id stringlengths 64 64 | published stringlengths 19 25 | title stringlengths 7 262 | description stringlengths 6 54.4k | link stringlengths 31 227 | category stringclasses 6
values | image stringlengths 3 247 |
|---|---|---|---|---|---|---|
26004cd14fc8d369135763d6087acdfdcb553c752aaa1144ba7c453b80322bb5 | 2026-01-16T00:00:00-05:00 | Bridging Quantum Mechanics to Organic Liquid Properties via a Universal Force Field | arXiv:2508.08575v4 Announce Type: replace Abstract: Molecular dynamics (MD) simulations are essential tools for unraveling atomistic insights into the structure and dynamics of condensed-phase systems. However, the universal and accurate prediction of macroscopic properties from ab initio calculations remains a signifi... | https://arxiv.org/abs/2508.08575 | Academic Papers | svg |
19404649def198dc08e7d57930e7ce04d023839f84e867710d153bd4b4f51f22 | 2026-01-16T00:00:00-05:00 | Physics-Informed Neural Networks for Nonlocal Beam Eigenvalue Problems | arXiv:2509.04321v2 Announce Type: replace Abstract: The present study investigates the dynamics of nonlocal beams by establishing a consistent stress-driven integral elastic using the Physics-Informed Neural Network (PINN) approach. Specifically, a PINN is developed to compute the first eigenfunction and eigenvalue ari... | https://arxiv.org/abs/2509.04321 | Academic Papers | svg |
0ff5f6ea0f9d4cba5d5b7e3e0e6948b31f7f756e7691fd5875234c8fefd1dcde | 2026-01-16T00:00:00-05:00 | Detection of ultracold neutrons with powdered scintillator screens | arXiv:2509.04332v2 Announce Type: replace Abstract: Zinc sulfide (ZnS:Ag) scintillators coated with a thin 10B layer are widely used for ultracold neutron (UCN) detection, but their application is limited by long decay times and significant phosphorescence. We investigated two possible replacement scintillators: yttriu... | https://arxiv.org/abs/2509.04332 | Academic Papers | svg |
463770b7c02f63f22ab22075eb5377c3d24b312ff1489586e7fbec1db269866e | 2026-01-16T00:00:00-05:00 | All-Order Wichmann and Kroll Contribution in Heavy Electronic and Exotic Atoms | arXiv:2509.08763v2 Announce Type: replace Abstract: We present a theoretical study of the Wichmann and Kroll correction to the one-loop vacuum polarization (VP) to all-orders in $\alpha Z$. We consider electronic, muonic, and antiprotonic atoms for a wide range of nuclear charge numbers and explicitly investigate the i... | https://arxiv.org/abs/2509.08763 | Academic Papers | svg |
0d2087a8d2420e8020877d4c9a9d960e6bbb584ea219dcd28fdf827d4914f75a | 2026-01-16T00:00:00-05:00 | Systematic Study of Amorphous ABC Heterostructures at the Atomic Scale as a Second-Order Nonlinear Optical Metamaterial | arXiv:2509.21583v4 Announce Type: replace Abstract: Systematic exploration of amorphous ABC heterostructures revealed that nanoscale morphological modifications markedly improved their artificial bulk second-order susceptibility. These amorphous birefringent heterostructures were fabricated through plasma-enhanced atom... | https://arxiv.org/abs/2509.21583 | Academic Papers | svg |
386d9c82c3ea1d6bd552a6d62213ddfd9cf9833a3b51b99d4c7c661f19adc1b2 | 2026-01-16T00:00:00-05:00 | Correlation function metrology for warm dense matter: Recent developments and practical guidelines | arXiv:2510.00493v2 Announce Type: replace Abstract: X-ray Thomson scattering (XRTS) has emerged as a valuable diagnostic for matter under extreme conditions, as it captures the intricate many-body physics of the probed sample. Recent advances, such as the model-free temperature diagnostic of Dornheim et al. [Nat.Commun... | https://arxiv.org/abs/2510.00493 | Academic Papers | svg |
a26adb9bc41ed6fe2a6278119a7d80c76933653c3f7c80b7ae45cad9b6995d3c | 2026-01-16T00:00:00-05:00 | Electronic phase-locking for three-color, two-pathway coherent control | arXiv:2510.08205v2 Announce Type: replace Abstract: We report a new method of two-pathway coherent control using three narrow-band cw laser sources, phase locked in an optical phase-lock loop, to maintain the high degree of optical coherence required for the coherent control process. In addition, we derive expressions ... | https://arxiv.org/abs/2510.08205 | Academic Papers | svg |
e2a55db18f525ad3fbcb7d28369c1548aa2e79588ba35cebb1536c95c5ca1db6 | 2026-01-16T00:00:00-05:00 | Detection of Earth's free oscillations utilizing TianQin | arXiv:2510.10107v2 Announce Type: replace Abstract: The measurement of Earth's free oscillations plays an important role in studying the Earth's large-scale structure. Space technology development presents a potential method to observe these normal modes by measuring inter-satellite distances. However, the disturbance ... | https://arxiv.org/abs/2510.10107 | Academic Papers | svg |
ca686ceadc0bfc020b41d1a41203ab3ba0ab24a9b676de6fbc727e02ab223a34 | 2026-01-16T00:00:00-05:00 | Unravelling inter-channel quantum interference in below-threshold nonsequential double ionization with statistical measures | arXiv:2510.16135v2 Announce Type: replace Abstract: We present a systematic study of interchannel quantum interference in laser-induced nonsequential double ionization (NSDI) within the strong-field approximation. Focusing on the below-threshold intensity regime where the recollision-excitation with subsequent ionizati... | https://arxiv.org/abs/2510.16135 | Academic Papers | svg |
b66e3ecf783aa103cede16c17b0a2dd48fc7afad02464a97959f5910c88ce058 | 2026-01-16T00:00:00-05:00 | Patch-MLP-Based Predictive Control: Simulation of Upstream Pointing Stabilization for PHELIX Laser System | arXiv:2510.26540v2 Announce Type: replace Abstract: High-energy laser facilities such as PHELIX at GSI require excellent beam pointing stability for reproducibility and relative independence for future experiments. Beam pointing stability has been traditionally achieved using simple proportional-integral-derivative (PI... | https://arxiv.org/abs/2510.26540 | Academic Papers | svg |
8bf51a678f8457d1c078998b0a18dcc3c759f539f603f492528c35fe93c8eefe | 2026-01-16T00:00:00-05:00 | Transmission Efficiency of the Recoil Mass Spectrometer EMMA at TRIUMF | arXiv:2511.05643v2 Announce Type: replace Abstract: The mean transmission efficiency of the EMMA recoil mass spectrometer at TRIUMF has been measured with 6 different angular apertures at 17 kinetic energy/charge deviations with respect to the central, reference trajectory. Measurements performed using a 148Gd alpha so... | https://arxiv.org/abs/2511.05643 | Academic Papers | svg |
21e5f6e6e15390801d395097baf05dd0f1f500f125789511c6b698a5d9c8d29c | 2026-01-16T00:00:00-05:00 | Canonical Clocks and Hidden Geometric Freedom in Self-Imaging | arXiv:2601.08020v2 Announce Type: replace Abstract: Self-imaging represents a core hallmark of paraxial (quadratic)-wave evolution; yet, across its many realizations and generalizations over the past two centuries, the uniformity of recurrence planes along the propagation axis has been considered fundamental. However, ... | https://arxiv.org/abs/2601.08020 | Academic Papers | svg |
