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ff5e69c27ecb25b3c3ce887aff0fb756df14134291473395d22cbc9d72833d21 | 2026-01-01T00:00:00-05:00 | Insights on the homogeneous $3$-local representations of the twin groups | arXiv:2512.24874v1 Announce Type: new Abstract: We provide a complete classification of the homogeneous $3$-local representations of the twin group $T_n$, the virtual twin group $VT_n$, and the welded twin group $WT_n$, for all $n\geq 4$. Beyond this classification, we examine the main characteristics of these represen... | https://arxiv.org/abs/2512.24874 | Academic Papers | svg |
3f707166663c6302047d1e101221c85d152d8108f0a2e8b5e0ec5fc1bd1d847f | 2026-01-01T00:00:00-05:00 | Totally compatible structures on the radical of an incidence algebra | arXiv:2512.24881v1 Announce Type: new Abstract: We describe totally compatible structures on the Jacobson radical of the incidence algebra of a finite poset over a field. We show that such structures are in general non-proper. | https://arxiv.org/abs/2512.24881 | Academic Papers | svg |
1f50a1b765a2747a79f9a5428f760dd3f6095437547d9900dc8440c68bc2896c | 2026-01-01T00:00:00-05:00 | Coherent span-valued 2D TQFTs | arXiv:2512.24887v1 Announce Type: new Abstract: We consider commutative Frobenius pseudomonoids in the bicategory of spans, and we show that they are in correspondence with 2-Segal cosymmetric sets. Such a structure can be interpreted as a coherent 2-dimensional topological quantum field theory taking values in the bic... | https://arxiv.org/abs/2512.24887 | Academic Papers | svg |
9d3ef7783a720fd7e77279913c6c30a8542ed731aaa66c3a236b67015776e90e | 2026-01-01T00:00:00-05:00 | Adaptive Clutter Suppression via Convex Optimization | arXiv:2512.24889v1 Announce Type: new Abstract: Passive and bistatic radar systems are often limited by strong clutter and direct-path interference that mask weak moving targets. Conventional cancellation methods such as the extensive cancellation algorithm require careful tuning and can distort the delay-Doppler respo... | https://arxiv.org/abs/2512.24889 | Academic Papers | svg |
8fc8471a5c7c245066b1b3b0fbf482a52bbd7c06e3a1a57e8b03546488a9aad5 | 2026-01-01T00:00:00-05:00 | Global boundedness and absorbing sets in two-dimensional chemotaxis-Navier-Stokes systems with weakly singular sensitivity and a sub-logistic source | arXiv:2512.24892v1 Announce Type: new Abstract: This paper studies the following chemotaxis-fluid system in a two-dimensional bounded domain $\Omega$: \begin{equation*} \begin{cases} n_t + u \cdot \nabla n &= \Delta n - \chi \nabla \cdot \left (n \frac{\nabla c}{c^k} \right ) + r n - \frac{\mu n^2}{\log^\eta(n+e)}, c_t... | https://arxiv.org/abs/2512.24892 | Academic Papers | svg |
a279df32891161287f69ad09b31f55628e9f0e6a660ed3c2aec5c43f478ac3de | 2026-01-01T00:00:00-05:00 | Self-Supervised Amortized Neural Operators for Optimal Control: Scaling Laws and Applications | arXiv:2512.24897v1 Announce Type: new Abstract: Optimal control provides a principled framework for transforming dynamical system models into intelligent decision-making, yet classical computational approaches are often too expensive for real-time deployment in dynamic or uncertain environments. In this work, we propos... | https://arxiv.org/abs/2512.24897 | Academic Papers | svg |
44cef96163407ccddec4545b8d242f811bdfd37d99b0ddf6bae65fd891bb31bf | 2026-01-01T00:00:00-05:00 | Anomalous cw-expansive homeomorphisms on compact surfaces of higher genus | arXiv:2512.24904v1 Announce Type: new Abstract: In this paper, we construct cw-expansive homeomorphisms on compact surfaces of genus greater than or equal to zero with a fixed point whose local stable set is connected but not locally connected. This provides an affirmative answer to question posed by Artigue [3]. To ac... | https://arxiv.org/abs/2512.24904 | Academic Papers | svg |
082091d6127087bd1b89f4db61744055c38eb9b9072d565989bce8eff286a4bb | 2026-01-01T00:00:00-05:00 | Polynomial $\chi$-boundedness for excluding $P_5$ | arXiv:2512.24907v1 Announce Type: new Abstract: We obtain some $d\ge2$ such that every graph $G$ with no induced copy of the five-vertex path $P_5$ has chromatic number at most $\omega(G)^d$, thereby resolving an open problem of Gy\'arf\'as from 1985. The proof consists of three main ingredients: $\bullet$ an analogue ... | https://arxiv.org/abs/2512.24907 | Academic Papers | svg |
29f27c1a5d6b068b467e9d08a1409ad1a3b6d4cf5608763bcd86a6ae63382ec6 | 2026-01-01T00:00:00-05:00 | A Liouville-Weierstrass correspondence for Spacelike and Timelike Minimal Surfaces in $\mathbb{L}^3$ | arXiv:2512.24908v1 Announce Type: new Abstract: We investigate a correspondence between solutions $\lambda(x,y)$ of the Liouville equation \[ \Delta \lambda = -\varepsilon e^{-4\lambda}, \] and the Weierstrass representations of spacelike ($\varepsilon = 1$) and timelike ($\varepsilon = -1$) minimal surfaces with diago... | https://arxiv.org/abs/2512.24908 | Academic Papers | svg |
8e5c8d96e664089693c850797c400b8f98ac1d0005fd8c9dd064b74e585f1ed5 | 2026-01-01T00:00:00-05:00 | Gibbs conditioning principle for log-concave independent random variables | arXiv:2512.24910v1 Announce Type: new Abstract: Let $\nu_1,\nu_2,\dots$ be a sequence of probabilities on the nonnegative integers, and $X=(X_1,X_2, \dots)$ be a sequence of independent random variables $X_i$ with law $\nu_i$. For $\lambda>0$ denote $Z^\lambda_i:= \sum_x \lambda^x\nu_i(x)$ and $\lambda^{\max}:= \sup\{\... | https://arxiv.org/abs/2512.24910 | Academic Papers | svg |
fdeed806eb7aad5e0083cb6c25a9aa008f8c15a079679f676ee1c447391ab929 | 2026-01-01T00:00:00-05:00 | The Lyapunov Exponents of Hyperbolic Measures for $C^1$ Vector Fields with Dominated Splitting | arXiv:2512.24911v1 Announce Type: new Abstract: In this paper, we prove that for every $C^1$ vector field preserving an ergodic hyperbolic invariant measure which is not supported on singularities, if the Oseledec splitting of the ergodic hyperbolic invariant measure is a dominated splitting, then the ergodic hyperboli... | https://arxiv.org/abs/2512.24911 | Academic Papers | svg |
4358f7f3c484d529c2431c06c23a13804f741bf70aa3e2919beed4b6e8af6f4e | 2026-01-01T00:00:00-05:00 | On Maps that Preserve the Lie Products Equal to Fixed Elements | arXiv:2512.24912v1 Announce Type: new Abstract: This work characterizes the general form of a bijective linear map $\Psi:\mathscr{M}_n(\mathbb{C}) \to \mathscr{M}_n(\mathbb{C})$ such that $[\Psi(A_1),~\Psi(A_2)]=D_2$ whenever $[A_1,~A_2]=D_1$ where $D_1~\text{and}~D_2$ are fixed matrices. Additionally, let $\mathscr{H}... | https://arxiv.org/abs/2512.24912 | Academic Papers | svg |
