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 |
|---|---|---|---|---|---|---|
5b024f90671ab2ffa93e70a93966eeb2b2dcdf9af08abb5583e1e2ab51f4e38d | 2026-01-13T00:00:00-05:00 | Heat as a gauge connection | arXiv:2503.08753v2 Announce Type: replace-cross Abstract: We show that heat defines a gauge connection on a line bundle over work configurations. Vanishing curvature is equivalent to the local existence of entropy and temperature functions such that heat can be expressed as $TdS$. A conjecture of Jauch, that entropy an... | https://arxiv.org/abs/2503.08753 | Academic Papers | svg |
530a906f4f97372027b0daf5d40451951f02d8fe3f6396d8eac381d79e6ac18e | 2026-01-13T00:00:00-05:00 | Observation of a generalized Gibbs ensemble in photonics | arXiv:2503.16526v2 Announce Type: replace-cross Abstract: In generic classical and quantum many-body systems, where typically energy and particle number are the only conserved quantities, stationary states are described by thermal equilibrium. In contrast, integrable systems showcase an infinite hierarchy of conserved ... | https://arxiv.org/abs/2503.16526 | Academic Papers | svg |
f14bf8392d8e7b2d5d1de220575a5b23e2e5a70b4e1335b0d098e2a49c73c783 | 2026-01-13T00:00:00-05:00 | LOGLO-FNO: Efficient Learning of Local and Global Features in Fourier Neural Operators | arXiv:2504.04260v2 Announce Type: replace-cross Abstract: Modeling high-frequency information is a critical challenge in scientific machine learning. For instance, fully turbulent flow simulations of the Navier-Stokes equations at Reynolds numbers 3500 and above can generate high-frequency signals due to swirling fluid... | https://arxiv.org/abs/2504.04260 | Academic Papers | svg |
db4ef4eb0658159a154ee855879b2e47d406976f22454d30110d9ce3a8cf449f | 2026-01-13T00:00:00-05:00 | Radiation-induced Instability of Organic-Inorganic Halide Perovskite Single Crystals | arXiv:2504.06222v2 Announce Type: replace-cross Abstract: Organic-inorganic halide perovskites (OIHPs) are promising optoelectronic materials, but their instability under radiation environments restricts their durability and practical applications. Here we employ electron and synchrotron X-ray beams, individually, to i... | https://arxiv.org/abs/2504.06222 | Academic Papers | svg |
aa201b1ff4a3c3c2ae054ca7f5f081647e38c5daed22dda247592f21c4f0b2f7 | 2026-01-13T00:00:00-05:00 | Spin polarized enantio-sensitive multipolar photoelectron currents | arXiv:2505.23460v3 Announce Type: replace-cross Abstract: Photoelectron circular dichroism (PECD) manifests as a forward-backward asymmetry of electron emission in the direction orthogonal to the light polarization plane via one-photon ionization of chiral molecules with circularly polarized light. Multi-polar `PECD' c... | https://arxiv.org/abs/2505.23460 | Academic Papers | svg |
95c9bed2f41a7df1c3ba8b433b3b1eb9ff7805054d291baf743e104ac534cdc4 | 2026-01-13T00:00:00-05:00 | Uncovering the Computational Roles of Nonlinearity in Sequence Modeling Using Almost-Linear RNNs | arXiv:2506.07919v2 Announce Type: replace-cross Abstract: Sequence modeling tasks across domains such as natural language processing, time series forecasting, and control require learning complex input-output mappings. Nonlinear recurrence is theoretically required for universal approximation of sequence-to-sequence fu... | https://arxiv.org/abs/2506.07919 | Academic Papers | svg |
363548a1d6edb944d6a470e4e2df70098579b999a5bc7aabd19d8e1fb1529aed | 2026-01-13T00:00:00-05:00 | Phase-Space Topology in a Single-Atom Synthetic Dimension | arXiv:2506.24020v4 Announce Type: replace-cross Abstract: We investigate topological features in the synthetic Fock-state lattice (FSL) of a single-atom system described by the quantum Rabi model. By diagonalizing the Hamiltonian, we identify a zero-energy defect state localized at a domain wall of the FSL, whose spin ... | https://arxiv.org/abs/2506.24020 | Academic Papers | svg |
632d7f3af1054113402d93bd3b18abc71b8df88a3015cc3b93620114d76dbe0f | 2026-01-13T00:00:00-05:00 | Three-boson scattering hypervolume for a nonzero orbital angular momentum | arXiv:2507.20787v2 Announce Type: replace-cross Abstract: We analyze the zero energy collision of three identical bosons in the same internal state with total orbital angular momentum $L=2$, assuming short range interactions. By solving the Schr\"odinger equation asymptotically, we derive two expansions of the wave fun... | https://arxiv.org/abs/2507.20787 | Academic Papers | svg |
35bdef70bf5d352e39d2975705d5835f272d1576622c341c381d35a383c0b211 | 2026-01-13T00:00:00-05:00 | Beyond asymptotic reasoning: the practicalities of a quantum ground state projector based on the wall-Chebyshev expansion | arXiv:2508.00533v3 Announce Type: replace-cross Abstract: We consider a quantum algorithm for ground-state preparation based on a Chebyshev series approximation to the wall function. In a classical setting, this approach is appealing as it guarantees rapid convergence. We analyze the asymptotic scaling and success prob... | https://arxiv.org/abs/2508.00533 | Academic Papers | svg |
aa03c15c8b9b98c2c21b93deb746d1f927a49c05a58805d2dbf935f03199b3a0 | 2026-01-13T00:00:00-05:00 | First Light from Beam Neutrinos on an LAPPD in ANNIE | arXiv:2508.11111v2 Announce Type: replace-cross Abstract: The Accelerator Neutrino Neutron Interaction Experiment (ANNIE) is both a physics experiment and a technology testbed for next-generation light-based neutrino detection. In this paper, we report the first demonstration of a fully integrated Large Area Picosecond... | https://arxiv.org/abs/2508.11111 | Academic Papers | svg |
10a4b9369f84e7b31a617ac43f157e08a6f168a93f19324fcd2119ff5adc589a | 2026-01-13T00:00:00-05:00 | Thermoelectric power factors of defective scandium nitride nanostructures from first principles | arXiv:2509.14762v3 Announce Type: replace-cross Abstract: The thermoelectric properties of scandium nitride are strongly influenced by structural and electronic factors arising from defects and impurities. Nevertheless, the mechanisms by which these microscopic features affect transport are not yet fully understood. Ex... | https://arxiv.org/abs/2509.14762 | Academic Papers | svg |
957ce32eb619cda92b6e800c81e4a2507a951132423d7bcda1c283f028d99ad2 | 2026-01-13T00:00:00-05:00 | Dynamically stable optical trapping of thermophoretically active Janus colloids | arXiv:2509.21088v2 Announce Type: replace-cross Abstract: The ability to optically trap and manipulate artificial microswimmers such as active Janus particles (JPs) provides a breakthrough in active matter research and applications. However, it presents significant challenges because of the asymmetry in the optical pro... | https://arxiv.org/abs/2509.21088 | Academic Papers | svg |
