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650c7cda2d81187e6e724d2ae7a4a050362e8e0d5fbe51c8fedd27b24321010b | 2026-01-13T00:00:00-05:00 | Classification of single-bubble blow-up solutions for Calogero--Moser derivative nonlinear Schr\"odinger equation | arXiv:2601.07410v1 Announce Type: new Abstract: We study the Calogero--Moser derivative nonlinear Schr\"odinger equation (CM-DNLS), a mass-critical and completely integrable dispersive model. Recent works established finite-time blow-up constructions and soliton resolution, describing the asymptotic behaviors of blow-u... | https://arxiv.org/abs/2601.07410 | Academic Papers | svg |
8badc34980695207f86612577e116d7efce8e3d601bbd676806c082d26eaa541 | 2026-01-13T00:00:00-05:00 | Critical points of solutions of elliptic equations in divergence form in planar non simply connected domains with smooth or nonsmooth boundary | arXiv:2601.07412v1 Announce Type: new Abstract: We study the critical points of the solution of second elliptic equations in divergence and diagonal form with a bounded and positive definite coefficient, under the assumption that the statement of the Hopf lemma holds (sign assumptions on its normal derivatives) along t... | https://arxiv.org/abs/2601.07412 | Academic Papers | svg |
9eaff1f23e7af0341dda75fb8863d0733f13b6ab8577395255ce266554681288 | 2026-01-13T00:00:00-05:00 | Resolution of Erd\H{o}s Problem #728: a writeup of Aristotle's Lean proof | arXiv:2601.07421v1 Announce Type: new Abstract: We provide a writeup of a resolution of Erd\H{o}s Problem #728; this is the first Erdos problem (a problem proposed by Paul Erd\H{o}s which has been collected in the Erdos Problems website) regarded as fully resolved autonomously by an AI system. The system in question is... | https://arxiv.org/abs/2601.07421 | Academic Papers | svg |
2f00fcf9bb81c68879d9abcdf6950be6104f6d3402f8e66a79222e0f63d36f89 | 2026-01-13T00:00:00-05:00 | Log-concavity of solutions of parabolic equations related to the Ornstein-Uhlenbeck operator and applications | arXiv:2601.07426v1 Announce Type: new Abstract: In this paper, we investigate the log-concavity of the kernel for the parabolic Ornstein-Uhlenbeck operator in a bounded, convex domain. Consequently, we get the preservation of the log-concavity of the initial datum by the related flow. As an application, we give another... | https://arxiv.org/abs/2601.07426 | Academic Papers | svg |
a5de3ebb41f2b302ea24e806cae9245f8ce248be5bc9ca2adfeffc72f3edbb22 | 2026-01-13T00:00:00-05:00 | Cardinal invariants of idealized Miller null sets | arXiv:2601.07428v1 Announce Type: new Abstract: This paper provides an extensive study of the $\mathscr{I}$-Miller null ideals $M_\mathscr{I}$, $\sigma$-ideals on the Baire space parametrized by ideals $\mathscr{I}$ on countable sets. These $\sigma$-ideals are associated to the idealized versions of Miller forcing in t... | https://arxiv.org/abs/2601.07428 | Academic Papers | svg |
b87df97a2f10a7e5f82a3bb0ccd85531932c5d0167fcd41401a3d3238f56cec4 | 2026-01-13T00:00:00-05:00 | Design of Optimal Controls in Acausal LQG Problems | arXiv:2601.07433v1 Announce Type: new Abstract: In control theory, a system which has output depending only on the present and past values of the input is said to be causal (or nonanticipative). Respectively, a system is acausal (or non-causal) if its output depends on future inputs as well. Overall majority of literat... | https://arxiv.org/abs/2601.07433 | Academic Papers | svg |
1f2cd76d2ab4a5124e5529f47d4c039c55cabd8931368dd87ae048a851a91cba | 2026-01-13T00:00:00-05:00 | On the weak coupling limit of the periodic quantum Lorentz gas | arXiv:2601.07453v1 Announce Type: new Abstract: We report partial progress on the weak coupling limit behavior of observables for the periodic quantum Lorentz gas. Our results indicate that for certain observables, the limit behavior is trivial and can be described via a transport equation, while for other observables,... | https://arxiv.org/abs/2601.07453 | Academic Papers | svg |
aa568802830b143bff0d3a00012d9d5f6733fffde1a4c0caf15b4a24c1aeb38a | 2026-01-13T00:00:00-05:00 | Frobenius Number Of Almost Symmetric Numerical Generalized Almost Arithmetic Semigroups | arXiv:2601.07467v1 Announce Type: new Abstract: Let a, k, h, c be positive integers and d a non zero integer. Recall that a numerical generalized almost arithmetic semigroup S is a semigroup minimally generated by relatively prime positive integers a, ha + d, ha + 2d, . . . , ha + kd, c, that is its embedding dimension... | https://arxiv.org/abs/2601.07467 | Academic Papers | svg |
e81618860cad3050a2828161e21042c0ba5ecc865e2ea07105c991ba3903dc95 | 2026-01-13T00:00:00-05:00 | Global renormalized solutions to Boltzmann systems modeling mixture gases of monatomic and polyatomic species | arXiv:2601.07480v1 Announce Type: new Abstract: Inspired by DiPerna-Lions' work \cite{Diperna-Lions}, we study the renormalized solutions to the large-data Cauchy problem of the Boltzmann systems modeling mixture gases of monatomic and polyatomic species, in which the distribution functions $f_\alpha$ characterized the... | https://arxiv.org/abs/2601.07480 | Academic Papers | svg |
eb17c955cdb766c53a98ba64fda84abd2dca629d056e299b54e8924e9488fa18 | 2026-01-13T00:00:00-05:00 | Online Markov Decision Processes with Terminal Law Constraints | arXiv:2601.07492v1 Announce Type: new Abstract: Traditional reinforcement learning usually assumes either episodic interactions with resets or continuous operation to minimize average or cumulative loss. While episodic settings have many theoretical results, resets are often unrealistic in practice. The infinite-horizo... | https://arxiv.org/abs/2601.07492 | Academic Papers | svg |
3269005d6e9d9b125bce2d81c1268b71e94653eb01d496c73fe634aab85cc01e | 2026-01-13T00:00:00-05:00 | On eigenvalues of the Landau Hamiltonian with a periodic electric potential | arXiv:2601.07495v1 Announce Type: new Abstract: We consider the Landau Hamiltonian $\widehat H_B+V$ on $L^2({\mathbb R}^2)$ with a periodic electric potential $V$. For every $m\in {\mathbb N}$ we prove that there exist nonconstant periodic electric potentials $V\in C^{\infty }({\mathbb R}^2;{\mathbb R})$ with zero mean... | https://arxiv.org/abs/2601.07495 | Academic Papers | svg |
f7dc27ebafeec883675128c32eaaa07b1721f43ade3886c0ca7e2a8c8de232bc | 2026-01-13T00:00:00-05:00 | Phase-field approximation of sharp-interface energies accounting for lattice symmetry | arXiv:2601.07497v1 Announce Type: new Abstract: We present a phase-field approximation of sharp-interface energies defined on partitions, designed for modeling grain boundaries in polycrystals. The independent variable takes values in the orthogonal group $\mathrm{O}(d)$ modulo a lattice point group $\mathcal{G}$, refl... | https://arxiv.org/abs/2601.07497 | Academic Papers | svg |