00d4fe5cf5138071e823ca241a21436fd866ccebd9704a73885761b460a1e463 | 2026-01-01T00:00:00-05:00 | On Diophantine exponents of lattices | arXiv:2512.24913v1 Announce Type: new Abstract: We describe the spectrum of ordinary Diophantine exponents for $d$-dimensional lattices. The result reduces the problem to two-dimensional case and uses argument of metric theory. | https://arxiv.org/abs/2512.24913 | Academic Papers | svg |
6110b81bc69688785001ad65f0a12a6245799f0fb8a6bc063b081b715cc1507f | 2026-01-01T00:00:00-05:00 | Existence, uniqueness, and approximability of solutions to the classical Melan equation in suspension bridges | arXiv:2512.24915v1 Announce Type: new Abstract: The classical Melan equation modeling suspension bridges is considered. We first study the explicit expression and the uniform positivity of the analytical solution for the simplified ``less stiff'' model, based on which we develop a monotone iterative technique of lower ... | https://arxiv.org/abs/2512.24915 | Academic Papers | svg |
93ba0492bbaac9188141bb35c6b4e933fd0f6f98759f494014a1b21de861ae46 | 2026-01-01T00:00:00-05:00 | A Pontryagin Maximum Principle on the Belief Space for Continuous-Time Optimal Control with Discrete Observations | arXiv:2512.24916v1 Announce Type: new Abstract: We study a continuous time stochastic optimal control problem under partial observations that are available only at discrete time instants. This hybrid setting, with continuous dynamics and intermittent noisy measurements, arises in applications ranging from robotic explo... | https://arxiv.org/abs/2512.24916 | Academic Papers | svg |
c83b6180e4e50d186cf3c8afba8b601bee660aa7e62e4c7d95b67836dd20d25c | 2026-01-01T00:00:00-05:00 | Property (T) and Poincar\'e duality in dimension three | arXiv:2512.24919v1 Announce Type: new Abstract: We use a recent result of Bader and Sauer on coboundary expansion to prove residually finite three-dimensional Poincar\'e duality groups never have property (T). This implies such groups are never K\"ahler. The argument applies to fundamental groups of (possibly non-asphe... | https://arxiv.org/abs/2512.24919 | Academic Papers | svg |
1feceb7f9d5b269db85986fd7da3428474c5eef9ad5c23ac25f77dc03c82e955 | 2026-01-01T00:00:00-05:00 | Transgression in the primitive cohomology | arXiv:2512.24920v1 Announce Type: new Abstract: We study the Chern-Weil theory for the primitive cohomology of a symplectic manifold. First, given a symplectic manifold, we review the superbundle-valued forms on this manifold and prove a primitive version of the Bianchi identity. Second, as the main result, we prove a ... | https://arxiv.org/abs/2512.24920 | Academic Papers | svg |
b745c429bf3c4ccaf0f6b462d38e8165cad8d08e0e59a022fc126a1f46eb8981 | 2026-01-01T00:00:00-05:00 | On a new filtration of the variational bicomplex | arXiv:2512.24931v1 Announce Type: new Abstract: We define a filtration on the variational bicomplex according to jet order. The filtration is preserved by the interior Euler operator, which is not a module homomorphism with respect to the ring of smooth functions on the jet space. However, the induced maps on the grade... | https://arxiv.org/abs/2512.24931 | Academic Papers | svg |
3a66bb8f0ff5a70faab84eff6575574c7275e5b692066dcd7ce206a80e5f203d | 2026-01-01T00:00:00-05:00 | Generalised Hermite-Einstein Fibre Metrics and Slope Stability for Holomorphic Vector Bundles | arXiv:2512.24932v1 Announce Type: new Abstract: Let $X$ be a compact complex manifold of dimension $n$ and let $m$ be a positive integer with $m\leq n$. Assume that $X$ admits a K\"ahler metric $\omega$ and a weakly positive, $\partial\bar\partial$-closed, smooth $(n-m,\,n-m)$-form $\Omega$. We introduce the notions of... | https://arxiv.org/abs/2512.24932 | Academic Papers | svg |
19a4fee00fcc63e8f6358d26bcb57385d488b828337964f4dad6771dc1144cb5 | 2026-01-01T00:00:00-05:00 | Green's function on the Tate curve | arXiv:2512.24935v1 Announce Type: new Abstract: Motivated by the question of defining a $p$-adic string worldsheet action in genus one, we define a Laplacian operator on the Tate curve, and study its Green's function. We show that the Green's function exists. We provide an explicit formula for the Green's function, whi... | https://arxiv.org/abs/2512.24935 | Academic Papers | svg |
1e7c208b8d7b6974e5c9b0b1b141b493b23d6846ca4a3ec24f93e578c6397865 | 2026-01-01T00:00:00-05:00 | Data-Driven Spectral Analysis Through Pseudo-Resolvent Koopman Operator in Dynamical Systems | arXiv:2512.24953v1 Announce Type: new Abstract: We present a data-driven method for spectral analysis of the Koopman operator based on direct construction of the pseudo-resolvent from time-series data. Finite-dimensional approximation of the Koopman operator, such as those obtained from Extended Dynamic Mode Decomposit... | https://arxiv.org/abs/2512.24953 | Academic Papers | svg |
816530fe3d4e43a42501fbe31392031eba48a84575b8cf2bdfc2b5bc57ef60c0 | 2026-01-01T00:00:00-05:00 | Numerical study of solitary waves in Dirac--Klein--Gordon system | arXiv:2512.24954v1 Announce Type: new Abstract: We use numerics to construct solitary waves in Dirac--Klein--Gordon (in one and three spatial dimensions) and study the dependence of energy and charge on $\omega$. For the construction, we use the iterative procedure, starting from solitary waves of nonlinear Dirac equat... | https://arxiv.org/abs/2512.24954 | Academic Papers | svg |
8912586da8fa204810a2aad5b1aadf169f15c6e9be06f15fc531d6918925ec53 | 2026-01-01T00:00:00-05:00 | The least prime with a given cycle type | arXiv:2512.24963v1 Announce Type: new Abstract: Let $G$ be a finite group. Let $K/k$ be a Galois extension of number fields with Galois group isomorphic to $G$, and let $C \subseteq \mathrm{Gal}(K/k) \simeq G$ be a conjugacy invariant subset. It is well known that there exists an unramified prime ideal $\mathfrak{p}$ o... | https://arxiv.org/abs/2512.24963 | Academic Papers | svg |
57c6a01f9421c4cf7df7966d5c69a0813b2877250cb3ef2dc2ffb5772a0200cd | 2026-01-01T00:00:00-05:00 | Cartier duality for gerbes of vector bundles | arXiv:2512.24967v1 Announce Type: new Abstract: We prove a Cartier duality for gerbes of algebraic and analytic vector bundles as an anti-equivalence of Hopf algebras in the category of kernels of analytic stacks. As an application, we prove that the category of solid quasi-coherent sheaves on the Hodge-Tate stack of a... | https://arxiv.org/abs/2512.24967 | Academic Papers | svg |
b2a541d4da58489d6c689ac2736ce2c8d46c4f143b8c6207c5ad2847d57faab6 | 2026-01-01T00:00:00-05:00 | From Complex-Analytic Models to Sparse Domination: A Dyadic Approach of Hypersingular Operators via Bourgain's Interpolation Method | arXiv:2512.24972v1 Announce Type: new Abstract: Motivated by the work of Cheng--Fang--Wang--Yu on the hypersingular Bergman projection, we develop a real-variable and dyadic framework for hypersingular operators in regimes where strong-type estimates fail at the critical line. The main new input is a hypersingular spar... | https://arxiv.org/abs/2512.24972 | Academic Papers | svg |