37e0f24b95e24320b3e075df016f0f301744313e88cbfce56ec21bfc8dc08bda | 2026-01-13T00:00:00-05:00 | Tunable optical lattices for the creation of matter-wave lattice solitons | arXiv:2509.22471v2 Announce Type: replace-cross Abstract: We present experimental techniques that employ an optical accordion lattice with dynamically tunable spacing to create and study bright matter-wave solitons in optical lattices. The system allows precise control of lattice parameters over a wide range of lattice... | https://arxiv.org/abs/2509.22471 | Academic Papers | svg |
394fc1e375799fa97baa42973066649b03c53e64d6058baeb7bbfb51662dd0a1 | 2026-01-13T00:00:00-05:00 | SymBoltz.jl: a symbolic-numeric, approximation-free and differentiable linear Einstein-Boltzmann solver | arXiv:2509.24740v2 Announce Type: replace-cross Abstract: SymBoltz is a new Julia package that solves the linear Einstein-Boltzmann equations. It features a symbolic-numeric interface for specifying equations, is free of approximation switching schemes and is compatible with automatic differentiation. Cosmological mode... | https://arxiv.org/abs/2509.24740 | Academic Papers | svg |
2a497ec37aa21b1ed3f3f45726a6df0d00d16d12ab885439ea2a23f4ea509569 | 2026-01-13T00:00:00-05:00 | Machine Learning Interatomic Potentials Enable Molecular Dynamics Simulations of Doped MoS2 | arXiv:2510.05339v2 Announce Type: replace-cross Abstract: We present the first computational framework for molecular dynamics simulation of MoS2 doped with 25 elements spanning metals, non-metals, and transition metals using Meta's Universal Model for Atoms machine learning interatomic potential (MLIP). Benchmarking ag... | https://arxiv.org/abs/2510.05339 | Academic Papers | svg |
9d2f1fde1afe15f193fffa47b351d239020997c0eb924f153b01d83093b0bc38 | 2026-01-13T00:00:00-05:00 | Thermodynamics of data | arXiv:2510.06818v2 Announce Type: replace-cross Abstract: The recently introduced concept of generalized thermodynamics is explored here in the context of 1d, 2d and 3d data analysis, performed on samples drawn from a 3d X-ray soil sample image. Different threshold levels are used to binarize the 3d sample, wherefrom r... | https://arxiv.org/abs/2510.06818 | Academic Papers | svg |
11bd8a22fd25a9d4472ec96a11ea6b2f4f4ea5d198ed2bfc279318aab0a9ffb0 | 2026-01-13T00:00:00-05:00 | Quantum Monte Carlo study of low-dimensional Fermi fluids of dipolar atoms | arXiv:2510.19533v2 Announce Type: replace-cross Abstract: Fermionic cold atoms in optical traps provide viable quantum simulators of correlation effects in electronic systems. For dressed Rydberg atoms in two-dimensional traps with out-of-plane dipole moments, a realistic model of the pairwise interaction is of repulsi... | https://arxiv.org/abs/2510.19533 | Academic Papers | svg |
24d05da480cd5ab9fecb61500594fa58b878f884f0ed2a0968d10808c56b226d | 2026-01-13T00:00:00-05:00 | Transverse superconducting diode without parity and time-reversal violation | arXiv:2511.01560v2 Announce Type: replace-cross Abstract: The superconducting diode effect (SDE) is characterized by its nonreciprocal nature in critical supercurrents. However, realizing a longitudinal SDE typically requires simultaneous time-reversal ($\mathcal{T}$) and inversion ($\mathcal{P}$) symmetry breaking in ... | https://arxiv.org/abs/2511.01560 | Academic Papers | svg |
9169c1c0e64cc95f3c49c22765305992f7bfefa05c0dae58a042a6ae2a869832 | 2026-01-13T00:00:00-05:00 | Implementation of transformer-based LLMs with large-scale optoelectronic neurons on a CMOS compatible platform | arXiv:2511.04136v2 Announce Type: replace-cross Abstract: The recent rapid deployment of datacenter infrastructures for performing large language models (LLMs) and related artificial intelligence (AI) applications in the clouds is predicted to incur an exponentially growing energy consumption in the near-term future. I... | https://arxiv.org/abs/2511.04136 | Academic Papers | svg |
aa6617b8a857dd1b9be4bbcb22f066fdee0bc8a548647b4ea482ce9162b6f934 | 2026-01-13T00:00:00-05:00 | Partial Collapse and Ensemble Invariance under Continuous Quantum Measurement | arXiv:2512.22235v2 Announce Type: replace-cross Abstract: Wavefunction collapse is commonly associated with unavoidable physical disturbance of the measured system. Here we show that in driven-dissipative quantum systems, continuous measurement can induce strong trajectory-level collapse while leaving the ensemble-aver... | https://arxiv.org/abs/2512.22235 | Academic Papers | svg |
bdc06cc1678748bf8d9ea5cdca0b704a108e7eae729da395cb7d78e66fecd4fa | 2026-01-13T00:00:00-05:00 | Casimir Arc Plate Geometry: Computational Analysis of Thickness Constraints for Gold and Silver Nanomembranes in MEMS Applications | arXiv:2512.22352v2 Announce Type: replace-cross Abstract: A theoretical analysis of the Casimir interaction between an arc and plate is conducted, which remains unexplored despite its relevance to Micro-Electro-Mechanical Systems (MEMS) fabrication. The configuration consists of a rigid finite plate and a flexible curv... | https://arxiv.org/abs/2512.22352 | Academic Papers | svg |
41c08144c10024e20021523447c9b4f55c732e8640d27c714023fcc25961ce0e | 2026-01-13T00:00:00-05:00 | Local Scale Invariance in Quantum Theory: A Non-Hermitian Pilot-Wave Formulation | arXiv:2601.03567v2 Announce Type: replace-cross Abstract: We show that Weyl's abandoned idea of local scale invariance has a natural realization at the quantum level in pilot-wave (deBroglie-Bohm) theory. We obtain the Weyl covariant derivative by complexifying the electromagnetic gauge coupling parameter. The resultan... | https://arxiv.org/abs/2601.03567 | Academic Papers | svg |
763d2c05fec2330d5ae3a08c3dd5d1d8bd5bfa545c442989e5cc8f076a28819f | 2026-01-13T00:00:00-05:00 | Self-Organized Criticality from Protected Mean-Field Dynamics: Loop Stability and Internal Renormalization in Reflective Neural Systems | arXiv:2601.04450v2 Announce Type: replace-cross Abstract: The reflective homeostatic dynamics provides a minimal mechanism for self-organized criticality in neural systems. Starting from a reduced stochastic description, we demonstrate within the MSRJD field-theoretic framework that fluctuation effects do not destabili... | https://arxiv.org/abs/2601.04450 | Academic Papers | svg |
f36b1df459edf9cd7569c74bd9489b2442740271767af66df93d4eb99fa1437a | 2026-01-13T00:00:00-05:00 | Crystal Generation using the Fully Differentiable Pipeline and Latent Space Optimization | arXiv:2601.04606v2 Announce Type: replace-cross Abstract: We present a materials generation framework that couples a symmetry-conditioned variational autoencoder (CVAE) with a differentiable SO(3) power spectrum objective to steer candidates toward a specified local environment under the crystallographic constraints. I... | https://arxiv.org/abs/2601.04606 | Academic Papers | svg |
