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 |
|---|---|---|---|---|---|---|
96766d3dacabf84d0649335198353d233097b0896e236e6e9c8cfaf1991f2f48 | 2026-01-07T00:00:00-05:00 | A Context for Manifold Calculus | arXiv:2403.03321v5 Announce Type: replace Abstract: We develop Weiss's manifold calculus in the setting of $\infty$-categories, where we allow the target $\infty$-category to be any $\infty$-category with small limits. We will establish the connection between polynomial functors, Kan extensions, and Weiss sheaves, and ... | https://arxiv.org/abs/2403.03321 | Academic Papers | svg |
f760fc2aa02a4a7df47bdaba8649f0fcfcc284ed30e8f02eb066de2c39e4329a | 2026-01-07T00:00:00-05:00 | The global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups I: Coarse expansions of the relative trace formulae | arXiv:2404.07342v3 Announce Type: replace Abstract: This is the first of a series of three papers where we prove the Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups and an Ichino--Ikeda type refinement. Our strategy is based on the comparison of relative trace formulae formulated by Liu. The... | https://arxiv.org/abs/2404.07342 | Academic Papers | svg |
821848ed4f5a497ec2c8186f6f0621853ea0b069dbf3acafc90b9951986a6f82 | 2026-01-07T00:00:00-05:00 | Real plane separating (M-2)-curves of degree d and totally real pencils of degree d-3 | arXiv:2404.09671v4 Announce Type: replace Abstract: It is well known that a non-singular real plane projective curve of degree five with five connected components is separating if and only if its ovals are in non-convex position. In this article, this property is set into a different context and generalised to all real... | https://arxiv.org/abs/2404.09671 | Academic Papers | svg |
9483d87f0f5c12798d10c93cb03624dcf3afa2cf76f39de288c74a6a1870b2b7 | 2026-01-07T00:00:00-05:00 | Master equations with indefinite nonlinearities | arXiv:2405.02091v2 Announce Type: replace Abstract: In this paper, we consider the following indefinite fully fractional heat equation involving the master operator \begin{equation} (\partial_t -\Delta)^{s} u(x,t) = x_1u^p(x,t)\ \ \mbox{in}\ \R^n\times\R , \end{equation} where $s\in(0,1)$, and $-\infty < p < \infty$. U... | https://arxiv.org/abs/2405.02091 | Academic Papers | svg |
08cd68ae82b7a62962658a808905b3807068ed91f851efcf690d6c20363c89cb | 2026-01-07T00:00:00-05:00 | Common Noise by Random Measures: Constructing Mean-Field Equilibria for Competitive Investment and Hedging | arXiv:2408.01175v2 Announce Type: replace Abstract: We construct Nash-equilibria in mean-field portfolio games of optimal investment and hedging under relative performance concerns with exponential (CARA) utility preferences. Common noise dynamics are modeled by integer-valued random measures, for instance Poisson rand... | https://arxiv.org/abs/2408.01175 | Academic Papers | svg |
d3153a4eed35f0b8e47fb019fbfe68ee3daa5ed418ff70ef9f475e69bd182523 | 2026-01-07T00:00:00-05:00 | Monodromy and vanishing cycles for complete intersection curves | arXiv:2408.06479v3 Announce Type: replace Abstract: We compute the topological monodromy of every family of complete intersection curves. Like in the case of plane curves previously treated by the second-named author, we find the answer is given by the $r$-spin mapping class group associated to the maximal root of the ... | https://arxiv.org/abs/2408.06479 | Academic Papers | svg |
d682f7444a363686ace5beceb04d2e07d09ee8fdfca1e2753a0208f8fb21d447 | 2026-01-07T00:00:00-05:00 | Instability of Legendrian knottedness, and non-regular Lagrangian concordances of knots | arXiv:2409.00290v2 Announce Type: replace Abstract: We show that the family of smoothly non-isotopic Legendrian pretzel knots from the work of Cornwell-Ng-Sivek that all have the same Legendrian invariants as the standard unknot have front-spuns that are Legendrian isotopic to the front-spun of the unknot. Besides that... | https://arxiv.org/abs/2409.00290 | Academic Papers | svg |
ded1859347adf67ec9a4b1ea26eba0e39e774db0c2c6d13f61cbd557fad93abe | 2026-01-07T00:00:00-05:00 | A combination theorem for hierarchically quasiconvex subgroups, and application to geometric subgroups of mapping class groups | arXiv:2409.03602v2 Announce Type: replace Abstract: We provide sufficient conditions for two subgroups of a hierarchically hyperbolic group to generate an amalgamated free product over their intersection. The result applies in particular to certain geometric subgroups of mapping class groups of finite-type surfaces, th... | https://arxiv.org/abs/2409.03602 | Academic Papers | svg |
64f32b7dd527f4d7c88499d85a6b80373510f26862e8fff8026c6313dc4d77eb | 2026-01-07T00:00:00-05:00 | Approximability of deep equilibria | arXiv:2409.06064v4 Announce Type: replace Abstract: We introduce a structural framework for computations involving floating-point operations.Informed by real-valued logic, we introduce deep computations (ultracomputations) and deep iterates, formalizing the ideas of "asymptotic limit" of computations and compositional ... | https://arxiv.org/abs/2409.06064 | Academic Papers | svg |
7c248f0d93de8813c95220fb13b4e3ee61321954b0b6ae37f1eca201fc4fb3cb | 2026-01-07T00:00:00-05:00 | The leftmost particle of branching subordinators | arXiv:2409.16617v2 Announce Type: replace Abstract: We define a family of continuous-time branching particle systems on the non-negative real line, called branching subordinators, where particles move as independent subordinators. Each particle can also split (at possibly infinite rate) into several children (possibly ... | https://arxiv.org/abs/2409.16617 | Academic Papers | svg |
242a97be78bec354d15f4f0cbad6150f5b8e91f064f42a88838081d1ce70f29f | 2026-01-07T00:00:00-05:00 | Stability of reverse isoperimetric inequalities in the plane: area, Cheeger, and inradius | arXiv:2410.06096v2 Announce Type: replace Abstract: In this paper, we present sharp stability results for various reverse isoperimetric problems in $\mathbb R^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for $\lambda$-convex bodies -- convex bodies with the property that each of thei... | https://arxiv.org/abs/2410.06096 | Academic Papers | svg |
32c3cccabc520ab1725ab6cd9f5aa0defe81826c423c56a5d57cfb9fab160c27 | 2026-01-07T00:00:00-05:00 | Mapping class group orbit closures for Deroin-Tholozan representations | arXiv:2411.10269v2 Announce Type: replace Abstract: We prove that infinite mapping class group orbits are dense in the character variety of Deroin-Tholozan representations. In other words, the action is minimal except for finite orbits. Our arguments rely on the symplectic structure of the character variety, emphasizin... | https://arxiv.org/abs/2411.10269 | Academic Papers | svg |