ae6328935b8fb23a8e006018dc620cc62e688647402831961f36c6c2e21738e4 | 2026-01-01T00:00:00-05:00 | A guide to the $2$-generated axial algebras of Monster type | arXiv:2512.24987v1 Announce Type: new Abstract: Axial algebras of Monster type are a class of non-associative algebras which generalise the Griess algebra, whose automorphism group is the largest sporadic simple group, the Monster. The $2$-generated algebras, which are the building blocks from which all algebras in thi... | https://arxiv.org/abs/2512.24987 | Academic Papers | svg |
516e7ea82088fcb34ea9b63e0cf5ed310fdcc107bc921d63af39d82109515c87 | 2026-01-01T00:00:00-05:00 | The Fourier extension conjecture for the paraboloid | arXiv:2512.24990v1 Announce Type: new Abstract: We give a proof of Fourier extension conjecture on the paraboloid in all dimensions bigger than 2 that begins with a decomposition suggested in Sawyer [Saw8] of writing a smooth Alpert projection as a sum of pieces whose Fourier extensions are localized. This is then used... | https://arxiv.org/abs/2512.24990 | Academic Papers | svg |
d00bcc01f560a1bb5b34381244e3bc3d9d8eddf50bfeb7f15531299901b0dd19 | 2026-01-01T00:00:00-05:00 | Manifold classification from the descriptive viewpoint | arXiv:2512.24996v1 Announce Type: new Abstract: We consider classification problems for manifolds and discrete subgroups of Lie groups from a descriptive set-theoretic point of view. This work is largely foundational in conception and character, recording both a framework for general study and Borel complexity computat... | https://arxiv.org/abs/2512.24996 | Academic Papers | svg |
1fd97f9622dd2f4a54c0a78167c8f448b6095fe9122df92a57a5fa2d1c575463 | 2026-01-01T00:00:00-05:00 | The local limit of weighted spanning trees on balanced networks | arXiv:2512.25001v1 Announce Type: new Abstract: We prove that the local limit of the weighted spanning trees on any simple connected high degree almost regular sequence of electric networks is the Poisson(1) branching process conditioned to survive forever, by generalizing [NP22] and closing a gap in their proof. We al... | https://arxiv.org/abs/2512.25001 | Academic Papers | svg |
33389be22b1848332e966b792a789b3e4eda336777d541921dde5c8884c4b793 | 2026-01-01T00:00:00-05:00 | Uniqueness for stochastic differential equations in Hilbert spaces with irregular drift | arXiv:2512.25003v1 Announce Type: new Abstract: We present a versatile framework to study strong existence and uniqueness for stochastic differential equations (SDEs) in Hilbert spaces with irregular drift. We consider an SDE in a separable Hilbert space $H$ \begin{equation*} dX_t= (A X_t + b(X_t))dt +(-A)^{-\gamma/2}d... | https://arxiv.org/abs/2512.25003 | Academic Papers | svg |
660bbb1a0da55f6d563b1ec51978f2704ee19b4f651d50de745526fd6bf77ac2 | 2026-01-01T00:00:00-05:00 | Limit Theorems for Fixed Point Biased Pattern Avoiding Involutions | arXiv:2512.25006v1 Announce Type: new Abstract: We study fixed point biased involutions that avoid a pattern. For every pattern of length three we obtain limit theorems for the asymptotic distribution of the (appropriately centered and scaled) number of fixed points of a random fixed point biased involution avoiding th... | https://arxiv.org/abs/2512.25006 | Academic Papers | svg |
e5eb0c5b33ed087c3f9cada765938533ac3ff7686e280ea2f6720bc0688d67d9 | 2026-01-01T00:00:00-05:00 | The splitting field and generators of the elliptic surface $Y^2=X^3 +t^{360} +1$ | arXiv:2512.25009v1 Announce Type: new Abstract: The splitting field of an elliptic surface $\mathcal{E}/\mathbb{Q}(t)$ is the smallest finite extension $\mathcal{K} \subset \mathbb{C}$ such that all $\mathbb{C}(t)$-rational points are defined over $\mathcal{K}(t)$. In this paper, we provide a symbolic algorithmic appro... | https://arxiv.org/abs/2512.25009 | Academic Papers | svg |
0505c4c96533faf8474f46a527e7f3ff1793f42f7fd40c2c3b062d130a4e1c8c | 2026-01-01T00:00:00-05:00 | Bounding regularity of $\mathrm{VI}^m$-modules | arXiv:2512.25010v1 Announce Type: new Abstract: Fix a finite field $\mathbb{F}$. Let $\mathrm{VI}$ be a skeleton of the category of finite dimensional $\mathbb{F}$-vector spaces and injective $\mathbb{F}$-linear maps. We study $\mathrm{VI}^m$-modules over a noetherian commutative ring in the nondescribing characteristi... | https://arxiv.org/abs/2512.25010 | Academic Papers | svg |
816ade7a9ab7b83b1d3baaf7bf5f14d2489dd9efbd98d9461ffc1a56bf95d963 | 2026-01-01T00:00:00-05:00 | A note on semistable unitary operators on $L^2(\mathbb{R})$ | arXiv:2512.25013v1 Announce Type: new Abstract: In this note, we present a characterization of semistable unitary operators on $L^2(\mathbb{R})$, under the assumption that the operator is (i) translation-invariant, (ii) symmetric, and (iii) locally uniformly continuous (LUC) under dilation. As a consequence, we charact... | https://arxiv.org/abs/2512.25013 | Academic Papers | svg |
62e2efcb58f56cff23f19e74b240c451b7703bf97f3498c7b6e0a0e28c35571a | 2026-01-01T00:00:00-05:00 | Strengthening Dual Bounds for Multicommodity Capacitated Network Design with Unsplittable Flow Constraints | arXiv:2512.25018v1 Announce Type: new Abstract: Multicommodity capacitated network design (MCND) models can be used to optimize the consolidation of shipments within e-commerce fulfillment networks. In practice, fulfillment networks require that shipments with the same origin and destination follow the same transfer pa... | https://arxiv.org/abs/2512.25018 | Academic Papers | svg |
37830ac65c02db5db21c9369dd1d9334860e243b6d963d10a4f22fa7465eefac | 2026-01-01T00:00:00-05:00 | Real Riemann Surfaces: Smooth and Discrete | arXiv:2512.25022v1 Announce Type: new Abstract: This paper develops a discrete theory of real Riemann surfaces based on quadrilateral cellular decompositions (quad-graphs) and a linear discretization of the Cauchy-Riemann equations. We construct a discrete analogue of an antiholomorphic involution and classify the topo... | https://arxiv.org/abs/2512.25022 | Academic Papers | svg |
59ffba010bed7f7b73512aeaf5854e3c044f39ed3c73e8ca0c5d6fd31752ccce | 2026-01-01T00:00:00-05:00 | Mod $p$ Poincar\'e duality for $p$-adic period domains | arXiv:2512.25029v1 Announce Type: new Abstract: In this article, we introduce a new class of smooth partially proper rigid analytic varieties over a $p$-adic field that satisfy Poincar\'e duality for \'etale cohomology with mod $p$-coefficients : the varieties satisfying "primitive comparison with compact support". We ... | https://arxiv.org/abs/2512.25029 | Academic Papers | svg |