3410e3c9230d7b11c771dece429961beac27cc8fe5a22775fc118c93905b137e | 2026-01-13T00:00:00-05:00 | Vorticity-Crystalline Order Coupling in Supersolids: Excitations and Re-entrant Phases | arXiv:2601.05846v2 Announce Type: replace-cross Abstract: Rotation is a natural tool in ultracold gases to break time-reversal symmetry, yet its impact on the collective excitations of supersolids remains largely unexplored. We show theoretically that tuning the rotation frequency, rather than the interparticle interac... | https://arxiv.org/abs/2601.05846 | Academic Papers | svg |
37dd75f455599b214361af1faeb848a6cc85ee2593957d78a839db31005a0077 | 2026-01-13T00:00:00-05:00 | A $3\times3$ linear $q$-difference system with $E_8^{(1)}$-symmetry | arXiv:2601.06070v1 Announce Type: new Abstract: We present a linear $q$-difference equation of rank $3$, which admits the affine Weyl group symmetry of type $E_8^{(1)}$. We further compare this equation with Moriyama-Yamada's quantum curve which has $W(E_8^{(1)})$-symmetry. The symmetry of our equation is provided by t... | https://arxiv.org/abs/2601.06070 | Academic Papers | svg |
6baf66f9f94380a085e05d42e50ad13909a80fee8e5b131acfcd703067fb4425 | 2026-01-13T00:00:00-05:00 | Port--Hamiltonian Diffusion Models: A Control-Theoretic Perspective on Generative Modeling | arXiv:2601.06071v1 Announce Type: new Abstract: Diffusion models have recently achieved remarkable success in generative modeling, yet they are commonly formulated as black-box stochastic systems with limited interpretability and few structural guarantees. In this paper, we establish a control-theoretic foundation for ... | https://arxiv.org/abs/2601.06071 | Academic Papers | svg |
d2706dfc905d76fd2ebc8f21826cfe4993332a31a854f676c63ef50356994ca9 | 2026-01-13T00:00:00-05:00 | A Characterization of Quadrics Among Affine Hyperspheres by Section-Centroid Location | arXiv:2601.06107v1 Announce Type: new Abstract: A theorem of Meyer and Reisner characterizes ellipsoids by the collinearity of centroids of parallel sections: if $\Omega\subset\mathbb{R}^{n+1}$ is a convex body such that for every $n$-dimensional subspace $M\subset\mathbb{R}^{n+1}$ the centroids of the sections $(x+M)\... | https://arxiv.org/abs/2601.06107 | Academic Papers | svg |
595a24818f3809153cd57d65d498cc2d83409cafcfa2852b32ed7c72bde6f4c7 | 2026-01-13T00:00:00-05:00 | Quantitative local inversion and a minimax depth barrier for canonical systems from fixed-height Weyl-Schur seam data | arXiv:2601.06128v1 Announce Type: new Abstract: Fix $\Lambda>0$ and consider trace-normed $2\times 2$ canonical systems $\begin{pmatrix}0&-1\\1&0\end{pmatrix}Y'(s)=zH(s)Y(s)$ on $[0,\Lambda]$, extended by the free tail $H(s)=\frac12 I$ for $s\ge\Lambda$. The Weyl-Titchmarsh coefficient $m_{H,\Lambda}$ and its Cayley tr... | https://arxiv.org/abs/2601.06128 | Academic Papers | svg |
b43478a07e8a8f059a5372136defb0c42999c3c063a1583fd10fecc0f45c71a1 | 2026-01-13T00:00:00-05:00 | Derivative for Functions $f : G \to H$, Where $G$ Is a Metric Divisible Group | arXiv:2601.06130v1 Announce Type: new Abstract: In this paper, a derivative for functions $f : G \to H$, where $G$ is any metric divisible group and $H$ is a metric Abelian group with a group metric, is defined. Basic differentiation theorems are stated and demonstrated. In particular, we obtain the Chain Rule | https://arxiv.org/abs/2601.06130 | Academic Papers | svg |
c4cc61b3a97ae9c5412fcaa1adf0cad225272b52a27141f33252732e572e001c | 2026-01-13T00:00:00-05:00 | Algebraic Classification of All 880 Fourth-Order Magic Squares and the Discovery of Complete Alternating Magic Squares | arXiv:2601.06131v1 Announce Type: new Abstract: In this paper, we introduce a newly defined algebraic invariant for square matrices termed the \emph{Alternating Power Difference (APD)}. The APD is defined as the signed sum of the powers of diagonal sums along permutations of the symmetric group, distinguishing between ... | https://arxiv.org/abs/2601.06131 | Academic Papers | svg |
62d13bf5f3e252bca455f9eb96eb83dd7495607a0c217d68602a6e8fdbfd31f8 | 2026-01-13T00:00:00-05:00 | The Geometric Origin of the Cayley-Hamilton Theorem: A Constructive Proof via Dimensional Syzygy | arXiv:2601.06136v1 Announce Type: new Abstract: We demonstrate that the Cayley-Hamilton theorem is a derived consequence of a more fundamental dimensional constraint: the syzygy formed by the tensor product of two Levi-Civita symbols, which vanishes identically in m-dimensional space. By shifting perspective from the t... | https://arxiv.org/abs/2601.06136 | Academic Papers | svg |
65843a31cebe875c12ce587b797820addb3cce01f03f04050cb2eb6a204ac5ea | 2026-01-13T00:00:00-05:00 | New ideas to the design of algorithms based on derivatives | arXiv:2601.06146v1 Announce Type: new Abstract: This article proposes new perspectives for developing derivative based numerical algorithms, supported by the introduction of a generalized derivative operators. It demonstrates that these operators have the potential to enhance and extend existing derivativebased numeric... | https://arxiv.org/abs/2601.06146 | Academic Papers | svg |
2b7e4e9df3944886faf5aa122018652bca0e196079f3602eb45d14c6978160f7 | 2026-01-13T00:00:00-05:00 | Analyze the Density of Words over Morphism $\{a,b\}$ | arXiv:2601.06150v1 Announce Type: new Abstract: In this paper, we analyze the density of the Fibonacci word and its derived forms by examining the morphisms associated with each. It offers a comparative analysis of the density of Fibonacci numbers alongside other words derived from Fibonacci word. Fibonacci words over ... | https://arxiv.org/abs/2601.06150 | Academic Papers | svg |
45e097eadcb464b4ad1abc68d2e87ec1e7a12db0fcdf17e2bbdd0858941db9d8 | 2026-01-13T00:00:00-05:00 | A 920-block explicit construction guaranteeing a triple intersection with every 6-subset of [60] | arXiv:2601.06179v1 Announce Type: new Abstract: We present an explicit family $\mathcal{B}$ of $920$ subsets of size $6$ of $[60]=\{1,\dots,60\}$ with the property that every $6$-subset $S\subset[60]$ intersects at least one block $B\in\mathcal{B}$ in at least three elements, i.e.\ $|S\cap B|\ge 3$. The construction is... | https://arxiv.org/abs/2601.06179 | Academic Papers | svg |
6578bb095b7aa658df862cb5008ecff5d8949544a1582c5ebdb080015b7159a1 | 2026-01-13T00:00:00-05:00 | Consciousness in a Higher Categorical Context | arXiv:2601.06192v1 Announce Type: new Abstract: We provide two representations of the Segal category $\mathcal{X}$ modeling natural phenomena, the first one being based on the concept of micro-reversibility, producing a long sequence $\Sigma$ of categories as a resolution of $\mathcal{X}$, the second one providing grad... | https://arxiv.org/abs/2601.06192 | Academic Papers | svg |
ad222b67c8f810c2626082454ca4b8f4cd4c64275ab1278d62a52eab4c0da408 | 2026-01-13T00:00:00-05:00 | An Extension of the Collatz Conjecture modulo $2^p+2^q$ | arXiv:2601.06208v1 Announce Type: new Abstract: In this paper, we will introduce an extension to the Collatz's conjecture. This conjecture may be seen as a general conjecture that unifies the Collatz one together with many other similar conjectures. For instance, we propose our new conjecture modulo $10$ which may be s... | https://arxiv.org/abs/2601.06208 | Academic Papers | svg |