bb6da10529879f1c2d381de10e43aaee948f892a942455893da5e01f78ce7490 | 2026-01-07T00:00:00-05:00 | Information geometric regularization of unidimensional pressureless Euler equations yields global strong solutions | arXiv:2411.15121v2 Announce Type: replace Abstract: Partial differential equations describing compressible fluids are prone to the formation of shock singularities, arising from faster upstream fluid particles catching up to slower, downstream ones. In geometric terms, this causes the deformation map to leave the manif... | https://arxiv.org/abs/2411.15121 | Academic Papers | svg |
8bc3157e68019d3e414b897dbb37de3ae48a50318a4116a91e3ef53ac08d6d1c | 2026-01-07T00:00:00-05:00 | Dg-separable dg-extensions | arXiv:2412.06526v2 Announce Type: replace Abstract: We define and characterise completely dg-separable dg-extensions $\varphi:(A,d_A)\rightarrow (B,d_B)$. We completely characterise the case of graded commutative dg-division algebras in characteristic different from $2$. We prove that for a dg-separable extension a sho... | https://arxiv.org/abs/2412.06526 | Academic Papers | svg |
9a4f2b90f5254fbddecb05848009d85537c7e08b5cfee546682d10c54200c98c | 2026-01-07T00:00:00-05:00 | Regularity of solutions for fully fractional parabolic equations | arXiv:2502.07530v2 Announce Type: replace Abstract: In this paper, we study the fully fractional heat equation involving the master operator: $$ (\partial_t -\Delta)^{s} u(x,t) = f(x,t)\ \ \mbox{in}\ \mathbb{R}^n\times\mathbb{R} , $$ where $s\in(0,1)$ and $f(x,t) \geq 0$. First we derive H\"{o}lder and Schauder estimat... | https://arxiv.org/abs/2502.07530 | Academic Papers | svg |
267817652f0af233b32351bdf9a99c040bc16e56c74b7e7b19ba4f6586f5b160 | 2026-01-07T00:00:00-05:00 | Lie algebras of quotient groups | arXiv:2502.10260v2 Announce Type: replace Abstract: We give conditions on a diffeological group $G$ and a normal subgroup $H$ under which the quotient group $G/H$ differentiates to a Lie algebra for which $\operatorname{Lie}(G/H) \cong \operatorname{Lie}(G)/\operatorname{Lie}(H)$. Our Lie functor is instantiated by the... | https://arxiv.org/abs/2502.10260 | Academic Papers | svg |
be10f49bdc527614d9fbf10db6ef29d9266f799a0a810806f439c2b5881a5708 | 2026-01-07T00:00:00-05:00 | The shift-homological spectrum and parametrising kernels of rank functions | arXiv:2502.11939v2 Announce Type: replace Abstract: For any compactly generated triangulated category we introduce two topological spaces, the shift-spectrum and the shift-homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical. These spaces can be ... | https://arxiv.org/abs/2502.11939 | Academic Papers | svg |
4c5d6edbf798150030e62cd58a83c7efbfc45ca73cb67de44e0a0c1118c7d23c | 2026-01-07T00:00:00-05:00 | A Note on the Phragmen-Lindelof Theorem | arXiv:2502.13282v3 Announce Type: replace Abstract: We provide a generalization of the Phragm\'en-Lindel\"of principal of Rademacher with the aim of correcting, or at least provide a pathway to correcting, several errors appearing in the literature. | https://arxiv.org/abs/2502.13282 | Academic Papers | svg |
09f40396eb81fa3cf1f690c917c669f845de6c21086b0982f285b47f9faed997 | 2026-01-07T00:00:00-05:00 | Characterizations of Tilt-Stable Local Minimizers of a Class of Matrix Optimization Problems | arXiv:2503.03217v3 Announce Type: replace Abstract: Tilt stability plays a pivotal role in understanding how local solutions of an optimization problem respond to small, targeted perturbations of the objective. Although quadratic bundles are a powerful tool for capturing second-order variational behavior, their charact... | https://arxiv.org/abs/2503.03217 | Academic Papers | svg |
7f50b396c19e4891ffce73b16e49cc39b737114db9be14f0b47bf94e9beafcd9 | 2026-01-07T00:00:00-05:00 | On action rate admissibility criteria | arXiv:2503.03491v5 Announce Type: replace Abstract: We formulate new admissibility criteria for initial value problems motivated by the least action principle. These are applied to a two-dimensional Riemann initial value problem for the isentropic compressible Euler fluid flow. It is shown that the criterion prefers th... | https://arxiv.org/abs/2503.03491 | Academic Papers | svg |
523eb7a22de60e27aa31c23e91e3d2b04c38a64ffa169df3a3eedc14c79ad2e5 | 2026-01-07T00:00:00-05:00 | The large sieve for square moduli, revisited | arXiv:2503.18009v4 Announce Type: replace Abstract: We revisit the large sieve for square moduli and obtain conditional improvements under hypotheses on higher additive energies of modular square roots. | https://arxiv.org/abs/2503.18009 | Academic Papers | svg |
5b42100a22b77a92b737fd31ecf34290fdd489c93affc4e9df0750449a126715 | 2026-01-07T00:00:00-05:00 | Secant varieties of Segre-Veronese varieties $\mathbb{P}^m\times\mathbb{P}^n$ embedded by $\mathcal{O}(1,2)$ are non-defective for $n\gg m^3$, $m\geq3$ | arXiv:2503.21972v2 Announce Type: replace Abstract: We prove that for any $m\geq3$, $n\gg m^3$, all secant varieties of the Segre-Veronese variety $\mathbb{P}^m\times\mathbb{P}^n$ have the expected dimension. This was already proved by Abo and Brambilla in the subabundant case, hence we focus on the superabundant case.... | https://arxiv.org/abs/2503.21972 | Academic Papers | svg |
3d52dc13786c17e081ecc11c7b37110befe7ac2a9900cd1cea817a964e3a648e | 2026-01-07T00:00:00-05:00 | Bounded domains on Kobayashi hyperbolic manifolds covering compact complex manifolds | arXiv:2504.03935v2 Announce Type: replace Abstract: The lack of a uniformization theorem in several complex variables leads to a desire to classify all of the simply connected domains. We use established computational methods and a localization technique to generalize a recently-published classification. In particular,... | https://arxiv.org/abs/2504.03935 | Academic Papers | svg |
26e402afe1314e5945d3545ad2af28fb81f83df0442941bd6f10818fba8998c2 | 2026-01-07T00:00:00-05:00 | Hanf numbers for poset games | arXiv:2504.07317v3 Announce Type: replace Abstract: Given two well partial orders $(P;\leq_P)$ and $(T;\leq_T)$, each with a minimum element, we study the following question: which player has a winning strategy for Chomp on the poset $(P\times T;\leq_{P\times T})$? Here, $(P\times T;\leq_{P\times T})$ denotes the poset... | https://arxiv.org/abs/2504.07317 | Academic Papers | svg |
daa68e69e7fe7d4cfcababa12f5a9f849867df3065065fdf1f7295ab5433489d | 2026-01-07T00:00:00-05:00 | On Minimal generating sets of splitting field, Cluster towers and Multiple transitivity of Galois groups | arXiv:2505.00672v3 Announce Type: replace Abstract: A natural generating set for a Galois extension regarded as the splitting field of an irreducible polynomial is introduced and investigated here. Minimal generating sets arising in this context throw many surprises compared to the analogous concept in linear algebra: ... | https://arxiv.org/abs/2505.00672 | Academic Papers | svg |
