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657b4dbba473d04012c5c2108d07d1a0255370769f8fc02ee182c89f2ddb748e | 2026-01-21T00:00:00-05:00 | Squared Bessel processes under nonlinear expectation | arXiv:2509.24481v2 Announce Type: replace Abstract: In this paper, we define the squared G-Bessel process as the square of the modulus of a class of G-Brownian motions and establish that it is the unique solution to a stochastic differential equation. We then derive several path properties of the squared G-Bessel proce... | https://arxiv.org/abs/2509.24481 | Academic Papers | svg |
a737ff28ff41918db04328bc956d42d2fc674f69b40ded08c54273729c2ac39e | 2026-01-21T00:00:00-05:00 | Bounds on the propagation radius in power domination | arXiv:2510.02211v2 Announce Type: replace Abstract: Let $G$ be a graph and let $S \subseteq V(G)$. It is said that $S$ \textit{dominates} $N[S]$. We say that $S$ \textit{monitors} vertices of $G$ as follows. Initially, all dominated vertices are monitored. This step is called the \textit{domination} step. Thereafter, t... | https://arxiv.org/abs/2510.02211 | Academic Papers | svg |
d1f90d77d28f2129e31ae9b10d991c9ad1a0fbb951cba6cb6165c05a6b0b1ddf | 2026-01-21T00:00:00-05:00 | Certain Inequalities for the generalized polar derivative of a polynomial | arXiv:2510.02775v2 Announce Type: replace Abstract: Recently Rather et al. \cite{NT} considered the generalized derivative and the generalized polar derivative and studied the relative position of zeros of generalized derivative and generalized polar derivative with respect to the zeros of polynomial.\\ \indent In this... | https://arxiv.org/abs/2510.02775 | Academic Papers | svg |
ed83fa06b58c114f6d8f4b67db87bfa81ec0e6267069cf54cecb54d96b48ae47 | 2026-01-21T00:00:00-05:00 | Perspectives on Stochastic Localization | arXiv:2510.04460v2 Announce Type: replace Abstract: We survey different perspectives on the stochastic localization process of Eldan, a powerful construction that has had many exciting recent applications in high-dimensional probability and algorithm design. Unlike prior surveys on this topic, our focus is on giving a ... | https://arxiv.org/abs/2510.04460 | Academic Papers | svg |
b80c16c139d1cc6dde34e3c08a8c6d37cc0fd9f8c299841e4958d375484f95fc | 2026-01-21T00:00:00-05:00 | Relaxation of quasi-convex functionals with variable exponent growth | arXiv:2510.04672v3 Announce Type: replace Abstract: We prove a relaxation result for a quasi-convex bulk integral functional with variable exponent growth in a suitable space of bounded variation type. A key tool is a decomposition under mild assumptions of the energy into absolutely continuous and singular parts weigh... | https://arxiv.org/abs/2510.04672 | Academic Papers | svg |
9cea13cbc18be7f4fd1a14a9cbefd5b78948156b1333e8214d6e3eb6c129de97 | 2026-01-21T00:00:00-05:00 | Log-majorizations between quasi-geometric type means for matrices | arXiv:2510.04691v3 Announce Type: replace Abstract: In this paper, for $\alpha\in(0,\infty)\setminus\{1\}$, $p>0$ and positive semidefinite matrices $A$ and $B$, we consider the quasi-extension $\mathcal{M}_{\alpha,p}(A,B):=\mathcal{M}_\alpha(A^p,B^p)^{1/p}$ of several $\alpha$-weighted geometric type matrix means $\ma... | https://arxiv.org/abs/2510.04691 | Academic Papers | svg |
6067cc598b63aba3f48b97bacd83245aae7a7c1c9c45d2710771eed437a53710 | 2026-01-21T00:00:00-05:00 | Locally similar distances and equality of the induced intrinsic distances | arXiv:2510.05574v2 Announce Type: replace Abstract: Let $X$ be a set and $d_1,d_2$ be two distances on $X$. We say that $d_1$ and $d_2$ are locally similar and write $d_1\cong d_2$ if $d_1$ and $d_2$ are topologically equivalent and, for every $a$ in $X$, \[ \lim_{x\to a} \frac{d_2(x,a)}{d_1(x,a)}=1. \] We prove that i... | https://arxiv.org/abs/2510.05574 | Academic Papers | svg |
3ae4a428702814f42c2c4b519de69de35c300118aa4bf22652d6a85d1f5b4702 | 2026-01-21T00:00:00-05:00 | Rearrangements of distributions on integers that minimize variance | arXiv:2510.07899v2 Announce Type: replace Abstract: Which permutations of a probability distribution on integers minimize variance? Let $X$ be a random variable on a set of integers $\{x_1, \dots, x_N\}$ such that $\mathbb{P}(X_i = x_i) = p_i$, $i \in \{1,\dots,N\}$. Let $(p^{(1)}, \dots, p^{(N)})$ be the sequence $(p_... | https://arxiv.org/abs/2510.07899 | Academic Papers | svg |
2bad55b1878444f615b3030e7a3d79337985715f89ee4f15acd63d979438795d | 2026-01-21T00:00:00-05:00 | On covering properties of end and ray spaces | arXiv:2510.10825v3 Announce Type: replace Abstract: We provide new results on combinatorial characterizations of covering properties in end spaces and ray spaces. In particular, we characterize the Lindel\"of degree, the extent, the Rothberger property, $\sigma$-compactness and the Menger property for ray, end and edge... | https://arxiv.org/abs/2510.10825 | Academic Papers | svg |
1b64264455b1134c2713aea9786d9f6ba35a06cc736bc92cb8134bec398ea787 | 2026-01-21T00:00:00-05:00 | Denominators of R-matrices, higher Dorey's rules and a generalization of T-systems for quantum affine algebras | arXiv:2510.10874v2 Announce Type: replace Abstract: We construct a higher level analogue of Dorey's rule, which describe certain surjective morphisms between Kirillov--Reshetikhin (KR) modules over quantum affine algebras. Building on this, we establish a generalized T-system of short exact sequences and prove the deno... | https://arxiv.org/abs/2510.10874 | Academic Papers | svg |
6e3edd77e4f1fe67ac33917631f3c3a5311c399c73302e3783cf6f7fc520fae5 | 2026-01-21T00:00:00-05:00 | A preorder on the set of links with applications to symmetric unions | arXiv:2510.12372v2 Announce Type: replace Abstract: For a link $L$ in the $3$-sphere, the $\pi$-orbifold group $G^\mathrm{orb}(L)$ is defined as a quotient of the link group of $L$. When there exists an epimorphism $G^\mathrm{orb}(L)\to G^\mathrm{orb}(L')$, we denote this by $L\succeq L'$ and explore the relationships ... | https://arxiv.org/abs/2510.12372 | Academic Papers | svg |
8f808ffd37eeed98ef06fb1a6988269aa02933266008379cfd1a2a91166d3167 | 2026-01-21T00:00:00-05:00 | Complete gradient Einstein-type Sasakian manifolds with $\alpha=0$ | arXiv:2510.12441v3 Announce Type: replace Abstract: Catino, Mastrolia, Monticelli, and Rigoli have launched an ambitious program to study known geometric solitons from a unified perspective, which they term Einstein-type manifolds. This framework allows one to treat Ricci solitons, Yamabe solitons, and all of their gen... | https://arxiv.org/abs/2510.12441 | Academic Papers | svg |
4eb063753aebe4c0b800481d6db234deab96a5318645bc2eaebbb72a1130bec5 | 2026-01-21T00:00:00-05:00 | Existence of 3 anti-cocircular truncated M\"obius planes and constructions of strength-4 covering arrays | arXiv:2510.13122v2 Announce Type: replace Abstract: Two projective (affine) planes with the same point sets are orthogoval if the common intersection of any two lines, one from each, has size at most two. The existence of a pair of orthogoval projective planes has been proven and published independently many times. A s... | https://arxiv.org/abs/2510.13122 | Academic Papers | svg |
