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65f7700a8927827006ff47acb344ab636212badb741cfa27aa65acf9d3750ab3
2026-01-21T00:00:00-05:00
Structural properties of graphs and the Universal Difference Property
arXiv:2601.14126v1 Announce Type: new Abstract: We study the Universal Difference Property (UDP) introduced by Alt{\i}nok, Anders, Arreola, Asencio, Ireland, Sar{\i}o\u{g}lan, and Smith, focusing on the relationship between the structural properties of a graph and UDP. We present condtions for when UDP must hold on uni...
https://arxiv.org/abs/2601.14126
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64cc630a4ece9d45dd9c95d1a90403401e3857bc174703c8892412c631d7d36e
2026-01-21T00:00:00-05:00
Scheme theory for commutative semirings
arXiv:2601.14136v1 Announce Type: new Abstract: In this survey, we describe two different approaches to constructing affine schemes for commutative semirings: one based on prime ideals, and another based on prime kernels (also called subtractive ideals). We then explain how these two approaches are related through the ...
https://arxiv.org/abs/2601.14136
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e9a0dda50a05607e9ff6f49f06b08fe561680257c2163313a33deffe0070da85
2026-01-21T00:00:00-05:00
A global stochastic maximum principle for delayed forward-backward stochastic control systems
arXiv:2601.14138v1 Announce Type: new Abstract: In this paper, we study a delayed forward-backward stochastic control system in which all the coefficients depend on the state and control terms, and the control domain is not necessarily convex. A global stochastic maximum principle is obtained by using a new method. Mor...
https://arxiv.org/abs/2601.14138
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1c767aca1be3c2854351361222ffd6a18328d85adc421ec3667e7d31541c1c33
2026-01-21T00:00:00-05:00
Symmetry Breaking and Phase Transitions in Random Non-Commutative Geometries and Related Random-Matrix Ensembles
arXiv:2601.14141v1 Announce Type: new Abstract: Ensembles of random fuzzy non-commutative geometries may be described in terms of finite (\(N^2\)-dimensional) Dirac operators and a probability measure. Dirac operators of type \((p,q)\) are defined in terms of commutators and anti-commutators of \(2^{p+q-1}\) hermitian ...
https://arxiv.org/abs/2601.14141
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54fc60d24da34295d6185087fa2c3b08df0dea97aa11d5b76ebc6ab3f465d206
2026-01-21T00:00:00-05:00
On the $p$-adic deformation problem for the $K$-theory of semistable schemes
arXiv:2601.14146v1 Announce Type: new Abstract: We establish a semistable generalization of the Beilinson-Bloch-Esnault-Kerz fiber square, relating the algebraic K-theory of a semistable scheme to its logarithmic topological cyclic homology. We prove that the obstruction to lifting K-theory classes is governed by the H...
https://arxiv.org/abs/2601.14146
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69fb400890bcfd9fbf8e7c3b915964ff07e3aab5b0027f71db257d9a841129e1
2026-01-21T00:00:00-05:00
Gradient Flow for Finding E-optimal Designs
arXiv:2601.14147v1 Announce Type: new Abstract: We investigate the use of Wasserstein gradient flows for finding an $E$-optimal design for a regression model. Unlike the commonly used $D$- and $L$-optimality criteria, the $E$-criterion finds a design that maximizes the smallest eigenvalue of the information matrix, and...
https://arxiv.org/abs/2601.14147
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cb3faeda4d4b5c3376087cc7c267606889e3602c8d6d88acd345b8b00a7d4853
2026-01-21T00:00:00-05:00
A Natural Representation of Volumes Yields a Remarkable Affine Consequence
arXiv:2601.14149v1 Announce Type: new Abstract: At the beginning of the 20th Century there was a growing interest for the investigation of the action of linear groups on the geometry of surfaces. In that context of ideas, the quest for a connection between curvature and the behaviour of linear groups rose naturally. Pu...
https://arxiv.org/abs/2601.14149
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6e961fdf590c2f0d358f5cfd833e1d745c8a1699aa1f1fed1b649232a51bf871
2026-01-21T00:00:00-05:00
Achievable Burning Densities of Growing Grids
arXiv:2601.14151v1 Announce Type: new Abstract: Graph burning is a discrete-time process on graphs where vertices are sequentially activated and burning vertices cause their neighbours to burn over time. In this work, we focus on a dynamic setting in which the graph grows over time, and at each step we burn vertices in...
https://arxiv.org/abs/2601.14151
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38a89ff999d987f375d356e1adffbcafb364c12b0ac27474d1bfeeff77e60a9b
2026-01-21T00:00:00-05:00
Poisson-Dirichlet graphons and permutons
arXiv:2601.14166v1 Announce Type: new Abstract: We introduce classes of supergraphs and superpermutations with novel universal graphon and permuton limiting objects whose construction involves the two-parameter Poisson-Dirichlet process introduced by Pitman and Yor (1997). We demonstrate the universality of these limit...
https://arxiv.org/abs/2601.14166
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e8cc5e9513fd3375b60ec93940bd6b9218d3f26eb6920e71a8ac1bfcc34918d0
2026-01-21T00:00:00-05:00
Heights on toric varieties for singular metrics: Local theory
arXiv:2601.14167v1 Announce Type: new Abstract: We show that the (toric) local height of a toric variety with respect to a semipositive torus-invariant singular metric is given by the integral of a concave function over a compact convex set. This generalizes a result of Burgos, Philippon, and Sombra for the case of con...
https://arxiv.org/abs/2601.14167
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f72ec01414a5450e5675a027b972fdac1b1a7c18d8e6afb0994d2d6514081ec5
2026-01-21T00:00:00-05:00
The 2-categorical S-matrix of a braided fusion 1-category is a character table
arXiv:2601.14168v1 Announce Type: new Abstract: The semisimple module categories over a braided fusion category $\mathcal{C}$ form a connected fusion 2-category $\text{Mod}(\mathcal{C})$. Its Drinfeld center $\mathcal{Z}(\text{Mod}(\mathcal{C}))$ is a braided fusion 2-category. To any braided fusion 2-category, Johnson...
https://arxiv.org/abs/2601.14168
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4f80758357c1d83e67aad239476556574e5b064de163b7f004c36d0ee9015f53
2026-01-21T00:00:00-05:00
Chaos propagation in genetic algorithms: An optimal transport approach
arXiv:2601.14169v1 Announce Type: new Abstract: Genetic algorithms are high-level heuristic optimization methods which enjoy great popularity thanks to their intuitive description, flexibility, and, of course, effectiveness. The optimization procedure is based on the evolution of possible solutions following three mech...
https://arxiv.org/abs/2601.14169
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054436b9f3b6994eea8eb1c8250f282d4021ea7df5c03f42e3b0cdee8714b3de
2026-01-21T00:00:00-05:00
Wasserstein distances between ERGMs and Erd\H{o}s-R\'enyi models
arXiv:2601.14170v1 Announce Type: new Abstract: Ferromagnetic exponential random graph models (ERGMs) are random graph models under which the presence of certain small structures (such as triangles) is encouraged; they can be constructed by tilting an Erd\H{o}s--R\'enyi model by the exponential of a particular nonlinea...