7a79ab0ae427fd3f5a39808ead8cf89a543cb4cde814f8b813c6bbe89e0853cc | 2026-01-07T00:00:00-05:00 | Minimal Simplicial Degree $d$ Maps from Genus $g$ Surfaces to the Torus | arXiv:2505.02386v2 Announce Type: replace Abstract: The degree of a map between orientable manifolds is a fundamental concept in topology, offering deep insights into the structure of the manifolds and the nature of the corresponding maps. This concept has been extensively studied, particularly in the context of simpli... | https://arxiv.org/abs/2505.02386 | Academic Papers | svg |
9cbfc6bffedc7926f6ba4039690db27b632abf91c9bcb815488875d7690b2a4b | 2026-01-07T00:00:00-05:00 | Bounded cohomology, quotient extensions, and hierarchical hyperbolicity | arXiv:2505.20462v3 Announce Type: replace Abstract: We call a central extension bounded if its Euler class is represented by a bounded cocycle. We prove that a bounded central extension of a hierarchically hyperbolic group (HHG) is still a HHG; conversely if a central extension is a HHG, then the extension is bounded, ... | https://arxiv.org/abs/2505.20462 | Academic Papers | svg |
44cb2008414a675c066b519dd2b49eca1a9ae0b56c865213ebf616571ce1b295 | 2026-01-07T00:00:00-05:00 | Frostman and Fourier characterisations of fractal dimensions | arXiv:2505.21217v2 Announce Type: replace Abstract: We examine Frostman-type characterisations and other extremal measure criteria for a range of fractal dimensions of sets. In particular we derive properties of the less familiar modified lower box dimension and upper correlation dimension. We also express a number of ... | https://arxiv.org/abs/2505.21217 | Academic Papers | svg |
7e16977e1fa01e8720f937c421767945036cbfccbe9f6b4437889d774e8114d3 | 2026-01-07T00:00:00-05:00 | Enumerating log rational curves on some toric varieties | arXiv:2506.13975v3 Announce Type: replace Abstract: The genus 0, fixed-domain log Gromov-Witten invariants of a smooth, projective toric variety X enumerate maps from a general pointed rational curve to a smooth, projective toric variety passing through the maximal number of general points and with prescribed multiplic... | https://arxiv.org/abs/2506.13975 | Academic Papers | svg |
9e349d69eb8909160f3fa28968a26ac21c84a46001de960082cb2cb3a879a9e5 | 2026-01-07T00:00:00-05:00 | Maximal transitivity of the cactus group on standard Young tableaux | arXiv:2506.16561v2 Announce Type: replace Abstract: The action of the cactus group $C_n$ on Young tableaux of a given shape $\lambda$ goes back to Berenstein and Kirillov and arises naturally in the study of crystal bases and quantum integrable systems. We show that this action is $2$-transitive on standard Young table... | https://arxiv.org/abs/2506.16561 | Academic Papers | svg |
5f842cb852966689cd1af1af3aefda84fad840055fceac773dbb36b9c5b755b3 | 2026-01-07T00:00:00-05:00 | Non-unique equilibrium measures and freezing phase transitions for matrix cocycles for negative $t$ | arXiv:2507.01148v2 Announce Type: replace Abstract: We consider a one-step matrix cocycle generated by a pair of non-negative parabolic matrices and study the equilibrium measures for $t\log \|\mathcal A\|$ as $t$ runs over the reals. We show that there is a freezing first order phase transition at some parameter value... | https://arxiv.org/abs/2507.01148 | Academic Papers | svg |
e906344e2f17a0dfee4dc142529604523f7d12463b52a108c851ed8b37aa7a2f | 2026-01-07T00:00:00-05:00 | Matrix Fej\'er-Riesz type theorem for a union of an interval and a point | arXiv:2507.01357v2 Announce Type: replace Abstract: The matrix Fej\'er-Riesz theorem characterizes positive semidefinite matrix polynomials on the real line. In the previous work of the second-named author this was extended to the characterization on arbitrary closed semialgebraic sets $K$ in $\mathbb{R}$ by using matr... | https://arxiv.org/abs/2507.01357 | Academic Papers | svg |
73d7337c929c572861e2b0cd9098877710707c1843f7b1be56dfceb35c085739 | 2026-01-07T00:00:00-05:00 | Bounded diameter monochromatic component covers | arXiv:2507.05842v2 Announce Type: replace Abstract: Ryser conjectured that every $r$-edge-coloured complete graph can be covered by $r-1$ monochromatic trees. Motivated by a question of Austin in analysis, Mili\'cevi\'c predicted something stronger -- that every $r$-edge-coloured complete graph can be covered by $r-1$ ... | https://arxiv.org/abs/2507.05842 | Academic Papers | svg |
54345a285064d7ecc98d24e66f2fd3c1ef3d565bc92a3b6240543ee820038d36 | 2026-01-07T00:00:00-05:00 | Classifying Nakayama algebras with a braid group action on $\tau$-exceptional sequences | arXiv:2507.07608v2 Announce Type: replace Abstract: We characterise those basic and connected Nakayama algebras $\Lambda$ for which the mutation of $\tau$-exceptional sequences respects the braid group relations. We show that this is the case if and only if $\Lambda$ is hereditary or all indecomposable projective $\Lam... | https://arxiv.org/abs/2507.07608 | Academic Papers | svg |
3b77bf5264c8ebc7953b04b3e8a4a9e7b24202e9b6c8377f57cc51876ad5ea8a | 2026-01-07T00:00:00-05:00 | Donaldson-Thomas invariants of $[\mathbb C^4/\mathbb Z_r]$ | arXiv:2507.21582v2 Announce Type: replace Abstract: We compute the zero-dimensional Donaldson-Thomas invariants of the quotient stack $[\mathbb{C}^4/\mathbb{Z}_r]$, confirming a conjecture of Cao-Kool-Monavari. Our main theorem is established through an orbifold analogue of Cao-Zhao-Zhou's degeneration formula combined... | https://arxiv.org/abs/2507.21582 | Academic Papers | svg |
24fb90617092abd70a26a4662f010a05fda8c0d552c56115de8ff63c9bdb8a8f | 2026-01-07T00:00:00-05:00 | Strong Feller Regularisation of 1-d Nonlinear Transport by Reflected Ornstein-Uhlenbeck Noise | arXiv:2508.01355v2 Announce Type: replace Abstract: We consider equations of nonlinear transport on the circle with regular self interactions appearing in aggregation models and deterministic mean field dynamics. We introduce a random perturbation of such systems through a stochastic orientation preserving flow, which ... | https://arxiv.org/abs/2508.01355 | Academic Papers | svg |
32dede0f968f746ba9fb9733718602d5a4564486db7fb7f5e9a96e85429c6d23 | 2026-01-07T00:00:00-05:00 | Joint distribution of Hecke eigenforms on $\mathbb{H}^3$ | arXiv:2508.06331v2 Announce Type: replace Abstract: We prove a joint value equidistribution statement for Hecke-Maa{\ss} cusp forms on the hyperbolic three-space $\mathbb{H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms. | https://arxiv.org/abs/2508.06331 | Academic Papers | svg |
40977c81dc122a95c33a132b08ca334bc331fff85c8a59e851b605b509103fee | 2026-01-07T00:00:00-05:00 | K-promotion on m-packed labelings of posets | arXiv:2508.09305v2 Announce Type: replace Abstract: Schutzenberger's promotion operator, pro, is a fundamental map in dynamical algebraic combinatorics. At first, its action was mainly considered on standard Young tableaux. But pro was subsequently shown to have interesting properties when applied to natural labelings ... | https://arxiv.org/abs/2508.09305 | Academic Papers | svg |