d37013fb3c7437f2b7d143fe8b3582ff8be726b0d82681ac5f7501a2bebebc4b | 2026-01-13T00:00:00-05:00 | On Limiting Behaviour of Moves in Multidimensional Elephant Random Walk with Stops | arXiv:2601.07502v1 Announce Type: new Abstract: In this paper, we discuss the number of moves in multidimensional elephant random walk with stops (MERWS). We obtain the conditional mean increments of the number of moves. Using this conditional result, a recursive relation for the expected number of moves of MERWS is de... | https://arxiv.org/abs/2601.07502 | Academic Papers | svg |
39c8ff3db37900da2e82c291a747eec54be3c1b6f13f4d8b941ddf968894b612 | 2026-01-13T00:00:00-05:00 | Gold standard process Markovian poisoning: a semiparametric approach | arXiv:2601.07503v1 Announce Type: new Abstract: We consider in this paper a stochastic process that mixes in time, according to a nonobserved stationary Markov selection process, two separate sources of randomness: i) a stationary process which distribution is accessible (gold standard); ii) a pure i.i.d. sequence whic... | https://arxiv.org/abs/2601.07503 | Academic Papers | svg |
f82efa0d15a774118445bd2137ea8ac3d9e61cd01627f9c0f1c27c9af7d32323 | 2026-01-13T00:00:00-05:00 | A categorical perspective on extended metric-topological spaces | arXiv:2601.07505v1 Announce Type: new Abstract: Motivated by the analysis and geometry of metric-measure structures in infinite dimensions, we study the category of extended metric-topological spaces, along with many of its distinguished subcategories (such as the one of compact spaces). One of the main achievements is... | https://arxiv.org/abs/2601.07505 | Academic Papers | svg |
9f12ddef10b5605711fde24d0df1e5e43ee4c7bc39d825b97cf6ac389be27359 | 2026-01-13T00:00:00-05:00 | Dually cone-boundedness of a set and applications | arXiv:2601.07517v1 Announce Type: new Abstract: We introduce and study a generalized concept of boundedness of a subset of a normed vector space with respect to a cone, which is defined as lower boundedness of the images of the underlying set through all the positive functionals of the cone. We show that this is a weak... | https://arxiv.org/abs/2601.07517 | Academic Papers | svg |
1c96f039b6249a96fbd9f0016283bb8f3eb92e9a31b533b8387f87bd4122c3d9 | 2026-01-13T00:00:00-05:00 | Factoriality and Class Groups of Upper Cluster Algebras and Finite Laurent Intersection Rings: A Computational Approach | arXiv:2601.07520v1 Announce Type: new Abstract: We study factoriality and the class groups of locally acyclic cluster algebras. To do so, we introduce a new class of rings called finite Laurent intersection rings (FLIRs), which includes locally acyclic cluster algebras, full-rank upper cluster algebras, and certain gen... | https://arxiv.org/abs/2601.07520 | Academic Papers | svg |
ed57019b7c631a6b4e4f919b744814eabda1aa5a6d6c2d09dda2f8795b318b12 | 2026-01-13T00:00:00-05:00 | On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' | arXiv:2601.07521v1 Announce Type: new Abstract: We study a critical problem for an operator of mixed order obtained by the superposition of a Laplacian with a fractional Laplacian. The main novelty is that we consider a mixed operator of the form $-\Delta- \gamma(-\Delta)^s$, namely we suppose that the fractional Lapla... | https://arxiv.org/abs/2601.07521 | Academic Papers | svg |
de9a192f7118ab7187ca3207438e723211ee7950a97c69d8d521ff5f78bec603 | 2026-01-13T00:00:00-05:00 | Non-commutative cluster Lagrangians | arXiv:2601.07538v1 Announce Type: new Abstract: The space Loc(m,S) of rank m flat bundles on a closed surface S is K_2-symplectic. A threefold M bounding S gives rise a K_2-Lagrangian in Loc(m,S) given by the flat bundles on S extending to M. We generalize this, replacing the zero section in the cotangent bundle to M b... | https://arxiv.org/abs/2601.07538 | Academic Papers | svg |
d7922a6bdd5b7e11e6aff59b967ff5affe865abb3e19b561f0d5c1ef496983af | 2026-01-13T00:00:00-05:00 | The holonomy group of a locally symmetric space | arXiv:2601.07541v1 Announce Type: new Abstract: We show that the holonomy group of a connected Riemannian locally symmetric space (not necessarily complete) without local flat factor is compact and has finite index in its normalizer in the orthogonal group. | https://arxiv.org/abs/2601.07541 | Academic Papers | svg |
4896a6d1161d324dcaf83a9915a3a2855a2f6e3434ac140288d286d39c3f2191 | 2026-01-13T00:00:00-05:00 | Enumeration of weighted plane trees by a permutation model | arXiv:2601.07544v1 Announce Type: new Abstract: This work addresses an enumeration problem on weighted bi-colored plane trees with prescribed vertex data, with all vertices labeled distinctly. We give a bijection proof of the enumeration formula originally due to Kochetkov, hence affirmatively answer a question of Adri... | https://arxiv.org/abs/2601.07544 | Academic Papers | svg |
aa8d7de8fb4cd50068e3ffa8cb91d433cffb856ab11e8c6b74271d850fd34d2a | 2026-01-13T00:00:00-05:00 | $A_3$-formality for Demushkin groups at odd primes | arXiv:2601.07551v1 Announce Type: new Abstract: We study a weak form of formality for differential graded algebras, called $A_3$-formality, for the cohomology of pro-p Demushkin groups at odd primes p. We show that the differential graded $\mathbb{F}_p$-algebras of continuous cochains of Demushkin groups with q-invaria... | https://arxiv.org/abs/2601.07551 | Academic Papers | svg |
12f79ad36f5aea7f95777cecf2efd9039aa5bbdb6207ffc2ac382a4cb8ecb474 | 2026-01-13T00:00:00-05:00 | An introduction to Coxeter polyhedra | arXiv:2601.07552v1 Announce Type: new Abstract: This paper is an introduction to Coxeter polyhedra in spherical, Euclidean, and hyperbolic geometries. It consists of essentially two parts that could be read independently. In the first we introduce non-obtuse polyhedra in the spherical, Euclidean, and hyperbolic spaces,... | https://arxiv.org/abs/2601.07552 | Academic Papers | svg |
f98e03ee7a251902ddbbffc4a0e66360092a4a030ca3e3318080ea77d045117c | 2026-01-13T00:00:00-05:00 | Dynamics of the translation semigroup on directed metric trees | arXiv:2601.07561v1 Announce Type: new Abstract: The dynamics of the left translation semigroup $\{T_t\}_{t \geq 0}$ on weighted $L^p$ spaces over a directed metric tree $L(G)$ is investigated. Necessary and sufficient conditions on the weight family $\rho$ for the strong continuity of the semigroup are provided. Furthe... | https://arxiv.org/abs/2601.07561 | Academic Papers | svg |
457c993200e1bd1785d126df7276d72ee411cf08c111d208c0d456f3e6802ca8 | 2026-01-13T00:00:00-05:00 | Inhomogeneous almost symmetric submanifolds | arXiv:2601.07564v1 Announce Type: new Abstract: We completely describe inhomogeneous properly embedded almost symmetric submanifolds of Euclidean space as certain unions of parallel symmetric submanifolds of the ambient Euclidean space. | https://arxiv.org/abs/2601.07564 | Academic Papers | svg |