https://arxiv.org/abs/2601.14170
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3c34f56f6848e27fac4238daf018f91a99e7994627a0a4f1feb911bd9b38b49d
2026-01-21T00:00:00-05:00
Wavelet-Packet Content for Positive Operators
arXiv:2601.14174v1 Announce Type: new Abstract: We give a simple way to attach ``content" to the nodes of a wavelet packet tree when a positive operator is given. At a fixed packet depth, the packet projections split the operator into positive pieces, and this decomposition induces a boundary measure on the packet path...
https://arxiv.org/abs/2601.14174
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d52df39f43d43861ec2042a0042538a5aa4dd44ef61420f3c2476b85a0f8ce56
2026-01-21T00:00:00-05:00
Quantum mixing on large Schreier graphs
arXiv:2601.14182v1 Announce Type: new Abstract: Quantum ergodicity describes the delocalization of most eigenfunctions of Laplace-type operators on graphs or manifolds exhibiting chaotic classical dynamics. Quantum mixing is a stronger notion, additionally controlling correlations between eigenfunctions at different en...
https://arxiv.org/abs/2601.14182
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acb54bb08705042b32950c939c14f3d98b5b2a99fb27f93d6f02a2a47d88fd9d
2026-01-21T00:00:00-05:00
The nonlinear Steklov problem in outward cuspidal domains
arXiv:2601.14186v1 Announce Type: new Abstract: In this article, we consider the nonlinear Steklov eigenvalue problem in outward cuspidal domains. Using the compactness of the weighted trace embedding we obtain the variational characterization of the first non-trivial eigenvalue and prove the existence of a correspondi...
https://arxiv.org/abs/2601.14186
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2de155d95fc5fb3d9cd09ccac6c6e34c430314b6ccb827ddb10b93ce3c6b1351
2026-01-21T00:00:00-05:00
From big q-Jacobi and Chebyshev polynomials to exponential-reproducing subdivision: new identities
arXiv:2601.14189v1 Announce Type: new Abstract: In this paper we derive new identities satisfied by Chebyshev polynomials of the first kind and big q-Jacobi polynomials. An immediate benefit of the derived identities is the achievement of closed-form expressions for the Laurent polynomials that identify minimum-support...
https://arxiv.org/abs/2601.14189
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afc47ad1fd13df652976cbd6cea94f548c5e377e0be1c0c4565d56b32e97f0c0
2026-01-21T00:00:00-05:00
Translation invariant curvature measures of convex bodies
arXiv:2601.14193v1 Announce Type: new Abstract: In a series of papers, Weil initiated the investigation of translation invariant curvature measures of convex bodies, which include as prime examples Federer's curvature measures. In this paper, we continue this line of research by introducing new tools to study curvature...
https://arxiv.org/abs/2601.14193
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d17d55e74bf3b2094fe3a2a0fecaed81af7c97c3e742ac6758495dde89d98a70
2026-01-21T00:00:00-05:00
Local electrical impedance tomography via projections
arXiv:2601.14198v1 Announce Type: new Abstract: This paper introduces a method for approximately eliminating the effect that conductivity changes outside the region of interest have in electrical impedance tomography, allowing to form a local reconstruction in the region of interest only. The method considers the Jacob...
https://arxiv.org/abs/2601.14198
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435b27e7867278e1607b588a3481b07399badd6572bb1e6fe77ec363fb52c6fb
2026-01-21T00:00:00-05:00
Convergence analysis and a novel Lagrange multiplier partitioned method for fluid-poroelastic interaction
arXiv:2601.14201v1 Announce Type: new Abstract: We propose a partitioned method for the monolithic formulation of the Stokes-Biot system that incorporates Lagrange multipliers enforcing the interface conditions. The monolithic system is discretized using finite elements, and we establish convergence of the resulting ap...
https://arxiv.org/abs/2601.14201
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a32538513b600c9bffcb1975da2954350cce5d30c208b06fbca4ee716c0a4d25
2026-01-21T00:00:00-05:00
Storage-Rate Trade-off in A-XPIR
arXiv:2601.14202v1 Announce Type: new Abstract: We consider the storage problem in an asymmetric $X$-secure private information retrieval (A-XPIR) setting. The A-XPIR setting considers the $X$-secure PIR problem (XPIR) when a given arbitrary set of servers is communicating. We focus on the trade-off region between the ...
https://arxiv.org/abs/2601.14202
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97683481bcd2e9416516af7fb48c18e531e56759b68d1a829d0922594188c958
2026-01-21T00:00:00-05:00
Tropical Methods for Counting Plane Curves -- Complex, Real and Quadratically Enriched
arXiv:2601.14216v1 Announce Type: new Abstract: Since the first famous correspondence theorem by Mikhalkin appeared in 2005, tropical geometry has allowed a parallel treatment of real and complex counting problems. A prime example are the genus 0 Gromov-Witten invariants of the plane which count rational plane curves o...
https://arxiv.org/abs/2601.14216
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46acdbf8c6202963ce53085a57060bfe62ed9326fd5ba3f5d5706b370156eb7c
2026-01-21T00:00:00-05:00
Symmetry Testing in Time Series using Ordinal Patterns: A U-Statistic Approach
arXiv:2601.14223v1 Announce Type: new Abstract: We introduce a general framework for testing temporal symmetries in time series based on the distribution of ordinal patterns. While previous approaches have focused on specific forms of asymmetry, such as time reversal, our method provides a unified framework applicable ...
https://arxiv.org/abs/2601.14223
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941c71572fdbcdbaa2b2ecb860f0db01bbbd04c4da9fae0578307c71572c1ab9
2026-01-21T00:00:00-05:00
New Topological Restrictions For Spaces With Nonnegative Ricci Curvature
arXiv:2601.14231v1 Announce Type: new Abstract: We obtain new topological restrictions for complete Riemannian manifolds with nonnegative Ricci curvature and RCD(0,n) spaces. Our main results are a Betti number rigidity theorem which answers a question open since work of M.-T. Anderson in 1990, and a vanishing theorem ...
https://arxiv.org/abs/2601.14231
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82bcae6897f0a085209bf60c99553088109c36269bfbf01d5da98320383910fc
2026-01-21T00:00:00-05:00
Stabilizer-Assisted Inactivation Decoding of Quantum Error-Correcting Codes with Erasures
arXiv:2601.14236v1 Announce Type: new Abstract: In this work, we develop a reduced complexity maximum likelihood (ML) decoder for quantum low-density parity-check (QLDPC) codes over erasures. Our decoder combines classical inactivation decoding, which integrates peeling with symbolic guessing, with a new dual peeling p...
https://arxiv.org/abs/2601.14236
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d66148c6f355b0efa6e649dad62eed8d749f501901936efd8d5d2ea2802d596d
2026-01-21T00:00:00-05:00
Partial Linearity in Categories
arXiv:2601.14237v1 Announce Type: new Abstract: In this paper we study partial linearity in a category by replacing isomorphism between coproducts and products in a linear category with isomorphism between suitable monoidal structures on a category. The main results a coherence theorem and a generalization of the theor...