71cdb69cf719f0e618a16685e2e6af50c6d313257eb8a529f0e72e82265b4973 | 2026-01-16T00:00:00-05:00 | Accelerating Density Fitting with Adaptive-precision and 8-bit Integer on AI Accelerators | arXiv:2601.08077v2 Announce Type: replace Abstract: The emergence of artificial intelligence (AI) accelerators like NVIDIA Tensor Cores offers new opportunities to speed up tensor-heavy scientific computations. However, applying them to quantum chemistry is challenging due to strict accuracy demands and irregular data ... | https://arxiv.org/abs/2601.08077 | Academic Papers | svg |
f63f7863007c5670f4ffc26cade683bad2a833ea7dad0983f964d342973b7c26 | 2026-01-16T00:00:00-05:00 | The 1/3 Geometric Constant: Scale Invariance and the Origin of "Missing Energy" in 3D Quantum Fragmentation | arXiv:2601.08255v2 Announce Type: replace Abstract: We report a fundamental geometric constraint on the detection of kinetic energy release (KER) in three-dimensional quantum fragmentation. By investigating the sudden dissociation of Slater-type orbitals, physically motivated basis for localized states, we demonstrate ... | https://arxiv.org/abs/2601.08255 | Academic Papers | svg |
5371db2de3bbe28159625829cbd9b0b46e4bbf8d8a7b3509cb913e072be500b6 | 2026-01-16T00:00:00-05:00 | Terahertz Communications Using Effective-Medium-Slot Waveguides | arXiv:2601.08261v2 Announce Type: replace Abstract: All-dielectric effective-medium-clad waveguides have been widely exploited in terahertz communications owing to their extremely low loss, low dispersion, and broad bandwidth. In this work, we propose a substrateless effective-medium-slot waveguide. Additionally, we in... | https://arxiv.org/abs/2601.08261 | Academic Papers | svg |
5fdea6b99109b80eb8bd11e987874f46878c44fb0fafb26a8d10296e25f51a32 | 2026-01-16T00:00:00-05:00 | Constraining axion-like dark matter with a radio-frequency atomic magnetometer | arXiv:2601.09638v2 Announce Type: replace Abstract: We report on a broadband search for axion-like-particle (ALP) interactions using a radio-frequency-operated $^{87}\mathrm{Rb}$ atomic magnetometer. The instrument provides wide spectral coverage and sensitivity to an oscillating pseudomagnetic field that may be genera... | https://arxiv.org/abs/2601.09638 | Academic Papers | svg |
2b3eb7d5c1f20aa22db98251613983168f20e0b99d50b6741b7978df3d44d2e6 | 2026-01-16T00:00:00-05:00 | Rotational state changes in collisions of diatomic molecular ions with atomic ions | arXiv:1905.02130v3 Announce Type: replace-cross Abstract: We investigate rotational state changes in a single collision of diatomic molecular ions, polar or apolar, with an atomic ion. Rotational state changes may occur since the angular degree of freedom of the molecular ions interacts with the electric field due to t... | https://arxiv.org/abs/1905.02130 | Academic Papers | svg |
e24283cb640e95334e6d39f569d1a40d098eb020bad3a46974d2fa7b8de76497 | 2026-01-16T00:00:00-05:00 | Theoretical Design of Effective Multilayer Optical Coatings Using Oxyhydride Thin Films | arXiv:2010.13502v2 Announce Type: replace-cross Abstract: Rare-earth metal oxyhydride compositions are currently attracting increasing attention to develop materials with unusual optical responses. Herein, using computer simulations of the electronic and optical properties, the optical responses of two stable yttrium o... | https://arxiv.org/abs/2010.13502 | Academic Papers | svg |
847ae060f2e9dd7966a6fe7c21a00e9084dc8a9efe976119360cea80ada5fb2a | 2026-01-16T00:00:00-05:00 | Elastodynamical properties of Sturmian structured media | arXiv:2105.02548v2 Announce Type: replace-cross Abstract: In this paper, wave propagation in structured media with quasiperiodic patterns is investigated. We propose a methodology based on Sturmian sequences for the generation of structured mechanical systems from a given parameter. The approach is presented in a gener... | https://arxiv.org/abs/2105.02548 | Academic Papers | svg |
d8cc353ca1b1e12289c63bb7856528be865d83766041f4b563f2ff8d0e67426d | 2026-01-16T00:00:00-05:00 | Rotational excitation in sympathetic cooling of diatomic molecular ions by laser-cooled atomic ions | arXiv:2410.22458v2 Announce Type: replace-cross Abstract: Sympathetic cooling of molecular ions through the Coulomb interaction with laser-cooled atomic ions is an efficient tool to prepare translationally cold molecules without, ideally, affecting the internal state of the molecular ions. However, the electric field d... | https://arxiv.org/abs/2410.22458 | Academic Papers | svg |
585a15001fb53c177f00e3030bb32ed02d5587ab9a707ce0765248e24b2b8187 | 2026-01-16T00:00:00-05:00 | Predicting the suitability of photocatalysts for water splitting using Koopmans spectral functionals: The case of TiO$_2$ polymorphs | arXiv:2412.17488v2 Announce Type: replace-cross Abstract: Photocatalytic water splitting has attracted considerable attention for renewable energy production. Since the first reported photocatalytic water splitting by titanium dioxide, this material remains one of the most promising photocatalysts, due to its suitable ... | https://arxiv.org/abs/2412.17488 | Academic Papers | svg |
6d565e8f3ee09624ca67815e3bae5a2a9c3999aa03f0b057df23991e7be367e8 | 2026-01-16T00:00:00-05:00 | Cavity-QED Simulation of a Maser beyond the Mean-Field Approximation | arXiv:2412.21166v3 Announce Type: replace-cross Abstract: Based on the well-known Tavis-Cummings (TC) model of cavity quantum electrodynamics (QED), we introduce a method for quantum-mechanically simulating the dynamics of experimental masers beyond the mean-field approximation (MFA) that takes into account the spatial... | https://arxiv.org/abs/2412.21166 | Academic Papers | svg |
729192d7318d361de9cb7def44afc0d745557e0348771893faf983f6b924f554 | 2026-01-16T00:00:00-05:00 | Time-domain extreme ultraviolet diffuse scattering spectroscopy of nanoscale surface phonons | arXiv:2502.18445v4 Announce Type: replace-cross Abstract: We report the observation of dynamic fringe patterns in the diffuse scattering of extreme ultraviolet light from surfaces, following femtosecond optical excitation. At each point on the detector, the diffuse scattering intensity exhibits oscillations at well-def... | https://arxiv.org/abs/2502.18445 | Academic Papers | svg |
8be0fc15b92be25116c9ca782dfd64bf7b9325e6a037aed962406bcfa63dfb21 | 2026-01-16T00:00:00-05:00 | Nonadiabatic H-Atom Scattering Channels on Ge(111) Elucidated by the Hierarchical Equations of Motion | arXiv:2509.16916v2 Announce Type: replace-cross Abstract: Atomic and molecular scattering at semiconductor interfaces plays a central role in surface chemistry and catalysis, yet predictive simulations remain challenging due to strong nonadiabatic effects causing the breakdown of the Born-Oppenheimer approximation. Her... | https://arxiv.org/abs/2509.16916 | Academic Papers | svg |