de87f50c2116c2d333b13461ac62b31ff21d14da0eb87ce1ac998ff225dd5f6e | 2026-01-13T00:00:00-05:00 | Low-like basis theorems for Ramsey's theorem for pairs in first-order arithmetic | arXiv:2601.07569v1 Announce Type: new Abstract: We construct an $\ll^2$-solution (also known as a weakly low solution) to ${\mathrm{D}^2}$ within ${\mathrm{B}\Sigma^0_{3}}$ and prove the $\ll^2$-basis theorem for $\mathrm{RT}^2$ over ${\mathrm{B}\Sigma^0_{3}}$. The $\ll^2$-basis theorem is a variant of the low basis th... | https://arxiv.org/abs/2601.07569 | Academic Papers | svg |
92b4be620a0c372f1bc6cad8473036f6218d3f6d67b73102bb066a2de660ee93 | 2026-01-13T00:00:00-05:00 | Exact Fell bundles with the approximation property over inverse semigroups | arXiv:2601.07572v1 Announce Type: new Abstract: We prove that the reduced cross-sectional algebra of a Fell bundle with the approximation property over an inverse semigroup is exact if and only if the unit fiber of the Fell bundle is exact. This generalizes a recent result of the first-named author for actions of secon... | https://arxiv.org/abs/2601.07572 | Academic Papers | svg |
d0bfbc403b5351c251d657e7e4b584b2f252c897be4306a68caff3a590d22b85 | 2026-01-13T00:00:00-05:00 | The random stable roommates problem typically has no solution | arXiv:2601.07612v1 Announce Type: new Abstract: Assume that $n = 2k$ potential roommates each have an ordered preference of the $n-1$ others. A stable matching is a perfect matching of the $n$ roommates in which no two unmatched people prefer each other to their matched partners. In their seminal 1962 stable marriage p... | https://arxiv.org/abs/2601.07612 | Academic Papers | svg |
eb4a4286dd6a61c5dfd44778da7c95550b1af16d369f413f9c020cee90c21ce9 | 2026-01-13T00:00:00-05:00 | Preservation of some topological properties under forcing | arXiv:2601.07624v1 Announce Type: new Abstract: We add to the theory of preservation of topological properties under forcing. In particular, we answer a question of Gilton and Holshouser in a strong sense, showing that if player II has a winning strategy in the strong countable fan tightness game of a space at a point,... | https://arxiv.org/abs/2601.07624 | Academic Papers | svg |
935b761fc5ff4127d67a022896e77a5514fdbf6a29c967e4b675985bcecfe081 | 2026-01-13T00:00:00-05:00 | Rotation of a polytope in another one | arXiv:2601.07627v1 Announce Type: new Abstract: We are interested in the naive problem whether we can move a solid object in a solid box or not. We restrict move to rotation. In the case we can, the centre and the ``direction'' of rotation may be restricted. Simplifying, we consider possibility of rotation of a polytop... | https://arxiv.org/abs/2601.07627 | Academic Papers | svg |
d9ca08c78a18333481c72e49e95a7ad4b67efeff4c9a12d3744d26b8e6486f03 | 2026-01-13T00:00:00-05:00 | Beyond Single-GPU: Scaling PDLP to Distributed Multi-GPU Systems | arXiv:2601.07628v1 Announce Type: new Abstract: In this work, we present a distributed implementation of the Primal-Dual Hybrid Gradient (PDHG) algorithm for solving massive-scale linear programming (LP) problems. Although PDHG-based solvers have shown strong performance on single-node GPU architectures, their applicab... | https://arxiv.org/abs/2601.07628 | Academic Papers | svg |
c273999376c85c8f8f939572153064f8ffbd13033fa0945b2a5afd15efca64d2 | 2026-01-13T00:00:00-05:00 | Pluripotential theory on algebraic curves | arXiv:2601.07639v1 Announce Type: new Abstract: In previous works, the second author defined directional Robin constants associated to a compact, nonpolar subset $K$ of an algebraic curve $A$ in $\mathbb{C}^N$ and related these to a natural class of Chebyshev constants for $K$. We define a second class of Chebyshev con... | https://arxiv.org/abs/2601.07639 | Academic Papers | svg |
ef30a19cb3494f36f3c2d5ebb4f515a3e600c760e298ff3a26a6bea21864258c | 2026-01-13T00:00:00-05:00 | A new family of hyperbolic slits in the Gabor frame set of B-spline generators | arXiv:2601.07642v1 Announce Type: new Abstract: We exhibit a new infinite family of hyperbolic curves in the complement of the frame set of Gabor systems with B-spline generators. The proof technique is a combination of an approach by Gr\"ochenig [Partitions of unity and new obstructions for Gabor frames, arXiv:1507.08... | https://arxiv.org/abs/2601.07642 | Academic Papers | svg |
fc55ada0715eb738e79a6f4de0b34c241854c110132af0c777943e5f481a3568 | 2026-01-13T00:00:00-05:00 | On the number of antichains in $\{0,1,2\}^n$ | arXiv:2601.07650v1 Announce Type: new Abstract: We provide precise asymptotics for the number of antichains in the poset $\{0,1,2\}^n$, answering a question of Sapozhenko. Finding improved estimates for this number was also a problem suggested by Noel, Scott, and Sudakov, who obtained asymptotics for the logarithm of t... | https://arxiv.org/abs/2601.07650 | Academic Papers | svg |
b26142a4c924fcd8ef5e47e93306d43ee8c002be4eabdca5b3eb8bd7e55d0ceb | 2026-01-13T00:00:00-05:00 | To report or not to report: Optimal claim reporting in a bonus-malus system | arXiv:2601.07655v1 Announce Type: new Abstract: We study an optimal claim reporting problem in a bonus-malus setting. We assume, that the insurance contract consists of two regimes, where reporting a claim leads to a transition to a higher-premium regime, whereas remaining claim-free for a prespecified time period resu... | https://arxiv.org/abs/2601.07655 | Academic Papers | svg |
9c5e951b2bdc0826270920dc498df513c8f1497ca8d6aa70e14cf68c848d5144 | 2026-01-13T00:00:00-05:00 | Geometry of low nonnegative rank matrix completion | arXiv:2601.07658v1 Announce Type: new Abstract: We study completion of partial matrices with nonnegative entries to matrices of nonnegative rank at most $r$ for some $r \in \mathbb{N}$. Most of our results are for $r \leq 3$. We show that a partial matrix with nonnegative entries has a nonnegative rank-1 completion if ... | https://arxiv.org/abs/2601.07658 | Academic Papers | svg |
2c32d480fa868d049bb444d11d01a0b8b7fdbc3255cd95145e3d971d29a2e9fc | 2026-01-13T00:00:00-05:00 | Coupled continuity equations for constant scalar curvature K\"ahler metrics | arXiv:2601.07677v1 Announce Type: new Abstract: Inspired by a parabolic system of Li-Yuan-Zhang and the continuity equation of La Nave-Tian, we study a system of elliptic equations for a K\"ahler metric $\omega$ and a closed $(1, 1)$-form $\alpha$. Assuming a uniform estimate for $\omega$, we prove higher order estimat... | https://arxiv.org/abs/2601.07677 | Academic Papers | svg |
cd55916293bfbf5cdd974971a588c55d04dec6b5e18731718c4b569145bf7723 | 2026-01-13T00:00:00-05:00 | Cross-intersecting families with covering number constraints | arXiv:2601.07679v1 Announce Type: new Abstract: Two families $\mathcal{F}$ and $\mathcal{G}$ are cross-intersecting if every set in $\mathcal{F}$ intersects every set in $\mathcal{G}$. The covering number $\tau(\mathcal{F})$ of a family $\mathcal{F}$ is the minimum size of a set that intersects every member of $\mathca... | https://arxiv.org/abs/2601.07679 | Academic Papers | svg |