d29aab3c17519f5e4a5edf57a0fdb89b357fafc8134c0bdebc7812ab7e5f7ca7 | 2026-01-21T00:00:00-05:00 | A central limit theorem for partitions involving generalised divisor functions | arXiv:2510.19740v2 Announce Type: replace Abstract: We define an $f$-restricted partition $p_f(n,k)$ of fixed length $k$ given by the bivariate generating series \begin{align*} Q_f(z,u) \coloneqq 1+\sum_{n=1}^{\infty}\sum_{k=1}^{\infty} p_f(n,k) u^kz^n =\prod_{k=1}^{\infty}(1+uz^k)^{\Delta_f(k)}, \end{align*} where $\D... | https://arxiv.org/abs/2510.19740 | Academic Papers | svg |
46362fdadaf2d3b08ef20ff3a083c619d636ae34b2589746cb9b0771cb9046c6 | 2026-01-21T00:00:00-05:00 | Qualitative Behavior of Solutions to a Forced Nonlocal Thin-Film Equation | arXiv:2510.20289v2 Announce Type: replace Abstract: We study a one-dimensional nonlocal degenerate fourth-order parabolic equation with inhomogeneous forces relevant to hydraulic fracture modeling. Employing a regularization scheme, modified energy/entropy methods, and novel differential inequality techniques, we estab... | https://arxiv.org/abs/2510.20289 | Academic Papers | svg |
f4110be3dc541af460ee58d419081b66bba325035ff3a2f17e08e28073248dbc | 2026-01-21T00:00:00-05:00 | Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations | arXiv:2510.21390v2 Announce Type: replace Abstract: In this work, we develop a method for nonconvex, nonsmooth bi-level optimization and we introduce Binno, a first order method that leverages proximal constructions together with carefully designed descent conditions and variational analysis. Within this framework, Bin... | https://arxiv.org/abs/2510.21390 | Academic Papers | svg |
ab1ebc1deee47e14e8e467902c13eca9d5422860a3c6d348db4c1959f55b9c7a | 2026-01-21T00:00:00-05:00 | Cellular flow control design for mixing based on the least action principle | arXiv:2510.22703v2 Announce Type: replace Abstract: We consider a novel approach for the enhancement of fluid mixing via pure stirring strategies building upon the Least Action Principle (LAP) for incompressible flows. The LAP is formally analogous to the Benamou--Brenier formulation of optimal transport, but imposes a... | https://arxiv.org/abs/2510.22703 | Academic Papers | svg |
11fcd64a205adb77be7e139b648a7ec58345d11d71e4c1f786ead0159ec96ea6 | 2026-01-21T00:00:00-05:00 | Tree-Cotree-Based IETI-DP for Eddy Current Problems in Time-Domain | arXiv:2510.23446v2 Announce Type: replace Abstract: For low-frequency electromagnetic problems, where wave-propagation effects can be neglected, eddy current formulations are commonly used as a simplification of the full Maxwell's equations. In this setup, time-domain simulations, needed to capture transient startup re... | https://arxiv.org/abs/2510.23446 | Academic Papers | svg |
7569268f07e889a7741a6be4d8bb225bf0ba3811dd6a49bed6662145357e441d | 2026-01-21T00:00:00-05:00 | Point Convergence of Nesterov's Accelerated Gradient Method: An AI-Assisted Proof | arXiv:2510.23513v2 Announce Type: replace Abstract: The Nesterov accelerated gradient method, introduced in 1983, has been a cornerstone of optimization theory and practice. Yet the question of its point convergence had remained open. In this work, we resolve this longstanding open problem in the affirmative. The disco... | https://arxiv.org/abs/2510.23513 | Academic Papers | svg |
d7b0fe0abb02a1cdc1837263cadbb63528152eee1650b2daa2b93db2f6332ae9 | 2026-01-21T00:00:00-05:00 | A relationship between the Kauffman bracket skein algebras and Roger-Yang skein algebras of some small surfaces | arXiv:2510.23865v2 Announce Type: replace Abstract: We calculate the Roger-Yang skein algebra of the annulus with two interior punctures, $ \mathcal S^{RY}(\Sigma_{0, 2, 2})$, and show there is a surjective homomorphism from this algebra to the Kauffman bracket skein algebra of the closed torus. Using this homomorphism... | https://arxiv.org/abs/2510.23865 | Academic Papers | svg |
fb38cd24a4a046874b524f6fbdba6681e95cecf9ac947f6a8700f2295a7f2f36 | 2026-01-21T00:00:00-05:00 | The multivariate Hermite method for counting real and complex solutions to polynomial systems | arXiv:2510.23897v2 Announce Type: replace Abstract: This note presents the multivariate Hermite criterion: a practical and powerful algorithm for determining the number of distinct real and complex roots of a zero-dimensional system of polynomials in any finite number of variables. The final section includes an impleme... | https://arxiv.org/abs/2510.23897 | Academic Papers | svg |
dca86e2c983c2236a274596dfb9323fa09ecc067b968b4b0b52ec4b81b1ccec8 | 2026-01-21T00:00:00-05:00 | Additional Congruences for generalized Color Partitions of Hirschhorn and Sellers | arXiv:2510.25250v2 Announce Type: replace Abstract: Let $a_k(n)$ denote the number of partitions of $n$ wherein even parts come in only one color, while the odd parts may be ``colored" with one of $k$ colors, for fixed $k$. In this note, we find some congruences for $a_k(n)$ in the spirit of Ramanujan's congruences. We... | https://arxiv.org/abs/2510.25250 | Academic Papers | svg |
16dcd23e0d79a334833c1a6cabd82b070c0c8b67b287613915b301504b670b46 | 2026-01-21T00:00:00-05:00 | Cubic Polynomials and Sums of Two Squares | arXiv:2510.25492v2 Announce Type: replace Abstract: We establish a lower bound for the frequency with which an irreducible monic cubic polynomial can be expressed as a sum of two squares ($\square_{2}$). This provides a quantitative answer to a question posed by Grechuk (2021) concerning the infinitude of such values. ... | https://arxiv.org/abs/2510.25492 | Academic Papers | svg |
d6af733794f5e2454afaadcb672300b8ae73f71be92cdc873fa211d6e05014ab | 2026-01-21T00:00:00-05:00 | Fine-grained deterministic hardness of the shortest vector problem | arXiv:2511.01626v2 Announce Type: replace Abstract: Let $\gamma$-$\mathsf{GapSVP}_p$ be the decision version of the shortest vector problem in the $\ell_p$-norm with approximation factor $\gamma$, let $n$ be the lattice dimension and $0<\varepsilon\leq 1$. We prove that the following statements hold for infinitely many... | https://arxiv.org/abs/2511.01626 | Academic Papers | svg |
c6f25b70d2e4944ceee0ab85a0bce09a6d06b0adedbd81833ec50f6bc733c4c5 | 2026-01-21T00:00:00-05:00 | Ergodic Rate Analysis of Two-State Pinching-Antenna Systems | arXiv:2511.01798v2 Announce Type: replace Abstract: Flexible Antenna Systems (FAS) are a key enabler of next-generation wireless networks, allowing the antenna aperture to be dynamically reconfigured to adapt to channel conditions and service requirements. In this context, pinching-antenna systems (PASs) implemented on... | https://arxiv.org/abs/2511.01798 | Academic Papers | svg |