ae6bd401b2735f9e1499ffeb7f3967a6ef983bcd0518e3fa77bf712d90feff2f | 2026-01-16T00:00:00-05:00 | Graphical C(3)-T(6) implies CAT(0) | arXiv:2601.09751v1 Announce Type: new Abstract: Graphical small cancellation extends the classical small cancellation theory and provides a powerful method for constructing groups with interesting features. In the classical setting, C(3)-T(6) small cancellation complexes are known to admit locally CAT(0) metrics. In th... | https://arxiv.org/abs/2601.09751 | Academic Papers | svg |
0f910662c53b26656978a7ea254c5ff66190b8f5b5278ecf41929fc5e3f43021 | 2026-01-16T00:00:00-05:00 | Structure and Decomposition of Deltoids in Abelian Groups | arXiv:2601.09774v1 Announce Type: new Abstract: Deltoids provide a natural framework for studying defective (partial) matchings in abelian groups, and we develop both structure and existence results in this setting. Given finite subsets $A$ and $B$ of an abelian group $G$, a matching is a bijection $f:A\to B$ such that... | https://arxiv.org/abs/2601.09774 | Academic Papers | svg |
1221de64ffcff47df0b200c22762435cff778cf2667451d8e96f4230e1008c92 | 2026-01-16T00:00:00-05:00 | Witt affine Springer theory | arXiv:2601.09798v1 Announce Type: new Abstract: This paper extends the affine Springer theory developed by Bouthier, Kazhdan, and the second author (see [BKV]) to the mixed characteristic case. In particular, we introduce a theory of perfectly placid perfect infinity stacks and establish their dimension theory. Further... | https://arxiv.org/abs/2601.09798 | Academic Papers | svg |
3ea8ea9d619dfe4bdf64f3c36f76d5d90d9eee6a62e6ef910e078ed25e4df551 | 2026-01-16T00:00:00-05:00 | Spectral projections of an anharmonic oscillator with complex polynomial potential | arXiv:2601.09800v1 Announce Type: new Abstract: For a broad class of polynomial potentials $V$, with an important and instructive representative being $V(x) = x^{2a} + i x^b$, $x \in \mathbb R$, $a, b \in \mathbb N$, we show that the system of spectral projections $\{P_n\}_n$ of an anharmonic operator $L = - (\mathrm{d... | https://arxiv.org/abs/2601.09800 | Academic Papers | svg |
f50e46c4ecdf1750908d90add14b448c8925ea5a9b58fafe589b9018965bf582 | 2026-01-16T00:00:00-05:00 | Kostant cuspidal permutations | arXiv:2601.09824v1 Announce Type: new Abstract: In relation to Kostant's problem for simple highest weight modules over the general linear Lie algebra, we prove a persistence result for Kostant negative consecutive patterns. Inspired by it, we introduce the notion of a Kostant cuspidal permutation as a minimal Kostant ... | https://arxiv.org/abs/2601.09824 | Academic Papers | svg |
5dabad174d91e5fdbeff77491c30725760353bdb9d257b5121cd6775c8cb6762 | 2026-01-16T00:00:00-05:00 | When an Approximate Model Suffices for Optimal Control | arXiv:2601.09826v1 Announce Type: new Abstract: In this paper, we develop an optimal control framework for dynamical systems when only an approximate model of the underlying plant is available. We consider a setting in which the control strategy is synthesized using a model-based optimal control problem that includes a... | https://arxiv.org/abs/2601.09826 | Academic Papers | svg |
6783dbedd0d0c24a2ec9ae8d404758ef871c4876925d103fe9549e5597400cc9 | 2026-01-16T00:00:00-05:00 | A note on absolutely minimal extensions in finite metric spaces | arXiv:2601.09840v1 Announce Type: new Abstract: Absolutely minimal Lipschitz extensions (AMLEs) are known to exist in many infinite metric settings, but the finite case is less settled. In metric spaces with at most four points, every function on a nonempty subset admits an AMLE in the sense that the Lipschitz constant... | https://arxiv.org/abs/2601.09840 | Academic Papers | svg |
c608546c62374e86904916e9896e03ddf08b731d8d494f3b5cc0c95082b458c2 | 2026-01-16T00:00:00-05:00 | Non-commutative Factor theorem for tensor products of lattices in product groups | arXiv:2601.09875v1 Announce Type: new Abstract: We establish a non-commutative version of the Intermediate Factor Theorem for crossed products associated with product lattices. Given an irreducible lattice $\Gamma < G= G_1 \times \dots \times G_d$ in higher rank semisimple algebraic groups and a trace-preserving irredu... | https://arxiv.org/abs/2601.09875 | Academic Papers | svg |
465066ca033e1ccb43b53baafbd5dc541e76e961b51c36672ae06d00ff9cba6f | 2026-01-16T00:00:00-05:00 | Asymptotic Stability and Equilibrium Selection in Quasi-Feller Systems with Minimal Moment Conditions | arXiv:2601.09880v1 Announce Type: new Abstract: We study equilibrium selection for invariant measures of stochastic dynamical systems with constant step size, under persistent noise and minimal moment assumptions, in a general quasi-Feller framework. Such dynamics arise in projection-based algorithms, learning in games... | https://arxiv.org/abs/2601.09880 | Academic Papers | svg |
e58d28841d2f529601fea4d7257b56bab684d7b0595d29cafd2450398ccb6847 | 2026-01-16T00:00:00-05:00 | Multiplicity one for equivariant min-max theory in prescribed homology classes | arXiv:2601.09884v1 Announce Type: new Abstract: For a closed Riemannian manifold $M$ with a compact Lie group $G$ acting by isometries, we show a generic multiplicity one theorem in equivariant min-max theory, and show in generic sense that there are infinitely many $G$-invariant minimal hypersurfaces in a fixed $G$-ho... | https://arxiv.org/abs/2601.09884 | Academic Papers | svg |
3d9c196280875e0847776b5030a7e2ffd1591144471c13c018878178816fd214 | 2026-01-16T00:00:00-05:00 | Graphs of Quasicircles and Quasiconformal Homeomorphisms | arXiv:2601.09892v1 Announce Type: new Abstract: We give a combinatorial characterization of the group of quasiconformal homeomorphisms of a closed, oriented surface $S$ of genus at least $2$. In particular, we prove they are exactly the automorphisms of a graph of essential quasicircles on $S$ that respect a canonical ... | https://arxiv.org/abs/2601.09892 | Academic Papers | svg |
30cbc1439a331968647ff761983b524dffbe4eb602aa24df8e9aeee6881a49aa | 2026-01-16T00:00:00-05:00 | Complex Monge-Amp\`ere equation in Orlicz space and Diameter Bound | arXiv:2601.09893v1 Announce Type: new Abstract: In this paper, we establish diameter bounds for compact K\"ahler manifolds equipped with K\"ahler metrics $\omega$, assuming the associated measure lies in a specific Orlicz space and satisfies an integrability condition. Firstly, we prove a priori estimates for solutions... | https://arxiv.org/abs/2601.09893 | Academic Papers | svg |
ad9222efe6fa7e57ba58b1bea6691cc036dd539401921d8739fd6ca9a9e20e2e | 2026-01-16T00:00:00-05:00 | Lossless Strichartz estimates on the square torus over short time intervals | arXiv:2601.09895v1 Announce Type: new Abstract: We prove lossless Strichartz estimates at the critical exponent $q_c = \frac{2(n+1)}{n-1}$ on the square torus for the Schr\"{o}dinger equation with frequency localized initial data on small time windows with length depending on the frequency parameter $\lambda \gg 1$. | https://arxiv.org/abs/2601.09895 | Academic Papers | svg |