709b5b68cb22072ce2858090631760d82bd674c19bd3caafc6f7e2a1452c28ee | 2026-01-01T00:00:00-05:00 | Multivariate Generalized Counting Process via Gamma Subordination | arXiv:2512.25030v1 Announce Type: new Abstract: In this paper, we study a multivariate gamma subordinator whose components are independent gamma processes subject to a random time governed by an independent negative binomial process. We derive the explicit expressions for its joint Laplace-Stieltjes transform, its prob... | https://arxiv.org/abs/2512.25030 | Academic Papers | svg |
ebb5c89f927d79384dd3b424b5332d36b04ec564c7112441ce03e0564007f75c | 2026-01-01T00:00:00-05:00 | Universal polar dual pairs of spherical codes found in $E_8$ and $\Lambda_{24}$ | arXiv:2512.25037v1 Announce Type: new Abstract: We identify universal polar dual pairs of spherical codes $C$ and $D$ such that for a large class of potential functions $h$ the minima of the discrete $h$-potential of $C$ on the sphere occur at the points of $D$ and vice versa. Moreover, the minimal values of their norm... | https://arxiv.org/abs/2512.25037 | Academic Papers | svg |
5dad628f6580d2d6df2d30f216c8c77128a02404f498de75eeeca07ac5ee0b1e | 2026-01-01T00:00:00-05:00 | The Hochschild homology of a noncommutative symmetric quotient stack | arXiv:2512.25039v1 Announce Type: new Abstract: We prove an orbifold type decomposition theorem for the Hochschild homology of the symmetric powers of a small DG category $\mathcal{A}$. In noncommutative geometry, these can be viewed as the noncommutative symmetric quotient stacks of $\mathcal{A}$. We use this decompos... | https://arxiv.org/abs/2512.25039 | Academic Papers | svg |
18181120d0527ead9a9c98e4c90a28e7938eacb21ab7f32d5ea468e61371b587 | 2026-01-01T00:00:00-05:00 | On exact Observability for Compactly perturbed infinite dimension system | arXiv:2512.25041v1 Announce Type: new Abstract: In this paper, we study the observability of compactly perturbed infinite dimensional systems. Assuming that a given infinite-dimensional system with self-adjoint generator is exactly observable we derive sufficient conditions on a compact self adjoint perturbation to gua... | https://arxiv.org/abs/2512.25041 | Academic Papers | svg |
f56dbc8b1da7d439eefcd1bb14b0f3082e05c23caf3132cf4a407796def125b5 | 2026-01-01T00:00:00-05:00 | The PDE-ODI principle and cylindrical mean curvature flows | arXiv:2512.25050v1 Announce Type: new Abstract: We introduce a new approach for analyzing ancient solutions and singularities of mean curvature flow that are locally modeled on a cylinder. Its key ingredient is a general mechanism, called the \emph{PDE--ODI principle}, which converts a broad class of parabolic differen... | https://arxiv.org/abs/2512.25050 | Academic Papers | svg |
8d4fd795650bd126f1d3054a068a2c36869721d81e0a72ed535deb00f546bd1d | 2026-01-01T00:00:00-05:00 | Bilinear tau forms of quantum Painlev\'e equations and $\mathbb{C}^2/\mathbb{Z}_2$ blowup relations in SUSY gauge theories | arXiv:2512.25051v1 Announce Type: new Abstract: We derive bilinear tau forms of the canonically quantized Painlev\'e equations, thereby relating them to those previously obtained from the $\mathbb{C}^2/\mathbb{Z}_2$ blowup relations for the $\mathcal{N}=2$ supersymmetric gauge theory partition functions on a general $\... | https://arxiv.org/abs/2512.25051 | Academic Papers | svg |
7f5603a21743cfe5aaf60c436c0711363a998b82edc539a19977324c2416c7a6 | 2026-01-01T00:00:00-05:00 | The variety of orthogonal frames | arXiv:2512.25058v1 Announce Type: new Abstract: An orthogonal n-frame is an ordered set of n pairwise orthogonal vectors. The set of all orthogonal n-frames in a d-dimensional quadratic vector space is an algebraic variety V(d,n). In this paper, we investigate the variety V(d,n) as well as the quadratic ideal I(d,n) ge... | https://arxiv.org/abs/2512.25058 | Academic Papers | svg |
1338c3d5c50897528d116827b66a263a263bd2a7f2d15f8faf3619455c230f5b | 2026-01-01T00:00:00-05:00 | Overflow-Avoiding Memory AMP | arXiv:2407.03898v1 Announce Type: cross Abstract: Approximate Message Passing (AMP) type algorithms are widely used for signal recovery in high-dimensional noisy linear systems. Recently, a principle called Memory AMP (MAMP) was proposed. Leveraging this principle, the gradient descent MAMP (GD-MAMP) algorithm was desi... | https://arxiv.org/abs/2407.03898 | Academic Papers | svg |
c2cde6b4787258144fd4293bd2ce3e2fc782d6419713643195d276ab0056e848 | 2026-01-01T00:00:00-05:00 | A Course in Ring Theory | arXiv:2512.22133v1 Announce Type: cross Abstract: An introductory textbook on ring theory, including ideals and homomorphisms, Euclidean domains, PIDs, and UFDs, with examples and exercises. | https://arxiv.org/abs/2512.22133 | Academic Papers | svg |
46567e6894cfd1c9cc4cd8ab210eb7c547d9aeae1be0a29a54eeb6168e9fc1f2 | 2026-01-01T00:00:00-05:00 | Hawksmoor's Ceiling, Mercator's Projection and the Roman Pantheon | arXiv:2512.22327v1 Announce Type: cross Abstract: The ceiling of the Buttery in All Souls College, Oxford, designed by the English Baroque architect Nicholas Hawksmoor, has a vaulted form on an oval base. It is coffered with an array of approximately square sunken lacunaria, whose sizes and positions vary so as to acco... | https://arxiv.org/abs/2512.22327 | Academic Papers | svg |
e17f20ff282cbd075400c6e00bf52b6b94c08193b84beb9663d1139d87aa26ac | 2026-01-01T00:00:00-05:00 | Machine Learning Invariants of Tensors | arXiv:2512.23750v1 Announce Type: cross Abstract: We propose a data-driven approach to identifying the functionally independent invariants that can be constructed from a tensor with a given symmetry structure. Our algorithm proceeds by first enumerating graphs, or tensor networks, that represent inequivalent contractio... | https://arxiv.org/abs/2512.23750 | Academic Papers | svg |
5a0600e568e94532d94b948406a887765c0e2364cadeab395c3653204d683b3f | 2026-01-01T00:00:00-05:00 | Marked point processes intensity estimation using sparse group Lasso method applied to locations of lucrative and cooperative banks in mainland France | arXiv:2512.23772v1 Announce Type: cross Abstract: In this paper, we model the locations of five major banks in mainland France, two lucrative and three cooperative institutions based on socio-economic considerations. Locations of banks are collected using web scrapping and constitute a bivariate spatial point process f... | https://arxiv.org/abs/2512.23772 | Academic Papers | svg |
53e342f2aad4be9c875152e037ef1309811f58b5b7ac8e8743fb438b0be78a80 | 2026-01-01T00:00:00-05:00 | 5D AGT conjecture for circular quivers | arXiv:2512.23878v1 Announce Type: cross Abstract: The best way to represent generic conformal blocks is provided by the free-field formalism, where they acquire a form of multiple Dotsenko-Fateev-like integrals of the screening operators. Degenerate conformal blocks can be described by the same integrals with special c... | https://arxiv.org/abs/2512.23878 | Academic Papers | svg |