d6f9d50680924188b1b8bcc04b5730f09e2eeff454c991631531b018777bbf8b | 2026-01-21T00:00:00-05:00 | The associative-poset point of view on right regular bands | arXiv:2511.05721v2 Announce Type: replace Abstract: We present two results on the relation between the class of right regular bands (RRBs) and their underlying *associative posets*. The first one is a construction of a left adjoint to the forgetful functor that takes an RRB $(P,\cdot)$ to the corresponding $(P,\leq)$. ... | https://arxiv.org/abs/2511.05721 | Academic Papers | svg |
1aa6e7a412d4adf893bf38bdbc3ca3f1343175ece614c9ec75418be30f95161d | 2026-01-21T00:00:00-05:00 | On the Asymptotic Palindrome Density of Fibonacci Infinite Words | arXiv:2511.06485v2 Announce Type: replace Abstract: In this paper, we investigate the combinatorial and density properties of infinite words generated by Fibonacci-type morphisms, focusing on their subword structure, palindrome density, and extremal statistical behaviors. Using the morphism $0 \to 01$, $1 \to 0$, we de... | https://arxiv.org/abs/2511.06485 | Academic Papers | svg |
ed71adf692748c1875abb2b973eb20fe23fad6b3e2d608b5fb9e67b0ed2a73f2 | 2026-01-21T00:00:00-05:00 | Analytical estimations of edge states and extended states in large finite-size lattices | arXiv:2511.07875v2 Announce Type: replace Abstract: The bulk boundary correspondence, one of the most significant features of topological matter, theoretically connects the existence of edge modes at the boundary with topological invariants of the bulk spectral bands. However, it remains unspecified in realistic exampl... | https://arxiv.org/abs/2511.07875 | Academic Papers | svg |
d727506d416c26196efea4bf3ac2ba9902d84986a1a08c97161928f6f820303f | 2026-01-21T00:00:00-05:00 | Nonlinear scalar field equations with a critical Hardy potential | arXiv:2511.15668v2 Announce Type: replace Abstract: We study the existence of solutions for the nonlinear scalar field equation $$-\Delta u - \frac{(N-2)^2}{4|x|^2} u = g(u), \quad \mbox{in } \mathbb{R}^N \setminus \{0\},$$ where the potential $-\frac{(N-2)^2}{4|x|^2}$ is the critical Hardy potential and $N \geq 3$. Th... | https://arxiv.org/abs/2511.15668 | Academic Papers | svg |
ff14d0ea43b96be3cdb24232a80309d8a6f7f82f8a37b9380db08e5e858664ef | 2026-01-21T00:00:00-05:00 | Normalization of Puiseux Hypersurfaces | arXiv:2511.15863v2 Announce Type: replace Abstract: It is known that the normalization of a quasi-ordinary complex singularity is a Hirzebruch-Jung, see [Gon00; Pop04; AS05]. We extend this result to Puiseux hypersurfaces. Moreover, we prove that Hirzebruch-Jung singularities are precisely normalizations of Puiseux hyp... | https://arxiv.org/abs/2511.15863 | Academic Papers | svg |
73a0700f296e082c47d27b9abfa2e6f83ea6693e7ddf402f286385da6fc37a88 | 2026-01-21T00:00:00-05:00 | Subtlety of oscillation indices of oscillatory integrals of real analytic functions | arXiv:2511.16257v2 Announce Type: replace Abstract: For a locally defined real analytic function, we study the relation between the oscillation index of oscillatory integrals and the real log canonical threshold. The former is always negative, and its absolute value is greater than or equal to the latter. They coincide... | https://arxiv.org/abs/2511.16257 | Academic Papers | svg |
aa7bcbf8aaec7980dcdaa3b774b85b3da76f35af836b097489c15dbb997b007f | 2026-01-21T00:00:00-05:00 | Full flexibility of isometric immersions of metrics with low H\"older regularity in Poznyak theorem's dimension | arXiv:2511.16305v2 Announce Type: replace Abstract: A classical result by Poznyak asserts that any smooth $2$-dimensional Riemannian metric $g$, posed on the closure of a simply connected domain $\omega\subset\mathbb{R}^2$, has a smooth isometric immersion into $\mathbb{R}^4$. Using techniques of convex integration, we... | https://arxiv.org/abs/2511.16305 | Academic Papers | svg |
ca13af374bfeaf0ebe0da32ab8cb70373f0ee638cd287eca1d83ef8d3a71e755 | 2026-01-21T00:00:00-05:00 | Function-Correcting Codes With Data Protection | arXiv:2511.18420v2 Announce Type: replace Abstract: Function-correcting codes (FCCs) are designed to provide error protection for the value of a function computed on the data. Existing work typically focuses solely on protecting the function value and not the underlying data. In this work, we propose a general framewor... | https://arxiv.org/abs/2511.18420 | Academic Papers | svg |
3d5d864aa23ef2ef1f460b32269be4f1b54f7c85564a56efa8f6b3d8d251f5fa | 2026-01-21T00:00:00-05:00 | Elastic scattering by locally rough interfaces | arXiv:2511.18799v2 Announce Type: replace Abstract: In this paper, we present the first well-posedness result for elastic scattering by locally rough interfaces in both two and three dimensions. Inspired by the Helmholtz decomposition, we discover a fundamental identity for the stress vector, revealing an intrinsic rel... | https://arxiv.org/abs/2511.18799 | Academic Papers | svg |
89bad4c9ddc112b7b8df17be43b8f330bd3e20e03389a42c5e1fccb5ae501412 | 2026-01-21T00:00:00-05:00 | Higher property T and below-rank phenomena of lattices | arXiv:2511.20192v2 Announce Type: replace Abstract: The purpose of this paper is twofold. We explore higher property T as an abstract group-theoretic property. In particular, we provide new operator-algebraic characterizations of higher property T. Then we turn to lattices in semisimple Lie groups. We relate higher pro... | https://arxiv.org/abs/2511.20192 | Academic Papers | svg |
e213e40cdc6ca564c1c0f1a35acbdb9b71fbf7d6fa1a0e33ae9f0ccf1a154292 | 2026-01-21T00:00:00-05:00 | Uniform inference for kernel instrumental variable regression | arXiv:2511.21603v2 Announce Type: replace Abstract: Instrumental variable regression is a foundational tool for causal analysis across the social and biomedical sciences. Recent advances use kernel methods to estimate nonparametric causal relationships, with general data types, while retaining a simple closed-form expr... | https://arxiv.org/abs/2511.21603 | Academic Papers | svg |
d411a1ae627509df39863d7d1f1a0412493653243c1851112dbfff8c14ea9175 | 2026-01-21T00:00:00-05:00 | Maximal variation of linear systems | arXiv:2511.22329v4 Announce Type: replace Abstract: Let X be a smooth projective complex variety, and L a line bundle on X . We say that the linear system |L| has maximal variation if its elements have the maximum number dim|L| of moduli. We discuss some cases where this situation is expected: hypersurfaces, double cov... | https://arxiv.org/abs/2511.22329 | Academic Papers | svg |
b89a1014729029ef72e1987da47bbda9cb905e1ceab3a197c85ec1f1b835d2db | 2026-01-21T00:00:00-05:00 | Convergence rates of self-repelling diffusions on Riemannian manifolds | arXiv:2511.23333v2 Announce Type: replace Abstract: We study a class of self-repelling diffusions on compact Riemannian manifolds whose drift is the gradient of a potential accumulated along their trajectory. When the interaction potential admits a suitable spectral decomposition, the dynamics and its environment are e... | https://arxiv.org/abs/2511.23333 | Academic Papers | svg |