d43b8e274cecf645f98929ded545a7403d5917000ef77a9266016e0356502b6b | 2026-01-13T00:00:00-05:00 | Applications of an identity of Bat{\i}r | arXiv:2601.06210v1 Announce Type: new Abstract: Based on an interesting identity of Bat{\i}r we derive new identities for double sums involving famous number sequences. We also prove some double sum identities for binomial transform pairs. | https://arxiv.org/abs/2601.06210 | Academic Papers | svg |
8af563c7472004e708d7283a6974d3368de183ea2b95f0b41ba168feaabc232e | 2026-01-13T00:00:00-05:00 | Realising all countable groups as quasi-isometry groups | arXiv:2601.06261v1 Announce Type: new Abstract: Given any countable group $G$, we construct uncountably many quasi-isometry classes of proper geodesic metric spaces with quasi-isometry group isomorphic to $G$. Moreover, if the group $G$ is a hyperbolic group, the spaces we construct are hyperbolic metric spaces. We mak... | https://arxiv.org/abs/2601.06261 | Academic Papers | svg |
ae61309c10e39123ca9dcaed66bc4938f6c0b2c8cddf627ada37b5e611620bf6 | 2026-01-13T00:00:00-05:00 | A characterisation of probabilistic metrizability for approach spaces | arXiv:2601.06269v1 Announce Type: new Abstract: Characterisations of metrizable topological spaces or metrizable uniform spaces are well known. A natural counterpart to being metrizable for topological spaces can be expressed in terms of probabilistic metrizability for approach spaces. The notion of a probabilistic met... | https://arxiv.org/abs/2601.06269 | Academic Papers | svg |
32523a520f12a1ef0e48e40195e8ff76003084b4de1ce616eafacc990a7c33c1 | 2026-01-13T00:00:00-05:00 | Eigenvalues of $p$-adic random matrices | arXiv:2601.06283v1 Announce Type: new Abstract: We develop the basic theory of eigenvalues of $p$-adic random matrices, analogous to the classical theory for random matrices over $\mathbb{R}$ and $\mathbb{C}$. Such eigenvalue statistics were proposed as a model for the zeroes of $p$-adic $L$-functions by Ellenberg-Jain... | https://arxiv.org/abs/2601.06283 | Academic Papers | svg |
80bccd9e494dea462bf5e83f33286c968eae65868510ed36bba24da57d2e1aa8 | 2026-01-13T00:00:00-05:00 | The discrete second moment of mixed derivatives of the Riemann zeta function | arXiv:2601.06292v1 Announce Type: new Abstract: We establish the full asymptotic for the discrete second moment of the Riemann zeta function of mixed derivatives evaluated at the zeta zeros, providing both unconditional and conditional error terms. This was first studied by Gonek, where only the leading order asymptoti... | https://arxiv.org/abs/2601.06292 | Academic Papers | svg |
d497718285c0decc5c153e044b60e7d7e953b1dab119a839fa576183af033b5d | 2026-01-13T00:00:00-05:00 | Some minimum topological spaces, and vector lattices | arXiv:2601.06310v1 Announce Type: new Abstract: We investigate the existence of compact Hausdorff spaces $X$ that are minimum with respect to $cX=K$ for some fixed covering operator $c$ and compact Hausdorff space $K$ with $cK=K$. Then, using the Yosida representation theorem, we show how that situation relates to the ... | https://arxiv.org/abs/2601.06310 | Academic Papers | svg |
b1463532cf1942a5b5c45f9488305bc207ba89c2a634c5a8ae177579e83af570 | 2026-01-13T00:00:00-05:00 | Estimation of the intercept parameter in integrated Galton-Watson processes | arXiv:2601.06317v1 Announce Type: new Abstract: We study estimation of the intercept parameter in an integrated Galton-Watson process, a basic building-block for many count-valued time series models. In this unit root setting, the ordinary least squares estimator is inconsistent, whereas an existing weighted least squa... | https://arxiv.org/abs/2601.06317 | Academic Papers | svg |
0a93fb98e78235204bdef4a69bdaf127acccfd11c73ece822aaa634b034ae8e2 | 2026-01-13T00:00:00-05:00 | Multi-fidelity constraints in blackbox optimization | arXiv:2601.06321v1 Announce Type: new Abstract: This work studies constrained blackbox optimization problems that cannot be solved in reasonable time due to prohibitive computational costs. This challenge is especially prevalent in industrial applications, where blackbox evaluations are costly. However, constraints can... | https://arxiv.org/abs/2601.06321 | Academic Papers | svg |
aa19c9c3da54d8a79a22044d94e7d3a71aff64310eba799f4711021dbf29966e | 2026-01-13T00:00:00-05:00 | Uniformly affine actions on Banach spaces: growth of cocycles | arXiv:2601.06322v1 Announce Type: new Abstract: We investigate growth properties of cocycles with values in uniformly bounded representations on super-reflexive Banach spaces; this includes $L^p$-spaces for $1<\infty$ as well as Hilbert spaces. We then study the generalized Hilbert compression of cocycles arising in th... | https://arxiv.org/abs/2601.06322 | Academic Papers | svg |
9f231fa9530dbac76685fdd71ca44fab82af28da6258e1904c84dbdfaac8ced0 | 2026-01-13T00:00:00-05:00 | Estimating the Evolution of Solution Norms in Vector Delay Nonlinear Systems: Stability and Boundedness | arXiv:2601.06324v1 Announce Type: new Abstract: Existing methods rarely capture the temporal evolution of solution norms in vector nonlinear DDEs with variable delays and coefficients, often leading to overly conservative boundedness and stability criteria. We develop a framework that constructs scalar counterparts of ... | https://arxiv.org/abs/2601.06324 | Academic Papers | svg |
419d1ce55f52a9250f6c6d39b3de575646d6dbb1e75832754586dc84f6a883a9 | 2026-01-13T00:00:00-05:00 | Bilateral Solution Bounds and Successive Estimation of Boundedness and Stability Regions for Vector Delay Nonlinear Time-Varying Systems | arXiv:2601.06330v1 Announce Type: new Abstract: Stability and boundedness analysis for vector nonlinear systems with variable delays and coefficients remains challenging due to the conservatism of existing methods. Moreover, estimates of the transient behavior of solution norms remain insufficiently developed. This pap... | https://arxiv.org/abs/2601.06330 | Academic Papers | svg |
1d2e0f1b41449b427afe39cde5f072aef7f8744670a40b0b5d9b5b499cee1890 | 2026-01-13T00:00:00-05:00 | On invariant subalgebras when the ISR property fails | arXiv:2601.06350v1 Announce Type: new Abstract: We classify all $G$-invariant von Neumann subalgebras in $L(G)$ for $G=\mathbb{Z}^2\rtimes SL_2(\mathbb{Z})$. This is the first result on classifying $G$-invariant von Neumann subalgebras in $L(G)$ for i.c.c. groups $G$ without the invariant von Neumann subalgebras rigidi... | https://arxiv.org/abs/2601.06350 | Academic Papers | svg |
3dbdc1ca041105d8863892ba70c493e74cf6ad9db6add76b7289da64b726d4f0 | 2026-01-13T00:00:00-05:00 | Classification of Invariant Subalgebras in a class of factors with property (T) | arXiv:2601.06353v1 Announce Type: new Abstract: Let $n\geq 2$ and $G_n=\mathbb{Z}^n\rtimes SL_n(\mathbb{Z})$. We classify all $G_n$-invariant von Neumann subalgebras in $L(G_n)$. For $n=2$, this gives an alternative proof of the previous result of Jiang-Liu. For $n\geq 3$, this gives the first class of property (T) gro... | https://arxiv.org/abs/2601.06353 | Academic Papers | svg |