7d5c9741a256ae697e6270782de2ac26fde659ebf7f149ce1e68c7e90efb5167 | 2026-01-01T00:00:00-05:00 | Kinks in composite scalar field theories | arXiv:2512.23890v1 Announce Type: cross Abstract: In this work, families of kinks are analytically identified in multifield theories with either polynomial or deformed sine-Gordon-type potentials. The underlying procedure not only allows us to obtain analytical solutions for these models, but also provides a framework ... | https://arxiv.org/abs/2512.23890 | Academic Papers | svg |
a05fa1ec42b3a0a01f4448f99f7f3242b77c481b68bef82123a7016713a40d61 | 2026-01-01T00:00:00-05:00 | Coulomb Branches of Noncotangent Type: a Physics Perspective | arXiv:2512.23908v1 Announce Type: cross Abstract: We study the Coulomb-branch sector of 3D $\mathcal{N}=4$ gauge theories with half-hypermultiplets in general pseudoreal representations $\mathbf{R}$ ("noncotangent" theories). This yields (short) quantization of the Coulomb branch and correlators of the Coulomb branch o... | https://arxiv.org/abs/2512.23908 | Academic Papers | svg |
1d36923a3d5160d14b601b7c800784ac4ac439a0f75b50bc58d654572c7cf04f | 2026-01-01T00:00:00-05:00 | Completing and studentising Spearman's correlation in the presence of ties | arXiv:2512.23993v1 Announce Type: cross Abstract: Non-parametric correlation coefficients have been widely used for analysing arbitrary random variables upon common populations, when requiring an explicit error distribution to be known is an unacceptable assumption. We examine an \(\ell_{2}\) representation of a correl... | https://arxiv.org/abs/2512.23993 | Academic Papers | svg |
8bcb7b92a49f9a15c846f8b83750e2302643cd9039d47425f71250c33931c8ce | 2026-01-01T00:00:00-05:00 | An exact unbiased semi-parametric maximum quasi-likelihood framework which is complete in the presence of ties | arXiv:2512.24009v1 Announce Type: cross Abstract: This paper introduces a novel quasi-likelihood extension of the generalised Kendall \(\tau_{a}\) estimator, together with an extension of the Kemeny metric and its associated covariance and correlation forms. The central contribution is to show that the U-statistic stru... | https://arxiv.org/abs/2512.24009 | Academic Papers | svg |
dfeaef8b955ae8c4e922b748acfe17006dbd3eacfe9ec09bebe1781c7a6db895 | 2026-01-01T00:00:00-05:00 | Solving the initial value problem for cellular automata by pattern decomposition | arXiv:2512.24337v1 Announce Type: cross Abstract: For many cellular automata, it is possible to express the state of a given cell after $n$ iterations as an explicit function of the initial configuration. We say that for such rules the solution of the initial value problem can be obtained. In some cases, one can constr... | https://arxiv.org/abs/2512.24337 | Academic Papers | svg |
7a597500cb5532cc172d00eab51c5932ade8195d493d6e0a6c45b6d4a181c81f | 2026-01-01T00:00:00-05:00 | Relativistic Lindblad description of the electron's radiative dynamics | arXiv:2512.24341v1 Announce Type: cross Abstract: An effective model for describing the relativistic quantum dynamics of a radiating electron is developed via a relativistic generalization of the Lindblad master equation. By incorporating both radiation reaction and vacuum fluctuations into the Dirac equation within an... | https://arxiv.org/abs/2512.24341 | Academic Papers | svg |
22a6f3fbdf569cc58df77b91e48b0c8682ea2b0ac030089071525dfd3f26365d | 2026-01-01T00:00:00-05:00 | Les Houches Lectures Notes on Tensor Networks | arXiv:2512.24390v1 Announce Type: cross Abstract: Tensor networks provide a powerful new framework for classifying and simulating correlated and topological phases of quantum matter. Their central premise is that strongly correlated matter can only be understood by studying the underlying entanglement structure and its... | https://arxiv.org/abs/2512.24390 | Academic Papers | svg |
ba43890edaf21bb11939d10574f7dbff0b2501345b2e5b6c4b6c77097906aa5e | 2026-01-01T00:00:00-05:00 | Exact finite mixture representations for species sampling processes | arXiv:2512.24414v1 Announce Type: cross Abstract: Random probability measures, together with their constructions, representations, and associated algorithms, play a central role in modern Bayesian inference. A key class is that of proper species sampling processes, which offer a relatively simple yet versatile framewor... | https://arxiv.org/abs/2512.24414 | Academic Papers | svg |
55ad2829c207068855120d2cb4b1e880fbebf36de44a5dd9b146f8c8171618bf | 2026-01-01T00:00:00-05:00 | Generalized Level-Rank Duality, Holomorphic Conformal Field Theory, and Non-Invertible Anyon Condensation | arXiv:2512.24419v1 Announce Type: cross Abstract: We study the interplay between holomorphic conformal field theory and dualities of 3D topological quantum field theories generalizing the paradigm of level-rank duality. A holomorphic conformal field theory with a Kac-Moody subalgebra implies a topological interface bet... | https://arxiv.org/abs/2512.24419 | Academic Papers | svg |
1872d6132d7cd5ab4c825ab72c6eb96360e4831550d32c66f4e56994c86fb254 | 2026-01-01T00:00:00-05:00 | Multidimensional derivative-free optimization. A case study on minimization of Hartree-Fock-Roothaan energy functionals | arXiv:2512.24509v1 Announce Type: cross Abstract: This study presents an evaluation of derivative-free optimization algorithms for the direct minimization of Hartree-Fock-Roothaan energy functionals involving nonlinear orbital parameters and quantum numbers with noninteger order. The analysis focuses on atomic calculat... | https://arxiv.org/abs/2512.24509 | Academic Papers | svg |
0ffd22d62cd928a1af1804641318eef9e9a170e06e67dc8e7bec2bd0bb213fed | 2026-01-01T00:00:00-05:00 | ${\cal N}=8$ supersymmetric mechanics with spin variables from indecomposable multiplets | arXiv:2512.24692v1 Announce Type: cross Abstract: We define two new indecomposable (not fully reducible) ${\cal N}=8$, $d=1$ off-shell multiplets and consider the corresponding models of ${\cal N}=8$ supersymmetric mechanics with spin variables. Each multiplet is described off shell by a scalar superfield which is a no... | https://arxiv.org/abs/2512.24692 | Academic Papers | svg |
dca0ff08aabf4bd6db475bc5427b75e8c7e04d4180e9a3aea397395072903467 | 2026-01-01T00:00:00-05:00 | Fragile Topological Phases and Topological Order of 2D Crystalline Chern Insulators | arXiv:2512.24709v1 Announce Type: cross Abstract: We apply methods of equivariant homotopy theory, which may not previously have found due attention in condensed matter physics, to classify first the fragile/unstable topological phases of 2D crystalline Chern insulator materials, and second the possible topological ord... | https://arxiv.org/abs/2512.24709 | Academic Papers | svg |