8360705ce910c93eeeb8cd72e116cb740b7fd5f4d5063dfff0f146b28275cbcb | 2026-01-21T00:00:00-05:00 | The intrinsic subgroup of an elliptic curve and Mazur's torsion theorem | arXiv:2512.00787v2 Announce Type: replace Abstract: We define and study a biadditive symmetric (not necessarily perfect) pairing on the torsion part $\mathrm{Pic}(X)_{\mathrm{tors}}$ of the Picard group of a smooth projective curve $X$ over a field $k$ with values in $k^\times \otimes \mathbb{Q}/\mathbb{Z}$. We call it... | https://arxiv.org/abs/2512.00787 | Academic Papers | svg |
5678018a9fa04dff1c05e16d362640257a1871a6ca847f53583a384a16d95805 | 2026-01-21T00:00:00-05:00 | Spectrally additive maps on the positive cones of the Wiener algebra | arXiv:2512.01173v2 Announce Type: replace Abstract: We study surjective maps between the positive cones of the Wiener algebra that preserve the spectrum of the sum of every two elements. We show that such maps can be extended to isometric real-linear isomorphisms of the Wiener algebra. | https://arxiv.org/abs/2512.01173 | Academic Papers | svg |
fec1700e74ac3130c38391c4f88e852bb5bee30bcbe82eaf9ecfb2672219e8b3 | 2026-01-21T00:00:00-05:00 | A discrete approach to Dirichlet L-functions, their special values and zeros | arXiv:2512.01779v2 Announce Type: replace Abstract: We obtain new infinite families of identities among special values of Dirichlet $L$-functions using finite spectral sums. More precisely, we study Dirichlet $L$-functions via discrete analogues $L_n$ arising from the spectral theory of cyclic graphs as $n\rightarrow \... | https://arxiv.org/abs/2512.01779 | Academic Papers | svg |
d23c7ef095b95ba5d603b914dad6f9da59cf7e3bf81177494f8a091770e488d7 | 2026-01-21T00:00:00-05:00 | The time fractional stochastic partial differential equations with non-local operator on $\mathbb{R}^{d}$ | arXiv:2512.03754v2 Announce Type: replace Abstract: This paper establishes a comprehensive well-posedness and regularity theory for time-fractional stochastic partial differential equations on $\mathbb{R}^d$ driven by mixed Wiener--L\'evy noises. The equations feature a Caputo time derivative $\partial_t^\alpha$ ($0<\a... | https://arxiv.org/abs/2512.03754 | Academic Papers | svg |
57c81ef919a093229a8d889609a2ae21d1235867442b1e50c2603e454058fde6 | 2026-01-21T00:00:00-05:00 | A Second Main Theorem for Entire Curves Intersecting Three Conics | arXiv:2512.03948v2 Announce Type: replace Abstract: We establish a Second Main Theorem for entire holomorphic curves \( f: \mathbb{C} \to \mathbb{P}^2 \) intersecting a generic configuration of three conics \(\mathcal{C}= \mathcal{C}_1+ \mathcal{C}_2+ \mathcal{C}_3 \) in the complex projective plane $\mathbb{P}^2$. Usi... | https://arxiv.org/abs/2512.03948 | Academic Papers | svg |
473874c9e0d1965db139a7f9501e3696a2f13786f63b1622fbd761885391abc3 | 2026-01-21T00:00:00-05:00 | A Tight-binding Approach for Computing Subwavelength Guided Modes in Crystals with Line Defects | arXiv:2512.05370v2 Announce Type: replace Abstract: In this paper, we develop an accurate and efficient framework for computing subwavelength guided modes in high-contrast periodic media with line defects, based on a tight-binding approximation. The physical problem is formulated as an eigenvalue problem for the Helmho... | https://arxiv.org/abs/2512.05370 | Academic Papers | svg |
c3d03577f47c6b3477f07dba0d62c5f2ac32b4c646985532cd80d9434fb760a8 | 2026-01-21T00:00:00-05:00 | Integrating ethical, societal and environmental issues into algorithm design courses | arXiv:2512.13216v2 Announce Type: replace Abstract: This document, intended for computer science teachers, describes a case study that puts into practice a questioning of ethical, societal and environmental issues when designing or implementing a decision support system. This study is based on a very popular applicatio... | https://arxiv.org/abs/2512.13216 | Academic Papers | svg |
93e53d1a9725a738ddc486603fb166a80a8ec1ffd74b17d01bd0c37ba77e7c65 | 2026-01-21T00:00:00-05:00 | Asymptotics for the number of domino tilings of L-shaped Aztec domains | arXiv:2512.20388v2 Announce Type: replace Abstract: We obtain precise asymptotics for the weighted number of domino tilings of an L-shaped subset of the Aztec diamond, obtained by removing an approximate rectangle in a corner of the Aztec diamond. By tuning the size of the removed corner, we observe different types of ... | https://arxiv.org/abs/2512.20388 | Academic Papers | svg |
7bca03b479d43eb32b855b46368474160dfcc7eec69e7dd90450cfd700c32f5d | 2026-01-21T00:00:00-05:00 | Linear varieties and matroids with applications to the Cullis' determinant | arXiv:2512.21098v2 Announce Type: replace Abstract: Let $V$ be a vector space of rectangular $n\times k$ matrices annihilating the Cullis' determinant. We show that $\dim(V) \le (n-1)k$, extending Dieudonn{\'{e}}'s result on the dimension of vector spaces of square matrices annihilating the ordinary determinant. Furthe... | https://arxiv.org/abs/2512.21098 | Academic Papers | svg |
acdfa1ccf01726099b184b11e2819b314d454804a5800f1c1592b8e0adad4d51 | 2026-01-21T00:00:00-05:00 | $x(1-t(x+x^{-1}))F(x;t) = x-tF(0;t)$ | arXiv:2512.21753v2 Announce Type: replace Abstract: The purpose of these notes is to introduce some of the problems the enumeration of lattice walks is dedicated to and familiarize with some of the arguments they can be addressed with. We discuss the enumeration of lattice walks, their generating functions, and the fun... | https://arxiv.org/abs/2512.21753 | Academic Papers | svg |
00314d774dadb40ae10bfc26fee1ba615c6292a8905e6049b60442edd5d06628 | 2026-01-21T00:00:00-05:00 | Exchangeability and randomness for infinite and finite sequences | arXiv:2512.22162v2 Announce Type: replace Abstract: Randomness (in the sense of being generated in an IID fashion) and exchangeability are standard assumptions in nonparametric statistics and machine learning, and relations between them have been a popular topic of research. This short paper draws the reader's attentio... | https://arxiv.org/abs/2512.22162 | Academic Papers | svg |
a219fcd13551629611b2a67634d61401d2c93a231a3766d4ba593be3ea3fbd3d | 2026-01-21T00:00:00-05:00 | Research projects and Moscow Mathematical Conference for high school students | arXiv:2512.22191v2 Announce Type: replace Abstract: This paper shares some experience in advanced mathematical education. We show how a high school student can be naturally and gradually introduced to basic steps of scientific research: developing intuition by finding and correcting mistakes through discussions and wri... | https://arxiv.org/abs/2512.22191 | Academic Papers | svg |