758b26505b19d9a34e4f8d05f78208adf23b8fb224a2c2431a86def50e91cb4e | 2026-01-13T00:00:00-05:00 | Rigidity of the escaping set of polynomial automorphisms of $\mathbb{C}^2$ | arXiv:2601.07681v1 Announce Type: new Abstract: Let $H$ be a polynomial automorphism of $\mathbb{C}^2$ of positive entropy and degree $d \ge 2$. We prove that the escaping set $U^+$ (or equivalently, the non-escaping set $K^+$), of $H$ is rigid under the action of holomorphic automorphisms of $\mathbb{C}^2$. Specifical... | https://arxiv.org/abs/2601.07681 | Academic Papers | svg |
27b38515c1e4016f2fd62da52c740722c3f42f9c34967bca95038b759b1e2b11 | 2026-01-13T00:00:00-05:00 | Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid | arXiv:2601.07697v1 Announce Type: new Abstract: The cave polynomial of a polymatroid was recently introduced and used to study the syzygies of polymatroidal ideals. We study the combinatorial relationships between three formulas for the cave polynomial. As an application, we interpret the Snapper polynomial in terms of... | https://arxiv.org/abs/2601.07697 | Academic Papers | svg |
6bde888d0484e1dab82ca5ea20e57420b92ee55715b3908677c55dd1035ffbae | 2026-01-13T00:00:00-05:00 | Asymptotic-M\"obius maps | arXiv:2601.07702v1 Announce Type: new Abstract: We introduce asymptotic-M\"obius (AM) maps, a large-scale analogue of quasi-M\"obius maps tailored to geometric group theory. AM-maps capture coarse cross-ratio behavior for configurations of points that lie far apart, providing a notion of "conformality at infinity" that... | https://arxiv.org/abs/2601.07702 | Academic Papers | svg |
511b7708f25f2342772d8caf8e2646b4884e454b1efe30fc27183c54ddac7215 | 2026-01-13T00:00:00-05:00 | Topology of domains of discontinuity for Anosov representations via circle actions | arXiv:2601.07705v1 Announce Type: new Abstract: Among the remarkable properties shared with convex cocompact representations, Anosov representations admit cocompact domains of discontinuity in flag varieties. For representations produced by embedding Fuchsian representations into higher rank Lie groups, these domains a... | https://arxiv.org/abs/2601.07705 | Academic Papers | svg |
76136d5cdecbf9d89ffaddabe3f8cd9369d1473e63ac7cb80bd8ea7b5aa78b99 | 2026-01-13T00:00:00-05:00 | A note on extensions of $p$-adic representations of $\mathrm{GL}_2(\mathbb{Q}_p)$ | arXiv:2601.07707v1 Announce Type: new Abstract: We compute extension groups in the category of duals of $p$-adic Banach space representations of $\mathrm{GL}_2(\mathbb{Q}_p)$. Focusing on representations arising from the $p$-adic local Langlands correspondence for generic Galois representations, we classify these exten... | https://arxiv.org/abs/2601.07707 | Academic Papers | svg |
9dc572d0177b2bfd13defde43a7f3e68c1ad2e59937c400b4004c46bef34fa11 | 2026-01-13T00:00:00-05:00 | A note on somewhere positive loops of contactomorphisms | arXiv:2601.07714v1 Announce Type: new Abstract: In this note, we consider contractible loops of contactomorphisms that are positive over some non-empty closed subset of a contact manifold. Such closed subsets are called immaterial. We argue that the complement of a Reeb-invariant immaterial subset can be seen as big in... | https://arxiv.org/abs/2601.07714 | Academic Papers | svg |
61f7b4b08b5cac2a8cbfa8755efa0279f7120e02c1d17c1a9ea68a6d43970296 | 2026-01-13T00:00:00-05:00 | Principal bundles on toroidal compactifications of integral canonical models of abelian-type Shimura varieties | arXiv:2601.07720v1 Announce Type: new Abstract: In this paper, we construct canonical extensions of principal $\mathcal{G}^c$- (and $M^c$-)bundles on toroidal compactifications of integral canonical models of abelian-type Shimura varieties with hyperspecial levels. | https://arxiv.org/abs/2601.07720 | Academic Papers | svg |
3884c6fd02f64c34541000daca57eaf98c88fc7b5fceadb46f49a817af49e96f | 2026-01-13T00:00:00-05:00 | Semisimple algebraic groups over real closed fields | arXiv:2601.07732v1 Announce Type: new Abstract: We give a self-contained introduction to linear algebraic and semialgebraic groups over real closed fields, and we generalize several key results about semisimple Lie groups to algebraic and semialgebraic groups over real closed fields. We prove that a torus in a semisimp... | https://arxiv.org/abs/2601.07732 | Academic Papers | svg |
d5d65165360cbf90fd30f2247d8e8617b761773d7693ba0eff7263fee2e865ab | 2026-01-13T00:00:00-05:00 | Backward Reconstruction of the Chafee--Infante Equation via Physics-Informed WGAN-GP | arXiv:2601.07733v1 Announce Type: new Abstract: We present a physics-informed Wasserstein GAN with gradient penalty (WGAN-GP) for solving the inverse Chafee--Infante problem on two-dimensional domains with Dirichlet boundary conditions. The objective is to reconstruct an unknown initial condition from a near-equilibriu... | https://arxiv.org/abs/2601.07733 | Academic Papers | svg |
d77432b462a149716bd37d31b8d01ba7e27511106781be31821b09be08dd5dd9 | 2026-01-13T00:00:00-05:00 | Anticoncentration of random spanning trees in almost regular graphs | arXiv:2601.07740v1 Announce Type: new Abstract: The celebrated formula of Otter \emph{[Ann. of Math. (2) 49 (1948), 583--599]} asserts that the complete graph contains exponentially many non-isomorphic spanning trees. In this paper, we show that every connected almost regular graph with sufficiently large degree alread... | https://arxiv.org/abs/2601.07740 | Academic Papers | svg |
a74a2885f52b1672bc5fa50c0bd425ce05022b73eb89315a04a35e8b30cad5a6 | 2026-01-13T00:00:00-05:00 | Subprincipal Control of Pseudospectral Quasimodes, II | arXiv:2601.07743v1 Announce Type: new Abstract: In this paper, we continue the analysis of the effects of semiclassical sub principal controlled quasimodes, approximate solutions to P(h)u(h,b), depending on the subprincipal symbol b, which can give spectral insta bility (pseudospectrum). We consider a pseudodifferentia... | https://arxiv.org/abs/2601.07743 | Academic Papers | svg |
c19f1bf820de9c49d792a5317cbf0e1040980633b7de81dd3b889c972b05e909 | 2026-01-13T00:00:00-05:00 | MinDist is less than 7 | arXiv:2601.07746v1 Announce Type: new Abstract: The metric MinDist, introduced recently to quantify the distance of an arbitrary Rummy hand from a valid declaration, plays a central role in algorithmic hand evaluation and optimal play. Existing results show that the MinDist of any $13$-card Rummy hand from a single dec... | https://arxiv.org/abs/2601.07746 | Academic Papers | svg |