3f926f1c0eff770752fb40383d1262c3936947e0bae7823bce0eb57f53251cff | 2026-01-01T00:00:00-05:00 | T-duality for toric manifolds in $\mathcal{N}=(2, 2)$ superspace | arXiv:2512.24726v1 Announce Type: cross Abstract: We study the situation when the T-dual of a toric K\"ahler geometry is a generalized K\"ahler geometry involving semi-chiral fields. We explain that this situation is generic for polycylinders, tori and related geometries. Gauging multiple isometries in this case requir... | https://arxiv.org/abs/2512.24726 | Academic Papers | svg |
9e7eaeaf49abc180a32739ccb1f2b6d52295a571946ccdd64f881b01e9437b74 | 2026-01-01T00:00:00-05:00 | Twisted Cherednik systems and non-symmetric Macdonald polynomials | arXiv:2512.24811v1 Announce Type: cross Abstract: We consider eigenfunctions of many-body system Hamiltonians associated with generalized (a-twisted) Cherednik operators used in construction of other Hamiltonians: those arising from commutative subalgebras of the Ding-Iohara-Miki (DIM) algebra. The simplest example of ... | https://arxiv.org/abs/2512.24811 | Academic Papers | svg |
a9d76ffe1d5a15c19eccf19e233d92092da9896d449e93648a0c902bf29103b7 | 2026-01-01T00:00:00-05:00 | Classical integrability in 2D and asymptotic symmetries | arXiv:2512.24833v1 Announce Type: cross Abstract: These lecture notes are a contribution to the proceedings of the school "Geometric, Algebraic and Topological Methods for Quantum Field Theory", held in Villa de Leyva, Colombia, from 31st of July to 9th of August 2023. Its intention is to put together several basic too... | https://arxiv.org/abs/2512.24833 | Academic Papers | svg |
bf9163f660128f746a2c0f91f988ece300113d3bf9252784e43c1d59d3ee3d3e | 2026-01-01T00:00:00-05:00 | Stochastic factors can matter: improving robust growth under ergodicity | arXiv:2512.24906v1 Announce Type: cross Abstract: Drifts of asset returns are notoriously difficult to model accurately and, yet, trading strategies obtained from portfolio optimization are very sensitive to them. To mitigate this well-known phenomenon we study robust growth-optimization in a high-dimensional incomplet... | https://arxiv.org/abs/2512.24906 | Academic Papers | svg |
e4e2a01a9f342a8b0f8b03e6d7f0cf94ab4ead775515567e7d14b7cb68ffe6d6 | 2026-01-01T00:00:00-05:00 | Dynamic response phenotypes and model discrimination in systems and synthetic biology | arXiv:2512.24945v1 Announce Type: cross Abstract: Biological systems encode function not primarily in steady states, but in the structure of transient responses elicited by time-varying stimuli. Overshoots, biphasic dynamics, adaptation kinetics, fold-change detection, entrainment, and cumulative exposure effects often... | https://arxiv.org/abs/2512.24945 | Academic Papers | svg |
b2fbda4ce91c13a54e162b298ea649827e52d19fbf2964f266a60657712861fd | 2026-01-01T00:00:00-05:00 | Wall crossing, string networks and quantum toroidal algebras | arXiv:2512.24988v1 Announce Type: cross Abstract: We investigate BPS states in 4d N=4 supersymmetric Yang-Mills theory and the corresponding (p, q) string networks in Type IIB string theory. We propose a new interpretation of the algebra of line operators in this theory as a tensor product of vector representations of ... | https://arxiv.org/abs/2512.24988 | Academic Papers | svg |
a014ba40d2a554cebd8b9b38a585b25f5092a081a8dcd9735993d9d3675a562d | 2026-01-01T00:00:00-05:00 | Grassmannian Geometries for Non-Planar On-Shell Diagrams | arXiv:2512.25005v1 Announce Type: cross Abstract: On-shell diagrams are gauge invariant quantities which play an important role in the description of scattering amplitudes. Based on the principles of generalized unitarity, they are given by products of elementary three-point amplitudes where the kinematics of internal ... | https://arxiv.org/abs/2512.25005 | Academic Papers | svg |
fd9832965a61e61aa9ec553400c333e68ff03d1ded23cae8a7f833ef93ca9e90 | 2026-01-01T00:00:00-05:00 | Modewise Additive Factor Model for Matrix Time Series | arXiv:2512.25025v1 Announce Type: cross Abstract: We introduce a Modewise Additive Factor Model (MAFM) for matrix-valued time series that captures row-specific and column-specific latent effects through an additive structure, offering greater flexibility than multiplicative frameworks such as Tucker and CP factor model... | https://arxiv.org/abs/2512.25025 | Academic Papers | svg |
a5a84d17e01f6a83a3f29557ceacddd5f1f6fb45197bfaf95c69489cf531dcc5 | 2026-01-01T00:00:00-05:00 | Testing Monotonicity in a Finite Population | arXiv:2512.25032v1 Announce Type: cross Abstract: We consider the extent to which we can learn from a completely randomized experiment whether everyone has treatment effects that are weakly of the same sign, a condition we call monotonicity. From a classical sampling perspective, it is well-known that monotonicity is u... | https://arxiv.org/abs/2512.25032 | Academic Papers | svg |
7038ad80f4ab38726d49b8973ac75d5da4ce08ff8343f16827129ef921b7e58b | 2026-01-01T00:00:00-05:00 | Compound Estimation for Binomials | arXiv:2512.25042v1 Announce Type: cross Abstract: Many applications involve estimating the mean of multiple binomial outcomes as a common problem -- assessing intergenerational mobility of census tracts, estimating prevalence of infectious diseases across countries, and measuring click-through rates for different demog... | https://arxiv.org/abs/2512.25042 | Academic Papers | svg |
eafc6346f18b0b50d9a05461a865cea5a85913124a32e37851edf8e9dc5f548c | 2026-01-01T00:00:00-05:00 | Fluid dynamics as intersection problem | arXiv:2512.25053v1 Announce Type: cross Abstract: We formulate the covariant hydrodynamics equations describing the fluid dynamics as the problem of intersection theory on the infinite dimensional symplectic manifold associated with spacetime. This point of view separates the structures related to the equation of state... | https://arxiv.org/abs/2512.25053 | Academic Papers | svg |
962e626af4d45a3e3420eec08ccb63b99e55f649d1fc5c3c0c7fc51b8ba236ce | 2026-01-01T00:00:00-05:00 | Roller Coaster Permutations and Partition Numbers | arXiv:1703.08735v2 Announce Type: replace Abstract: This paper explores the partition properties of roller coaster permutations, a class of permutations characterized by maximizing the number of alternating runs in all subsequences. We establish a connection between the structure of these permutations and their partiti... | https://arxiv.org/abs/1703.08735 | Academic Papers | svg |
bb527de461e8e1710412704a19449fd5bad1be41518320d671a7c2132d7ddfc9 | 2026-01-01T00:00:00-05:00 | Nonisothermal Richards flow in porous media with cross diffusion | arXiv:2102.00455v3 Announce Type: replace Abstract: The existence of large-data weak entropy solutions to a nonisothermal immiscible compressible two-phase unsaturated flow model in porous media is proved. The model is thermodynamically consistent and includes temperature gradients and cross-diffusion effects. Due to t... | https://arxiv.org/abs/2102.00455 | Academic Papers | svg |