df06d2a8f028e16b81db41713e105de65663ecede9ed2500c7adcf2a3a8f74c4 | 2026-01-13T00:00:00-05:00 | Uniform hypergraphs of girth $6$ and $8$ from generalized polygons | arXiv:2601.06374v1 Announce Type: new Abstract: Let $ex_r(N,g)$ be the maximum number of edges in an $r$-uni\-form hypergraph on $N$ vertices with girth at least $g$. We are interested in the asymptotic behavior of this value when $N$ is increasing but parameters $g\in\{6,8\}$ and $r\geq3$ are fixed. It is shown that f... | https://arxiv.org/abs/2601.06374 | Academic Papers | svg |
0ade046fcfcb642fa6f1ada1b828f269fd69d7f12531488d2cb80859caf8e06b | 2026-01-13T00:00:00-05:00 | Toricness and smoothness criteria for spherical varieties | arXiv:2601.06376v1 Announce Type: new Abstract: We prove equivalent numerical conditions for a complete spherical variety to admit a toric structure, and for the smoothness of an arbitrary spherical variety along any given G-orbit. The conditions are in terms of spherical skeletons, a coarse ''subset'' of the Luna-Vust... | https://arxiv.org/abs/2601.06376 | Academic Papers | svg |
a28459dc566daa0b467ded060d9e034a9f5764f6f899ce70b840e559f35e735e | 2026-01-13T00:00:00-05:00 | Cr\'onica de un contraejemplo | arXiv:2601.06379v1 Announce Type: new Abstract: In the 1960s, John Nash proposed a method to resolve singularities. Five decades of encouraging results could not prevent an unexpected ending: the method does not work in general. In this note (written in Spanish), we tell the story of the rise and fall of the Nash blowu... | https://arxiv.org/abs/2601.06379 | Academic Papers | svg |
7e53ee722c39d4ffb02889364de7f5535254c7c47d1a0e3df204868f1cf0c90c | 2026-01-13T00:00:00-05:00 | Well-posedness of state-dependent rank-based interacting systems | arXiv:2601.06383v1 Announce Type: new Abstract: We study the existence and uniqueness of rank-based interacting systems of stochastic differential equations. These systems can be seen as modifications with state-dependent coefficients of the Atlas model in mathematical finance. The coefficients of the underlying SDEs a... | https://arxiv.org/abs/2601.06383 | Academic Papers | svg |
2f1735bed0a6a833bb7f588c8506bee0fd859379a5b9e21d7d5c0935e36f167a | 2026-01-13T00:00:00-05:00 | Integration of branched rough paths | arXiv:2601.06399v1 Announce Type: new Abstract: When the one-form is $Lip\left(\gamma-1\right) $ with $\gamma >p\geq 1$, we construct the integral of a branched $p$-rough path, which defines another branched $p$-rough path. We derive a quantitative bound for this integral and prove that it depends continuously on the d... | https://arxiv.org/abs/2601.06399 | Academic Papers | svg |
75218325786470c354a56e93843759d3ffa8a33e5eb98a9d99a0a0dbfcad5adc | 2026-01-13T00:00:00-05:00 | Dynamics for a viscoelastic beam equation with past history and nonlocal boundary dissipation | arXiv:2601.06414v1 Announce Type: new Abstract: This article aims to study the long-time dynamics of the linear viscoelastic plate equation $\displaystyle{u_{tt}+\Delta^2 u-\int_{\tau}^tg(t-s)\Delta^2u(s)ds=0}$ subject to nonlinear and nonlocal boundary conditions. This model, with $\tau=0$, was first considered by Cav... | https://arxiv.org/abs/2601.06414 | Academic Papers | svg |
7eff80e72592d2dfc5e1dee010653ce203f6551b3abf3d74089cef4bc3cf756d | 2026-01-13T00:00:00-05:00 | Isoperimetric estimates in the product of small and large volume manifolds | arXiv:2601.06421v1 Announce Type: new Abstract: Let $(M^m,g)$, $(N^n,h)$ be closed Riemannian manifolds, $m,n\geq 2$, with concave isoperimetric profiles and volumes $V_M$, $V_N$ respectively. We consider a one parameter family of product manifolds of the same volume, $(X,G_{\lambda})=(M^m\times N^n,\lambda^{2n}g+ \lam... | https://arxiv.org/abs/2601.06421 | Academic Papers | svg |
33a1f53be789583324272aee14df2b3e8c898ce63fa9e3875ba8f5e87ecb087e | 2026-01-13T00:00:00-05:00 | Regions surrounded by cylinders of real algebraic manifolds and natural decompositions | arXiv:2601.06454v1 Announce Type: new Abstract: The author has been interested in regions surrounded by cylinders of real algebraic hypersurfaces and their shapes and polynomials associated to them. Here, we formulate and investigate natural decompositions into such cylinders of real algebraic hypersurfaces. Especially... | https://arxiv.org/abs/2601.06454 | Academic Papers | svg |
91ac1df61be4a96c4ad14e93a8b9970a6815dd6ef677067e0b38c706a2bbbcd1 | 2026-01-13T00:00:00-05:00 | A Note on Pseudofinite W*-Probability Spaces | arXiv:2601.06455v1 Announce Type: new Abstract: We introduce pseudofinite W*-probability spaces. These are W*-probability spaces that are elementarily equivalent to Ocneanu ultraproducts of finite-dimensional von Neumann algebras equipped with arbitrary faithful normal states. We are particularly interested in the case... | https://arxiv.org/abs/2601.06455 | Academic Papers | svg |
800992c1b16577494d537cfdb97b0bf2179a128e10bf26335d12d16d34022413 | 2026-01-13T00:00:00-05:00 | Non-Linear Generalization of the DLR Equations: $q$-Specifications and $q$-Equilibrium Measures | arXiv:2601.06470v1 Announce Type: new Abstract: We introduce a {\it non-linear} generalization of the classical Dobrushin-Lanford-Ruelle (DLR) framework by developing the concept of a $q$-specification and the associated $q$-equilibrium measures. These objects arise naturally from a family of non-linear $q$-stochastic ... | https://arxiv.org/abs/2601.06470 | Academic Papers | svg |
5b34fe2985166c22b5c4944877a28d88f73f526bd27633dbf8d9f383a6001600 | 2026-01-13T00:00:00-05:00 | Herzog ideals and $F$-singularities | arXiv:2601.06476v1 Announce Type: new Abstract: In this paper we study the connection between Herzog ideals (i.e., ideals with a squarefree Gr\"obner degeneration) and $F$-singularities. More precisely, we show that, in positive characteristic, homogeneous Herzog ideals define $F$-anti-nilpotent rings, and we inquire, ... | https://arxiv.org/abs/2601.06476 | Academic Papers | svg |
d94d8a957963885290a5f34474025340430480a8b2264b49642fd7e5694177ef | 2026-01-13T00:00:00-05:00 | Plastic limit of a viscoplastic Burgers equation -- A toy model for sea-ice dynamics | arXiv:2601.06489v1 Announce Type: new Abstract: We study the plastic Burgers equation in one space dimension, i.e., the Burgers equation featuring an additional term formally given by the p-Laplacian with p=1, or rather, by the multivalued subdifferential of the total variation functional. Our study highlights that the... | https://arxiv.org/abs/2601.06489 | Academic Papers | svg |