0f0f59b7c6640d231dc6dea024eaadadf6cd6aecce4b9ee30d0fffe6f255366b | 2026-01-07T00:00:00-05:00 | On a Grassmann odd analogue of Carrollian Manifolds | arXiv:2508.14240v3 Announce Type: replace Abstract: We define a Grassmann odd analogue of a Carrollian manifold as a supermanifold of dimension $n|1$ with an even degenerate metric such that the kernel is generated by a non-singular odd vector field that is a supersymmetry generator. Alongside other results, we establi... | https://arxiv.org/abs/2508.14240 | Academic Papers | svg |
70ddd53305e5a300ad6af2e170fadd72b0fbc32e5efbd74ef4ff7384ddd01eaa | 2026-01-07T00:00:00-05:00 | Mutations of quivers with 2-cycles | arXiv:2508.15022v2 Announce Type: replace Abstract: We develop a mutation theory for quivers with oriented 2-cycles using a structure called a homotopy, defined as a normal subgroupoid of the quiver's fundamental groupoid. This framework extends Fomin-Zelevinsky mutations of 2-acyclic quivers and yields involutive muta... | https://arxiv.org/abs/2508.15022 | Academic Papers | svg |
4af3d762162acc56320f815450faa94d8192f8df525d1ea0621fa15192b81ac2 | 2026-01-07T00:00:00-05:00 | Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras | arXiv:2508.15890v3 Announce Type: replace Abstract: We introduce symmetric Poisson structures as pairs consisting of a symmetric bivector field and a torsion-free connection satisfying an integrability condition analogous to that in usual Poisson geometry. Equivalent conditions in Poisson geometry have inequivalent ana... | https://arxiv.org/abs/2508.15890 | Academic Papers | svg |
f2bc9eb25ada5f4a7f273241b6a0ab61b4a3b4992d9583889bd1e0b8134ced33 | 2026-01-07T00:00:00-05:00 | Minimal ${A}_{\infty}$-algebras of endomorphisms: The case of $d\mathbb{Z}$-cluster tilting objects | arXiv:2508.18852v2 Announce Type: replace Abstract: The Derived Auslander--Iyama Corresponence, a recent result of the authors, provides a classification up to quasi-isomorphism of the derived endomorphism algebras of basic $d\mathbb{Z}$-cluster tilting objects in $\operatorname{Hom}$-finite algebraic triangulated cate... | https://arxiv.org/abs/2508.18852 | Academic Papers | svg |
b057c2b4f230750c23700d6fa2a4c695af8afcb97b146b71519bb914499a52ff | 2026-01-07T00:00:00-05:00 | Lipschitz-free spaces and Bossard's reduction argument | arXiv:2509.00722v2 Announce Type: replace Abstract: We set up a descriptive set-theoretic framework to study Lipschitz-free spaces and use the reduction argument of Bossard to prove several results. We prove two universality results: if a separable Banach space is isomorphically universal for the class of Lipschitz-fre... | https://arxiv.org/abs/2509.00722 | Academic Papers | svg |
da2103a0e9730732aad94231a4d2b1ba5a2e41acb45f51994928172afa4e2473 | 2026-01-07T00:00:00-05:00 | Global existence of the irrotational Euler-Nordstr\"om equations with a positive cosmological constant: The gravitational field equation | arXiv:2509.02023v4 Announce Type: replace Abstract: Our aim is to establish the global existence of classical solutions to the nonlinear irrotational Euler--Nordstr\"om system, which incorporates a linear equation of state and a cosmological constant. In this setting, gravitation is described by a single scalar field s... | https://arxiv.org/abs/2509.02023 | Academic Papers | svg |
01c1e9c6a8534335c6f948a9939a778042abf3906048704fbff9616e6dc72680 | 2026-01-07T00:00:00-05:00 | Concentration Inequalities for Branching Random Walk | arXiv:2509.05860v2 Announce Type: replace Abstract: While classical concentration inequalities are typically restricted to two special cases -- independence and martingale difference sequences -- we extend concentration inequalities to a much broader class of stochastic processes by relaxing these foundational conditio... | https://arxiv.org/abs/2509.05860 | Academic Papers | svg |
1919851ce01006dd4e39ce8e2655bf1f554a72181845fbff15729c33f92ef209 | 2026-01-07T00:00:00-05:00 | Quantization of bounded symplectic domains associated with compact Lie groups | arXiv:2509.05931v2 Announce Type: replace Abstract: We present a systematic quantization scheme for bounded symplectic domains of the form $D \times G \subset T^\ast G$, where $D \subset \mathfrak{g}^\ast$ is a bounded region defined by algebraic inequalities and $G$ is a compact Lie group with Lie algebra $\mathfrak{g... | https://arxiv.org/abs/2509.05931 | Academic Papers | svg |
8e750d93e50dddee6241278e56b634b5ea24196ffcfa24a0d8886b8a6426582a | 2026-01-07T00:00:00-05:00 | K-theoretic Hikita conjecture for quiver gauge theories | arXiv:2509.06226v2 Announce Type: replace Abstract: We study variants of Hikita conjecture for Nakajima quiver varieties and corresponding Coulomb branches. First, we derive the equivariant version of the conjecture from the non-equivariant one for a set of gauge theories. Second, we suggest a variant of the conjecture... | https://arxiv.org/abs/2509.06226 | Academic Papers | svg |
2e57e4a45969a9b9f3ddc7d704034d41751c441e6747cc2bba80cc5778c331fc | 2026-01-07T00:00:00-05:00 | $HS$-tensional maps and $HM$-tensional maps | arXiv:2509.08564v2 Announce Type: replace Abstract: Let $\psi: (M,g)\longrightarrow (N,h)$ be a smooth map between Riemannian manifolds. The tension field of $\psi$ can be regarded as a map from $(M,g)$ into the Riemannian vector bundle $\psi^{-1}TN$, equipped with the Sasaki metric $G_{S}$. In this paper, we study cer... | https://arxiv.org/abs/2509.08564 | Academic Papers | svg |
5cff0179772a1d1ad3fa450aca61b1b73f1f47c85263ffc7c67a621ff3a53a1e | 2026-01-07T00:00:00-05:00 | Augmentations, reduced ideal point gluings and compact type degenerations of curves | arXiv:2509.12429v2 Announce Type: replace Abstract: In this note we demonstrate some unexpected properties that simple gluings of the simplest derived categories may have. We consider two special cases: the first is an augmented curve, i.e., the gluing of the derived categories of a point and a curve with the gluing bi... | https://arxiv.org/abs/2509.12429 | Academic Papers | svg |
6100280458bc9df90903e4b19f9f50baea8c8f27d79780ee405b241aadb6f65c | 2026-01-07T00:00:00-05:00 | The Complexity of Arc-Connectedness Relation in the Plane | arXiv:2509.24596v2 Announce Type: replace Abstract: In this paper, we show that the arc-connectedness equivalence relation on a Polish subspace of the real plane is an essentially hyperfinite Borel equivalence relation. This result provides the optimal upper bound for such a Borel equivalence relation. | https://arxiv.org/abs/2509.24596 | Academic Papers | svg |
c9f3b8fcce9bd6fc34de6ebde589339783c6fa80ba8fdb2d78f4facb11520e76 | 2026-01-07T00:00:00-05:00 | Impact of memory on clustering in spontaneous particle aggregation | arXiv:2510.15335v2 Announce Type: replace Abstract: The effect of short-term and long-term memory on spontaneous aggregation of organisms is investigated using a stochastic agent-based model. Each individual modulates the amplitude of its random motion according to the perceived local density of neighbors. Memory is in... | https://arxiv.org/abs/2510.15335 | Academic Papers | svg |