a03671335c7aba373be107b7d5146c8d4660a6c82677fa0c04d00e6aa902b762 | 2026-01-16T00:00:00-05:00 | Birman-Hilden theory for big mapping class groups | arXiv:2601.09897v1 Announce Type: new Abstract: Let $S$ and $X$ be two connected topological surfaces without boundary, and assume that $S$ is either of infinite type or has negative Euler characteristic. In this paper, we prove that if $p:S\rightarrow X$ is a fully ramified branched covering map, then $p$ satisfies th... | https://arxiv.org/abs/2601.09897 | Academic Papers | svg |
30b7161e6abb8b048fbc1352ac1c8b30c9059e5f427d5dd923cc58e5f16a07db | 2026-01-16T00:00:00-05:00 | The Morse Local-to-Global Property for Graph Products | arXiv:2601.09901v1 Announce Type: new Abstract: The Morse local-to-global property generalizes the local-to-global property for quasi-geodesics in a hyperbolic space. We show that graph products of infinite Morse local-to-global groups have the Morse local-to-global property. To achieve this, we generalize the maximiza... | https://arxiv.org/abs/2601.09901 | Academic Papers | svg |
2a5d5d965d418231244f0e3832a813fcc76c47873db2826df48b0a3e9aae321e | 2026-01-16T00:00:00-05:00 | A note on invariants of mixed-state topological order in 2D | arXiv:2601.09909v1 Announce Type: new Abstract: The classification of mixed-state topological order requires indices that behave monotonically under finite-depth quantum channels. In two dimensions, a braided $C^*$-tensor category, which corresponds to strong symmetry, arises from a state satisfying approximate Haag du... | https://arxiv.org/abs/2601.09909 | Academic Papers | svg |
72a3e6185ddf57c308bd6c48504a42226d208eac2daa74c5f39374f08c1e6321 | 2026-01-16T00:00:00-05:00 | Cylinder type and $p$-divisible sets in $\mathbb{F}_p^3$ | arXiv:2601.09910v1 Announce Type: new Abstract: A set of points $S \subseteq \mathbb{F}_p^n$ is called \emph{$p$-divisible} if every affine hyperplane in $\mathbb{F}_p^n$ intersects $S$ in $0 \pmod p$ points. The Strong Cylinder Conjecture of Ball asserts that if $S$ is a $p$-divisible set of $p^2$ points in $\mathbb{F... | https://arxiv.org/abs/2601.09910 | Academic Papers | svg |
0831e52bc0737f2d15ae9d8f497af4a1432afb4350e15b7a69c6cd5932dd11c8 | 2026-01-16T00:00:00-05:00 | On the Dirichlet boundary value problem on Cartan-Hadamard manifolds | arXiv:2601.09930v1 Announce Type: new Abstract: In this paper, we investigate the Dirichlet boundary value problem on Cartan-Hadamard manifolds, focusing on the non-existence of bounded (viscosity) solutions to semi-linear elliptic equations of the form $\Delta u + f(u) = 0$ in domains with prescribed asymptotic bounda... | https://arxiv.org/abs/2601.09930 | Academic Papers | svg |
e2763cbded177c17db403fcb16fe26ce0db2a79a7ce10300cbb0c93c038ae043 | 2026-01-16T00:00:00-05:00 | Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra | arXiv:2601.09934v1 Announce Type: new Abstract: The topology of the Moyal $*$-algebra may be defined in three ways: the algebra may be regarded as an operator algebra over the space of smooth declining functions either on the configuration space or on the phase space itself; or one may construct the $*$-algebra via a f... | https://arxiv.org/abs/2601.09934 | Academic Papers | svg |
73ea55133abeb805c137f53d0b606f97f79ba9caf34e56dfc18019bc3f32e530 | 2026-01-16T00:00:00-05:00 | Epstein surfaces for $G-$opers | arXiv:2601.09936v1 Announce Type: new Abstract: Given a complex semisimple Lie group $G$, we introduce the notion of an Epstein surface associated to a $G$-oper. These surfaces generalize Epstein's classical construction for $G=PGL_2 (\mathbb{C})$. As an application, we provide a criterion that ensures that the holonom... | https://arxiv.org/abs/2601.09936 | Academic Papers | svg |
cf903a684e37e5612a56d910428d82d647c14dcbeadf2b5328fef3d38ec6a3d4 | 2026-01-16T00:00:00-05:00 | On Schur Rings Over Semigroups | arXiv:2601.09940v1 Announce Type: new Abstract: We generalize the idea of a Schur ring of a group to the category of semigroups. Fundamental results of Schur rings over groups are shown to be true for Schur rings over semigroups. Examples where Schur rings differ between the two categories are provided. We prove some r... | https://arxiv.org/abs/2601.09940 | Academic Papers | svg |
64d33cef65b004c772c96b98226c2023c4decc889e42225fd75e84b7225bd11a | 2026-01-16T00:00:00-05:00 | Quantitative Supercritical Bounds for Disconnection in Bernoulli Site Percolation | arXiv:2601.09950v1 Announce Type: new Abstract: For any infinite, connected, locally finite graph $G=(V,E)$, any parameter $p>p^{\mathrm{site}}_{c}(G)$, and any (finite or infinite) set of vertices $S\subset V$, we derive explicit exponential-type upper bounds on the disconnection probability $\mathbb{P}_{p}(S\nleftrig... | https://arxiv.org/abs/2601.09950 | Academic Papers | svg |
c028f07d1be1447b18948d34c57750af868f6870e4d531bf81d2b43d2b06b670 | 2026-01-16T00:00:00-05:00 | Directed strongly regular graphs and divisible design graphs from Tatra association schemes | arXiv:2601.09955v1 Announce Type: new Abstract: In this paper, we construct directed strongly regular graphs and divisible design graphs with new parameters merging some basic relations of so-called Tatra associations schemes. We also study the above association schemes, their fusions and isomorphisms. | https://arxiv.org/abs/2601.09955 | Academic Papers | svg |
00c1a13af40ea50a8f91a7fd8f58588590dc8fdb54d50f7c24e70897d7e8b5a5 | 2026-01-16T00:00:00-05:00 | The Galois Structure of the Spaces of polydifferentials on the Drinfeld Curve | arXiv:2601.09956v1 Announce Type: new Abstract: Let $C$ be a smooth projective curve over an algebraically closed field ${\mathbb{F}}$ equipped with the action of a finite group $G$. When $p =\textrm{char}(\mathbb{F})$ divides the order of $G$, the long-standing problem of computing the induced representation of $G$ on... | https://arxiv.org/abs/2601.09956 | Academic Papers | svg |
ca8e2e96c92a5598e535d3236032df7da2039501a220c18f85d13e88c516834f | 2026-01-16T00:00:00-05:00 | Planar Site Percolation, End Structure, and the Benjamini-Schramm Conjecture | arXiv:2601.09958v1 Announce Type: new Abstract: Let $G$ be an infinite, connected, locally finite planar graph and consider i.i.d.\ Bernoulli$(p)$ site percolation. Write $p_c^{\mathrm{site}}(G)$ and $p_u^{\mathrm{site}}(G)$ for the critical and uniqueness thresholds. Using a well--separated Freudenthal embedding $G\ho... | https://arxiv.org/abs/2601.09958 | Academic Papers | svg |