928a8896d905c9d264bd8fc52dd9fa7a70adcf07cc6ee154402719f6b5003adf | 2026-01-13T00:00:00-05:00 | Monotonicity and a Taylor approximation theorem for transseries | arXiv:2601.07747v1 Announce Type: new Abstract: We show that the composition of omega-series by surreal numbers, or more generally by elements of any confluent field of transseries, is monotonic in its second argument. In particular, omega-series and LE-series interpreted as functions on positive infinite omega-series,... | https://arxiv.org/abs/2601.07747 | Academic Papers | svg |
9aa74245d834e189666c6a6d6ce887c25d0bfbb51eea140f864636cbb7904229 | 2026-01-13T00:00:00-05:00 | Central polynomials of minimal degree for matrices | arXiv:2601.07750v1 Announce Type: new Abstract: Formanek made the conjecture that the minimal degree of the central polynomials for the $n\times n$ matrix algebra over a field of characteristic 0 is $(n^2+3n-2)/2$ and this is true for $n\leq 3$. For $n=4$ there are examples of central polynomials of degree $13=(4^2+3\c... | https://arxiv.org/abs/2601.07750 | Academic Papers | svg |
b81cc18a7f5c1a10281306c063ab9fee60876631c532cb73ee791be1285f4fab | 2026-01-13T00:00:00-05:00 | Real critical points of $T$-polynomials that are sums of squared monomials and topology of $T$-hypersurfaces | arXiv:2601.07751v1 Announce Type: new Abstract: We study the topology of the real algebraic hypersurfaces in $\mathbb{P}^n$ that can be constructed via combinatorial patchworking using triangulations that are dilations by two of other triangulations. By examining the real critical points of the polynomials that define ... | https://arxiv.org/abs/2601.07751 | Academic Papers | svg |
899d2c5d2a2d9af35e7aa5f10c6e40fac48e50c6b59a70651375c61257223bde | 2026-01-13T00:00:00-05:00 | The value of random zero-sum games | arXiv:2601.07759v1 Announce Type: new Abstract: We study the value of a two-player zero-sum game on a random matrix $M\in \mathbb{R}^{n\times m}$, defined by $v(M) = \min_{x\in\Delta_n}\max_{y\in \Delta_m}x^T M y$. In the setting where $n=m$ and $M$ has i.i.d. standard Gaussian entries, we prove that the standard devia... | https://arxiv.org/abs/2601.07759 | Academic Papers | svg |
e8196daa31de3c23f87d6b6cae5ebcea60f923bb36d542e2e54a47d29d193175 | 2026-01-13T00:00:00-05:00 | Comparing three learn-then-test paradigms in a multivariate normal means problem | arXiv:2601.07764v1 Announce Type: new Abstract: Many modern procedures use the data to learn a structure and then leverage it to test many hypotheses. If the entire data is used at both stages, analytical or computational corrections for selection bias are required to ensure validity (post-learning adjustment). Alterna... | https://arxiv.org/abs/2601.07764 | Academic Papers | svg |
c6cdcb8b9c9c54096b2b03a33dd6a4c902b16d631989fe98787cd43c07ec022a | 2026-01-13T00:00:00-05:00 | On the well-posedness of the initial value problem for the MMT model | arXiv:2601.07771v1 Announce Type: new Abstract: This work investigates the initial value problem (IVP) for the two-parameter family of dispersive wave equations known as the Majda-McLaughlin-Tabak (MMT) model, which arises in the weak turbulence theory of random waves. The MMT model can be viewed as a derivative nonlin... | https://arxiv.org/abs/2601.07771 | Academic Papers | svg |
415323e18d02c2b7179e3285cf8bbdc264525454097a75e89c5358b87c0ec593 | 2026-01-13T00:00:00-05:00 | On wall-crossing coordinates in Cerf theory | arXiv:2601.07776v1 Announce Type: new Abstract: We relate Bruhat numbers in real Morse theory to cluster variables in braid varieties. This provides instances of wall-crossing coordinates in the study of Cerf diagrams. | https://arxiv.org/abs/2601.07776 | Academic Papers | svg |
866fcd2706cbe563b759ce19200b78453860fb1dd7789501a2403f696eb98f8c | 2026-01-13T00:00:00-05:00 | Combinatorial invariance for the coefficient of $q$ in Kazhdan-Lusztig polynomials | arXiv:2601.07793v1 Announce Type: new Abstract: We prove the combinatorial invariance of the coefficient of $q$ in Kazhdan-Lusztig polynomials for arbitrary Coxeter groups. As a result, we obtain the Combinatorial Invariance Conjecture for Bruhat intervals of length at most $6$. We also prove the Gabber-Joseph conjectu... | https://arxiv.org/abs/2601.07793 | Academic Papers | svg |
0f9331585013a8575e63a094a6fc0c52852d2f31fe8ae8810b938b2215c42611 | 2026-01-13T00:00:00-05:00 | Critical level-set percolation on finite graphs and spectral gap | arXiv:2601.07802v1 Announce Type: new Abstract: We study the bond percolation on finite graphs induced by the level-sets of zero-average Gaussian free field on the associated metric graph above a given height (level) parameter $h \in \mathbb{R}$. We characterize the near- and off-critical phases of this model for any e... | https://arxiv.org/abs/2601.07802 | Academic Papers | svg |
0264f2a547c46669dad745017d52b398eba60d6f12ad4b8c31c0f4efa89a1d5f | 2026-01-13T00:00:00-05:00 | Adventures of Harish-Chandra in $\mathbb Z_2 \times \mathbb Z_2$-graded world | arXiv:2601.07803v1 Announce Type: new Abstract: We study $\mathbb Z_2\times\mathbb Z_2$ bi-graded Lie algebras. We describe their properties in relation to Lie superalgebras with some compatible structures. Then we focus on the approach to the Lie group--algebra correspondence based on Harish-Chandra pairs and provide ... | https://arxiv.org/abs/2601.07803 | Academic Papers | svg |
57890af4dfd0d5a64dc7ee1306a949c0f3f6cc4aab660fb4a85dc6c128dde91c | 2026-01-13T00:00:00-05:00 | Foundations of local iterated function systems | arXiv:2601.07804v1 Announce Type: new Abstract: In this paper we present a systematic study of continuous local iterated function systems. We prove local iterated function systems admit compact attractors and, under a contractivity assumption, construct their code space and present an extended shift that describes admi... | https://arxiv.org/abs/2601.07804 | Academic Papers | svg |
82d64b20ce9750646e621bc38748a9aa7d1f48eb9f87434b429cb1368710651b | 2026-01-13T00:00:00-05:00 | Double Categorical Approaches to AQFT I: Axiomatic Setup | arXiv:2601.07807v1 Announce Type: new Abstract: In operator-algebraic AQFT one routinely moves back and forth between two kinds of structure: inclusions of local algebras coming from inclusions of regions, and bimodules/intertwiners that implement the standard $L^2$-based constructions used to compare and compose obser... | https://arxiv.org/abs/2601.07807 | Academic Papers | svg |
ea0e8b745f11dada376d656da967f6da834750ae02c1072da45c56747ab94cf3 | 2026-01-13T00:00:00-05:00 | Supercritical long-range percolation on graphs of polynomial growth: the truncated one-arm exponent | arXiv:2601.07808v1 Announce Type: new Abstract: We consider supercritical long-range percolation on transitive graphs of polynomial growth. In this model, any two vertices $x$ and $y$ of the underlying graph $G$ connect by a direct edge with probability $1-\exp(-\beta J(x,y))$, where $J(x,y)$ is a function that is inva... | https://arxiv.org/abs/2601.07808 | Academic Papers | svg |