https://arxiv.org/abs/2601.14237
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1014e579b8b35986456fca8b5e424acd7222d0849fe0665809ce4e4fc5a5e1d4
2026-01-21T00:00:00-05:00
Conformal dimension and its attainment on self-similar Laakso-type fractal spaces
arXiv:2601.14241v1 Announce Type: new Abstract: A general construction of Laakso-type fractal spaces was recently introduced by the first two authors. In this paper, we establish a simple condition characterizing when the Ahlfors regular conformal dimension of a symmetric Laakso-type fractal space is attained. The atta...
https://arxiv.org/abs/2601.14241
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7f552a18cbb9c950ccfc4552ec3588aa15fa1657c7d477788e5456f4c2e589eb
2026-01-21T00:00:00-05:00
Detecting Limit Tori in Non-Smooth Systems: An Analytic Approach with Applications to 3D Piecewise Linear Systems
arXiv:2601.14247v1 Announce Type: new Abstract: This work investigates a class of non-autonomous $T$-periodic piecewise smooth differential systems and their associated time-$T$ maps. Our main result provides an analytical approach for detecting, within this class of piecewise differential systems, isolated invariant t...
https://arxiv.org/abs/2601.14247
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da557c619f154bb571fca305a99974ecdef4e33c22fe753fc01ee94927040ee9
2026-01-21T00:00:00-05:00
Identification capacity and rate-query tradeoffs in classification systems
arXiv:2601.14252v1 Announce Type: new Abstract: We study a one-shot identification analogue of rate-distortion for discrete classification under three resources: tag rate L (bits of side information stored per entity), identification cost W (attribute-membership queries per identification, excluding global preprocessin...
https://arxiv.org/abs/2601.14252
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4f4a6c5c70ee7e0f0911886b395048dc841556e00a4999d2857cac50142b6455
2026-01-21T00:00:00-05:00
Post-Hoc Uncertainty Quantification in Pre-Trained Neural Networks via Activation-Level Gaussian Processes
arXiv:2502.20966v1 Announce Type: cross Abstract: Uncertainty quantification in neural networks through methods such as Dropout, Bayesian neural networks and Laplace approximations is either prone to underfitting or computationally demanding, rendering these approaches impractical for large-scale datasets. In this work...
https://arxiv.org/abs/2502.20966
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920aa89d6fcc3aadb337426f3287bbe30b0bdf246acaf4dd89dc8376f0661cbb
2026-01-21T00:00:00-05:00
Embeddings and intersections of adelic groups
arXiv:2510.22408v1 Announce Type: cross Abstract: We prove the embeddings of adelic groups $\mathbb{A}_I(X, \mathcal{F})\hookrightarrow \mathbb{A}_J(X, \mathcal{F})$ on an excellent scheme $X$ of special type, where $I\subset J$ and $\mathcal{F}$ is a flat quasicoherent sheaf on $X$. We prove the equality $\mathbb{A}_I...
https://arxiv.org/abs/2510.22408
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2b4b44fefc6c6a9bce039d4ad5dcfd1b602814d36d2156a19ef3126317bcae0c
2026-01-21T00:00:00-05:00
Phase Space Formulation of S-matrix
arXiv:2512.23100v1 Announce Type: cross Abstract: We establish an exact relation between the S-symplectomorphism and the S-matrix by means of the phase space formulation of quantum mechanics. The adjoint action of the S-matrix defines a fuzzy diffeomorphism on phase space whose classical limit is the S-symplectomorphis...
https://arxiv.org/abs/2512.23100
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455210a35b167a0490bf9b8607cfeee5a3e22d3a8dae3be082ec1c7053d135d6
2026-01-21T00:00:00-05:00
A new class of special functions arising in plasma linear susceptibility tensor calculations
arXiv:2601.11276v1 Announce Type: cross Abstract: We investigate some fundamental properties of a peculiar class of special functions strictly related to Bessel, Anger and Weber functions, whose introduction was originally motivated by linear susceptibility tensor calculations in a hot, magnetised plasma. We show that ...
https://arxiv.org/abs/2601.11276
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a1d41cb15e321cf250a59f38cfc06a614266d46abc57ce94b4201b5231f67762
2026-01-21T00:00:00-05:00
From HNSW to Information-Theoretic Binarization: Rethinking the Architecture of Scalable Vector Search
arXiv:2601.11557v1 Announce Type: cross Abstract: Modern semantic search and retrieval-augmented generation (RAG) systems rely predominantly on in-memory approximate nearest neighbor (ANN) indexes over high-precision floating-point vectors, resulting in escalating operational cost and inherent trade-offs between latenc...
https://arxiv.org/abs/2601.11557
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7132846be78d14378ee42b7bb3ad10d5e8d7ce9f22551d237dcc852aaecbca94
2026-01-21T00:00:00-05:00
On Analyzing the Conditions for Stability of Opportunistic Supply Chains Under Network Growth
arXiv:2601.11566v1 Announce Type: cross Abstract: Even large firms such as Walmart, Apple, and Coca-Cola face persistent fluctuations in costs, demand, and raw material availability. These are not \textit{rare events} and cannot be evaluated using traditional disruption models focused on infrequent events. Instead, sus...
https://arxiv.org/abs/2601.11566
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8d5054823be35593ff298279b2a1b93fd43597ce7635cfa1eb6979fb4ed57154
2026-01-21T00:00:00-05:00
Privacy-Preserving Black-Box Optimization (PBBO): Theory and the Model-Based Algorithm DFOp
arXiv:2601.11570v1 Announce Type: cross Abstract: This paper focuses on solving unconstrained privacy-preserving black-box optimization (PBBO), its corresponding least Frobenius norm updating of quadratic models, and the differentially privacy mechanisms for PBBO. Optimization problems with transformed/encrypted object...
https://arxiv.org/abs/2601.11570
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40ec6d1bd27b0e9bb755f61b0c467f291d30f8a8233f2eafec41b9c28f03459a
2026-01-21T00:00:00-05:00
Exact Computation of the Catalan Number $C(2,050,572,903)$
arXiv:2601.11621v1 Announce Type: cross Abstract: This paper presents a two-phase algorithm for computing exact Catalan numbers at an unprecedented scale. The method is demonstrated by computing $C(n)$ for $n = 2,050,572,903$ yielding a result with a targeted $1,234,567,890$ decimal digits. To circumvent the memory lim...
https://arxiv.org/abs/2601.11621
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95349a970ed10349f0054dabb7cb4620338db23b4684fb892abb984c14f88eef
2026-01-21T00:00:00-05:00
Weyl Mutations in Quiver Yangians
arXiv:2601.11736v1 Announce Type: cross Abstract: The problem of solving non-linear equations would be considerably simplified by a possibility to convert known solutions into the new ones. This could seem an element of art, but in the context of ADHM-like equations describing quiver varieties there is a systematic app...