2be2cec5eb158b0088eb94e06f0d08f202e3951740de3a1219069772c9faa811 | 2026-01-16T00:00:00-05:00 | Probabilistic heterogeneous Stirling numbers and Bell polynomials | arXiv:2601.09964v1 Announce Type: new Abstract: Let Y be a random variable satisfying specific moment conditions. This paper introduces and investigates probabilistic heterogeneous Stirling numbers of the second kind and probabilistic heterogeneous Bell polynomials. These structures unify several classical and probabil... | https://arxiv.org/abs/2601.09964 | Academic Papers | svg |
73c981f1b4defd0ef3f29149c25aa1201cc4857299ffa65252be2adaed84cd96 | 2026-01-16T00:00:00-05:00 | Stochastic Calculus for Rough Fractional Brownian Motion via Operator Factorization | arXiv:2601.09967v1 Announce Type: new Abstract: We develop an operator-theoretic framework for stochastic calculus with respect to rough fractional Brownian motion with Hurst parameter H < 1/2. Building on a covariant derivative defined via kernel factorization, we construct a closed unbounded operator on L2(Omega) ada... | https://arxiv.org/abs/2601.09967 | Academic Papers | svg |
917dec14ec294e18bb262db9d39231e42f160964f5863a882d8a43ad6c3bd445 | 2026-01-16T00:00:00-05:00 | Einstein and Yang-Mills implies conformal Yang-Mills | arXiv:2601.09975v1 Announce Type: new Abstract: There exist conformally invariant, higher-derivative, variational analogs of the Yang-Mills condition for connections on vector bundles over a conformal manifold of even dimension greater than or equal to six. We give a compact formula for these analogs and prove that the... | https://arxiv.org/abs/2601.09975 | Academic Papers | svg |
9a3b768a085474c54fc8783d472d3bad6ee780c42bdd5e4539ea84a714c4490d | 2026-01-16T00:00:00-05:00 | Stochastic Calculus as Operator Factorization | arXiv:2601.09976v1 Announce Type: new Abstract: We present a unified operator-theoretic formulation of stochastic calculus based on two principles: fluctuations factor through differentiation, predictable projection, and integration, and the appropriate stochastic derivative is the Hilbert adjoint of the stochastic int... | https://arxiv.org/abs/2601.09976 | Academic Papers | svg |
8c060b0cd64d86e81dc357f07f4c5c45ad09a2dc6e2f70ba8dfa7b3bc323e2be | 2026-01-16T00:00:00-05:00 | Polynomially effective equidistribution for unipotent orbits in products of $\mathrm{SL}_2$ factors | arXiv:2601.09983v1 Announce Type: new Abstract: We sketch the proof of an effective equidistribution theorem for one-parameter unipotent subgroups in $S$-arithmetic quotients arising from $\mathbf K$-forms of $\mathrm{SL}_2^{\mathsf n}$ where $\mathbf K$ is a number field. This gives an effective version of equidistrib... | https://arxiv.org/abs/2601.09983 | Academic Papers | svg |
26380fec8d6a9248d8fa7b5126d74b3176b0e7fc15bbf23c4ff60650470d9958 | 2026-01-16T00:00:00-05:00 | Remarks on the convex integration technique applied to singular stochastic partial differential equations | arXiv:2601.09990v1 Announce Type: new Abstract: Singular stochastic partial differential equations informally refer to the partial differential equations with rough random force that leads to the products in the nonlinear terms becoming ill-defined. Besides the theories of regularity structures and paracontrolled distr... | https://arxiv.org/abs/2601.09990 | Academic Papers | svg |
388d9227b9ec8a5c480803dcf198baa31a549873830b7d595be45c135ccb1949 | 2026-01-16T00:00:00-05:00 | On directional second-order tangent sets of analytic sets and applications in optimization | arXiv:2601.09991v1 Announce Type: new Abstract: In this paper we study directional second-order tangent sets of real and complex analytic sets. For an analytic set $X\subseteq\mathbb{K}^n$ and a nonzero tangent direction $u\in T_0X$, we compare the geometric second-order tangent set $T^2_{0,u}X$, defined via second-ord... | https://arxiv.org/abs/2601.09991 | Academic Papers | svg |
763143b7ded071fd1fa4752e16b29a7d79ea9711f8904a1c946d03689d9206b3 | 2026-01-16T00:00:00-05:00 | M\"obius-Type Structures in Non-Orientable Singular Semi-Riemannian Manifolds | arXiv:2601.10009v1 Announce Type: new Abstract: Our objective is to illuminate the global structure of non-orientable manifolds with signature-changing metrics. Using explicit constructions based on the topology of the M\"{o}bius strip, we produce examples of crosscap manifolds where the gluing junction serves as the l... | https://arxiv.org/abs/2601.10009 | Academic Papers | svg |
b92ab1d7c1412c3635cd0d34c7b8ef00204b4bc5a4f88fd06cd185500d4e4488 | 2026-01-16T00:00:00-05:00 | On the Sasakian Structure of Manifolds with Nonnegative Transverse Bisectional Curvature | arXiv:2601.10017v1 Announce Type: new Abstract: In this paper, we concern with the Sasaki analogue of Yau uniformization conjecture in a complete noncompact Sasakian manifold with nonnegative transverse bisectional curvature. As a consequence, we confirm that any $5$-dimensional complete noncompact Sasakian manifold wi... | https://arxiv.org/abs/2601.10017 | Academic Papers | svg |
7541b21eb92529814e1a615b269024d2059c72e05ea29bb566ecd8cb9ebb39a2 | 2026-01-16T00:00:00-05:00 | An introduction to weightings along submanifolds | arXiv:2601.10021v1 Announce Type: new Abstract: This article is based on a talk given at the Ghent Geometric Analysis Seminar in 2023. We review basic notions from the theory of weightings along submanifolds, with special emphasis on multiplicative weightings for Lie groupoids along subgroupoids. | https://arxiv.org/abs/2601.10021 | Academic Papers | svg |
76a90336c9309297ee11c32c8c2d349e5ed4f70d651999749db93dc42540e700 | 2026-01-16T00:00:00-05:00 | A New Overture to Classical Simple Type Theory, Ketonen-type Gentzen and Tableau Systems | arXiv:2601.10026v1 Announce Type: new Abstract: In this paper, we introduce a Ketonen-type Gentzen-style classical simple type theory $\bf KCT$. Also the tableau system $\bf KCTT$ corresponding to $\bf KCT$ is introduced. Further inference-preserving Gentzen system $\bf KCT_h$ (equivalent to $\bf KCT$) and tableau syst... | https://arxiv.org/abs/2601.10026 | Academic Papers | svg |
8a41442185d7fc7e5af02e6b27459e198f17c1f38132dc7c035084564fab77e0 | 2026-01-16T00:00:00-05:00 | Stability and instability of small BGK waves | arXiv:2601.10030v1 Announce Type: new Abstract: The aim of this article is to prove that the linear stability or instability of small Bernstein-Green-Kruskal (BGK) waves is determined by the sign of the derivative of their energy distributions at $0$ energy. | https://arxiv.org/abs/2601.10030 | Academic Papers | svg |
66cae65ae58a580a97cd5fe6c9046509df874881192d019baf558017443378ae | 2026-01-16T00:00:00-05:00 | Convex combination of first and second eigenvalues of trees | arXiv:2601.10036v1 Announce Type: new Abstract: For a graph $G$, let $\lambda_1(G)$ and $\lambda_2(G)$ denote the largest and the second largest adjacency eigenvalue of $G$. The sum $\lambda_1(G) + \lambda_2(G)$ is called the \emph{spectral sum} of $G$. We investigate the spectral sum of trees of order $n$ and determin... | https://arxiv.org/abs/2601.10036 | Academic Papers | svg |