356a6388f11e1b75f00b24f019e5cb91bbf718916a716fd6f0d3b9f162f1a578 | 2026-01-13T00:00:00-05:00 | Shadowing, chain transitive sets with nonempty interior and attractor boundaries | arXiv:2601.06523v1 Announce Type: new Abstract: We examine certain phenomena in $C^1$-dynamics from a viewpoint of shadowing and improve a known result on hyperbolic sets. We also review a result on the stability of attractor boundaries from the same viewpoint and derive several additional results. | https://arxiv.org/abs/2601.06523 | Academic Papers | svg |
c929b6785575a951fcc5696bbe29068a16d7e0028323e0e26c3da96c09af784c | 2026-01-13T00:00:00-05:00 | Geometric structures arising from the deformation of groups of Heisenberg type | arXiv:2601.06526v1 Announce Type: new Abstract: Motivated by the desire of finding a geometric interpretation to the Yamabe equation on groups of Heisenberg type, we define a geometric structure on manifolds modelled locally on these groups, which we call contact structure of Heisenberg type. In the case of the Heisenb... | https://arxiv.org/abs/2601.06526 | Academic Papers | svg |
0166dabd6a4f01c6eae365e38d34c9682486dc72de493371e2920dddfebaa827 | 2026-01-13T00:00:00-05:00 | Hurwitz spaces and Inverse Galois Theory | arXiv:2601.06532v1 Announce Type: new Abstract: Hurwitz spaces which parametrize branched covers of the line play a prominent role in inverse Galois theory. This paper surveys fifty years of works in this direction with emphasis on recent advances. Based on the Riemann-Hurwitz theory of covers, the geometric and arithm... | https://arxiv.org/abs/2601.06532 | Academic Papers | svg |
46995461ccba623cb3181d04fd6ef105e461f0aab1c1611df4476b1f340a6c1e | 2026-01-13T00:00:00-05:00 | Exponential dichotomy and $(L^p,L^q)$-admissibility | arXiv:2601.06534v1 Announce Type: new Abstract: We consider the notion of an exponential dichotomy with respect to a family of norms for an evolutionary family in a Banach space, and we characterize it by the admissibility of the pair $(L^p,L^q)$ for $p,q \in [1,\infty]$ with $p\ge q$. We then use this characterization... | https://arxiv.org/abs/2601.06534 | Academic Papers | svg |
fd79f252f623a35cedbca3dfb1393a657ac2fa47d66f3b19d97602585cfc8fae | 2026-01-13T00:00:00-05:00 | Splitting of Liftings in Product Spaces II | arXiv:2601.06538v1 Announce Type: new Abstract: Let $(X, \mfA,P)$ and $(Y, \mfB,Q)$ be two probability spaces, $R$ be their skew product on the product $\sigma$-algebra $\mfA\otimes\mfB$ and $\{(\mfA_y,S_y)\colon y\in{Y}\}$ be a $Q$-disintegration of $R$. Then let $\mfA\dd\mfB$ be the $\sigma$-algebra generated $\mfA\o... | https://arxiv.org/abs/2601.06538 | Academic Papers | svg |
24d2782730fcb5fe1cd924b8bdc4f8aaaaa2ef0df40b1153c874e80fd2af6ec9 | 2026-01-13T00:00:00-05:00 | A generalization of $q$-deformation of graphic arrangements to simplicial complexes | arXiv:2601.06546v1 Announce Type: new Abstract: The purpose of this thesis is to introduce two new kinds of hyperplane arrangements, inspired by the graphic arrangements and $q$-deformations of graphic arrangements. In this thesis, the author extends the definition of $q$-deformation to simplicial complexes, with the c... | https://arxiv.org/abs/2601.06546 | Academic Papers | svg |
f5a06eedd7bd2bb0577e2ea9e6c197e0c3cc02315b7279c8bcaeafb936ea2935 | 2026-01-13T00:00:00-05:00 | Homology of degenerate real projective quadrics | arXiv:2601.06548v1 Announce Type: new Abstract: Homology of non degenerate real projective quadrics was studied by Steenrod and Tucker. We Compute the rational and the $\mathbb{Z}/2\mathbb{Z}$ homology of degenerate real projective quadrics. This allows to determine the integer homology of these quadrics. | https://arxiv.org/abs/2601.06548 | Academic Papers | svg |
3098557abc74a94e7ae8586670e7d3d06eac4005c481bd33fe129c31a913e506 | 2026-01-13T00:00:00-05:00 | Cone Conditions for the Curvature Operator of the Second Kind on Einstein Manifolds | arXiv:2601.06556v1 Announce Type: new Abstract: In this note, we study Einstein manifolds whose curvature operator of the second kind $\mathring{R}$ satisfies the cone condition \[ \alpha^{-1}\big(\sum_{i=1}^{[\alpha]} \lambda_i+ (\alpha - [\alpha] ) \lambda_{[\alpha] + 1} \big) \ge -\theta \bar{\lambda} \] for some re... | https://arxiv.org/abs/2601.06556 | Academic Papers | svg |
c7b25dfc3e3e1b2c270e5123206c3308aa27191c2a33f6e24353561b36f65ea4 | 2026-01-13T00:00:00-05:00 | Path Types in Algebraic Type Theory | arXiv:2601.06567v1 Announce Type: new Abstract: A new approach to the semantics of identity types in intensional Martin-L\"of type theory is proposed, assuming only a category with finite limits and an interval. The specification of \emph{extensional} identity types in the original presentation of natural models parall... | https://arxiv.org/abs/2601.06567 | Academic Papers | svg |
f7c21dd59eeaa040510420fe123c81423a7e53b2ebce04748566275ecb5143e6 | 2026-01-13T00:00:00-05:00 | Commutativity criteria for prime rings with involution via pairs of endomorphisms | arXiv:2601.06576v1 Announce Type: new Abstract: The aim of this article is to investigate central-valued identities involving pairs of endomorphisms on prime rings equipped with an involution of the second kind. Extending the recent contributions of Mir et al. (2020) and Boua et al. (2024), we establish several new com... | https://arxiv.org/abs/2601.06576 | Academic Papers | svg |
dee9c2e04f301ec3c6010392981d162230a898c74effd8722a1ea3a57fd66187 | 2026-01-13T00:00:00-05:00 | Quiver presentations for band algebras are defined over the integers | arXiv:2601.06587v1 Announce Type: new Abstract: A band is a semigroup in which each element is idempotent. In recent years, there has been a lot of activity on the representation theory of the subclass of left regular bands due to connections to Markov chains associated to hyperplane arrangements, oriented matroids, ma... | https://arxiv.org/abs/2601.06587 | Academic Papers | svg |
7de31075be580bd656b271af38a220e048cca2ca0087af0925f8c8dfc1529cab | 2026-01-13T00:00:00-05:00 | FlagAlgebraToolbox: Flag Algebra Computations in SageMath | arXiv:2601.06590v1 Announce Type: new Abstract: We introduce FlagAlgebraToolbox, an extension of SageMath capable of automating flag algebra calculations and optimizations. FlagAlgebraToolbox has a simple interface, can handle a wide range of combinatorial theories, can numerically optimize extremal combinatorial probl... | https://arxiv.org/abs/2601.06590 | Academic Papers | svg |
fc1f1005061d7a954a3a04b373ecaa67bd39d8be7c4d85b8a088c6077d4f6041 | 2026-01-13T00:00:00-05:00 | G\"odel-Dummett and $\mathsf{BD_2}$: Linearity and Depth-Two Branching in Kripke Semantics | arXiv:2601.06593v1 Announce Type: new Abstract: We study the semantic relationship between G\"odel-Dummett logic $\mathsf{GL}$ and bounded-depth-2 logic $\mathsf{BD_2}$, two well-known intermediate logics. While $\mathsf{GL}$ imposes linearity on Kripke frames, $\mathsf{BD_2}$ bounds their depth to two. We prove these ... | https://arxiv.org/abs/2601.06593 | Academic Papers | svg |