https://arxiv.org/abs/2601.11736
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d4b5f35b4245da02ad341d310dcb2df4c6f51943f31d6910b2ea5684e39967ef
2026-01-21T00:00:00-05:00
On Nonasymptotic Confidence Intervals for Treatment Effects in Randomized Experiments
arXiv:2601.11744v1 Announce Type: cross Abstract: We study nonasymptotic (finite-sample) confidence intervals for treatment effects in randomized experiments. In the existing literature, the effective sample sizes of nonasymptotic confidence intervals tend to be looser than the corresponding central-limit-theorem-based...
https://arxiv.org/abs/2601.11744
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c4c69841ce963657bdb4f0089ca358300e7af18a9392b0f27b44edd3c8781026
2026-01-21T00:00:00-05:00
Generalized Shiraishi--Mori construction is exhaustive for ferromagnetic quantum many-body scars
arXiv:2601.11806v1 Announce Type: cross Abstract: Quantum many-body scars (QMBS) constitute a subtle violation of ergodicity through a set of non-thermal eigenstates, referred to as scar states, which are embedded in an otherwise thermal spectrum. In a broad class of known examples, these scar states admit a simple int...
https://arxiv.org/abs/2601.11806
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2aecd841d2f596ba0b8bc3bf212e2083a6fec03071c320412a2939521e69cbd2
2026-01-21T00:00:00-05:00
Analysis of a Random Local Search Algorithm for Dominating Set
arXiv:2601.11841v1 Announce Type: cross Abstract: Dominating Set is a well-known combinatorial optimization problem which finds application in computational biology or mobile communication. Because of its $\mathrm{NP}$-hardness, one often turns to heuristics for good solutions. Many such heuristics have been empiricall...
https://arxiv.org/abs/2601.11841
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2580ba1aa5e1f27c712b6a8f052d1144b128d5797253eaa0c0df20afc0ce26c6
2026-01-21T00:00:00-05:00
Necessity of Cooperative Transmissions for Wireless MapReduce
arXiv:2601.11844v1 Announce Type: cross Abstract: The paper presents an improved upper bound (achievability result) on the optimal tradeoff between Normalized Delivery Time (NDT) and computation load for distributed computing MapReduce systems in certain ranges of the parameters. The upper bound is based on interferenc...
https://arxiv.org/abs/2601.11844
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9e623440ca5cd86a37efa45bb302fe965b5f845c5b722ae606c2b1693322c46f
2026-01-21T00:00:00-05:00
Least-Squares Multi-Step Koopman Operator Learning for Model Predictive Control
arXiv:2601.11901v1 Announce Type: cross Abstract: MPC is widely used in real-time applications, but practical implementations are typically restricted to convex QP formulations to ensure fast and certified execution. Koopman-based MPC enables QP-based control of nonlinear systems by lifting the dynamics to a higher-dim...
https://arxiv.org/abs/2601.11901
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dbe0f564e7e521bb3bf7a79d7b786ed344d8f21bb598a7ce17cb353b5b0a8a7b
2026-01-21T00:00:00-05:00
LIBRA: Language Model Informed Bandit Recourse Algorithm for Personalized Treatment Planning
arXiv:2601.11905v1 Announce Type: cross Abstract: We introduce a unified framework that seamlessly integrates algorithmic recourse, contextual bandits, and large language models (LLMs) to support sequential decision-making in high-stakes settings such as personalized medicine. We first introduce the recourse bandit pro...
https://arxiv.org/abs/2601.11905
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1d8c20ad03b01ec9d5eddfd140c82703bed4ebc6cbdc7583da223ad38f184a9a
2026-01-21T00:00:00-05:00
A Constraint Programming Model for the Super-Agile Earth Observation Satellite Imaging Scheduling Problem
arXiv:2601.11967v1 Announce Type: cross Abstract: As the dependence on satellite imaging continues to grow, modern satellites have become increasingly agile, with the new generation, namely super-agile Earth observation satellites (SAEOS), providing unprecedented imaging flexibility. The highly dynamic capabilities of ...
https://arxiv.org/abs/2601.11967
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b184e435ec0daa2e15214088da90bc9b70fa4e8cf37d2943c27331dad2a22cf6
2026-01-21T00:00:00-05:00
Parameterized Complexity of Scheduling Problems in Robotic Process Automation
arXiv:2601.11984v1 Announce Type: cross Abstract: This paper studies the growing domain of Robotic Process Automation (RPA) problems. Motivated by scheduling problems arising in RPA, we study the parameterized complexity of the single-machine problem $1|\text{prec},r_j,d_j|*$. We focus on parameters naturally linked to...
https://arxiv.org/abs/2601.11984
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08734ae5c4fc0d0337728a89aa425b11ddc03d27dd1e86e3cc1e0063bcbb3d71
2026-01-21T00:00:00-05:00
A method for optimizing the structure of the software and hardware complex of a distributed process control system for large industrial enterprises
arXiv:2601.12070v1 Announce Type: cross Abstract: The article proposes a method for optimizing the structure of the software and hardware complex of an automated control system for continuous technological processes for large industrial enterprises. General information is given on the relevance of the problem of choosi...
https://arxiv.org/abs/2601.12070
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cb329a9f92b8f74ea77c562e9d18e19448eb85e698f211b5d3db162a4dadafe7
2026-01-21T00:00:00-05:00
Peres-type Criterion of Einstein-Podolsky-Rosen Steering for Two Qubits
arXiv:2601.12085v1 Announce Type: cross Abstract: Quantum nonlocality manifests in multipartite systems through entanglement, Bell's nonlocality, and Einstein-Podolsky-Rosen (EPR) steering. While Peres's positive-partial-transpose criterion provides a simple and powerful test for entanglement, a comparably elegant spec...
https://arxiv.org/abs/2601.12085
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665a30e955557ea34c4ef865d9f95317af2bc783b59e4770cdc83ee7aba3cbb9
2026-01-21T00:00:00-05:00
Tensionless spinning string: emergence of world-sheet torsion and covariant density of energy-momentum tensor
arXiv:2601.12086v1 Announce Type: cross Abstract: The action of tensionless spinning string invariant under reparametrizions, both local supersymmetry and dilatations, is considered. The density of energy-momentum tensor is constructed and vanishing of its covariant divergence is proved. This result arises from mutual ...
https://arxiv.org/abs/2601.12086
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41beacd0baa3728a1fdf05e5ded64f5c415e54f2179d2fcaeac5352965ba3a96
2026-01-21T00:00:00-05:00
On the Provable Suboptimality of Momentum SGD in Nonstationary Stochastic Optimization
arXiv:2601.12238v1 Announce Type: cross Abstract: While momentum-based acceleration has been studied extensively in deterministic optimization problems, its behavior in nonstationary environments -- where the data distribution and optimal parameters drift over time -- remains underexplored. We analyze the tracking perf...