069088ec77187ba12ca31ddcac6f54e74579e8e5caccf3b07d7e9e0d54fb8bef | 2026-01-16T00:00:00-05:00 | Recurrence relations for the coefficients of the confluent and Gauss hypergeometric functions in the complex plane | arXiv:2601.10040v1 Announce Type: new Abstract: For $a,b,c,z,p, \theta \in \mathbb{C}$, where $\mathbb{C}$ is the complex plane, $-c\notin \mathbb{N\cup }\left\{ 0\right\} $, let \begin{equation*} \mathcal{M}\left( z\right) =\left( 1-\theta z\right) ^{p}M\left(a;c;z\right) =\sum_{n=0}^{\infty }u_{n}z^{n}, \end{equation... | https://arxiv.org/abs/2601.10040 | Academic Papers | svg |
627158d1069fec4cbe7cef122e7fdc939e1e3589fc33dfcd947e273d4b205f25 | 2026-01-16T00:00:00-05:00 | A note on exact approximations | arXiv:2601.10051v1 Announce Type: new Abstract: Based on M. Hall's theorem we prove a simple result dealing with real numbers which admit exact approximations by rationals. | https://arxiv.org/abs/2601.10051 | Academic Papers | svg |
33f304c1047e9e2705fac2890995a44cf7e082a5af8f5a8d5356b631f37590a5 | 2026-01-16T00:00:00-05:00 | Kov\'acs' conjecture on characterisation of projective space and hyperquadrics | arXiv:2601.10055v1 Announce Type: new Abstract: We prove Kov\'acs' conjecture that claims that if the $p^{th}$ exterior power of the tangent bundle of a smooth complex projective variety contains the $p^{th}$ exterior power of an ample vector bundle then the variety is either projective space or the $p$-dimensional qua... | https://arxiv.org/abs/2601.10055 | Academic Papers | svg |
d272c7f1e8431626f06325e212de117427e453473b2bb9b10f576ddcbd9c7c8e | 2026-01-16T00:00:00-05:00 | Global convergence of the subgradient method for robust signal recovery | arXiv:2601.10062v1 Announce Type: new Abstract: We study the subgradient method for factorized robust signal recovery problems, including robust PCA, robust phase retrieval, and robust matrix sensing. These objectives are nonsmooth and nonconvex, and may have unbounded sublevel sets, so standard arguments for analyzing... | https://arxiv.org/abs/2601.10062 | Academic Papers | svg |
e94664ccf8712813740b25ba47934d5ddb014252ca2fb73875d0bbefedfc9816 | 2026-01-16T00:00:00-05:00 | Transport equation theory in the Triebel-Lizorkin spaces and its applications to the ideal fluid flows | arXiv:2601.10071v1 Announce Type: new Abstract: In this paper, we develop a general theory for the transport equation within the framework of Triebel-Lizorkin spaces. We first derive commutator estimates in these spaces, dispensing with the conventional divergence-free condition, via the Bony paraproduct decomposition ... | https://arxiv.org/abs/2601.10071 | Academic Papers | svg |
e25291a7f6e0b0e5982519f50841d02c30070037d985b2e204eb3b8bcefedb90 | 2026-01-16T00:00:00-05:00 | Simplicial spheres with $g_k=1$ | arXiv:2601.10072v1 Announce Type: new Abstract: For $d\geq 4$, Kalai (1987) characterized all simplicial $(d-1)$-spheres with $g_2=0$, and for $k\geq 2$ and $d\geq 2k$, Murai and Nevo (2013) characterized all simplicial $(d-1)$-spheres with $g_k=0$. In addition, for $d\geq 4$, Nevo and Novinsky (2011) characterized all... | https://arxiv.org/abs/2601.10072 | Academic Papers | svg |
0ce34a210d1be2c67e404f48d5ba293e13539b434ef9376b2c1a1e2fc6902cd7 | 2026-01-16T00:00:00-05:00 | Sharp propagation of chaos in R\'enyi divergence | arXiv:2601.10076v1 Announce Type: new Abstract: We establish sharp rates for propagation of chaos in R\'enyi divergences for interacting diffusion systems at stationarity. Building upon the entropic hierarchy established in Lacker (2023), we show that under strong isoperimetry and weak interaction conditions, one can a... | https://arxiv.org/abs/2601.10076 | Academic Papers | svg |
6941a034e453e9617bd9382706ca66852d4959d68e2d7a919413d0ba9d2e4084 | 2026-01-16T00:00:00-05:00 | A $p$-adic interpolation of the Cogdell lift | arXiv:2601.10077v1 Announce Type: new Abstract: In this paper we obtain several results related to the $p$-adic interpolation of the classical Cogdell lift, mapping special cycles on Picard modular surfaces to elliptic modular forms. The results have a three-fold nature: in the first part of the paper, we $p$-adically ... | https://arxiv.org/abs/2601.10077 | Academic Papers | svg |
ce32896b4b5582f30e7b110f1d46af6277e09959c6fe40a571fa274d538aa238 | 2026-01-16T00:00:00-05:00 | Line-search and Adaptive Step Sizes for Nonconvex-strongly-concave Minimax Optimization | arXiv:2601.10086v1 Announce Type: new Abstract: In this paper, we propose a novel reformulation of the smooth nonconvex-strongly-concave (NC-SC) minimax problems that casts the problem as a joint minimization. We show that our reformulation preserves not only first-order stationarity, but also global and local optimali... | https://arxiv.org/abs/2601.10086 | Academic Papers | svg |
2f33281941527882ce4c502299da35237e9763f80b7afc25c42f89aa657a16cf | 2026-01-16T00:00:00-05:00 | Admissibility Breakdown in High-Dimensional Sparse Regression with L1 Regularization | arXiv:2601.10100v1 Announce Type: new Abstract: The choice of the tuning parameter in the Lasso is central to its statistical performance in high-dimensional linear regression. Classical consistency theory identifies the rate of the Lasso tuning parameter, and numerous studies have established non-asymptotic guarantees... | https://arxiv.org/abs/2601.10100 | Academic Papers | svg |
2d7fa40841c60fb70690d707e8a8855ec9ebe99ee29627b33cbd7677d5afac4c | 2026-01-16T00:00:00-05:00 | Fano threefolds of genus 12 with large automorphism group in positive and mixed characteristic | arXiv:2601.10106v1 Announce Type: new Abstract: We study prime Fano threefolds of genus 12 ($V_{22}$-varieties) with positive-dimensional automorphism groups in positive and mixed characteristic. We classify such varieties over any perfect field. In particular, we prove that $V_{22}$-varieties of Mukai-Umemura type ove... | https://arxiv.org/abs/2601.10106 | Academic Papers | svg |
997178762bc50f3d1b3a880771543074f49ed512ffc1473e57d1bd04c996f379 | 2026-01-16T00:00:00-05:00 | Shifted bilinear sums of Sali\'e sums and the distribution of modular square roots of shifted primes | arXiv:2601.10113v1 Announce Type: new Abstract: We establish various upper bounds on Type-I and Type-II shifted bilinear sums with Sali\'e sums modulo a large prime $q$. We use these bounds to study, for fixed integers $a,b\not \equiv 0 \bmod q$, the distribution ofsolutions to the congruence $x^2 \equiv ap+b \bmod q$,... | https://arxiv.org/abs/2601.10113 | Academic Papers | svg |
07534bf20c363e340458e29b16f49697643fe9bdcba33535fd54d38776515070 | 2026-01-16T00:00:00-05:00 | Calabi affine maximal surfaces and centroaffine Bernstein problems | arXiv:2601.10125v1 Announce Type: new Abstract: Motivated by Calabi's calculation of the second variation sign for locally strongly convex affine maximal surfaces in equiaffine geometry, we first prove that every Calabi extremal surface is also maximal in the Calabi affine geometry. By employing suitably chosen orthono... | https://arxiv.org/abs/2601.10125 | Academic Papers | svg |