b9690c1a06d91d118c2c1a88470829d79e78790bf870695b73c06a9446fdd9d3 | 2026-01-01T00:00:00-05:00 | The Birch--Swinnerton-Dyer exact formula for quadratic twists of elliptic curves | arXiv:2102.11798v2 Announce Type: replace Abstract: In the present paper, we obtain a general lower bound for the $2$-adic valuation of the algebraic part of the central value of the complex $L$-series for the quadratic twists of any elliptic curve over $\mathbb{Q}$, showing that when the $2$-part of the product of Tam... | https://arxiv.org/abs/2102.11798 | Academic Papers | svg |
31c0034fb991f1f072eb27c4bf7d2cfef5f4ca2aaf2927780c562203ca84e9c8 | 2026-01-01T00:00:00-05:00 | P\'olya-Ostrowski Group and Unit Index in Real Biquadratic Fields | arXiv:2108.01904v4 Announce Type: replace Abstract: The P\'olya-Ostrowski group of a Galois number field $K$, is the subgroup $Po(K)$ of the ideal class group $Cl(K)$ of $K$ generated by the classes of all the strongly ambiguous ideals of $K$. The number field $K$ is called a P\'olya field, whenever $Po(K)$ is trivial.... | https://arxiv.org/abs/2108.01904 | Academic Papers | svg |
25ef64a1fe512142e2354acd9d2d6ea6ab16fe7e89cb62ba2a2040557b5705a3 | 2026-01-01T00:00:00-05:00 | Eisenstein series on arithmetic quotients of rank 2 Kac--Moody groups over finite fields | arXiv:2108.02919v4 Announce Type: replace Abstract: Let $G$ be an affine or hyperbolic rank 2 Kac--Moody group over a finite field $\mathbb F_q$. Let $X=X_{q+1}$ be the Tits building of $G$, the $(q+1)$--homogeneous tree, and let $\Gamma$ be a non-uniform lattice in $G$. When $\Gamma$ is a standard parabolic subgroup f... | https://arxiv.org/abs/2108.02919 | Academic Papers | svg |
271c029bacd01a6d674aaeb1728d6e759f745c16bd1246fe3d3bd7605a3ff8cf | 2026-01-01T00:00:00-05:00 | Towards a mirror theorem for GLSMs | arXiv:2108.12360v4 Announce Type: replace Abstract: We propose a method for computing generating functions of genus-zero invariants of a gauged linear sigma model $(V, G, \theta, w)$. We show that certain derivatives of $I$-functions of quasimap invariants of $[V //_\theta G]$ produce $I$-functions (appropriately defin... | https://arxiv.org/abs/2108.12360 | Academic Papers | svg |
b919ab48fe683ceea67d92698ab366f46ca97d6cff89ab1c74ca2e23ee4a3af5 | 2026-01-01T00:00:00-05:00 | The \'etale cohomology ring of a punctured arithmetic curve | arXiv:2110.01597v5 Announce Type: replace Abstract: We compute the cohomology ring $H^*(U,\mathbb{Z}/n\mathbb{Z})$ for $U=X\setminus S$ where $X$ is the spectrum of the ring of integers of a number field $K$ and $S$ is a finite set of finite primes. As a consequence, we obtain an efficient way to compute presentations ... | https://arxiv.org/abs/2110.01597 | Academic Papers | svg |
2618429a6b0884013205fc35e480d4463c49b7100605e58eae20a991a8d59396 | 2026-01-01T00:00:00-05:00 | On the local existence of solutions to the Navier-Stokes-wave system with a free interface | arXiv:2202.02707v2 Announce Type: replace Abstract: We address a system of equations modeling a compressible fluid interacting with an elastic body in dimension three. We prove the local existence and uniqueness of a strong solution when the initial velocity belongs to the space $H^{2+\epsilon}$ and the initial structu... | https://arxiv.org/abs/2202.02707 | Academic Papers | svg |
df9f1bccd4e7323953c5b1cd66f1763186ca59896fb51ea05fee7f34b668dee0 | 2026-01-01T00:00:00-05:00 | On the regularity of axisymmetric, swirl-free solutions of the Euler equation in four and higher dimensions | arXiv:2204.13406v3 Announce Type: replace Abstract: In this paper, we consider axisymmetric, swirl-free solutions of the Euler equation in four and higher dimensions. We show that in dimension $d\geq 4$, axisymmetric, swirl-free solutions of the Euler equation have properties which could allow finite-time singularity f... | https://arxiv.org/abs/2204.13406 | Academic Papers | svg |
6ced5e0c4dd7eaea3faef42fc642fbc639ace491354e065589e1054069323a2b | 2026-01-01T00:00:00-05:00 | Small resolutions of moduli spaces of scaled curves | arXiv:2208.03721v5 Announce Type: replace Abstract: We construct small resolutions of the moduli space $\overline{Q}_n$ of stable scaled $n$-marked lines of Ziltener and Ma'u--Woodward and of the moduli space $\overline{P}_n$ of stable $n$-marked ${\mathbb G}_a$-rational trees introduced in earlier work. The resolution... | https://arxiv.org/abs/2208.03721 | Academic Papers | svg |
f766acbc75019c64d6d2bed8e98ee9dd09070933ac98b9d3bbb81fe0756688a9 | 2026-01-01T00:00:00-05:00 | Convex Hulls of Dragon Curves | arXiv:2208.12434v2 Announce Type: replace Abstract: The fundamental geometry of self-similar sets becomes significantly more complex when the generating contractive maps include non-trivial rotational components. A well-known family exemplifying this complexity is that of the dragon curves in the plane. In this paper, ... | https://arxiv.org/abs/2208.12434 | Academic Papers | svg |
291cba21ef66d33175bee76f609c721c833e8f861e0dbff94a2eec1f6941d1dc | 2026-01-01T00:00:00-05:00 | Progressive Optimal Path Sampling for Closed-Loop Optimal Control Design with Deep Neural Networks | arXiv:2209.04078v3 Announce Type: replace Abstract: Closed-loop optimal control design for high-dimensional nonlinear systems has been a long-standing challenge. Traditional methods, such as solving the associated Hamilton-Jacobi-Bellman equation, suffer from the curse of dimensionality. Recent literature proposed a ne... | https://arxiv.org/abs/2209.04078 | Academic Papers | svg |
2eae1408a5625ba4794bb54c3021071e29e51d91569822763b30d10f3092cc48 | 2026-01-01T00:00:00-05:00 | Knot surgery formulae for instanton Floer homology II: applications | arXiv:2209.11018v2 Announce Type: replace Abstract: This is a companion paper to earlier work of the authors, which proved an integral surgery formula for framed instanton homology. First, we present an enhancement of the large surgery formula, a rational surgery formula for null-homologous knots in any 3-manifold, and... | https://arxiv.org/abs/2209.11018 | Academic Papers | svg |
9387e4f0eb79a335160d7aeb8c5c2290e62dcee74fd9905ca4ad5e1c8cab708f | 2026-01-01T00:00:00-05:00 | Incidence Estimates for Tubes in Complex Space | arXiv:2210.05477v3 Announce Type: replace Abstract: In this paper, we prove a complex version of the incidence estimate of Guth, Solomon and Wang for tubes obeying certain strong spacing conditions, and we use one of our new estimates to resolve a discretized variant of Falconer's distance set problem in $\mathbb{C}^2$... | https://arxiv.org/abs/2210.05477 | Academic Papers | svg |