https://arxiv.org/abs/2601.12238
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c4bc7ddf1d738fb09ae1720db90945ecb0bccd90ea4279a8f568a1749fe9f542
2026-01-21T00:00:00-05:00
DeepRAHT: Learning Predictive RAHT for Point Cloud Attribute Compression
arXiv:2601.12255v1 Announce Type: cross Abstract: Regional Adaptive Hierarchical Transform (RAHT) is an effective point cloud attribute compression (PCAC) method. However, its application in deep learning lacks research. In this paper, we propose an end-to-end RAHT framework for lossy PCAC based on the sparse tensor, c...
https://arxiv.org/abs/2601.12255
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35e098bd8a728311c0182347cec83a60472cc18f89c40f82f584e73685aab141
2026-01-21T00:00:00-05:00
Topological quantum color code model on infinite lattice
arXiv:2601.12409v1 Announce Type: cross Abstract: The color code model is a crucial instance of a Calderbank--Shor--Steane (CSS)-type topological quantum error-correcting code, which notably supports transversal implementation of the full Clifford group. Its robustness against local noise is rooted in the structure of ...
https://arxiv.org/abs/2601.12409
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3a4dd584267f6461e1e37a64d324d4f421e4cbc0a676f03c2b702c12868a6ba1
2026-01-21T00:00:00-05:00
A Mixture of Experts Vision Transformer for High-Fidelity Surface Code Decoding
arXiv:2601.12483v1 Announce Type: cross Abstract: Quantum error correction is a key ingredient for large scale quantum computation, protecting logical information from physical noise by encoding it into many physical qubits. Topological stabilizer codes are particularly appealing due to their geometric locality and pra...
https://arxiv.org/abs/2601.12483
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30fa0f47b028d041c1ad4eda1ca36a92e828cc598d9baa613c09457b1ddbf8a9
2026-01-21T00:00:00-05:00
Rerandomization for quantile treatment effects
arXiv:2601.12540v1 Announce Type: cross Abstract: Although complete randomization is widely regarded as the gold standard for causal inference, covariate imbalance can still arise by chance in finite samples. Rerandomization has emerged as an effective tool to improve covariate balance across treatment groups and enhan...
https://arxiv.org/abs/2601.12540
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1f5a2308476c026bf515c1490e1a799273c512d6825b6c5709c4fdba683d385c
2026-01-21T00:00:00-05:00
Quantum Filtering for Squeezed Noise Inputs
arXiv:2601.12564v1 Announce Type: cross Abstract: We derive the quantum filter for a quantum open system undergoing quadrature measurements (homodyning) where the input field is in a general quasi-free state. This extends previous work for thermal input noise and allows for squeezed inputs. We introduce a convenient cl...
https://arxiv.org/abs/2601.12564
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ef6e40f65b22c6f8189ede8cc203fdb0a1cf7793af2326cddaf5490effa27e85
2026-01-21T00:00:00-05:00
Partial Identification under Stratified Randomization
arXiv:2601.12566v1 Announce Type: cross Abstract: This paper develops a unified framework for partial identification and inference in stratified experiments with attrition, accommodating both equal and heterogeneous treatment shares across strata. For equal-share designs, we apply recent theory for finely stratified ex...
https://arxiv.org/abs/2601.12566
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88582ddc96b0fe78f0470d0c4a964ddbbda229764ed4cdacbc23e62ce12dfa4a
2026-01-21T00:00:00-05:00
Angular Sensing by Highly Reconfigurable Pixel Antennas with Joint Radiating Aperture and Feeding Ports Reconfiguration
arXiv:2601.12867v1 Announce Type: cross Abstract: Angular sensing capability is realized using highly reconfigurable pixel antenna (HRPA) with joint radiating aperture and feeding ports reconfiguration. Pixel antennas represent a general class of reconfigurable antenna designs in which the radiating surface, regardless...
https://arxiv.org/abs/2601.12867
Academic Papers
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82fd460da80f66363e03ba647d648657d712276410a0d7dbf9ce195cf48a1bb1
2026-01-21T00:00:00-05:00
Transverse modulation in electrovac Brinkmann pp-waves: Maxwell consistency and curvature universality
arXiv:2601.12949v1 Announce Type: cross Abstract: Electrovac pp--waves in Brinkmann form provide exact Einstein--Maxwell solutions for co--propagating null radiation. Motivated by lensing or scattering, one often ``modulates'' a plane electromagnetic wave by a weak transverse envelope $1+\gamma f(x,y)$. We show that, w...
https://arxiv.org/abs/2601.12949
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7fbd92a2ec6bc6bd2f3d94c8cc61cd03d7146acdcab24c014cc84b31ad220d8d
2026-01-21T00:00:00-05:00
When Is Distributed Nonlinear Aggregation Private? Optimality and Information-Theoretical Bounds
arXiv:2601.13001v1 Announce Type: cross Abstract: Nonlinear aggregation is central to modern distributed systems, yet its privacy behavior is far less understood than that of linear aggregation. Unlike linear aggregation where mature mechanisms can often suppress information leakage, nonlinear operators impose inherent...
https://arxiv.org/abs/2601.13001
Academic Papers
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3872904900d24146ed5a5caf7335ea0998718a210052a6e8ab1d270412f7a2f6
2026-01-21T00:00:00-05:00
On nonlinear self-duality in $4p$ dimensions
arXiv:2601.13022v1 Announce Type: cross Abstract: We demonstrate that every model for self-dual nonlinear electrodynamics in four dimensions has a $\mathsf{U}(1)$ duality-invariant extension to $4p>4$ dimensions.
https://arxiv.org/abs/2601.13022
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ccce744452a61b96b551bd030eabc3850bc643daffff6e8354e15f3311aae672
2026-01-21T00:00:00-05:00
Failure of the mean-field Hartree approximation for a bosonic many-body system with non-Hermitian Hamiltonian
arXiv:2601.13038v1 Announce Type: cross Abstract: Mean-field Hartree theory is a central tool for reducing interacting many-body dynamics to an effective nonlinear one-particle evolution. This approximation has been employed also when the Hamiltonian that governs the many-body dynamics is not Hermitian. Indeed, non-Her...
https://arxiv.org/abs/2601.13038
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0319bfe851f9ac8ce40917816c550560c8bbc68c353b0420408f45a9c6629303
2026-01-21T00:00:00-05:00
Approximate full conformal prediction in RKHS
arXiv:2601.13102v1 Announce Type: cross Abstract: Full conformal prediction is a framework that implicitly formulates distribution-free confidence prediction regions for a wide range of estimators. However, a classical limitation of the full conformal framework is the computation of the confidence prediction regions, w...
https://arxiv.org/abs/2601.13102
Academic Papers
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c685618bed5a7a6a8a7045217365341dbeeb5830e9c68b70fce40136bca7acb8
2026-01-21T00:00:00-05:00
Global stability of a Hebbian/anti-Hebbian network for principal subspace learning
arXiv:2601.13170v1 Announce Type: cross Abstract: Biological neural networks self-organize according to local synaptic modifications to produce stable computations. How modifications at the synaptic level give rise to such computations at the network level remains an open question. Pehlevan et al. [Neur. Comp. 27 (2015...