4adcb2af839612dca6f7f316906c90940b2eb91e494bd07239bc7eba93d1e84c | 2026-01-07T00:00:00-05:00 | A Linear Representation for Functions on Finite Sets | arXiv:2510.20167v5 Announce Type: replace Abstract: We demonstrate that any function $f$ from a finite set $Y$ to itself can be represented linearly. Specifically, we prove the existence of an injective map $j$ from $Y$ into a modular ring $\mathbb{Z}/m\mathbb{Z}$ and a constant $a \in \mathbb{Z}/m\mathbb{Z}$ such that... | https://arxiv.org/abs/2510.20167 | Academic Papers | svg |
8db1b59dd8ee4695890381939f55bcf726f873853696504c69f7abe5823e42a8 | 2026-01-07T00:00:00-05:00 | Heterochromatic two-arm probabilities for metric graph Gaussian free fields | arXiv:2510.20492v2 Announce Type: replace Abstract: For the Gaussian free field on the metric graph of $\mathbb{Z}^d$ ($d\ge 3$), we consider the heterochromatic two-arm probability, i.e., the probability that two points $v$ and $v'$ are contained in distinct clusters of opposite signs with diameter at least $N$. For a... | https://arxiv.org/abs/2510.20492 | Academic Papers | svg |
017c86601974026c78a59bf08e6c4cffae86dd7068441b8576b171a8579550c2 | 2026-01-07T00:00:00-05:00 | Separation and cut edge in macroscopic clusters for metric graph Gaussian free fields | arXiv:2510.20516v2 Announce Type: replace Abstract: We prove that for the Gaussian free field (GFF) on the metric graph of $\mathbb{Z}^d$ (for all $d\ge 3$ except the critical dimension $d_c=6$), with uniformly positive probability there exist two distinct sign clusters of diameter at least $cN$ within a box of size $N... | https://arxiv.org/abs/2510.20516 | Academic Papers | svg |
23b6fa82ad07a4237cfaa3be217448ccf96d9e7bbd383fe82a205419ea41c9fb | 2026-01-07T00:00:00-05:00 | On the gap between cluster dimensions of loop soups on $\mathbb{R}^3$ and the metric graph of $\mathbb{Z}^3$ | arXiv:2510.20526v2 Announce Type: replace Abstract: The question of understanding the scaling limit of metric graph critical loop soup clusters and its relation to loop soups in the continuum appears to be one of the subtle cases that reveal interesting new scenarios about scaling limits, with a mixture of macroscopic ... | https://arxiv.org/abs/2510.20526 | Academic Papers | svg |
a0a3498710275f703a6ddb303008267f3c3662afce0e606cc59893db9ec6a369 | 2026-01-07T00:00:00-05:00 | The power of trees | arXiv:2510.26419v2 Announce Type: replace Abstract: We give two consistent constructions of trees $T$ whose finite power $T^{n+1}$ is sharply different from $T^n$: 1. An $\aleph_1$-tree $T$ whose interval topology $X_T$ is perfectly normal, but $(X_T)^2$ is not even countably metacompact. 2. For an inaccessible $\kappa... | https://arxiv.org/abs/2510.26419 | Academic Papers | svg |
31a74710a24bb498af81298306caa0f29b23d51a1d916b0481887295c18613d9 | 2026-01-07T00:00:00-05:00 | Arithmetic Properties of Several Generalized-Constant Sequences, with Implications for $\Gamma^{\left(n\right)}\left(1\right)$ | arXiv:2511.01849v4 Announce Type: replace Abstract: Neither the Euler-Mascheroni constant, $\gamma=0.577215...$, nor the Euler-Gompertz constant, $\delta=0.596347...$, is currently known to be irrational. However, it has been proved that at least one of them is transcendental. The two constants are related by a well-kn... | https://arxiv.org/abs/2511.01849 | Academic Papers | svg |
36591f1ad2b508f1db56bae235f57e010602e606fa921a03ff90aca05601b983 | 2026-01-07T00:00:00-05:00 | Completeness conditions for spacetimes with low-regularity metrics | arXiv:2511.07867v2 Announce Type: replace Abstract: We extend Beem's three completeness notions -- finite compactness, timelike Cauchy completeness, and Condition A -- originally defined for spacetimes, to Lorentzian length spaces and study their relationships. We prove that finite compactness implies timelike Cauchy c... | https://arxiv.org/abs/2511.07867 | Academic Papers | svg |
db98b8cea3bec52421fb16b6b94600806a356b26fb68fdbeb9829a260ea9ac2d | 2026-01-07T00:00:00-05:00 | Weak optimal transport with moment constraints: constraint qualification, dual attainment and entropic regularization | arXiv:2511.16211v2 Announce Type: replace Abstract: We consider weak optimal problems (possibly entropically penalized) incorporating both soft and hard (including the case of the martingale condition) moment constraints. Even in the special case of the martingale optimal transport problem, existence of Lagrange multip... | https://arxiv.org/abs/2511.16211 | Academic Papers | svg |
8efcf4248bdbe11edc854c73543e52391b1e50ab51b9e13d75ea47de684d9671 | 2026-01-07T00:00:00-05:00 | Constancy of an Infinite Cyclotomic Product via Ramanujan Sums | arXiv:2511.16975v2 Announce Type: replace Abstract: We show that the infinite product defined by \[ P(z) = -\prod_{n=1}^{\infty} (\Phi_n(z))^{-1/n}, \] where \( \Phi_n(z) \) is the \( n \)-th cyclotomic polynomial, is constant inside the unit disk. The proof translates a result of Ramanujan on Ramanujan sums, equivalen... | https://arxiv.org/abs/2511.16975 | Academic Papers | svg |
17e8d4e3b4ed0785856d66e8be318fd5cdc39b14af9f554493c5b9fbdbc7ba99 | 2026-01-07T00:00:00-05:00 | Boundary regularity and a priori estimates for fractional equations on unbounded domains | arXiv:2511.17325v2 Announce Type: replace Abstract: In this paper, we study the boundary H\"older regularity for solutions to the fractional Dirichlet problem in unbounded domains with boundary \begin{equation*} \begin{cases} (-\Delta)^s u(x) = g(x),&\text{in } \Omega, u(x)=0, &\text{in } \Omega^c. \end{cases} \end{equ... | https://arxiv.org/abs/2511.17325 | Academic Papers | svg |
c802a2ac566453d587de87c2cc7014c4a1b6be66bdc7d4efffd4e3d13b98b86e | 2026-01-07T00:00:00-05:00 | More on the sum-product problem for integers with few prime factors | arXiv:2512.04931v2 Announce Type: replace Abstract: We show that if $A\subset \mathbb{Z}$ is a finite set of integers in which every integer is divisible by $O(1)$ many primes then \[\max(\lvert A+A\rvert,\lvert AA\rvert) \geq \lvert A\rvert^{12/7-o(1)}\] and, for any $m\geq 2$, \[\max(\lvert mA\rvert, \lvert A^{(m)}\r... | https://arxiv.org/abs/2512.04931 | Academic Papers | svg |
67b3d08608605eddb3c39ab0a0b0840091d1a78c0a05888b2d57296f79989a0a | 2026-01-07T00:00:00-05:00 | Singularity of the loops within a cable-graph loop-soup conditioned by its occupation time | arXiv:2512.05086v2 Announce Type: replace Abstract: In this note, we show the following feature of the relation between Brownian loop-soups on cable-graphs and their total occupation time-field $\Lambda$: When conditioned on $\Lambda$, the conditional law of individual loops becomes singular with respect to that of unc... | https://arxiv.org/abs/2512.05086 | Academic Papers | svg |