a21ec53471f6111f0d21e47acb3d9dd271729b30995310373b097bbe9725494e | 2026-01-13T00:00:00-05:00 | On curves of degree 10 with 12 triple points | arXiv:2601.07809v1 Announce Type: new Abstract: We construct an irreducible rational curve of degree 10 in $CP^2$ which has 12 triple points. This gives a counter-example to a conjecture by Dimca, Harbourne, and Sticlaru. We also prove that there exists an analytic family $C_u$ of such curves which converges as $u\to 0... | https://arxiv.org/abs/2601.07809 | Academic Papers | svg |
2aafddfb3bb36e85e89a2b3a334c4a7ca4160a4482c4b9eae68b287b3eac8641 | 2026-01-13T00:00:00-05:00 | Finiteness of complete intersection dimensions of RHom and Ext modules | arXiv:2601.07811v1 Announce Type: new Abstract: In this paper, we explore the implications of the finiteness of complete intersection dimensions for RHom complexes and Ext modules. We prove various stability results and criteria for detecting finite complete intersection homological dimension of complexes and modules. ... | https://arxiv.org/abs/2601.07811 | Academic Papers | svg |
fa8c74a6a027bdc19eb25936e8ac1cfe7801da5a9facd261d6ebd0d632a4caa6 | 2026-01-13T00:00:00-05:00 | Convergence and turnpike properties of linear-quadratic mean field control problems with common noise | arXiv:2601.07815v1 Announce Type: new Abstract: We investigate convergence and turnpike properties for linear-quadratic mean field control problems with common noise. Within a unified framework, we analyze a finite-horizon social optimization problem, its mean field control limit, and the corresponding ergodic mean fie... | https://arxiv.org/abs/2601.07815 | Academic Papers | svg |
01b5a8a9a5fff58dda1092670b468bd44de73689c5e079091cc29ae715002e49 | 2026-01-13T00:00:00-05:00 | Local Density of Activated Random Walk on $\mathbb{Z}$ | arXiv:2601.07816v1 Announce Type: new Abstract: We consider one-dimensional activated random walk (ARW) on $\mathbb{Z}$ started from a `point source' initial condition, with many particles at the origin and no other particles. We prove that, uniformly throughout a macroscopic window around the source, the probability t... | https://arxiv.org/abs/2601.07816 | Academic Papers | svg |
1623b69e0f2cf1c79395fe2fcb00d1caf9826d5ba256148084cc99e681af31f6 | 2026-01-13T00:00:00-05:00 | Counting Square-full Solutions to $x+y=z$ | arXiv:2601.07817v1 Announce Type: new Abstract: We show that there are $O(B^{3/5-3/1555+\ep})$ triples $(x,y,z)$ of square-full integesr up to $B$ satisfying the equation $x+y=z$ for any fixed $\ep>0$. This is the first improvement over the `easy' exponent $3/5$, given by Browning and Van Valckenborgh. One new tool is ... | https://arxiv.org/abs/2601.07817 | Academic Papers | svg |
137188b27f58e4e0a57bdb514f7272e2be50503a2a500606c1183dd886f81449 | 2026-01-13T00:00:00-05:00 | On the range of two-distance graphs | arXiv:2601.07828v1 Announce Type: new Abstract: The topic of this paper is related to the well-known notion of unit distance graphs. Take a graph with its edges coloured red and blue such that for some $d$ it can be mapped into the plane with all vertices going to distinct points, the red edges to segments of length $1... | https://arxiv.org/abs/2601.07828 | Academic Papers | svg |
ae7f0232417a635a4a5c14da19b369f3fdb8955f3dec3e18cc06456976ab7885 | 2026-01-13T00:00:00-05:00 | A Complete Decomposition of Stochastic Differential Equations | arXiv:2601.07834v1 Announce Type: new Abstract: We show that any stochastic differential equation with prescribed time-dependent marginal distributions admits a decomposition into three components: a unique scalar field governing marginal evolution, a symmetric positive-semidefinite diffusion matrix field and a skew-sy... | https://arxiv.org/abs/2601.07834 | Academic Papers | svg |
4e4d349b9f170061c424d1085fffa53f514267cf348167ea938d3b83729caf1d | 2026-01-13T00:00:00-05:00 | Integrable Systems | arXiv:2601.04077v1 Announce Type: cross Abstract: These notes are based on lecture courses I gave to third year mathematics students at Cambridge. They could form a basis of an elementary one--term lecture course on integrable systems covering the Arnold-Liouville theorem, inverse scattering transform, Hamiltonian meth... | https://arxiv.org/abs/2601.04077 | Academic Papers | svg |
25c11403bf40a1323f14ed2e2d147fb632849218ffe2da038fdb8c028ae10b2d | 2026-01-13T00:00:00-05:00 | A Clarifying Note on Long-Horizon Investment and Dollar-Cost Averaging: An Effective Investment Exposure Perspective | arXiv:2601.06074v1 Announce Type: cross Abstract: It is widely claimed in investment education and practice that extending the investment horizon reduces risk, and that diversifying investment timing, for example through dollar-cost averaging (DCA), further mitigates investment risk. Although such claims are intuitivel... | https://arxiv.org/abs/2601.06074 | Academic Papers | svg |
15833a4366e5e7296c9154a2d1089b6a44487b4def3b435fe47cdc66f45c9cba | 2026-01-13T00:00:00-05:00 | Bipartitioning of Graph States for Distributed Measurement-Based Quantum Computing | arXiv:2601.06332v1 Announce Type: cross Abstract: Measurement-Based Quantum Computing (MBQC) is inherently well-suited for Distributed Quantum Computing (DQC): once a resource state is prepared and distributed across a network of quantum nodes, computation proceeds through local measurements coordinated by classical co... | https://arxiv.org/abs/2601.06332 | Academic Papers | svg |
8be35e71381150a377d29636832b68efa9bf198054a60c2f204d30cf4748c760 | 2026-01-13T00:00:00-05:00 | Designing a Resilient Allee-Ornstein-Uhlenbeck model | arXiv:2601.06354v1 Announce Type: cross Abstract: In stochastic population dynamics, stochastic wandering can produce transition to an absorbing state. In particular, under Allee effects, low densities amplify the possibility of population collapse. We investigate this in an Allee-Ornstein-Uhlenbeck (Allee-OU) model, t... | https://arxiv.org/abs/2601.06354 | Academic Papers | svg |
75cca391ea3519defa22939f5463a6d082f1b2e9633ef3e0669b2c4f65d88312 | 2026-01-13T00:00:00-05:00 | Exact Solutions for Compact Support Parabolic and Landau Barriers | arXiv:2601.06369v1 Announce Type: cross Abstract: We derive exact solutions to the one-dimensional Schr\"odinger equation for compact support parabolic and hyperbolic secant potential barriers, along with combinations of these types of potential barriers. We give the expressions for transmission and reflection coeffici... | https://arxiv.org/abs/2601.06369 | Academic Papers | svg |
534f9b9d0af42fb101b88e6b5a32ff913cd2375dcb730f4941ff4fbee5c53e2b | 2026-01-13T00:00:00-05:00 | Even Odd Splitting of the Gaussian Quantum Fisher Information: From Symplectic Geometry to Metrology | arXiv:2601.06513v1 Announce Type: cross Abstract: We introduce a canonical decomposition of the quantum Fisher information (QFI) for centered multimode Gaussian states into two additive pieces: an even part that captures changes in the symplectic spectrum and an odd part associated with correlation-generating dynamics.... | https://arxiv.org/abs/2601.06513 | Academic Papers | svg |