e72cfdfa5b6046bf38918c792597ea141ecb4e783a4cda54c6fbc8ce49f3d23f | 2026-01-21T00:00:00-05:00 | Covering in Hamming and Grassmann Spaces: New Bounds and Reed--Solomon-Based Constructions | arXiv:2512.22911v2 Announce Type: replace Abstract: We study covering problems in Hamming and Grassmann spaces through a unified coding-theoretic and information-theoretic framework. Viewing covering as a form of quantization in general metric spaces, we introduce the notion of the average covering radius as a natural ... | https://arxiv.org/abs/2512.22911 | Academic Papers | svg |
0e67ad8042a1df5ffbd3d7da51ca11a1c82880acda2f7724507ecba8d64423cd | 2026-01-21T00:00:00-05:00 | Limit Computation Over Posets via Minimal Initial Functors | arXiv:2601.00209v2 Announce Type: replace Abstract: It is well known that limits can be computed by restricting along an initial functor, and that this often simplifies limit computation. We systematically study the algorithmic implications of this idea for diagrams indexed by a finite poset. We say an initial functor ... | https://arxiv.org/abs/2601.00209 | Academic Papers | svg |
74a1d18b75a896ebb32ec699bce3121600fbacd1f01efbab0148ddf2f479e7ca | 2026-01-21T00:00:00-05:00 | Complexity of deep computations via topology of function spaces | arXiv:2601.00528v2 Announce Type: replace Abstract: We use topological methods to study complexity of deep computations and limit computations. We use topology of function spaces, specifically, the classification Rosenthal compacta, to identify new complexity classes. We use the language of model theory, specifically, ... | https://arxiv.org/abs/2601.00528 | Academic Papers | svg |
cb77be29dab5f0d3ce05d824fbd7b38c7b8547360096ca0271fd73c9808dcb63 | 2026-01-21T00:00:00-05:00 | On oscillator death in the Winfree model | arXiv:2601.01203v2 Announce Type: replace Abstract: We show that for the standard sinusoidal Winfree model, a coupling strength exceeding twice the maximal magnitude of the intrinsic frequencies guarantees the convergence of the system for Lebesgue almost every initial data. This is proven by first showing, via an orde... | https://arxiv.org/abs/2601.01203 | Academic Papers | svg |
e86de8bc82a64e1aff84802665e9e8d6b7ad7d11b9ce0a2b0d1a7d20ed9b3a29 | 2026-01-21T00:00:00-05:00 | New discretised polynomial expander and incidence estimates | arXiv:2601.01264v2 Announce Type: replace Abstract: We present two applications of recent developments in incidence geometry. One is a $\delta$-discretised version of a particular `Elekes--R\'onyai' expander problem. The second application is an incidence estimate addressing the scenario when both tubes, squares and th... | https://arxiv.org/abs/2601.01264 | Academic Papers | svg |
ab31cd7d88b51564acd1e01cc584e9dfb97a1dc97f8c6213e08755ce4318b7b2 | 2026-01-21T00:00:00-05:00 | Algorithmic Information Theory for Graph Edge Grouping and Substructure Analysis | arXiv:2601.01760v3 Announce Type: replace Abstract: Understanding natural phenomenon through the interactions of different complex systems has become an increasing focus in scientific inquiry. Defining complexity and actually measuring it is an ongoing debate and no standard framework has been established that is both ... | https://arxiv.org/abs/2601.01760 | Academic Papers | svg |
8da7096bc397ebb041294bab25957f92c7662074010e7746d25445019f16ddf7 | 2026-01-21T00:00:00-05:00 | Hilbert Polynomials of Calabi Yau Hypersurfaces in Toric Varieties and Lattice Points in Polytope Boundaries | arXiv:2601.02176v2 Announce Type: replace Abstract: We show that the Hilbert polynomial of a Calabi-Yau hypersurface $Z$ in a smooth toric variety $M$ associated to a convex polytope $\Delta$ is given by a lattice point count in the polytope boundary $\partial \Delta,$ just as the Hilbert polynomial of $M$ is known to ... | https://arxiv.org/abs/2601.02176 | Academic Papers | svg |
52d12bead30a98ede0c18782fc1a50fcc51cc0005c1ca71bfa6185af6a071728 | 2026-01-21T00:00:00-05:00 | On difference sets of dense subsets of $\mathbb{Z}^2$ | arXiv:2601.03797v2 Announce Type: replace Abstract: In this article, we study the structure of the difference set $E - E$ for subsets $E \subseteq \mathbb{Z}^2$ of positive upper Banach density. Fish asked in [Proc. Amer. Math. Soc. 146 (2018), 3449-3453] whether, for every such set $E$, there exists a nonzero integer ... | https://arxiv.org/abs/2601.03797 | Academic Papers | svg |
1c32e8102863034515da093aa83ddf76defc34391cc05de810c2b2e22de60980 | 2026-01-21T00:00:00-05:00 | Trade-off between spread and width for tree decompositions | arXiv:2601.04040v2 Announce Type: replace Abstract: We study the trade-off between (average) spread and width in tree decompositions, answering several questions from Wood [arXiv:2509.01140]. The spread of a vertex $v$ in a tree decomposition is the number of bags that contain $v$. Wood asked for which $c>0$, there exi... | https://arxiv.org/abs/2601.04040 | Academic Papers | svg |
eb283c996bff59f25d4c08103fde36c9fad9bec8dd5359415ab4df92b7dcb2ee | 2026-01-21T00:00:00-05:00 | Sum of Squares Decompositions and Rank Bounds for Biquadratic Forms | arXiv:2601.04965v3 Announce Type: replace Abstract: We study SOS properties of biquadratic forms. For the class of partially symmetric biquadratic forms, we establish necessary and sufficient conditions for positive semi-definiteness and prove that every PSD partially symmetric biquadratic form is a sum of squares of b... | https://arxiv.org/abs/2601.04965 | Academic Papers | svg |
8155303be1ebe33efa9a28949a0b90d16346fbc649a5eeb414acee12f06637d6 | 2026-01-21T00:00:00-05:00 | On Strong Lefschetz Property of 0-dimensional complete intersections | arXiv:2601.07874v3 Announce Type: replace Abstract: We prove that a homogeneous 0-dimensional complete intersection satisfies the Strong Lefschetz Property (SLP) in degree 1 if and only if its associated form has nonzero Hessian. The result is essentially known in the literature, but our proof is different compared wit... | https://arxiv.org/abs/2601.07874 | Academic Papers | svg |
e37a9fbc82ee88868964991a671b3c07a86e0fda013101369e83809c3b11176e | 2026-01-21T00:00:00-05:00 | Determining the Winner in Alternating-Move Games | arXiv:2601.08359v2 Announce Type: replace Abstract: We provide a criterion for determining the winner in two-player win-lose alternating-move games on trees, in terms of the Hausdorff dimension of the target set. We focus our study on special cases, including the Gale-Stewart game on the complete binary tree and a fami... | https://arxiv.org/abs/2601.08359 | Academic Papers | svg |
d242c193ba10becfcee59c4376cfe5785a1dd0d6cf741d7c370a60fee885a241 | 2026-01-21T00:00:00-05:00 | On the Generalization Error of Differentially Private Algorithms Via Typicality | arXiv:2601.08386v2 Announce Type: replace Abstract: We study the generalization error of stochastic learning algorithms from an information-theoretic perspective, with a particular emphasis on deriving sharper bounds for differentially private algorithms. It is well known that the generalization error of stochastic lea... | https://arxiv.org/abs/2601.08386 | Academic Papers | svg |