2dac483a32c9f34940d3c697b4fc28bff4a806b0cdaaa2124dfd68f563b5eeef | 2026-01-07T00:00:00-05:00 | Critical behaviour of the fully packed loop-$O(n)$ model on planar triangulations | arXiv:2512.05867v2 Announce Type: replace Abstract: We study the fully packed loop-$O(n)$ model on planar triangulations. This model is also bijectively equivalent to the Fortuin--Kasteleyn model of planar maps with parameter $q\in (0,4)$ at its self-dual point. These have been traditionally studied using either techni... | https://arxiv.org/abs/2512.05867 | Academic Papers | svg |
25bc565f681d6aab8abf01b5bc394bad6d1fcef49f48dd1b7e072248b5c74b94 | 2026-01-07T00:00:00-05:00 | Low-degree mod 2 cohomology of classifying spaces of $G_2$-gauge groups | arXiv:2512.12195v2 Announce Type: replace Abstract: Let $G$ be a simply connected compact simple Lie group and let $\mathcal{G}_k$ denote the gauge group of a principal $G$--bundle over $S^4$ with second Chern class $k\in \pi_4(BG)\cong \mathbb Z$. For $G=G_2$, the $p$--local homotopy types of the gauge groups have bee... | https://arxiv.org/abs/2512.12195 | Academic Papers | svg |
2b58382cc23672e899380aa52018b2dd8f23f931349e16f57663d88c0eb9c136 | 2026-01-07T00:00:00-05:00 | Determining subgroups via stationary measures | arXiv:2512.12966v2 Announce Type: replace Abstract: In this paper, we consider random walks on the isometry groups of general metric spaces. Under some mild conditions, we show that if two non-elementary random walks on a discrete subgroup of the isometry group have non-singular stationary measures, then subgroups gene... | https://arxiv.org/abs/2512.12966 | Academic Papers | svg |
4ae1a91aecb7725ffd96834bf35078b4866304679f6a90fecd661d889bc5fefd | 2026-01-07T00:00:00-05:00 | Asymptotics of the graph Laplace operator near an isolated singularity | arXiv:2512.13314v3 Announce Type: replace Abstract: In this paper, we investigate asymptotics of the continuous graph Laplace operator on a smooth Riemannian manifold $(M,g)$ admitting an isolated singularity $x$. We show that if the curvature function $\kappa$ doesn't grow too fast near $x$, then the graph Laplace ope... | https://arxiv.org/abs/2512.13314 | Academic Papers | svg |
7d921d3d03f8c1136a66d534704722a1b7f2d9503648da9077bf18eb8d12ab9d | 2026-01-07T00:00:00-05:00 | Graph Sensitivity under Join and Decomposition | arXiv:2512.19915v2 Announce Type: replace Abstract: The sensitivity, $\sigma(G)$, of a finite undirected simple graph $G$ is the smallest maximum degree of an induced subgraph on more than the maximum number of independent vertices. Call an indexed family of graphs $G_n$ with maximum degree $\Delta(G_n) \to \infty$ as ... | https://arxiv.org/abs/2512.19915 | Academic Papers | svg |
968c6a6e2cc9553971fe4b1d532c40a45a63e5dfce8017590aa680b23f30edb3 | 2026-01-07T00:00:00-05:00 | Regularization methods for solving hierarchical variational inequalities with complexity guarantees | arXiv:2512.20772v2 Announce Type: replace Abstract: We consider hierarchical variational inequality problems, or more generally, variational inequalities defined over the set of zeros of a monotone operator. This framework includes convex optimization over equilibrium constraints and equilibrium selection problems. In ... | https://arxiv.org/abs/2512.20772 | Academic Papers | svg |
96f87c9ba338ebe4350b0eb89d12dc6b8af776ce1b39da34aeed53b16d04ee70 | 2026-01-07T00:00:00-05:00 | Trisections and Lefschetz fibrations with $(-n)$-sections | arXiv:2512.21001v2 Announce Type: replace Abstract: Castro and Ozbagci constructed a trisection of a closed 4-manifold admitting a Lefschetz fibration with a $(-1)$-section such that the corresponding trisection diagram can be explicitly constructed from a monodromy of the Lefschetz fibration. In this paper, for a clos... | https://arxiv.org/abs/2512.21001 | Academic Papers | svg |
d6097e9e493669d079bef6b65f7f8f54b7cab3c7121b9faab3193a3e56acf90c | 2026-01-07T00:00:00-05:00 | Non-finite generatedness of the congruences defined by tropical varieties | arXiv:2512.21565v2 Announce Type: replace Abstract: In tropical geometry, there are several important classes of ideals and congruences such as tropical ideals, bend congruences, and the congruences of the form $\mathbf E(Z)$. Although they are analogues of the concept of ideals of rings, it is not well known whether t... | https://arxiv.org/abs/2512.21565 | Academic Papers | svg |
9ab58c0d95d59dba2ba026dd3b60d96f294a865990c409853ac87f7257d63083 | 2026-01-07T00:00:00-05:00 | MSO logic of the real order with the set quantifier ranging over Borel sets | arXiv:2512.23003v3 Announce Type: replace Abstract: A celebrated 1969 theorem of Michael Rabin is that the MSO theory of the real order where the monadic quantifier is allowed only to range over the sets of rational numbers, is decidable. In 1975 Saharon Shelah proved that if the monadic quantifier is allowed to range ... | https://arxiv.org/abs/2512.23003 | Academic Papers | svg |
4bc30543c81c2c5808310012c417526031844d245b18a32e249393e1c9b3997c | 2026-01-07T00:00:00-05:00 | Structure preservation and emergent dissipation in stochastic wave equations with transport noise | arXiv:2512.23309v2 Announce Type: replace Abstract: We study nonlinear wave equations perturbed by transport noise acting either on the displacement or on the velocity. Such noise models random advection and, under suitable scaling of space covariance, may generate an effective dissipative term. We establish well-posed... | https://arxiv.org/abs/2512.23309 | Academic Papers | svg |
2f95f08c951e7d123288bac3d4f5e3e05c6e4bbb642b1db2abf6ffe641bda8f3 | 2026-01-07T00:00:00-05:00 | The Lagrangian and symplectic structures of the Kuramoto oscillator model | arXiv:2601.00113v2 Announce Type: replace Abstract: Despite being under intense scrutiny for 50 years, the Kuramoto oscillator model has remained a quintessential representative of non-equilibrium phase transitions. One of the reasons for its enduring relevance is the apparent lack of an optimization formulation, due t... | https://arxiv.org/abs/2601.00113 | Academic Papers | svg |
0f859699c91211260041e4250f1102683b7b43116747081f052dea3a5dd38721 | 2026-01-07T00:00:00-05:00 | Bilinear forms with Kloosterman fractions and applications | arXiv:2601.00292v2 Announce Type: replace Abstract: We establish improved bounds for bilinear forms with Kloosterman fractions of the form ${\sum\sum}_{m,n} \alpha_m \beta_n e(a\overline{m}/(bn))$ with $M< n \le 2N$ and $(m,n)=1$. Our approach works directly with arbitrary coefficient sequences $(\alpha_m), (\beta_n) \... | https://arxiv.org/abs/2601.00292 | Academic Papers | svg |