https://arxiv.org/abs/2601.13170
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f0a51a6a9ed0a2a71307409bc8c37e8d11f639f3d8eb26a838cde1911425750e
2026-01-21T00:00:00-05:00
Decentralized Cooperative Beamforming for BDRIS-Assisted Cell-Free MIMO OFDM Systems
arXiv:2601.13201v1 Announce Type: cross Abstract: In this paper, a wideband cell-free multi-stream multi-user Multiple-Input Multiple-Output (MIMO) Orthogonal Frequency Division Multiplexing (OFDM) system is considered operating within a smart wireless environment enabled by multiple Beyond Diagonal Reconfigurable Inte...
https://arxiv.org/abs/2601.13201
Academic Papers
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5094db56418956663926c9d5230d39909704153bd36e24b6c458d078017fa436
2026-01-21T00:00:00-05:00
Bihamiltonian tests for integrable systems associated to rank-$1$ F-CohFTs
arXiv:2601.13203v1 Announce Type: cross Abstract: Double ramification (DR) hierarchies associated to rank-$1$ F-CohFTs are important integrable perturbations of the Riemann--Hopf hierarchy. In this paper, we perform bihamiltonian tests for these DR hierarchies, and conjecture that the ones that are bihamiltonian form a...
https://arxiv.org/abs/2601.13203
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c9707dce5dc7d0f6bad90ac9d7ec67fd6c44cef62cf4836026d387944339ad11
2026-01-21T00:00:00-05:00
Hierarchical Sparse Vector Transmission for Ultra Reliable and Low Latency Communications
arXiv:2601.13204v1 Announce Type: cross Abstract: Sparse vector transmission (SVT) is a promising candidate technology for achieving ultra-reliable low-latency communication (URLLC). In this paper, a hierarchical SVT scheme is proposed for multi-user URLLC scenarios. The hierarchical SVT scheme partitions the transmitt...
https://arxiv.org/abs/2601.13204
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4881ad662ba2b910c61d40fdd24f36e58606e7206094b6c8748a7cd95bdf74a9
2026-01-21T00:00:00-05:00
The table maker's quantum search
arXiv:2601.13306v1 Announce Type: cross Abstract: We show that quantum search can be used to compute the hardness to round an elementary function, that is, to determine the minimum working precision required to compute the values of an elementary function correctly rounded to a target precision of $n$ digits for all po...
https://arxiv.org/abs/2601.13306
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c81690d05e4d447e1204bce0a44eb03a4c6e3c256e20474765af9ea07ccb54d6
2026-01-21T00:00:00-05:00
Renewal theory for Brownian motion across a stochastically gated interface
arXiv:2601.13414v1 Announce Type: cross Abstract: Stochastically gated interfaces play an important role in a variety of cellular diffusion processes. Examples include intracellular transport via stochastically gated ion channels and pores in the plasma membrane of a cell, intercellular transport between cells coupled ...
https://arxiv.org/abs/2601.13414
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cbe4de976e71d57363f7298b42d7fe3efd33653f468804c010ba0d947d68cb11
2026-01-21T00:00:00-05:00
Optimal estimation of generalized causal effects in cluster-randomized trials with multiple outcomes
arXiv:2601.13428v1 Announce Type: cross Abstract: Cluster-randomized trials (CRTs) are widely used to evaluate group-level interventions and increasingly collect multiple outcomes capturing complementary dimensions of benefit and risk. Investigators often seek a single global summary of treatment effect, yet existing m...
https://arxiv.org/abs/2601.13428
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15c543de1e58cd5cdb56e5159c276bcbeee6e4b9cc00aa36702f8add7d712628
2026-01-21T00:00:00-05:00
Distribution-Free Confidence Ellipsoids for Ridge Regression with PAC Bounds
arXiv:2601.13436v1 Announce Type: cross Abstract: Linearly parametrized models are widely used in control and signal processing, with the least-squares (LS) estimate being the archetypical solution. When the input is insufficiently exciting, the LS problem may be unsolvable or numerically unstable. This issue can be re...
https://arxiv.org/abs/2601.13436
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2db52718bb4d85e9eef539d61a8dfb216059a3eec583317d145150d4eab6cb98
2026-01-21T00:00:00-05:00
Labels or Preferences? Budget-Constrained Learning with Human Judgments over AI-Generated Outputs
arXiv:2601.13458v1 Announce Type: cross Abstract: The increasing reliance on human preference feedback to judge AI-generated pseudo labels has created a pressing need for principled, budget-conscious data acquisition strategies. We address the crucial question of how to optimally allocate a fixed annotation budget betw...
https://arxiv.org/abs/2601.13458
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77f8f15df5d7d5e6ab3d7a9f577d80fa3260f2527e9c4324d9f700a1121b1202
2026-01-21T00:00:00-05:00
Quantum Entanglement, Stratified Spaces, and Topological Matter: Towards an Entanglement-Sensitive Langlands Correspondence
arXiv:2601.13467v1 Announce Type: cross Abstract: Recently, quantum entanglement has been presented as a cohomological obstruction to reconstructing a global quantum state from locally compatible information, where sheafification provides a functor that is forgetful with regards to global-from-local signatures while ac...
https://arxiv.org/abs/2601.13467
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db7c6a6ccc9acbda55559bb616749bb13450fdbd91142bbbab817f8abd7baef6
2026-01-21T00:00:00-05:00
Resampling-free Inference for Time Series via RKHS Embedding
arXiv:2601.13468v1 Announce Type: cross Abstract: In this article, we study nonparametric inference problems in the context of multivariate or functional time series, including testing for goodness-of-fit, the presence of a change point in the marginal distribution, and the independence of two time series, among others...
https://arxiv.org/abs/2601.13468
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b8f948f395492d6e2ae361aef09bd4ee61c427b7a561ba878fa748d925c3b3ba
2026-01-21T00:00:00-05:00
Small Gradient Norm Regret for Online Convex Optimization
arXiv:2601.13519v1 Announce Type: cross Abstract: This paper introduces a new problem-dependent regret measure for online convex optimization with smooth losses. The notion, which we call the $G^\star$ regret, depends on the cumulative squared gradient norm evaluated at the decision in hindsight $\sum_{t=1}^T \|\nabla ...
https://arxiv.org/abs/2601.13519
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4c2a02afff925cfe4be6f76401f5b83c0156848024a02bb5b15592a8f1c59c7c
2026-01-21T00:00:00-05:00
Near-field Physical Layer Security: Robust Beamforming under Location Uncertainty
arXiv:2601.13549v1 Announce Type: cross Abstract: In this paper, we study robust beamforming design for near-field physical-layer-security (PLS) systems, where a base station (BS) equipped with an extremely large-scale array (XL-array) serves multiple near-field legitimate users (Bobs) in the presence of multiple near-...
https://arxiv.org/abs/2601.13549
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3cb2c7424c11ee6c214a4a3badfd643c8c13dbb52cd5e31e55faa65375af8ac1
2026-01-21T00:00:00-05:00
Additive-Functional Approach to Transport in Periodic and Tilted Periodic Potentials
arXiv:2601.13561v1 Announce Type: cross Abstract: We present a unified theoretical framework for effective transport in periodic and tilted periodic potentials based on additive functionals of stochastic processes. By systematically combining the Poisson equation, corrector construction, and martingale decomposition, w...