8ca87dd1ecd5507b2acc54e80fbdff3eba6f070585a44cd063b26f9a6fab116b | 2026-01-13T00:00:00-05:00 | Radial measures of pseudo-cones | arXiv:2601.06594v1 Announce Type: new Abstract: We consider $C$-pseudo-cones, that is, closed convex sets $K \subset{\mathbb R}^n$ with $o\notin K\subset C$, for which $C$ is the recession cone. Here $C$ is a given closed convex cone in ${\mathbb R}^n$, pointed and with nonempty interior. We define a class of measures ... | https://arxiv.org/abs/2601.06594 | Academic Papers | svg |
11f16fe54cd46b0b23d1f452c0b073d1587f91efbc85d2e047c98a47a5f9a8e4 | 2026-01-13T00:00:00-05:00 | Minimality of free-boundary axial hyperplanes in high dimensional circular cones via calibration | arXiv:2601.06601v1 Announce Type: new Abstract: Consider an $(n+1)$-dimensional circular cone. Using a calibration argument, we prove that if $n \geq 4$ and the aperture of the cone is sufficiently large, the intersection of the cone with an axial hyperplane is area-minimizing with respect to free-boundary variations i... | https://arxiv.org/abs/2601.06601 | Academic Papers | svg |
662e7a86dd0ed3e87b1ad0e0cf6fa4ff776c5c5fb0b4d8d70a45abf5cf788984 | 2026-01-13T00:00:00-05:00 | Families of Toeplitz operators, family index and deformation quantization | arXiv:2601.06619v1 Announce Type: new Abstract: Given a contact fibration, we construct smooth families of Szeg\"o projections on the fibers. This allows us to define smooth families of Toeplitz operators. We apply these operators to construct a deformation quantization of prequantizable symplectic fibrations, recoveri... | https://arxiv.org/abs/2601.06619 | Academic Papers | svg |
32309a0b7458a91af1adc37d8157cc4bcd1ffceb3c48648154226adf404132b0 | 2026-01-13T00:00:00-05:00 | Inexact DC Algorithms in Hilbert Spaces with Applications to PDE-Constrained Optimization | arXiv:2601.06622v1 Announce Type: new Abstract: In this paper, we design and apply novel inexact adaptive algorithms to deal with minimizing difference-of-convex (DC) functions in Hilbert spaces. We first introduce I-ADCA, an inexact adaptive counterpart of the well-recognized DCA (difference-of-convex algorithm), that... | https://arxiv.org/abs/2601.06622 | Academic Papers | svg |
5d27b9de2a09259c58ca41bf23dce0c8167d0ceab51ef341665f85a31b2b98d5 | 2026-01-13T00:00:00-05:00 | Necessary and sufficient condition for existence at resonance for eigenvalues of multiplicity two | arXiv:2601.06623v1 Announce Type: new Abstract: We establish necessary and sufficient condition for existence of solutions for a class of semilinear Dirichlet problems with the linear part at resonance at eigenvalues of multiplicity two. The result is applied to give a condition for unboundness of all solutions of the ... | https://arxiv.org/abs/2601.06623 | Academic Papers | svg |
a007f651bd0d1a6b7215ca4d1528d4dc0056b59f7a88f78a2f2edfc9eb4f4320 | 2026-01-13T00:00:00-05:00 | Khintchin conjecture and related topics | arXiv:2601.06626v1 Announce Type: new Abstract: Motivated by Khintchin's 1923 conjecture, refuted by Marstrand in 1970, we study the Khintchin class of functions associated to a given increasing sequence of integers. When the Khintchin class contains L^p(\mathbb{T}), we call the sequence a L^p-Khintchin sequence. We es... | https://arxiv.org/abs/2601.06626 | Academic Papers | svg |
9b08eb02a1918d5a82f02a55fae94fa55e39c2ad4fd81a21b06eaa157e5c2db1 | 2026-01-13T00:00:00-05:00 | Sharp Bohr-Rogosinski radii for Schwarz functions and Euler operators in C^n | arXiv:2601.06630v1 Announce Type: new Abstract: This paper is devoted to the investigation of multidimensional analogues of refined Bohr-type inequalities for bounded holomorphic mappings on the unit polydisc $\mathbb{D}^n$. We establish a sharp extension of the classical Bohr inequality, proving that the Bohr radius r... | https://arxiv.org/abs/2601.06630 | Academic Papers | svg |
eacf77e3694f162de9b9d0c4b6b16de1238b007f7d9520708e44d7f63151e8d1 | 2026-01-13T00:00:00-05:00 | Comminution as a Non-Hermitian Quantum Field Theory: Log-Size Jump Generators, Branching Embeddings, and the Airy Solvable Sector | arXiv:2601.06635v1 Announce Type: new Abstract: Pure-breakage population balance equations (PBEs) give the standard deterministic description of fragmentation and comminution. They predict mean particle size distributions, but they do not determine fluctuations, size-size correlations, or universality under coarse-grai... | https://arxiv.org/abs/2601.06635 | Academic Papers | svg |
e29685a50c7f69ce3c27c415b9b649f63972f0ec24298b316947867aec385e20 | 2026-01-13T00:00:00-05:00 | On Asymptotic Properties of Certain $B$-Splines in Terms of Theta-like Functions | arXiv:2601.06643v1 Announce Type: new Abstract: The asymptotic behavior of the Mellin transform of the associated $B$-splines $B_N^*(t) :=t^{-N}B_N(t)$ with special knots in terms of theta-like functions is found. The proof is based on polynomial interpolation of power functions and properties of certain theta-like fun... | https://arxiv.org/abs/2601.06643 | Academic Papers | svg |
6066e90d582507c815485a1739dfacc4414002e73b4a0494987f49f99471bd0a | 2026-01-13T00:00:00-05:00 | A finite-termination algorithm for testing copositivity over the positive semidefinite cone | arXiv:2601.06648v1 Announce Type: new Abstract: This paper proposes an efficient algorithm for testing copositivity of homogeneous polynomials over the positive semidefinite cone. The algorithm is based on a novel matrix optimization reformulation and requires solving a hierarchy of semidefinite programs. Notably, it a... | https://arxiv.org/abs/2601.06648 | Academic Papers | svg |
612fdb62985344cdc8a64080d597528a42b3ec98cd24b42032b9532dd4611121 | 2026-01-13T00:00:00-05:00 | Rational surgery exact triangles in Heegaard Floer homology | arXiv:2601.06654v1 Announce Type: new Abstract: We construct a new family of surgery exact triangles in Heegaard Floer theory over the field with two elements. This family generalizes both Ozsv\'{a}th and Szab\'{o}'s $n$- and $1/n$-surgery exact triangles for positive integers $n$ and the author's recent 2-surgery exac... | https://arxiv.org/abs/2601.06654 | Academic Papers | svg |
48e1f5cc8ec657e647d04157bf36d20ee2a6f73a30fc901203794b1eecbfdf4b | 2026-01-13T00:00:00-05:00 | Relative Invariants from Moving Frames on an Extended Manifold | arXiv:2601.06660v1 Announce Type: new Abstract: A constructive modification of the moving frame method is developed in this paper for the construction of relative invariants of regular Lie group actions. Let a relative invariant $I$ of weight $\omega$ transform according to the rule $$ I(g \cdot \boldsymbol x) = \mu(g,... | https://arxiv.org/abs/2601.06660 | Academic Papers | svg |