9e3b4d790b01808115a54b0cd7087d463ca5f50b92792ccd24db4099d936caa0 | 2026-01-07T00:00:00-05:00 | Hadamard-type formulas for real eigenvalues of canonically symplectic operators | arXiv:2601.00520v2 Announce Type: replace Abstract: We give first-order asymptotic expansions for the resolvent and Hadamard-type formulas for the eigenvalue curves of one-parameter families of canonically symplectic operators. We allow for parameter dependence in the boundary conditions, bounded perturbations and trac... | https://arxiv.org/abs/2601.00520 | Academic Papers | svg |
927a748509a27d377b40b96896a1dcc1838698cf7f12b36bef48c06482192204 | 2026-01-07T00:00:00-05:00 | Study of Composition Operators in Certain Functional Spaces | arXiv:2601.00801v2 Announce Type: replace Abstract: In this thesis we study three problems. The first is the superposition of the operators and their proprities, such as boundedness,continuity,regularity and the inequalities of the norms of the composition of functions in some functional spaces. The second is to genera... | https://arxiv.org/abs/2601.00801 | Academic Papers | svg |
3403e4e7ab2790e0769c4d757afdfa7d3d7e1078c9d70043bb0cc3bc41bd2b2d | 2026-01-07T00:00:00-05:00 | The Maximum of the Volume of a Part of a Cevian Simplex | arXiv:2601.00876v2 Announce Type: replace Abstract: The cevians passing through a point in a simplex create a cevian simplex, which is divided by these cevians into smaller simplices. We consider the problem about the maximum of the ratio of the sum of the volumes of some of these smaller simplices by the volume of the... | https://arxiv.org/abs/2601.00876 | Academic Papers | svg |
dd715d14eb088e40151f43911cbeebb61a82972c303459b9da58efe6535d2e4d | 2026-01-07T00:00:00-05:00 | On the universal curve with unordered marked points in positive characteristic | arXiv:2601.01336v2 Announce Type: replace Abstract: We study the relative pro-$\ell$ and continuous relative completions of the algebraic fundamental groups of universal curves over the moduli stack of curves with unordered marked points in positive characteristic. Using specialization and homotopy exact sequences, we ... | https://arxiv.org/abs/2601.01336 | Academic Papers | svg |
7acffe08cf7847f779d94daf965bd43ab05e432c646063040fb7507d1f1e0de0 | 2026-01-07T00:00:00-05:00 | Iterating PP-packages without Choice: A Cohen symmetric seed and a localization framework | arXiv:2601.01855v2 Announce Type: replace Abstract: The Partition Principle $\mathsf{PP}$ asserts that whenever there is a surjection $A\twoheadrightarrow B$, there is an injection $B\hookrightarrow A$. Russell conjectured in 1906 that $\mathsf{PP}$ is equivalent to the Axiom of Choice $\mathsf{AC}$; while $\mathsf{AC}... | https://arxiv.org/abs/2601.01855 | Academic Papers | svg |
1c9ffa91d7bac26f160ac23fa2c69f155d37ab58f3eab1ac1f3634b560f57079 | 2026-01-07T00:00:00-05:00 | A Perturbed DCA for Computing d-Stationary Points of Nonsmooth DC Programs | arXiv:2601.02084v2 Announce Type: replace Abstract: This paper introduces an efficient perturbed difference-of-convex algorithm (pDCA) for computing d-stationary points of an important class of structured nonsmooth difference-of-convex problems. Compared to the principal algorithms introduced in [J.-S. Pang, M. Razaviy... | https://arxiv.org/abs/2601.02084 | Academic Papers | svg |
afe53a696e4e8a469f34f3a886e66f2b7d14b08dccb14c815dff074fd0f80b1f | 2026-01-07T00:00:00-05:00 | Square integrability of regular representations on reductive homogeneous spaces | arXiv:2601.02188v2 Announce Type: replace Abstract: Let $G$ be a real reductive Lie group and $H$ a reductive subgroup of $G$. Benoist-Kobayashi studied when $L^2(G/H)$ is a tempered representation of $G$ and in particular they gave a necessary and sufficient condition for the temperedness in terms of certain functions... | https://arxiv.org/abs/2601.02188 | Academic Papers | svg |
ab0cd21ad003cfa7cbd15306a8dee26c71d774cfafe421e1ce86cdd2ccf4ec67 | 2026-01-07T00:00:00-05:00 | Integrable systems on multiplicative quiver varieties from cyclic quivers | arXiv:2108.02496v3 Announce Type: replace-cross Abstract: We consider a class of complex manifolds constructed as multiplicative quiver varieties associated with a cyclic quiver extended by an arbitrary number of arrows starting at a new vertex. Such varieties admit a Poisson structure, which is obtained by quasi-Hamil... | https://arxiv.org/abs/2108.02496 | Academic Papers | svg |
77c06da0edae26a6f5232d5913fc236999a8ad78f998dc5fbb764e465888bfd9 | 2026-01-07T00:00:00-05:00 | Using prior information to boost power in correlation structure support recovery | arXiv:2111.11278v2 Announce Type: replace-cross Abstract: Hypothesis testing of structure in correlation and covariance matrices is of broad interest in many application areas. In high dimensions and/or small to moderate sample sizes, high error rates in testing is a substantial concern. This article focuses on increas... | https://arxiv.org/abs/2111.11278 | Academic Papers | svg |
070725a79b0b9eeeb1b271d3a4a355f309570692aa3232fc65f1c5aac276debd | 2026-01-07T00:00:00-05:00 | On the Structure of Wave Functions in Complex Chern-Simons Theory | arXiv:2312.00624v2 Announce Type: replace-cross Abstract: We study the structure of wave functions in complex Chern-Simons theory on the complement of a hyperbolic knot, emphasizing the similarities with the topological string/spectral theory correspondence. We first conjecture a hidden integrality structure in the hol... | https://arxiv.org/abs/2312.00624 | Academic Papers | svg |
6f8fa73484b7c87c18f41b7eead68f0e2da616496752a0aa0923c48283499ed2 | 2026-01-07T00:00:00-05:00 | Semiparametric fiducial inference for Cox models | arXiv:2404.18779v2 Announce Type: replace-cross Abstract: R. A. Fisher introduced the concept of fiducial as a potential replacement for the Bayesian posterior distribution in the 1930s. During the past century, fiducial approaches have been explored in various parametric and nonparametric settings. However, to the bes... | https://arxiv.org/abs/2404.18779 | Academic Papers | svg |
4efbf64cac263173b76e771473ba19c1d773af2bccc8bc144854ebaf91e12510 | 2026-01-07T00:00:00-05:00 | Bell-CHSH inequality and unitary transformations in Quantum Field Theory | arXiv:2412.03840v3 Announce Type: replace-cross Abstract: Unitary transformations are employed to enhance the violations of the Bell-CHSH inequality in relativistic Quantum Field Theory. The case of the scalar field in $1+1$ Minkowski space-time is scrutinized by relying on the Tomita-Takesaki modular theory. The examp... | https://arxiv.org/abs/2412.03840 | Academic Papers | svg |
e2be221752c2d7ba6af7c943991f8092083e09900a13f31f06ac5d830608af79 | 2026-01-07T00:00:00-05:00 | Robust Quantum Control for Bragg Pulse Design in Atom Interferometry | arXiv:2502.04618v3 Announce Type: replace-cross Abstract: We formulate a robust optimal control algorithm to synthesize minimum energy pulses that can transfer a cold atom system into various momentum states. The algorithm uses adaptive linearization of the evolution operator and sequential quadratic programming to ite... | https://arxiv.org/abs/2502.04618 | Academic Papers | svg |