e758e8e254d11d7847992a4a5a83a7cf79777f56a03ea4e92e41340c21538790 | 2026-01-13T00:00:00-05:00 | A Lindblad and Non-Hermitian Spectral Framework for Fragmentation Dynamics and Particle Size Distributions | arXiv:2601.06638v1 Announce Type: cross Abstract: Population balance equations (PBEs) for pure fragmentation describe how particle size distributions (PSDs) evolve under breakage and fragment redistribution. We map a self-similar fragmentation class to: a conservative pure-jump master equation in log-size space; an exa... | https://arxiv.org/abs/2601.06638 | Academic Papers | svg |
972c8f4bf8200294055ebb14554743b9dffce968e8babdc5d206af7f2a33f3f7 | 2026-01-13T00:00:00-05:00 | Censored Graphical Horseshoe: Bayesian sparse precision matrix estimation with censored and missing data | arXiv:2601.06671v1 Announce Type: cross Abstract: Gaussian graphical models provide a powerful framework for studying conditional dependencies in multivariate data, with widespread applications spanning biomedical, environmental sciences, and other data-rich scientific domains. While the Graphical Horseshoe (GHS) metho... | https://arxiv.org/abs/2601.06671 | Academic Papers | svg |
be8218bc5763048a8e7e9a38844e934eef7b94e8c0fad41666d55536c84c2de3 | 2026-01-13T00:00:00-05:00 | Extensions of the solidarity principle of the spectral gap for Gibbs samplers to their blocked and collapsed variants | arXiv:2601.06745v1 Announce Type: cross Abstract: Connections of a spectral nature are formed between Gibbs samplers and their blocked and collapsed variants. The solidarity principle of the spectral gap for full Gibbs samplers is generalized to different cycles and mixtures of Gibbs steps. This generalized solidarity ... | https://arxiv.org/abs/2601.06745 | Academic Papers | svg |
b365ca76f927609bcc2de557d9e8602e292a5ab606597bf4cddfe05cf2079673 | 2026-01-13T00:00:00-05:00 | Introduction of Probability Density Alternation Method for Inverse Analyses of Integral Equations in Surface Science | arXiv:2601.06797v1 Announce Type: cross Abstract: Integral equations frequently arise in surface science, and in some cases, they must be treated as inverse problems. In our previous work on optical tweezers, atomic force microscopy, and surface force measurement apparatus, we performed inverse calculations to obtain t... | https://arxiv.org/abs/2601.06797 | Academic Papers | svg |
df1c74ed0c2c1041087ff702a232573a326deecaac3716e0b044d0a0ad87baf1 | 2026-01-13T00:00:00-05:00 | Obstructions to Unitary Hamiltonians in Non-Unitary String-Net Models | arXiv:2601.06821v1 Announce Type: cross Abstract: The Levin-Wen string-net formalism provides a canonical mapping from spherical fusion categories to local Hamiltonians defining Topological Quantum Field Theories (TQFTs). While the topological invariance of the ground state is guaranteed by the pentagon identity, the r... | https://arxiv.org/abs/2601.06821 | Academic Papers | svg |
8736f4ed982fa7b4a101fe7478941ba00c269a6db84240ab21741df40ba63fdb | 2026-01-13T00:00:00-05:00 | The past stability of Kasner singularities for the $(3+1)$-dimensional Einstein vacuum spacetime under polarized $U(1)$-symmetry | arXiv:2601.06957v1 Announce Type: cross Abstract: In this paper, we give a new proof to a past stability result established in Fournodavlos-Rodnianski-Speck (arXiv:2012.05888), for Kasner solutions of the $(3+1)$-dimensional Einstein vacuum equations under polarized $U(1)$-symmetry. Our method, inspired by Beyer-Oliyny... | https://arxiv.org/abs/2601.06957 | Academic Papers | svg |
762287c373b8a6cc860d9fc8ee815488693c9bfd28051392a0fa2524284b4249 | 2026-01-13T00:00:00-05:00 | Subspace Selected Variational Quantum Configuration Interaction with a Partial Walsh Series | arXiv:2601.07037v1 Announce Type: cross Abstract: Estimating the ground-state energy of a quantum system is one of the most promising applications for quantum algorithms. Here we propose a variational quantum eigensolver (VQE) \emph{Ansatz} for finding ground state configuration interaction (CI) wavefunctions. We map C... | https://arxiv.org/abs/2601.07037 | Academic Papers | svg |
ccb437e8a963221c973e117e9f9193c50917bbfb876348272ac2ef162a69ad89 | 2026-01-13T00:00:00-05:00 | Neuronal Spike Trains as Functional-Analytic Distributions: Representation, Analysis, and Significance | arXiv:2601.07215v1 Announce Type: cross Abstract: The action potential constitutes the digital component of the signaling dynamics of neurons. But the biophysical nature of the full time course of the action potential associated with changes in membrane potential is fundamentally and mathematically distinct from its re... | https://arxiv.org/abs/2601.07215 | Academic Papers | svg |
e04fa01f6a24d6c6bb17abffb092fda6957552edb1d0a46564a3e9827e429965 | 2026-01-13T00:00:00-05:00 | Characterization of multi-way binary tables with uniform margins and fixed correlations | arXiv:2601.07369v1 Announce Type: cross Abstract: In many applications involving binary variables, only pairwise dependence measures, such as correlations, are available. However, for multi-way tables involving more than two variables, these quantities do not uniquely determine the joint distribution, but instead defin... | https://arxiv.org/abs/2601.07369 | Academic Papers | svg |
688f9fcc14138a4897c98fb799fe0458de5a2f3951607cf348d38b2d82e3e1ea | 2026-01-13T00:00:00-05:00 | Refined Invariants and Quantum Curves from Supersymmetric Localization | arXiv:2601.07662v1 Announce Type: cross Abstract: We study an Aganagic-Vafa brane supported on a special Lagrangian submanifold $\mathcal{L}$ in a non-compact toric Calabi-Yau threefold $\mathcal{X}$. From the perspective of geometric engineering, the Aganagic-Vafa branes give rise to a special class of half-BPS codime... | https://arxiv.org/abs/2601.07662 | Academic Papers | svg |
411f9710722365c19ee8748ce4f986e79f2fbc06626bc2928708982890f1b7a0 | 2026-01-13T00:00:00-05:00 | Quantum information and statistical complexity of hydrogen-like ions in Dunkl-Schr\"odinger system | arXiv:2601.07683v1 Announce Type: cross Abstract: In this work, we present analytical solutions of Schr\"odinger equation for Coulomb potential in presence of a Dunkl reflection operator. Expressions are offered for eigenvalues, eigenfunctions and radial densities for H-isoelectronic series (Z=1-3). The degeneracy in e... | https://arxiv.org/abs/2601.07683 | Academic Papers | svg |
bef5d01699be728646461cadc2343e3211c2832f34ae5b681615c5d77a6f511c | 2026-01-13T00:00:00-05:00 | Assembly to Quantum Compiler | arXiv:2601.07706v1 Announce Type: cross Abstract: This research presents a novel approach in quantum computing by transforming ARM assembly instructions for use in quantum algorithms. The core achievement is the development of a method to directly map the ARM assembly language, a staple in classical computing, to quant... | https://arxiv.org/abs/2601.07706 | Academic Papers | svg |