e10f8ba9dd1819d4e426ae1a86046f6eb5a3fee4d8fe3698adab2ce4de9031b0 | 2026-01-21T00:00:00-05:00 | Fluctuations of the Ising free energy on Erd\H{o}s-R\'enyi graphs | arXiv:2601.08590v2 Announce Type: replace Abstract: We investigate the ferromagnetic Ising model on the Erd\H{o}s-R\'enyi random graph $\mathbb{G}(n,m)$ with bounded average degree $d=2m/n$. Specifically, we determine the limiting distribution of $\log Z_{\mathbb{G}(n,m)}(\beta,B)$, where $Z_{\mathbb{G}(n,m)}(\beta,B)$... | https://arxiv.org/abs/2601.08590 | Academic Papers | svg |
620d939a919d661b68dc218ecf7cb537df12d0dfc5b8276cf891e22f061e9102 | 2026-01-21T00:00:00-05:00 | Spectral Fusion Deformations for Locally Compact Quantum Groups | arXiv:2601.08688v2 Announce Type: replace Abstract: We develop a deformation framework for $C^*$-algebras equipped with a coaction of a locally compact quantum group, formulated intrinsically at the level of spectral subspaces determined by the coaction. The construction is defined algebraically on a finite spectral co... | https://arxiv.org/abs/2601.08688 | Academic Papers | svg |
d02052fd9b14157ec2faf58de0f4239ec391009b30e7bcfca657869c09e86ca2 | 2026-01-21T00:00:00-05:00 | Upper and Lower Bounds for The Quantum Dynamics of One-Dimensional Divergence-Type Random Jacobi Operators | arXiv:2601.08796v2 Announce Type: replace Abstract: We study quantum transport for the discrete one-dimensional random Jacobi operator of divergence-gradient type. For strictly positive and bounded random variables, we analyze the q-moments of the position operator and establish both upper and lower power-law bounds on... | https://arxiv.org/abs/2601.08796 | Academic Papers | svg |
62d36b0283c28f79aaa00d7f3eefbc103cca4d9dd3d2567f679fdfe83021f2b9 | 2026-01-21T00:00:00-05:00 | Quantum Heegaard diagrams and knot Floer Homology | arXiv:2601.08805v2 Announce Type: replace Abstract: Given a knot presented as a braid closure, we construct a unified intersection model for the Alexander and Jones polynomials of the knot via what we call quantum Heegaard diagrams. These diagrams are obtained by stabilising the disc model of the first author, which we... | https://arxiv.org/abs/2601.08805 | Academic Papers | svg |
4bce6aec3db81a5a0b6e737fcdc97e0463f374ccce2a630b9038b00061736087 | 2026-01-21T00:00:00-05:00 | Positive Lyapunov Exponents versus Integrability in Random Conservative Dynamics | arXiv:2601.08814v2 Announce Type: replace Abstract: We study random dynamical systems generated by volume-preserving piecewise $C^{1}$ maps. For this class of systems, we establish an invariance principle stating that if all Lyapunov exponents vanish, then there exists a measurable family of probability measures on the... | https://arxiv.org/abs/2601.08814 | Academic Papers | svg |
1c19e6f2d15381ab5ca2b4ec13d3756e66659361f307a245a262e385bf73709d | 2026-01-21T00:00:00-05:00 | Two-dimensional Entanglement-assisted Quantum Quasi-cyclic Low-density Parity-check Codes | arXiv:2601.08927v2 Announce Type: replace Abstract: For any positive integer $g \ge 2$, we derive general condition for the existence of a $2g$-cycle in the Tanner graph of two-dimensional ($2$-D) classical quasi-cyclic (QC) low-density parity-check (LDPC) codes. Depending on whether $p$ is an odd prime or a composite ... | https://arxiv.org/abs/2601.08927 | Academic Papers | svg |
76461704d2d97efbe4754d441e83d013fc1d93043335237c70ad06bd4b445ce5 | 2026-01-21T00:00:00-05:00 | Solution to a Problem of Erd\H{o}s Concerning Distances and Points | arXiv:2601.09102v2 Announce Type: replace Abstract: In 1997, Erd\H{o}s asked whether for arbitrarily large $n$ there exists a set of $n$ points in $\mathbb{R}^2$ that determines $O(\frac{n}{\sqrt{\log n}})$ distinct distances while satisfying the local constraint that every 4-point subset determines at least 3 distinct... | https://arxiv.org/abs/2601.09102 | Academic Papers | svg |
739a4313987d08cdbdc68619f2dc074621699ed95e5d720a99d23bc3dd34d292 | 2026-01-21T00:00:00-05:00 | System Availability Optimization: Integrating Quantity Discounts and Delivery Lead Time Considerations | arXiv:2601.09194v2 Announce Type: replace Abstract: Purpose: The model allocates the system components orders to the suppliers to minimize the parts price and the system construction delay penalties and maximize the system availability during its use. It considers the quantity-based discount and variation of delivery l... | https://arxiv.org/abs/2601.09194 | Academic Papers | svg |
846f3fe0214e5f67ad477740e72456aa3df6092bb4d7be3d9a54986c3ca81e38 | 2026-01-21T00:00:00-05:00 | On strong law of large numbers for weakly stationary $\varphi$-mixing set-valued random variable sequences | arXiv:2601.09197v2 Announce Type: replace Abstract: In this paper we extend the notion of $\varphi$-mixing to set-valued random sequences that take values in the family of closed subsets of a Banach space. Several strong laws of large numbers for such $\varphi$-mixing sequences are stated and proved. Illustrative examp... | https://arxiv.org/abs/2601.09197 | Academic Papers | svg |
f086ca6579d12b67ba3f8aff0024b3f71951a7cd08388d2c348c3df6dcfdde58 | 2026-01-21T00:00:00-05:00 | On Polar Coding with Feedback | arXiv:2601.09222v2 Announce Type: replace Abstract: In this work, we investigate the performance of polar codes with the assistance of feedback in communication systems. Although it is well known that feedback does not improve the capacity of memoryless channels, we show that the finite length performance of polar code... | https://arxiv.org/abs/2601.09222 | Academic Papers | svg |
a69ff316e09cd4ba393797ce868581c9419e47e8cf821dd4522cea7ef603374c | 2026-01-21T00:00:00-05:00 | On generalized Tur\'{a}n problems for expansions | arXiv:2601.09244v2 Announce Type: replace Abstract: Given a graph $F$, the $r$-expansion $F^r$ of $F$ is the $r$-uniform hypergraph obtained from $F$ by inserting $r-2$ new distinct vertices in each edge of $F$. Given $r$-uniform hypergraphs $\mathcal{H}$ and $\mathcal{F}$, the generalized Tur\'{a}n number, denoted by ... | https://arxiv.org/abs/2601.09244 | Academic Papers | svg |
20c5d24ae6d0d211567b7919ecb9dad9189d0864fdd4f84fdf64a81b6e047d1f | 2026-01-21T00:00:00-05:00 | A Finite-Sample Strong Converse for Binary Hypothesis Testing via (Reverse) R\'enyi Divergence | arXiv:2601.09550v2 Announce Type: replace Abstract: This work investigates binary hypothesis testing between $H_0\sim P_0$ and $H_1\sim P_1$ in the finite-sample regime under asymmetric error constraints. By employing the ``reverse" R\'enyi divergence, we derive novel non-asymptotic bounds on the Type II error probabil... | https://arxiv.org/abs/2601.09550 | Academic Papers | svg |