08661244470ef65001e4da5edf010deeacde5d9675fa566b5173d76204c0ad96 | 2026-01-13T00:00:00-05:00 | Reduction and classification of higher-order Markov chains for categorical data | arXiv:2601.06674v1 Announce Type: new Abstract: Categorical time series models are powerful tools for understanding natural phenomena. Most available models can be formulated as special cases of $m$-th order Markov chains, for $m\geq 1$. Despite their broad applicability, theoretical research has largely focused on fir... | https://arxiv.org/abs/2601.06674 | Academic Papers | svg |
c96c12bd8faf17781689af58601223cb1eecbae7dfb04216cf7357e03416ebac | 2026-01-13T00:00:00-05:00 | Comparing Two Notions of Coaction Invariance of Ideals in $\mathrm{C}^*$-Algebras | arXiv:2601.06679v1 Announce Type: new Abstract: Given a coaction $\delta$ of a locally compact group $G$ on a $\mathrm{C}^*$-algebra $A$, we study the relationship between two different forms of coaction invariance of ideals of $A$ and the ideals of the corresponding crossed product $\mathrm{C}^*$-algebra $A \rtimes_{\... | https://arxiv.org/abs/2601.06679 | Academic Papers | svg |
c209963c1735c49a5d99b2fef5711b2a837986b2f1dbad7897a49008da7a35e0 | 2026-01-13T00:00:00-05:00 | Amenability constants for unconditional sums of Banach algebras | arXiv:2601.06680v1 Announce Type: new Abstract: We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family $(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice $E$ on~$I$, the $E$-sum $\bigl(\bigoplus_{i\in I} A_i\bigr)_{\!E}$ carries a natural Banach algebra structure vi... | https://arxiv.org/abs/2601.06680 | Academic Papers | svg |
52b24038106eafdfd5752a21d298d4841e69def46933a62e536c23d09b76bfda | 2026-01-13T00:00:00-05:00 | Extinction and persistence criteria in non-local Klausmeier model of vegetation dynamics on flat landscapes | arXiv:2601.06681v1 Announce Type: new Abstract: This paper investigates the dynamics of vegetation patterns in water-limited ecosystems using a generalized Klausmeier model that incorporates non-local plant dispersal within a finite habitat. We establish the well-posedness of the system and provide a rigorous analysis ... | https://arxiv.org/abs/2601.06681 | Academic Papers | svg |
0d6de4887a8112c7b354c9dcb45e3660a909dfc17bd0f2b0c0d01ad1f0b55c3e | 2026-01-13T00:00:00-05:00 | Inverse problem for the divisor of the good Boussinesq equation | arXiv:2601.06683v1 Announce Type: new Abstract: A third-order operator with periodic coefficients is an L-operator in the Lax pair for the Boussinesq equation on a circle. The projection of the divisor of the Floquet solution poles for this operator coincides with the spectrum of the three-point Dirichlet problem. The ... | https://arxiv.org/abs/2601.06683 | Academic Papers | svg |
e3dcfc89192fa6954998699439d4427e62b0ab1a871d056c17d50f582a5c0e2b | 2026-01-13T00:00:00-05:00 | On De Concini-Kac forms of quantum groups | arXiv:2601.06696v1 Announce Type: new Abstract: Quantum groups of semisimple Lie algebras at roots of unity admit several different forms. Among them is the De Concini-Kac form, which is the easiest to define but, perhaps, hardest to study. In this paper, we propose a suitable modification to the De Concini-Kac form, n... | https://arxiv.org/abs/2601.06696 | Academic Papers | svg |
63472845d3e2cb17aa3b80bc87e46cce3a8d51943b0b3f40c0149b1ba78561a1 | 2026-01-13T00:00:00-05:00 | On a stochastic Cahn-Hilliard-Brinkman model | arXiv:2601.06698v1 Announce Type: new Abstract: In this paper, we consider a stochastic version of the Cahn-Hilliard-Brinkman model in a smooth two- or three-dimensional domain with dynamical boundary conditions. The system describes creeping two-phase flows and is basically a coupling of the Brinkman equation for the ... | https://arxiv.org/abs/2601.06698 | Academic Papers | svg |
4db4506523a4de65cbfdeb69bcfcf08cf09f3a792241c4608f6b274a536e8f8f | 2026-01-13T00:00:00-05:00 | Upper bound for the total mean curvature of spin fill-ins | arXiv:2601.06713v1 Announce Type: new Abstract: Gromov conjectured that the total mean curvature of the boundary of a compact Riemannian manifold can be estimated from above by a constant depending only on the boundary metric and on a lower bound for the scalar curvature of the fill-in. We prove Gromov's conjecture if ... | https://arxiv.org/abs/2601.06713 | Academic Papers | svg |
50e35a9d3c49f55d1721c2175e03f2a7ac58ffac07a14b7d9e721b565a3d3181 | 2026-01-13T00:00:00-05:00 | Reconfiguration of Hamiltonian Cycles in Rectangular Grid Graphs | arXiv:2601.06731v1 Announce Type: new Abstract: An \textit{\(m \times n\) grid graph} is the induced subgraph of the square lattice whose vertex set consists of all integer grid points \(\{(i,j) : 0 \leq i < m,\ 0 \leq j < n\}\). Let $H$ and $K$ be Hamiltonian cycles in an $m \times n$ grid graph $G$. We study the prob... | https://arxiv.org/abs/2601.06731 | Academic Papers | svg |
886d4835f562bc44959e0f102ba3078ff033ac90fb3f02552cc68e1bb0fa84a1 | 2026-01-13T00:00:00-05:00 | Probabilities of random monomial ideals associated to large graphs | arXiv:2601.06739v1 Announce Type: new Abstract: Inspired by the Erd\H{o}s R\'enyi model, we propose a new model for freesquare random monomial ideals generated by edges and covers of a graph. This permit us to investigate the conditions of normality for which we obtain asymptotic results. We also elaborate on asymptoti... | https://arxiv.org/abs/2601.06739 | Academic Papers | svg |
42bc47d61afe9341da149839be8ca7ededa839d63109058afe454cfabbf7145a | 2026-01-13T00:00:00-05:00 | Minimal reduction type in classical cases | arXiv:2601.06744v1 Announce Type: new Abstract: We prove Yun's minimal reduction conjecture for all classical groups. More precisely, for any topologically nilpotent regular semisimple element $\gamma$, we show that the associated minimal reduction set $\mathrm{RT}_{\mathrm{min}}(\gamma)$ consists of a single nilpotent... | https://arxiv.org/abs/2601.06744 | Academic Papers | svg |
17ff0d0bf4aaa3d168b713d035a10204425d60e6ec04e9b71b4a7d6ea724b407 | 2026-01-13T00:00:00-05:00 | Reconfiguration of Hamiltonian Paths and Cycles in Rectangular Grid Graphs | arXiv:2601.06749v1 Announce Type: new Abstract: \noindent An \textit{\(m \times n\) grid graph} is the induced subgraph of the square lattice whose vertex set consists of all integer grid points \(\{(i,j) : 0 \leq i < m,\ 0 \leq j < n\}\). Let $H$ and $K$ be Hamiltonian cycles in an $m \times n$ grid graph $G$. We stud... | https://arxiv.org/abs/2601.06749 | Academic Papers | svg |
9f465cf309b794408127b307bd3813696dffb823038f6fbd1ee75d5b87bf104e | 2026-01-13T00:00:00-05:00 | New Calabi-Yau Metrics of Taub-NUT Type on C^{N+1} | arXiv:2601.06756v1 Announce Type: new Abstract: We construct a class of complete non-flat Calabi-Yau metrics on C^{N+1} for every N >= 3, which generalize the Taub-NUT metrics from C^2 and C^3 and whose tangent cone at infinity is R^N. The construction relies on the generalized Gibbons-Hawking ansatz. A key obstacle is... | https://arxiv.org/abs/2601.06756 | Academic Papers | svg |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.