f16c6d90e05985187eaff76957825897d5aeae8bcc343f01f47bbd53fe83d33b | 2026-01-13T00:00:00-05:00 | Riesz Representer Fitting under Bregman Divergence: A Unified Framework for Debiased Machine Learning | arXiv:2601.07752v1 Announce Type: cross Abstract: Estimating the Riesz representer is a central problem in debiased machine learning for causal and structural parameter estimation. Various methods for Riesz representer estimation have been proposed, including Riesz regression and covariate balancing. This study unifies... | https://arxiv.org/abs/2601.07752 | Academic Papers | svg |
fec54a0e0d2207ee55006d3b692cc3bfab75f0aa83d3ce6016f5435cfb0d3b03 | 2026-01-13T00:00:00-05:00 | Spacetime Quasicrystals | arXiv:2601.07769v1 Announce Type: cross Abstract: Self-similar quasicrystals (like the famous Penrose and Ammann-Beenker tilings) are exceptional geometric structures in which long-range order, quasiperiodicity, non-crystallographic orientational symmetry, and discrete scale invariance are tightly interwoven in a beaut... | https://arxiv.org/abs/2601.07769 | Academic Papers | svg |
6d622b1e11cdb041219d705cd6bc112fc817afb6e8aea6f20241692457193cd2 | 2026-01-13T00:00:00-05:00 | Serial vs parallel recall in the Blume-Every-Griffiths neural networks | arXiv:2601.07777v1 Announce Type: cross Abstract: Fully connected Blume-Emery-Griffiths neural networks performing pattern recognition and associative memory have been heuristically studied in the past (mainly via the replica trick and under the replica symmetric assumption) as generalization of the standard Hopfield r... | https://arxiv.org/abs/2601.07777 | Academic Papers | svg |
4219714642871f0ce9b1c0554cf64521bd85eb945a0b69f30e8ca1f8f7076e15 | 2026-01-13T00:00:00-05:00 | A proof of Newman's conjecture for the extended Selberg class | arXiv:2005.05142v2 Announce Type: replace Abstract: Newman's conjecture (proved by Rodgers and Tao in 2018) concerns a certain family of deformations $\{\xi_t(s)\}_{t \in \mathbb{R}}$ of the Riemann xi function for which there exists an associated constant $\Lambda \in \mathbb{R}$ (called the de Bruijn-Newman constant)... | https://arxiv.org/abs/2005.05142 | Academic Papers | svg |
dd099e243244fec5aa5a4f40d57ce258f6e328067c0171680a47410c3227a52a | 2026-01-13T00:00:00-05:00 | Moduli of vector bundles on primitive multiple schemes | arXiv:2202.12569v3 Announce Type: replace Abstract: A primitive multiple scheme is a Cohen-Macaulay scheme $Y$ such that the associated reduced scheme $X=Y_{red}$ is smooth, irreducible, and that $Y$ can be locally embedded in a smooth variety of dimension $\dim(X)+1$. If $n$ is the multiplicity of $Y$, there is a cano... | https://arxiv.org/abs/2202.12569 | Academic Papers | svg |
42ce4cae049c9833c43509881609b2601fc007a4edb34bcd4d57a8af9326337f | 2026-01-13T00:00:00-05:00 | Approximations of $SL(3,\mathbb{Z})$ Hecke-Maass $L$-Functions by short Dirichlet polynomials | arXiv:2204.12612v5 Announce Type: replace Abstract: We study averages of $L$-functions associated with Hecke-Maass cusp forms for $SL(3,\mathbb{Z})$, multiplied by Dirichlet polynomials built from the Fourier coefficients of the cusp forms. To prove this, we employ a variant of the Kuznetsov trace formula. In particula... | https://arxiv.org/abs/2204.12612 | Academic Papers | svg |
7ab1a951a4e6aa93d11bb44d6df71d04273249f8d2aa323eb6cb3015122c1bd7 | 2026-01-13T00:00:00-05:00 | Homotopy type of spaces of locally convex curves in the sphere S^3 | arXiv:2205.10928v3 Announce Type: replace Abstract: Locally convex (or nondegenerate) curves in the sphere $S^n$ have been studied for several reasons, including the study of linear ordinary differential equations of order $n+1$. Taking Frenet frames allows us to obtain corresponding curves $\Gamma$ in the group $Spin_... | https://arxiv.org/abs/2205.10928 | Academic Papers | svg |
a304f84fe43ba2770af0b1c6fe7436470748337762a4cdf0690362ac85dc975d | 2026-01-13T00:00:00-05:00 | Algebraic Relations among Special Gamma Values and the Chowla-Selberg Phenomenon over Function Fields | arXiv:2207.01165v2 Announce Type: replace Abstract: The aim of this paper is to determine all algebraic relations among various special gamma values over function fields, and prove a Chowla-Selberg-type formula for quasi-periods of CM abelian $t$-modules. Our results are based on the intrinsic relations between gamma v... | https://arxiv.org/abs/2207.01165 | Academic Papers | svg |
a91dba775c73758b4f5e30976031a448f103a00703f237d76facfa710cf9f59f | 2026-01-13T00:00:00-05:00 | Quantum loop groups for symmetric Cartan matrices | arXiv:2207.05504v4 Announce Type: replace Abstract: We introduce a quantum loop group associated to a general symmetric Cartan matrix, by imposing just enough relations between the usual generators $\{e_{i,k}, f_{i,k}\}_{i \in I, k \in \mathbb{Z}}$ in order for the natural Hopf pairing between the positive and negative... | https://arxiv.org/abs/2207.05504 | Academic Papers | svg |
b9670ae26bac74a2a8c89057d4164248c9425557f2171ffe68d77ad7709911ae | 2026-01-13T00:00:00-05:00 | Hereditarily indecomposable continua as generic mathematical structures | arXiv:2208.06886v4 Announce Type: replace Abstract: We characterize the pseudo-arc as well as P-adic pseudo-solenoids (for a set of primes P) as generic structures, arising from a natural game in which two players alternate in building an inverse sequence of surjections. The second player wins if the limit of this sequ... | https://arxiv.org/abs/2208.06886 | Academic Papers | svg |
34649bdbf47aa6941f328a0165a135a8427aa7d9887cf547a02e1ba6e5c424e4 | 2026-01-13T00:00:00-05:00 | A Nomizu-van Est theorem in Ekedahl's derived $\ell$-adic setting | arXiv:2209.09744v2 Announce Type: replace Abstract: A theorem of Nomizu and van Est computes the cohomology of a compact nilmanifold, or equivalently the group cohomology of an arithmetic subgroup of a unipotent linear algebraic group over $\mathbb{Q}$. We prove a similar result for the cohomology of a compact open sub... | https://arxiv.org/abs/2209.09744 | Academic Papers | svg |
d2089553469d6586e0a10de709414818350a608744283a5393ed883f21fbf430 | 2026-01-13T00:00:00-05:00 | Strongly rigid metrics in spaces of metrics | arXiv:2210.02170v5 Announce Type: replace Abstract: A metric space is said to be strongly rigid if no positive distance is taken twice by the metric. In 1972, Janos proved that a separable metrizable space has a strongly rigid metric if and only if it is zero-dimensional. In this paper, we shall develop this result for... | https://arxiv.org/abs/2210.02170 | Academic Papers | svg |
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