4a9e6eb6b20afffe3a8497882ce02ebae193a4be34746e792d7a2f8778de51ad | 2026-01-21T00:00:00-05:00 | Counting and Entropy Bounds for Structure-Avoiding Spatially-Coupled LDPC Constructions | arXiv:2601.09674v2 Announce Type: replace Abstract: Designing large coupling memory quasi-cyclic spatially-coupled LDPC (QC-SC-LDPC) codes with low error floors requires eliminating specific harmful substructures (e.g., short cycles) induced by edge spreading and lifting. Building on our work~\cite{r15} that introduced... | https://arxiv.org/abs/2601.09674 | Academic Papers | svg |
b3a1d3136a6b1c1c9051d35784f07c0506603e4e7f4f1658651e7987303771b2 | 2026-01-21T00:00:00-05:00 | Invariant Algebraic $D$-Modules on Semisimple and General Linear Groups: Classification and Tensor Categories | arXiv:2601.10934v2 Announce Type: replace Abstract: We study finite-rank left-translation invariant algebraic $D$-modules on complex affine algebraic groups. Using the standard description of these objects as left-invariant flat algebraic connections on the trivial vector bundle, modulo algebraic gauge transformations,... | https://arxiv.org/abs/2601.10934 | Academic Papers | svg |
256ec63f2cb4e3099f7b7b1fa7858668140c3898d0743cf5349be88e4f1303b8 | 2026-01-21T00:00:00-05:00 | Exact Constraint Enforcement in Physics-Informed Extreme Learning Machines using Null-Space Projection Framework | arXiv:2601.10999v2 Announce Type: replace Abstract: Physics-informed extreme learning machines (PIELMs) typically impose boundary and initial conditions through penalty terms, yielding only approximate satisfaction that is sensitive to user-specified weights and can propagate errors into the interior solution. This wor... | https://arxiv.org/abs/2601.10999 | Academic Papers | svg |
ef4c22ca99a436341e31f0853127cccd50a7dedcdc53474fc73830e13a6be78c | 2026-01-21T00:00:00-05:00 | Countable-Support Symmetric Iterations | arXiv:2601.11008v2 Announce Type: replace Abstract: We present a framework for iterating symmetric extensions with \emph{countable support}. Assuming the successor-step two-stage symmetric-system construction from the standard finite-support theory, we define the countable-support iteration and its induced automorphism... | https://arxiv.org/abs/2601.11008 | Academic Papers | svg |
95a1f719fd28be29c03039b06220a9001d55d4ff27937ed9d218db0a232aad12 | 2026-01-21T00:00:00-05:00 | Constructing Orthogonal Rational Function Vectors with an application in Rational Approximation | arXiv:2601.11317v2 Announce Type: replace Abstract: We present two algorithms for constructing orthonormal bases of rational function vectors with respect to a discrete inner product, and discuss how to use them for a rational approximation problem. Building on the pencil-based formulation of the inverse generalized ei... | https://arxiv.org/abs/2601.11317 | Academic Papers | svg |
d8df04c5f82c00fee0ac4f014b7bc7bd2fe29bdb53bb23463005cd5f8a4a8560 | 2026-01-21T00:00:00-05:00 | Efficient Channel Autoencoders for Wideband Communications leveraging Walsh-Hadamard interleaving | arXiv:2601.11407v2 Announce Type: replace Abstract: This paper investigates how end-to-end (E2E) channel autoencoders (AEs) can achieve energy-efficient wideband communications by leveraging Walsh-Hadamard (WH) interleaved converters. WH interleaving enables high sampling rate analog-digital conversion with reduced pow... | https://arxiv.org/abs/2601.11407 | Academic Papers | svg |
ade61aaf873fa096f63dbe507f78897cafef3380a453cf4d15792f27145fc684 | 2026-01-21T00:00:00-05:00 | Frame eversion and contextual geometric rigidity | arXiv:2601.11455v2 Announce Type: replace Abstract: We prove rigidity results describing contextually-constrained maps defined on Grassmannians and manifolds of ordered independent line tuples in finite-dimensional vector or Hilbert spaces. One statement in the spirit of the Fundamental Theorem of Projective Geometry c... | https://arxiv.org/abs/2601.11455 | Academic Papers | svg |
2dcecd9c72fe96b6454dbc1fc11db11046907298399720357ee68683bfcae6e0 | 2026-01-21T00:00:00-05:00 | A New Generation of Brain-Computer Interface Based on Riemannian Geometry | arXiv:1310.8115v2 Announce Type: replace-cross Abstract: Based on the cumulated experience over the past 25 years in the field of Brain-Computer Interface (BCI) we can now envision a new generation of BCI. Such BCIs will not require training; instead they will be smartly initialized using remote massive databases and w... | https://arxiv.org/abs/1310.8115 | Academic Papers | svg |
3ffdb8a5d57c037cb436b74a189541c889ff8bb3232e3789c482da871118a895 | 2026-01-21T00:00:00-05:00 | UVIP: Model-Free Approach to Evaluate Reinforcement Learning Algorithms | arXiv:2105.02135v5 Announce Type: replace-cross Abstract: Policy evaluation is an important instrument for the comparison of different algorithms in Reinforcement Learning (RL). However, even a precise knowledge of the value function $V^{\pi}$ corresponding to a policy $\pi$ does not provide reliable information on how... | https://arxiv.org/abs/2105.02135 | Academic Papers | svg |
2fb652af0fd74f598759e62ae9f6d238aea237ba3780d94fc90d65b916cc9dd2 | 2026-01-21T00:00:00-05:00 | Explicit Non-Abelian Gerbes with Connections | arXiv:2203.00092v4 Announce Type: replace-cross Abstract: We define the notion of adjustment for strict Lie 2-groups and provide the complete cocycle description for non-Abelian gerbes with connections whose structure 2-group is an adjusted 2-group. Most importantly, we depart from the common fake-flat connections and ... | https://arxiv.org/abs/2203.00092 | Academic Papers | svg |
ecd250446a1c60e2c07c3f0dab965af62f51e8cd139a84cc222ffafa0287de7a | 2026-01-21T00:00:00-05:00 | A Note on Comparator-Overdrive-Delay Conditioning for Current-Mode Control | arXiv:2206.09340v3 Announce Type: replace-cross Abstract: Comparator-overdrive-delay conditioning is a new control conditioning approach for high-frequency current-mode control. No existing literature rigorously studies the effect of the comparator overdrive delay on the current-mode control. The results in this paper ... | https://arxiv.org/abs/2206.09340 | Academic Papers | svg |
cc534d7b13f81522285d7c16c7c320af5ca932d0d84283c45122be8072a14eb1 | 2026-01-21T00:00:00-05:00 | Machine Learning Decoder for 5G NR PUCCH Format 0 | arXiv:2209.07861v2 Announce Type: replace-cross Abstract: 5G cellular systems depend on the timely exchange of feedback control information between the user equipment and the base station. Proper decoding of this control information is necessary to set up and sustain high throughput radio links. This paper makes the fi... | https://arxiv.org/abs/2209.07861 | Academic Papers | svg |
eda0fbac666d15e38a8028b2020f5c9e7101bb9c7a5afe4257911ac1f91349d4 | 2026-01-21T00:00:00-05:00 | Two convergent NPA-like hierarchies for the quantum bilocal scenario | arXiv:2210.09065v5 Announce Type: replace-cross Abstract: Characterising the correlations that arise from locally measuring a single part of a joint quantum system is one of the main problems of quantum information theory. The seminal work [M. Navascu\'es et al., New J. Phys. 10, 073013 (2008)], known as the Navascu\'e... | https://arxiv.org/abs/2210.09065 | Academic Papers | svg |