939f58aa5056ca5175e31f4c8db395e1457fcb09117d7d991e66ab794bb8646e | 2026-01-07T00:00:00-05:00 | Shift orbifolds, decompactification limits, and lattices | arXiv:2502.18453v2 Announce Type: replace-cross Abstract: We describe the general shift orbifold of a Narain CFT and use this to investigate decompactification limits in the heterotic Narain moduli space. We also comment on higher rank theories and describe some applications to the CFT based on the Leech lattice and it... | https://arxiv.org/abs/2502.18453 | Academic Papers | svg |
4c08dce512be047038916cb9b08dd5697106c9fb3df7ac531ce1af7a3b70f28d | 2026-01-07T00:00:00-05:00 | Toward a Complexity Classification of High-Temperature Bosons: Computational Tractability and Power-Law Clustering | arXiv:2509.25572v2 Announce Type: replace-cross Abstract: Determining when quantum many-body systems admit simple, efficiently simulable structure is a central problem. High-temperature thermal states are a natural candidate for such simplicity, yet for bosons, the unbounded local Hilbert space and energy invalidate th... | https://arxiv.org/abs/2509.25572 | Academic Papers | svg |
66af70461a653db28c2c456955bbb6e1aefe8a1b28e926cb9625a49bd94191da | 2026-01-07T00:00:00-05:00 | A new super integrable hierarchy and a generalized super-AKNS hierarchy | arXiv:2509.25995v2 Announce Type: replace-cross Abstract: In this paper, we investigate a non-isospectral problem on the loop algebra of the Lie superalgebra osp(1,6), and construct an super integrable system using the supertrace identity. The resulting super integrable system can be reduced to the super-AKNS hierarchy... | https://arxiv.org/abs/2509.25995 | Academic Papers | svg |
4f77b41d0fcd3bb9fb39910493a4f668337147e147bc7f8692896ff8a11362bb | 2026-01-07T00:00:00-05:00 | Exact State Evolution and Energy Spectrum in Solvable Bosonic Models | arXiv:2510.20046v2 Announce Type: replace-cross Abstract: Solvable bosonic models provide a fundamental framework for describing light propagation in nonlinear media, including optical down-conversion processes that generate squeezed states of light and their higher-order generalizations. In quantum optics a central ob... | https://arxiv.org/abs/2510.20046 | Academic Papers | svg |
042b20960ae63d1e91f2191f3a2514e9444f851211696e944038d120dc2068de | 2026-01-07T00:00:00-05:00 | Boundary-driven quantum systems near the Zeno limit: steady states and long-time behavior | arXiv:2512.12825v2 Announce Type: replace-cross Abstract: We study composite open quantum systems with a finite-dimensional state space ${\mathcal H}_A\otimes {\mathcal H}_B$ governed by a Lindblad equation $\rho'(t) = {\mathcal L}_\gamma \rho(t)$ where ${\mathcal L}_\gamma\rho = -i[H,\rho] + \gamma {\mathcal D} \rho$,... | https://arxiv.org/abs/2512.12825 | Academic Papers | svg |
fdd9fbc00290319359f60896fa68dfb5e19892f729deb1aa73e4204de4c02112 | 2026-01-07T00:00:00-05:00 | When Indemnity Insurance Fails: Parametric Coverage under Binding Budget and Risk Constraints | arXiv:2512.21973v2 Announce Type: replace-cross Abstract: In high-risk environments, traditional indemnity insurance is often unaffordable or ineffective, despite its well-known optimality under expected utility. We compare excess-of-loss indemnity insurance with parametric insurance within a common mean-variance frame... | https://arxiv.org/abs/2512.21973 | Academic Papers | svg |
594f29c02323815e5bccca21f5874a25c008cd1b0a962ffbb3aae41de5521bc7 | 2026-01-07T00:00:00-05:00 | Exact inference via quasi-conjugacy in two-parameter Poisson-Dirichlet hidden Markov models | arXiv:2512.22098v2 Announce Type: replace-cross Abstract: We introduce a nonparametric model for time-evolving, unobserved probability distributions from discrete-time data consisting of unlabelled partitions. The latent process is a two-parameter Poisson-Dirichlet diffusion, and observations arise via exchangeable sam... | https://arxiv.org/abs/2512.22098 | Academic Papers | svg |
106658b423ef947ff93fdd47c6d66d2a578326ac9aa89a908408c1ee7c991359 | 2026-01-07T00:00:00-05:00 | A Novel Multiple Imputation Approach For Parameter Estimation in Observation-Driven Time Series Models With Missing Data | arXiv:2601.01259v2 Announce Type: replace-cross Abstract: Handling missing data in time series is a complex problem due to the presence of temporal dependence. General-purpose imputation methods, while widely used, often distort key statistical properties of the data, such as variance and dependence structure, leading ... | https://arxiv.org/abs/2601.01259 | Academic Papers | svg |
6dd476ed14c17543f5fb5a01e25ae7232540c61f0e2ddaf125128508c6b12eca | 2026-01-07T00:00:00-05:00 | Predictability of bursts of a recurrent nova using topological data analysis and machine learning | arXiv:2601.02403v1 Announce Type: new Abstract: RS Oph is a recurrent nova, a kind of cataclismic variable that shows bursts in a period approximately shorter than a century. Persistent homology, a technique from topological data analysis, studies the evolution of topological features of a simplicial complex composed o... | https://arxiv.org/abs/2601.02403 | Academic Papers | svg |
cb318910849980e5e9f9f881c66990e38ac62dee5e0979f612740054bcfc0edf | 2026-01-07T00:00:00-05:00 | Exactly solved model of a one dimensional self gravitating system | arXiv:2601.02423v1 Announce Type: new Abstract: A model one-dimensional self consistent steady state collisionless self-gravitating system in which all the particles have the same energy is presented. This has the remarkable property that the position and velocity of the particles orbiting in their own self consistent ... | https://arxiv.org/abs/2601.02423 | Academic Papers | svg |
8e85dbea1bff1db06d3ec656da17c35c66ccb27b33127536182184032eed3fdb | 2026-01-07T00:00:00-05:00 | Experiments in binary evolution | arXiv:2601.02448v1 Announce Type: new Abstract: The majority of stars more massive than the Sun is found in binary or multiple star systems and many of them will interact during their evolution. Specific interactions, where progenitors and post-mass transfer (MT) systems are clearly linked, can provide yet missing obse... | https://arxiv.org/abs/2601.02448 | Academic Papers | svg |
80e72f0b1648f065678b8d938a7b051175b2e2e15005958155a7b0cb1ba34cd7 | 2026-01-07T00:00:00-05:00 | Validation of Satellite Lifetime Predictions at Leonid Space | arXiv:2601.02453v1 Announce Type: new Abstract: We validate Leonid Space's satellite lifetime prediction pipeline through comprehensive backtesting against 934 non-maneuvering satellites that deorbited from LEO between 1961 and 2024. This represents the first large-scale validation of lifetime prediction tooling using ... | https://arxiv.org/abs/2601.02453 | Academic Papers | svg |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.