e69b0b3417286ef76b9079620117c7d69a75193b25cd13959dff5e5d00bd80fc | 2026-01-01T00:00:00-05:00 | Pullback of quantum principal bundles | arXiv:2212.06946v2 Announce Type: replace Abstract: We introduce an abstract framework of Cartesian squares beyond the context of fiber products, and use it to extend the notion of pullback from classical to compact quantum principal bundles. Based only on our abstract notion of a Cartesian square, we extend key concep... | https://arxiv.org/abs/2212.06946 | Academic Papers | svg |
cafc08e01298a37ff0ac9df72eb43b86e78c68648e782e272752665bab3e5f9b | 2026-01-01T00:00:00-05:00 | Gromov width of the disk cotangent bundle of spheres of revolution | arXiv:2301.08528v2 Announce Type: replace Abstract: Inspired by work of the first and second author, this paper studies the Gromov width of the disk cotangent bundle of spheroids and Zoll spheres of revolution. This is achieved with the use of techniques from integrable systems and embedded contact homology capacities. | https://arxiv.org/abs/2301.08528 | Academic Papers | svg |
3261102ff3d8e7c9f183520d67d33b6daf2b40a1eee5e622e92f0a6cf6f6d2b7 | 2026-01-01T00:00:00-05:00 | Time-Domain Moment Matching for Second-Order Systems | arXiv:2305.01254v2 Announce Type: replace Abstract: The paper develops a second-order time-domain moment matching framework for the structure-preserving model reduction of second-order dynamical systems of high dimension, avoiding the first-order double-sized equivalent system. The moments of a second-order system are ... | https://arxiv.org/abs/2305.01254 | Academic Papers | svg |
54cd4fad241393d02c8d970f1c60c6832f7e19c5fe55741d473eb4d311697fc0 | 2026-01-01T00:00:00-05:00 | Topological Hochschild homology of the image of j | arXiv:2307.04248v2 Announce Type: replace Abstract: We compute the mod $(p,v_1)$ and mod $(2,\eta,v_1)$ $\mathrm{THH}$ of many variants of the image-of-$J$ spectrum. In particular, we do this for $j_{\zeta}$, whose $\mathrm{TC}$ is closely related to the $K$-theory of the $K(1)$-local sphere. We find in particular that... | https://arxiv.org/abs/2307.04248 | Academic Papers | svg |
8d298dcd46904f4d204be43e3ebe7b359d613169cfac79de284fe8150e27a918 | 2026-01-01T00:00:00-05:00 | MLC at Feigenbaum points | arXiv:2309.02107v3 Announce Type: replace Abstract: We prove a priori bounds for Feigenbaum quadratic polynomials, i.e., infinitely renormalizable polynomials $f_c: z\mapsto z^2+c$ of bounded type. It implies local connectivity of the corresponding Julia sets $J(f_c)$ and MLC (local connectivity of the Mandelbrot set) ... | https://arxiv.org/abs/2309.02107 | Academic Papers | svg |
186950d86fc510212b679a007030db28e9551717c2a55c534802d7176beec801 | 2026-01-01T00:00:00-05:00 | GeNIOS: an (almost) second-order operator-splitting solver for large-scale convex optimization | arXiv:2310.08333v2 Announce Type: replace Abstract: We introduce the GEneralized Newton Inexact Operator Splitting solver (GeNIOS) for large-scale convex optimization. GeNIOS speeds up ADMM by approximately solving approximate subproblems: it uses a second-order approximation to the most challenging ADMM subproblem and... | https://arxiv.org/abs/2310.08333 | Academic Papers | svg |
4e9093b9c9ac39321ddd27c0d68bcf6d5e0a364bc39bfee338882400590aa9ce | 2026-01-01T00:00:00-05:00 | The L'vov-Kaplansky Conjecture for Polynomials of Degree Three | arXiv:2310.15600v2 Announce Type: replace Abstract: The L'vov-Kaplansky conjecture states that the image of a multilinear noncommutative polynomial $f$ in the matrix algebra $M_n(K)$ is a vector space for every $n \in {\mathbb N}$. We prove this conjecture for the case where $f$ has degree $3$ and $K$ is an algebraical... | https://arxiv.org/abs/2310.15600 | Academic Papers | svg |
7809199241f8d856ce6227052dff8d2813a7979bb92deb830b48c47eb84ca4d3 | 2026-01-01T00:00:00-05:00 | Paley-Wiener Theorem for Probabilistic Frames | arXiv:2310.17830v3 Announce Type: replace Abstract: This paper establishes Paley-Wiener perturbation theorems for probabilistic frames. The classical Paley-Wiener perturbation theorem shows that if a sequence is close to a basis in a Banach space, then this sequence is also a basis. Similar perturbation results have be... | https://arxiv.org/abs/2310.17830 | Academic Papers | svg |
7e5abaeba7197ca61d06bec11592011b7dd12f7134cca03485d5560b4e6e004d | 2026-01-01T00:00:00-05:00 | On the complexity of meander-like diagrams of knots | arXiv:2312.05014v2 Announce Type: replace Abstract: It is known that each knot has a semimeander diagram (i. e. a diagram composed of two smooth simple arcs), however the number of crossings in such a diagram can only be roughly estimated. In the present paper we provide a new estimate of the complexity of the semimean... | https://arxiv.org/abs/2312.05014 | Academic Papers | svg |
098cf9832142bbf36e6f467e8b4a5fa256a579aeb98ea2394435b7cb9529c83e | 2026-01-01T00:00:00-05:00 | A Rank-Dependent Theory for Decision under Risk and Ambiguity | arXiv:2312.05977v3 Announce Type: replace Abstract: This paper axiomatizes, in a two-stage setup, a new theory for decision under risk and ambiguity. The axiomatized preference relation $\succeq$ on the space $\tilde{V}$ of random variables induces an ambiguity index $c$ on the space $\Delta$ of probabilities, a probab... | https://arxiv.org/abs/2312.05977 | Academic Papers | svg |
b97b6c2c4d01700d871eed113a1f09f9bdeb6618a0fb70dc2b56f05a68056472 | 2026-01-01T00:00:00-05:00 | Some frustrating questions on dimensions of products of posets | arXiv:2312.12615v4 Announce Type: replace Abstract: For $P$ a poset, the dimension of $P$ is defined to be the least cardinal $\kappa$ such that $P$ is embeddable in a direct product of $\kappa$ totally ordered sets. We study the behavior of this function on finite-dimensional (not necessarily finite) posets. In genera... | https://arxiv.org/abs/2312.12615 | Academic Papers | svg |
9ddc6a8b30a6ae64d194fa1043150f93fc2c0438443fcf3d3059824f9f9c0ee5 | 2026-01-01T00:00:00-05:00 | Categorical absorption of a non-isolated singularity | arXiv:2402.18513v2 Announce Type: replace Abstract: We study an example of a projective threefold with a non-isolated singularity and its derived category. The singular locus can be locally described as a line of surface nodes compounded with a threefold node at the origin. We construct a semiorthogonal decomposition w... | https://arxiv.org/abs/2402.18513 | Academic Papers | svg |
0eeaecd536eb5a27b18cf7380176fd409cf36881f2b440ffdf5343b237dea6bf | 2026-01-01T00:00:00-05:00 | Growth of root multiplicities along imaginary root strings in Kac--Moody algebras | arXiv:2403.01687v3 Announce Type: replace Abstract: Let $\mathfrak{g}$ be a symmetrizable Kac--Moody algebra. Given a root $\alpha$ and a real root $\beta$ of $\mathfrak{g}$, it is known that the $\beta$-string through $\alpha$, denoted $R_\alpha(\beta)$, is finite. Given an imaginary root $\beta$, we show that $R_\alp... | https://arxiv.org/abs/2403.01687 | Academic Papers | svg |
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