888f0b545faa61cf0fa02f804aee387c09458063b2e6a2f64b0248ed7049f036 | 2026-01-21T00:00:00-05:00 | On the Global Convergence of Risk-Averse Natural Policy Gradient Methods with Expected Conditional Risk Measures | arXiv:2301.10932v5 Announce Type: replace-cross Abstract: Risk-sensitive reinforcement learning (RL) has become a popular tool for controlling the risk of uncertain outcomes and ensuring reliable performance in highly stochastic sequential decision-making problems. While it has been shown that policy gradient methods c... | https://arxiv.org/abs/2301.10932 | Academic Papers | svg |
910d53956637a366f4c0a87a4ec2494c23a2f8edb98cd933d9e920416590a136 | 2026-01-21T00:00:00-05:00 | Optimal Conditional Inference in Adaptive Experiments | arXiv:2309.12162v2 Announce Type: replace-cross Abstract: We study batched bandit experiments and consider the problem of inference conditional on the realized stopping time, assignment probabilities, and target parameter, where all of these may be chosen adaptively using information up to the last batch of the experim... | https://arxiv.org/abs/2309.12162 | Academic Papers | svg |
a7f5f062dda286c38966207eb8332565ad357dce4165e00b94dd5c0c37007aa7 | 2026-01-21T00:00:00-05:00 | AlphaMapleSAT: An MCTS-based Cube-and-Conquer SAT Solver for Hard Combinatorial Problems | arXiv:2401.13770v2 Announce Type: replace-cross Abstract: This paper introduces AlphaMapleSAT, a Cube-and-Conquer (CnC) parallel SAT solver that integrates Monte Carlo Tree Search (MCTS) with deductive feedback to efficiently solve challenging combinatorial SAT problems. Traditional lookahead cubing methods, used by so... | https://arxiv.org/abs/2401.13770 | Academic Papers | svg |
4c75433c6df65c98dd85b34d7e6cb339151d19d56a7eb6a084221d69970bde76 | 2026-01-21T00:00:00-05:00 | Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss | arXiv:2402.00152v4 Announce Type: replace-cross Abstract: Constructing the architecture of a neural network is a challenging pursuit for the machine learning community, and the dilemma of whether to go deeper or wider remains a persistent question. This paper explores a comparison between deeper neural networks (DeNNs)... | https://arxiv.org/abs/2402.00152 | Academic Papers | svg |
ca1710c63d1d6a31faceb7787c4a2ba68102b759fa05257189f9f528df900836 | 2026-01-21T00:00:00-05:00 | On Dirac equations on phase spaces | arXiv:2402.06404v3 Announce Type: replace-cross Abstract: We consider Dirac equations on relativistic phase spaces $T^*{\mathbb R}^{p-1,1}$, where ${\mathbb R}^{p-1,1}$ is Minkowski space with $p=2,4$. We use the geometric quantization approach in which the wave functions are polarized sections of a complex line bundle... | https://arxiv.org/abs/2402.06404 | Academic Papers | svg |
f56124f13a094aac19ef746d557bf58df6db7775ed24047543eb6073506ef710 | 2026-01-21T00:00:00-05:00 | Reflexive graph lenses in univalent foundations | arXiv:2404.07854v2 Announce Type: replace-cross Abstract: Martin-L\"of's identity types provide a generic (albeit opaque) notion of identification or "equality" between any two elements of the same type, embodied in a canonical reflexive graph structure $(=_A, \mathbf{refl})$ on any type $A$. The miracle of Voevodsky's... | https://arxiv.org/abs/2404.07854 | Academic Papers | svg |
7dadd6311d5c316dc7b64c2348ad6182e9e8486373e521fc648b4145d4d62393 | 2026-01-21T00:00:00-05:00 | Asymmetric canonical correlation analysis of Riemannian and high-dimensional data | arXiv:2404.11781v3 Announce Type: replace-cross Abstract: In this paper, we introduce a novel statistical model for the integrative analysis of Riemannian-valued functional data and high-dimensional data. We apply this model to explore the dependence structure between each subject's dynamic functional connectivity -- r... | https://arxiv.org/abs/2404.11781 | Academic Papers | svg |
7c0030c10bab59acbb7f2e6f587b389451880fc4c12aa3d35af1fbb0ae27abcb | 2026-01-21T00:00:00-05:00 | Non-hyperbolic 3-manifolds and 3D field theories for 2D Virasoro minimal models | arXiv:2405.16377v3 Announce Type: replace-cross Abstract: Using 3D-3D correspondence, we construct 3D dual bulk field theories for general Virasoro minimal models $M(P,Q)$. These theories correspond to Seifert fiber spaces $S^2 ((P,P-R),(Q,S),(3,1))$ with two integers $(R,S)$ satisfying $PS-QR =1$. In the unitary case,... | https://arxiv.org/abs/2405.16377 | Academic Papers | svg |
c8ffaccaf071a52708ee389342511d393e41eacfdb0bb0e237bbfa04bee1a2d0 | 2026-01-21T00:00:00-05:00 | Few for Many: Tchebycheff Set Scalarization for Many-Objective Optimization | arXiv:2405.19650v3 Announce Type: replace-cross Abstract: Multi-objective optimization can be found in many real-world applications where some conflicting objectives can not be optimized by a single solution. Existing optimization methods often focus on finding a set of Pareto solutions with different optimal trade-off... | https://arxiv.org/abs/2405.19650 | Academic Papers | svg |
cd2d74a2ff9aac3e89398a3b5271ccc6e6ad0d3b040469e309ecf05630899c38 | 2026-01-21T00:00:00-05:00 | U-learning for Prediction Inference via Combinatory Multi-Subsampling: With Applications to LASSO and Neural Networks | arXiv:2407.15301v2 Announce Type: replace-cross Abstract: Epigenetic aging clocks play a pivotal role in estimating an individual's biological age through the examination of DNA methylation patterns at numerous CpG (Cytosine-phosphate-Guanine) sites within their genome. However, making valid inferences on predicted epi... | https://arxiv.org/abs/2407.15301 | Academic Papers | svg |
cdc674622c852a3d30870f7e3696118da70ce0336e22456eb316ca988ae867af | 2026-01-21T00:00:00-05:00 | Gibbs Sampling gives Quantum Advantage at Constant Temperatures with O(1)-Local Hamiltonians | arXiv:2408.01516v4 Announce Type: replace-cross Abstract: Sampling from Gibbs states -- states corresponding to system in thermal equilibrium -- has recently been shown to be a task for which quantum computers are expected to achieve super-polynomial speed-up compared to classical computers, provided the locality of th... | https://arxiv.org/abs/2408.01516 | Academic Papers | svg |
202d3104bbb5ef3b97c4fdac5d36f64cc61fe6fb4e365766a35c770ef2447929 | 2026-01-21T00:00:00-05:00 | Fast-forwarding quantum algorithms for linear dissipative differential equations | arXiv:2410.13189v2 Announce Type: replace-cross Abstract: We establish improved complexity estimates of quantum algorithms for linear dissipative ordinary differential equations (ODEs) and show that the time dependence can be fast-forwarded to be sub-linear. Specifically, we show that a quantum algorithm based on trunc... | https://arxiv.org/abs/2410.13189 | Academic Papers | svg |
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