https://arxiv.org/abs/2601.13561
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4df5d654566ae6a279d2d19a1dd59e076076d9b964cb10f22e112b8ba6352cd1
2026-01-21T00:00:00-05:00
Cost-Effectiveness of Adult Hepatitis A Vaccination Strategies in Korea Under an Aging Susceptibility Profile
arXiv:2601.13714v1 Announce Type: cross Abstract: Hepatitis A severity increases sharply with age, while Korea is experiencing a cohort shift in which low seroprevalence adult cohorts are aging into older, higher fatality age groups. This demographic and immunological transition creates an urgent policy question regard...
https://arxiv.org/abs/2601.13714
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e4f9caa6fc0e0628d6dceda947678cc8d9424b00d5684068ed277536bf3a2174
2026-01-21T00:00:00-05:00
Soliton dynamics in the ABS nonlinear spinor model with external fields
arXiv:2601.13783v1 Announce Type: cross Abstract: We consider the novel nonlinear model in (1 + 1)-dimensions for Dirac spinors recently introduced by Alexeeva, Barashenkov, and Saxena [1] (ABS model), which admits an exact explicit solitary-wave (soliton for short) solution. The charge, the momentum, and the energy of...
https://arxiv.org/abs/2601.13783
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ab7e3c3e31923064cd363baf3f74989096e27f3a27484eaf673f87624ca4ba86
2026-01-21T00:00:00-05:00
Composing $p$-adic qubits: from representations of SO(3)$_p$ to entanglement and universal quantum logic gates
arXiv:2601.13808v1 Announce Type: cross Abstract: In the context of $p$-adic quantum mechanics, we investigate composite systems of $p$-adic qubits and $p$-adically controlled quantum logic gates. We build on the notion of a single $p$-adic qubit as a two-dimensional irreducible representation of the compact $p$-adic s...
https://arxiv.org/abs/2601.13808
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3ef8bd01c5d2e6bb2a5404268805f7c67f256bd68cdc3811e950dcdeaeb1d35e
2026-01-21T00:00:00-05:00
Achieving Full Multipath Diversity by Random Constellation Rotation: a Theoretical Perspective
arXiv:2601.13997v1 Announce Type: cross Abstract: Diversity is an essential concept associated with communication reliability in multipath channels since it determines the slope of bit error rate performance in the medium to high signal-to-noise ratio regions. However, most of the existing analytical frameworks were de...
https://arxiv.org/abs/2601.13997
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535d8dce95a9c51405025998fee06c5bf428545a846a07735e05dad6e1dd89f0
2026-01-21T00:00:00-05:00
The rate of purification of quantum trajectories
arXiv:2601.14023v1 Announce Type: cross Abstract: We investigate the behavior of quantum trajectories conditioned on measurement outcomes. Under a condition related to the absence of so-called dark subspaces, K\"{u}mmerer and Maassen had shown that such trajectories almost surely purify in the long run. In this article...
https://arxiv.org/abs/2601.14023
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cb147f2debe8fb5ea576cfe2fd60ebad614084a6b13baaedbc478ef1abe2f546
2026-01-21T00:00:00-05:00
Performance enhancing of hybrid quantum-classical Benders approach for MILP optimization
arXiv:2601.14024v1 Announce Type: cross Abstract: Mixed-integer linear programming problems are extensively used in industry for a wide range of optimization tasks. However, as they get larger, they present computational challenges for classical solvers within practical time limits. Quantum annealers can, in principle,...
https://arxiv.org/abs/2601.14024
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60d55d856807ca5a07c76bba12905b69a2f478acb52dab0ce216d59383f0c029
2026-01-21T00:00:00-05:00
Generalised contextuality of continuous variable quantum theory can be revealed with a single projective measurement
arXiv:2601.14067v1 Announce Type: cross Abstract: Generalized contextuality is a possible indicator of non-classical behaviour in quantum information theory. In finite-dimensional systems, this is justified by the fact that noncontextual theories can be embedded into some simplex, i.e. into a classical theory. We show ...
https://arxiv.org/abs/2601.14067
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23ed4c40791de506aedd168a2a3ca6bf5b984295469989ab852244da88d6b595
2026-01-21T00:00:00-05:00
Sharp Inequalities for Schur-Convex Functionals of Partial Traces over Unitary Orbits
arXiv:2601.14158v1 Announce Type: cross Abstract: While many bounds have been proved for partial trace inequalities over the last decades for a large variety of quantities, recent problems in quantum information theory demand sharper bounds. In this work, we study optimal bounds for partial trace quantities in terms of...
https://arxiv.org/abs/2601.14158
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1b2d9ba531cf698dbd0ed8ccd05926bbff66a10edc4dd5838806029caf3d5f8c
2026-01-21T00:00:00-05:00
Purity of branch and critical locus
arXiv:1003.5872v5 Announce Type: replace Abstract: To a dominant morphism $X/S \to Y/S$ of N\oe therian integral $S$-schemes one has the inclusion $C_{X/Y}\subset B_{X/Y}$ of the critical locus in the branch locus of $X/Y$. Starting from the notion of locally complete intersection morphisms, we give conditions on the m...
https://arxiv.org/abs/1003.5872
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35a303662b08ea20444aa469d5ac80d069b959b2bd49c6c0c7c17b9c814984d8
2026-01-21T00:00:00-05:00
On the birational geometry of the parameter space for codimension 2 complete intersections
arXiv:1212.4862v2 Announce Type: replace Abstract: Codimension 2 complete intersections in P^N have a natural parameter space \bar{H}: a projective bundle over a projective space given by the choice of the lower degree equation and of the higher degree equation up to a multiple of the first. Motivated by the question o...
https://arxiv.org/abs/1212.4862
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e78e590e1f168a570bf245316ac4ddcc45743606d30d46419f579ee365e9b809
2026-01-21T00:00:00-05:00
Hyperbolicity via Geodesic Stability
arXiv:1504.06863v3 Announce Type: replace Abstract: A geodesic $g$ is Morse, for every $L \geq 1, A \geq 0$ there exists a $C=C_g(L,A)$ such that any $(L,A)$-quasi-geodesic connecting two points on $g$ stays $C$-close to $g$. The Morse lemma implies that in a hyperbolic space every geodesic is Morse. Here we prove the ...
https://arxiv.org/abs/1504.06863
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c6dd6b818ac98a8d198ac0160748d44333b6a544043721be35a8ee1a39e27e28
2026-01-21T00:00:00-05:00
Chernoff bounds for branching random walks
arXiv:1604.00056v4 Announce Type: replace Abstract: Concentration inequalities, which have proved very useful in a variety of fields, provide fairly tight bounds on large deviation probabilities while central limit theorem (CLT) describes the asymptotic distribution around the mean (at the $\sqrt{n}$ scale). Harris (19...
