alone defines the canonical...
arXiv:2404.03759v3 Announce Type: replace-cross Abstract: In this work, we treat the problem of multi-task submodular optimization from the perspective of local distributional robustness within the...
arXiv:2405.18995v2 Announce Type: replace-cross Abstract: In this paper, we address the problem of finding the best ergodic or Birkhoff averages in the mean ergodic theorem...
arXiv:2406.14777v3 Announce Type: replace-cross Abstract: We define an online learning and optimization problem with discrete and irreversible decisions contributing toward a coverage target. In each...
arXiv:2407.05634v3 Announce Type: replace-cross Abstract: We provide a complete solution to the problem of infinite quantum signal processing for the class of Szeg\H{o} functions, which...
arXiv:2502.02553v4 Announce Type: replace-cross Abstract: Universal fault-tolerant quantum computation requires overcoming the Eastin--Knill theorem on quantum error correction (QEC) codes that protect information from noise....
arXiv:2502.05360v3 Announce Type: replace-cross Abstract: This paper demonstrates that when a shallow neural network with a Lipschitz continuous activation function is trained using either empirical...
arXiv:2502.11682v2 Announce Type: replace-cross Abstract: Strong Differential Privacy (DP) and Optimization guarantees are two desirable properties for a method in Federated Learning (FL). However, existing...
arXiv:2503.04876v4 Announce Type: replace-cross Abstract: Given two populations from which independent binary observations are taken with parameters $p_1$ and $p_2$ respectively, estimators are proposed for...
arXiv:2506.03862v3 Announce Type: replace-cross Abstract: We derive a local, crossing symmetric dispersion relation (CSDR) for 2-2 scattering amplitudes with a parametric ambiguity motivated by string...