cee318c19dcc2ecf45aaa2804e079f83835ff8968ca328733cea317b30f5b5f9 | 2026-01-16T00:00:00-05:00 | Curvature-driven manifold fitting under unbounded isotropic noise | arXiv:2601.10133v1 Announce Type: new Abstract: Manifold fitting aims to reconstruct a low-dimensional manifold from high-dimensional data, whose framework is established by Fefferman et al. \cite{fefferman2020reconstruction,fefferman2021reconstruction}. This paper studies the recovery of a compact $C^3$ submanifold $\... | https://arxiv.org/abs/2601.10133 | Academic Papers | svg |
e4e5f4df06f89203bef50349bb928b013792c29e934323301191f1b3f83739f7 | 2026-01-16T00:00:00-05:00 | A new contraction principle on the perimeters of triangles and related results | arXiv:2601.10138v1 Announce Type: new Abstract: In this article, we introduce a new type of mapping contracting perimeters of triangles in a complete metric space and present related fixed point theorem. We study the metric completeness property of the underlying space in terms of fixed point of our newly introduced ma... | https://arxiv.org/abs/2601.10138 | Academic Papers | svg |
562df49b929106cade72ac02c90b8ed617f8444e3623666c09e7087c219a4a5a | 2026-01-16T00:00:00-05:00 | On Quaternionic Fock Spaces: Kernel-induced Integral Operators, Berezin Transforms and Toeplitz Operators | arXiv:2601.10162v1 Announce Type: new Abstract: In this paper, we study quaternionic Fock spaces and develop an operator-theoretic framework centered around kernel-induced integral operators, Berezin transforms and Toeplitz operators. More precisely, the following results are obtained: (i) Global quaternionic Fock stru... | https://arxiv.org/abs/2601.10162 | Academic Papers | svg |
d3a2c8f70bd6237170e83a1f1ffc54c5b1428277eb1c18583bc9bd6f96eaf64b | 2026-01-16T00:00:00-05:00 | Advances on two spectral conjectures regarding booksize of graphs | arXiv:2601.10163v1 Announce Type: new Abstract: The \emph{booksize} $ \mathrm{bk}(G) \) of a graph $ G $, introduced by Erd\H{o}s, refers to the maximum integer $ r $ for which $G$ contains the book $ B_r $ as a subgraph. This paper investigates two open problems in spectral graph theory related to the booksize of grap... | https://arxiv.org/abs/2601.10163 | Academic Papers | svg |
a60afbe37d3766707ef2bfc276cef9ffddbdb94fd7cbb8ca98ac765938641e25 | 2026-01-16T00:00:00-05:00 | Characteristics of drift effects in the quasi-geostrophic equation arising from nonlinear symmetry | arXiv:2601.10185v1 Announce Type: new Abstract: This paper compares two similar diffusion equations that appear in meteorology. One is the quasi-geostrophic equation, and the other is the convection-diffusion equation. Both are two-dimensional bilinear equations, and the order of differentiation is the same. Naturally,... | https://arxiv.org/abs/2601.10185 | Academic Papers | svg |
752c200a8d5dea36b8b3db65862169128189dd5d2386945dc860fb15f6a1d792 | 2026-01-16T00:00:00-05:00 | Outlier eigenvalues and eigenvectors of generalized Wigner matrices with finite-rank perturbations | arXiv:2601.10204v1 Announce Type: new Abstract: A generalized Wigner matrix perturbed by a finite-rank deterministic matrix is considered. The fluctuations of the largest eigenvalues, which emerge outside the bulk of the spectrum, and the corresponding eigenvectors, are studied. Under certain assumptions on the perturb... | https://arxiv.org/abs/2601.10204 | Academic Papers | svg |
0ada95684754788e7d53f1453a9e4556682720c0f548162776ad99535defc9b3 | 2026-01-16T00:00:00-05:00 | Biharmonic and Interpolating Sesqui-Harmonic Vector Fields with Respect to the varphi-Sasakian Metric | arXiv:2601.10216v1 Announce Type: new Abstract: This work investigates biharmonic and interpolating sesqui-harmonic vector fields on the tangent bundle of a para-K\"ahler--Norden manifold (M, varphi, g) endowed with the varphi-Sasaki metric. We derive the first variation of the bienergy and interpolating sesqui-energy ... | https://arxiv.org/abs/2601.10216 | Academic Papers | svg |
a2ba9a949c5ffaeb2247e6a0c4c8ee934c47b9143d0110e6f1000ad2d96507c5 | 2026-01-16T00:00:00-05:00 | Nuclear Toeplitz operators between Fock spaces | arXiv:2601.10217v1 Announce Type: new Abstract: We study Toeplitz operators with measure-valued symbols acting between Fock spaces. Given $1\le p,q\le\infty$ and a Borel measure $\mu$ on $\mathbb C$, we investigate when the associated Toeplitz operator \[ T_\mu : F^p_\alpha \to F^q_\alpha \] belongs to the nuclear clas... | https://arxiv.org/abs/2601.10217 | Academic Papers | svg |
3b99dc62f09cf59210ea7bda7417ea6d29c7730450432fe418258f419d302eb0 | 2026-01-16T00:00:00-05:00 | Unrefinable Partitions into Distinct Parts and Numerical Semigroups | arXiv:2601.10227v1 Announce Type: new Abstract: This article investigates structural connections between unrefinable partitions into distinct parts and numerical semigroups. By analysing the hooksets of Young diagrams associated with numerical sets, new criteria for recognising unrefinable partitions are established. A... | https://arxiv.org/abs/2601.10227 | Academic Papers | svg |
9802ca5b30ec1ab181b72c5986c9e01a5822ac986d2061dd3ec7af0abde657e8 | 2026-01-16T00:00:00-05:00 | Inconsistency of Reinhardt cardinals with $\mathsf{ZF}$ | arXiv:2601.10231v1 Announce Type: new Abstract: A proof will be presented that the existence of a non-trivial $\Sigma_1$-elementary embedding $j: V_{\lambda+3} \prec V_{\lambda+3}$ is inconsistent with $\textsf{ZF}$. Sections 1 and 2 shall review various important contributions from the literature, notably including \c... | https://arxiv.org/abs/2601.10231 | Academic Papers | svg |
6d578b47d0cb91336cf2d7fa5ffa8f679bdd522fde5d3bf30fe8fa9be87d5f2c | 2026-01-16T00:00:00-05:00 | Synchronization and Hopf Bifurcation in Stuart--Landau Networks | arXiv:2601.10234v1 Announce Type: new Abstract: The Kuramoto model has shaped our understanding of synchronization in complex systems, yet its phase-only formulation neglects amplitude dynamics that are intrinsic to many oscillatory networks. In this work, we revisit Kuramoto-type synchronization through networks of St... | https://arxiv.org/abs/2601.10234 | Academic Papers | svg |
ce87ff094460a6126c854b295ee4e58300fb565d397884228d6ff99f5cb4663d | 2026-01-16T00:00:00-05:00 | A flower theorem in $\mathbb{C}^n$ | arXiv:2601.10235v1 Announce Type: new Abstract: We prove an analog of the flower theorem for non-degenerate reduced tangent to the identity germs that fix the coordinate hyperspaces in any dimension. | https://arxiv.org/abs/2601.10235 | Academic Papers | svg |
709ef9b98b295455ca5ba435d1092155d8e12ef69e34639a9216ae753dcdff90 | 2026-01-16T00:00:00-05:00 | Ramsey number of a cycle versus a graph of a given size | arXiv:2601.10238v1 Announce Type: new Abstract: In this paper, we prove that for every $k$ and every graph $H$ with $m$ edges and no isolated vertices, the Ramsey number $R(C_k,H)$ is at most $2m+\lfloor \frac{k-1}{2} \rfloor$, provided $m$ is sufficiently large with respect to $k$. This settles a problem of Erd\H{o}s,... | https://arxiv.org/abs/2601.10238 | Academic Papers | svg |