https://arxiv.org/abs/1604.00056
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83bee6fcd5566e2edb191c5aa4e43c40e795314078488cf947663dbd6a30ba7c
2026-01-21T00:00:00-05:00
Some properties of the A$_{\infty}$-nerve
arXiv:1609.00566v2 Announce Type: replace Abstract: The aim of this paper is to prove that the A$_{\infty}$-nerve of two quasi-equivalent A$_{\infty}$-categories (linear over a commutative ring) are weak-equivalent in the Joyal model structure. As a consequence we prove that the A$_{\infty}$-nerve of a pretriangulated ...
https://arxiv.org/abs/1609.00566
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f91fb6e6269887d2fd3f97164c591a68606f44bc728b90950581c143e12de531
2026-01-21T00:00:00-05:00
On a certain subclass of strongly starlike functions
arXiv:1811.01271v4 Announce Type: replace Abstract: Let $\mathcal{S}^*(\alpha_1,\alpha_2)$, where $ \alpha_1, \alpha_2 \in (0,1]$, represent the class of functions $f$ that are analytic in the open unit disk $\mathbb{D}$, normalized by $f(0) = f'(0) - 1=0$, and satisfying the following double-sided inequality: \begin{e...
https://arxiv.org/abs/1811.01271
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bb79cd14f23d13d469c506433915f7ed479330cd11ccf53653862595d332362b
2026-01-21T00:00:00-05:00
Linear resolution of products of monomial ideals related to maximal minors
arXiv:1902.09748v3 Announce Type: replace Abstract: Let $ X $ be an $ m \times n $ matrix of distinct indeterminates over a field $ K $, where $ m \le n $. Set the polynomial ring $ K[X] := K[X_{ij} : 1 \le i \le m, 1 \le j \le n] $. Let $ 1 \le k < l \le n $ be such that $ l - k + 1 \ge m $. Consider the submatrix $ Y...
https://arxiv.org/abs/1902.09748
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33cf19ca0e1bbb04e694d9825a4fe147bde866c1780c3ed0eabcc7a3c253af09
2026-01-21T00:00:00-05:00
Branching rules for winding subalgebras of the affine Kac--Moody algebras $A^{(1)}_1$ and $A^{(2)}_2$
arXiv:1911.03316v5 Announce Type: replace Abstract: We study branching problems for affine Kac--Moody algebras. Unlike the finite-dimensional case, an affine Kac--Moody algebra may contain proper subalgebras isomorphic to itself, such as winding subalgebras obtained by rescaling the loop parameter. We investigate the r...
https://arxiv.org/abs/1911.03316
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01bd1e76412c04eb4a4958658d80612e88c4c5d8d9c626893d3938862c0cd90f
2026-01-21T00:00:00-05:00
Boosted optimal weighted least-squares
arXiv:1912.07075v3 Announce Type: replace Abstract: This paper is concerned with the approximation of a function $u$ in a given approximation space $V_m$ of dimension $m$ from evaluations of the function at $n$ suitably chosen points. The aim is to construct an approximation of $u$ in $V_m$ which yields an error close ...
https://arxiv.org/abs/1912.07075
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c1f801f332418c9c1a8b7f1f86bc68ea97cffb3902943257c1f5233ed3669c63
2026-01-21T00:00:00-05:00
A Control-Theoretic Perspective on Optimal High-Order Optimization
arXiv:1912.07168v5 Announce Type: replace Abstract: We provide a control-theoretic perspective on optimal tensor algorithms for minimizing a convex function in a finite-dimensional Euclidean space. Given a function $\Phi: \mathbb{R}^d \rightarrow \mathbb{R}$ that is convex and twice continuously differentiable, we stud...
https://arxiv.org/abs/1912.07168
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35a7c7e7394be9398db5b8a204c787e24423ad28c561473bdab349cdffa0b66f
2026-01-21T00:00:00-05:00
Hochschild homology and the derived de Rham complex revisited
arXiv:2007.02576v3 Announce Type: replace Abstract: We characterize two objects by universal property: the derived de Rham complex and Hochschild homology together with its Hochschild-Kostant-Rosenberg (HKR) filtration. This involves endowing these objects with extra structure, built on notions of "homotopy-coherent co...
https://arxiv.org/abs/2007.02576
Academic Papers
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18d03a266ad9c20a8dcfd29ba2f89f13cd9b5ca065ddffeb22af05a351e5e84d
2026-01-21T00:00:00-05:00
A new characterization of the Hardy space and of other spaces of analytic functions
arXiv:2009.10937v2 Announce Type: replace Abstract: The Fock space can be characterized (up to a positive multiplicative factor) as the only Hilbert space of entire functions in which the adjoint of derivation is multiplication by the complex variable. Similarly (and still up to a positive multiplicative factor) the Ha...
https://arxiv.org/abs/2009.10937
Academic Papers
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0bebaa583927a4fa159c6fd19667325b288339ee75ba2936b430f325bb99fc3e
2026-01-21T00:00:00-05:00
Invertibility Conditions for the Admittance Matrices of Balanced Power Systems
arXiv:2012.04087v5 Announce Type: replace Abstract: The admittance matrix encodes the network topology and electrical parameters of a power system in order to relate the current injection and voltage phasors. Since admittance matrices are central to many power engineering analyses, their characteristics are important s...
https://arxiv.org/abs/2012.04087
Academic Papers
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f33dc20d4717665179ad5f086142452515ea3ece0e78bafe5343b27afeb1d7a1
2026-01-21T00:00:00-05:00
Moduli space of homologically trivial parabolic (Higgs) bundles on the projective line and applications
arXiv:2101.01913v3 Announce Type: replace Abstract: We establish an isomorphism between the moduli space of homologically trivial parabolic (Higgs) bundles on $\mathbb{P}^1$ and the quiver variety associated to a star-shaped quiver. As applications, we deduce a closed formula for the Littlewood-Richardson coefficients ...
https://arxiv.org/abs/2101.01913
Academic Papers
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d5302a18dbfe9dbcccfd4d79685d86cba633c1a94061eb85cbea8492ee8953ce
2026-01-21T00:00:00-05:00
Coarse Ricci curvature of hypergraphs and its generalization
arXiv:2102.00698v5 Announce Type: replace Abstract: In the present paper, we introduce a concept of Ricci curvature on hypergraphs for a nonlinear Laplacian. We prove that our definition of the Ricci curvature is a generalization of Lin-Lu-Yau coarse Ricci curvature for graphs to hypergraphs. We also show a lower bound...
https://arxiv.org/abs/2102.00698
Academic Papers
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56d5ae73f31c3bb077a8b12da2111179c9d45523884ea53724664f16ae7ef7ea
2026-01-21T00:00:00-05:00
Value existence for zero-sum ergodic stochastic differential games
arXiv:2106.15894v4 Announce Type: replace Abstract: In this paper we investigate two-player zero-sum stochastic differential games with an ergodic payoff, in which the diffusion coefficient does not need to be non-degenerate. We first establish the existence of a viscosity solution to the associated ergodic Hamilton-Ja...
https://arxiv.org/abs/2106.15894
Academic Papers
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