66b233ae850fe9af446f37d532231aa9c3a63a66ffe1a21cd857af5885c05bde | 2026-01-16T00:00:00-05:00 | Model order reduction of piecewise linear mechanical systems using invariant cones | arXiv:2601.10241v1 Announce Type: new Abstract: We present a methodology that extends invariant manifold theory to a class of autonomous piecewise linear systems with nonsmoothness at the equilibrium, providing a framework for model order reduction in mechanical structures with compliant contact laws. The key idea is t... | https://arxiv.org/abs/2601.10241 | Academic Papers | svg |
7758e0f006d77cad05150d117aa512829293fb549e7ebe61f627e78e13134ae5 | 2026-01-16T00:00:00-05:00 | Critical time of the almost 2-regular random degree constrained process | arXiv:2601.10249v1 Announce Type: new Abstract: We study the phase transition of the random degree constrained process (RDCP), a time-evolving random graph model introduced by Ruci\'nski and Wormald that generalizes the random $d$-process to the non-regular setting: each vertex of the complete graph $K_n$ has its pre-a... | https://arxiv.org/abs/2601.10249 | Academic Papers | svg |
3473fd57a10f254dcb7fa2f46082a50f9a0c9173c848577302bf39fc88b3405e | 2026-01-16T00:00:00-05:00 | Controllability score for linear time-invariant systems on an infinite time horizon | arXiv:2601.10260v1 Announce Type: new Abstract: We introduce a scaled controllability Gramian that can be computed reliably even for unstable systems. Using this scaled Gramian, we reformulate the controllability scoring problems into equivalent but numerically stable optimization problems. Their optimal solutions defi... | https://arxiv.org/abs/2601.10260 | Academic Papers | svg |
46ea618684f9d459e0c3a2f998011586030f1108a659c7a38eea18932012772b | 2026-01-16T00:00:00-05:00 | Three-dimensional compact Heterotic solitons with parallel torsion | arXiv:2601.10270v1 Announce Type: new Abstract: We obtain a rigidity result for compact three-dimensional Heterotic solitons with parallel non-trivial torsion. We show that they are either hyperbolic three-manifolds or compact quotients of the Heisenberg group equipped with a left-invariant metric. In particular, the l... | https://arxiv.org/abs/2601.10270 | Academic Papers | svg |
80cd76a1a7925f360c2241915cba46a6223be1ff53247ba1c9e3b68e33aa5c9b | 2026-01-16T00:00:00-05:00 | On a general identity and a resulting class of umbral operators | arXiv:2601.10275v1 Announce Type: new Abstract: We prove a new universal identity for umbral operators. This motivates the definition of a subclass obeying a simplified identity, which we then fully characterize. The results are illustrated with common examples of the theory of umbral calculus. | https://arxiv.org/abs/2601.10275 | Academic Papers | svg |
ff9bca114897880e4de3f0081dfd2a25d1ddb2e731d7486d2e9b8609926c6d00 | 2026-01-16T00:00:00-05:00 | New Upper Bounds on the Ribbonlength of Alternating Links with Bipartite Dual Graphs | arXiv:2601.10278v1 Announce Type: new Abstract: The ribbonlength of a link is a geometric invariant defined as the infimum of the ratio of the length to the width of a folded ribbon realization of the link. In this paper, we prove that if an alternating link admits an alternating diagram with a bipartite dual graph, th... | https://arxiv.org/abs/2601.10278 | Academic Papers | svg |
a3dc207bccd5c86bea51b078d12a931e26d06bf2328fb4c273a85992a3136c30 | 2026-01-16T00:00:00-05:00 | Optimisation of the lowest Robin eigenvalue in exterior domains of the hyperbolic plane | arXiv:2601.10280v1 Announce Type: new Abstract: We consider the Robin Laplacian in the exterior of a bounded simply-connected Lipschitz domain in the hyperbolic plane. We show that the essential spectrum of this operator is $[\frac14,\infty)$ and that, under convexity assumption on the domain, there exist discrete eige... | https://arxiv.org/abs/2601.10280 | Academic Papers | svg |
f23c000a1662fcb934879fb8840202aa582034e9501917f41c97d74a943278b6 | 2026-01-16T00:00:00-05:00 | On holonomy groups of K-contact sub-pseudo-Riemannian manifolds | arXiv:2601.10286v1 Announce Type: new Abstract: This article investigates the holonomy groups of K-contact sub-pseudo-Riemannian manifolds. The primary result is a proof that the horizontal holonomy group either coincides with the adapted holonomy group or acts as its normal subgroup of codimension one. The theory is a... | https://arxiv.org/abs/2601.10286 | Academic Papers | svg |
54605890afd607bc58c1678e7f04d615f3af04ffb911e4d3283fe91f7be2999d | 2026-01-16T00:00:00-05:00 | High-Contrast Transmission Resonances for the Lam\'e System | arXiv:2601.10290v1 Announce Type: new Abstract: We consider the Lam\'e transmission problem in $\mathbb{R}^3$ with a bounded isotropic elastic inclusion in a high-contrast setting, where the interior-to-exterior Lam\'e moduli and densities scale like $1/\tau$ as $\tau\to0$. We study the scattering resonances of the ass... | https://arxiv.org/abs/2601.10290 | Academic Papers | svg |
1307b675e92cc1821058be0b3e43fbc1fbc47d192f6f84c7250c4809b762d7ab | 2026-01-16T00:00:00-05:00 | Two dimensional covering systems and possible prime producing $a^m-b^n$ | arXiv:2601.10296v1 Announce Type: new Abstract: We exhibit a new application of two dimensional covering systems, examples of integer pairs $a,b$ for which $a^m-b^n$ has a prime divisor from some given finite set of primes, for every pair of integers $m,n\geq 0$. This leads us to conjecture what are the only possible o... | https://arxiv.org/abs/2601.10296 | Academic Papers | svg |
0a621c0c0cb94ffc35ebdf08d792792fc8886ff614e273bad9cdc42f9c43fca6 | 2026-01-16T00:00:00-05:00 | Global minimizers for a two-sided biharmonic Alt-Caffarelli problem | arXiv:2601.10297v1 Announce Type: new Abstract: We study global minimizers of biharmonic analogues of the Alt-Caffarelli functional. It turns out that half-space solutions are global minimizers for the two-sided Alt-Caffarelli functional, but not in the one-sided case. In addition, we identify a further class of global... | https://arxiv.org/abs/2601.10297 | Academic Papers | svg |
fbf0bba617f2be1f7d19bfc20d3636504f534086745c395197eef67e65a80391 | 2026-01-16T00:00:00-05:00 | Kummer-faithful fields with finitely generated absolute Galois group | arXiv:2601.10298v1 Announce Type: new Abstract: This paper studies the structure of the Mordell--Weil groups of semiabelian varieties over algebraic extensions of number fields whose absolute Galois group is finitely generated, with particular emphasis on that generated by a single element. A probabilistic argument usi... | https://arxiv.org/abs/2601.10298 | Academic Papers | svg |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.