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1130d6e1bc2fc77bd3fdffd11c0c142fb78fdae706a2390a161f7f203adbdc60 | 2026-01-23T00:00:00-05:00 | Can a Quantum Computer Simulate Nuclear Magnetic Resonance Spectra Better than a Classical One? | arXiv:2508.06448v2 Announce Type: replace-cross Abstract: The simulation of the spectra measured in nuclear magnetic resonance (NMR) spectroscopy experiments is a computationally non-trivial problem which, due to its natural interpretation as a quantum spin problem, maps in a straightforward way to a quantum computer. ... | https://arxiv.org/abs/2508.06448 | Academic Papers | svg |
72ad602f2985f4745e679108f4de0870aacc775611f6a2d240f590bc164414ba | 2026-01-23T00:00:00-05:00 | TeMFpy: a Python library for converting fermionic mean-field states into tensor networks | arXiv:2510.05227v2 Announce Type: replace-cross Abstract: We introduce TeMFpy, a Python library for converting fermionic mean-field states to finite or infinite matrix product state (MPS) form. TeMFpy includes new, efficient, and easy-to-understand algorithms for both Slater determinants and Pfaffian states. Together w... | https://arxiv.org/abs/2510.05227 | Academic Papers | svg |
2c5b19fd59341380e319f64473f83d052c6902f4ed6d01b994bc994acbdef298 | 2026-01-23T00:00:00-05:00 | Single-fluid model for rotating annular supersolids and its experimental implications | arXiv:2510.26753v2 Announce Type: replace-cross Abstract: The famous two-fluid model of finite-temperature superfluids has been recently extended to describe the mixed classical-superfluid dynamics of the newly discovered supersolid phase of matter. We show that for rigidly rotating supersolids one can derive a more ap... | https://arxiv.org/abs/2510.26753 | Academic Papers | svg |
212a96d7fe1f27ce182fc2dedc0c5e50bfb8e4a7e14d013d61f9f21d7abb22b4 | 2026-01-23T00:00:00-05:00 | Emergent clusters in strongly confined systems | arXiv:2511.00234v2 Announce Type: replace-cross Abstract: Driven suspensions, where energy is input at a particle scale, are a framework for understanding general principles of out-of-equilibrium organization. A large number of simple interacting units can give rise to non-trivial structure and hierarchy. Rotationally ... | https://arxiv.org/abs/2511.00234 | Academic Papers | svg |
f5eb897f441ca050a88a06207c9c9cf6690eb781ae828763f8710efb3ee86bbd | 2026-01-23T00:00:00-05:00 | Precision Bounds for Characterising Quantum Measurements | arXiv:2512.20091v2 Announce Type: replace-cross Abstract: Quantum measurements, alongside quantum states and processes, form a cornerstone of quantum information processing. However, unlike states and processes, their efficient characterisation remains relatively unexplored. We resolve this asymmetry by introducing a c... | https://arxiv.org/abs/2512.20091 | Academic Papers | svg |
910edae438721d2cd7515fe3819dbd515f6de248352a6febd55d379ac5215f01 | 2026-01-23T00:00:00-05:00 | Calibration Method of Spacecraft-Inertial Sensor Center-of-Mass Offset for the Taiji Gravitational Wave Detection Mission under Science Mode | arXiv:2512.20468v2 Announce Type: replace-cross Abstract: Accurately calibrating the center-of-mass (CoM) offset between the spacecraft (SC) and the inertial sensor test mass (TM) is crucial for space-based gravitational-wave (GW) antennas, such as LISA and Taiji. Current calibration methods require additional spacecra... | https://arxiv.org/abs/2512.20468 | Academic Papers | svg |
db8c7b5c5805475cbc5ade84692dadf411e4c70b9a8a5d84af02397688faebd6 | 2026-01-23T00:00:00-05:00 | Elasticity without a reference state: continuum mechanics of active tension nets | arXiv:2601.08968v2 Announce Type: replace-cross Abstract: A constitutive relation between stress and strain relative to a reference state is the basic assumption of elasticity theory. However, in living matter, stress is governed by (motor molecule) activity rather than a constitutive law. What paradigm takes the place... | https://arxiv.org/abs/2601.08968 | Academic Papers | svg |
aedc1bd5aa83fe48b5ebf73dd3b56a03a3165afc4d0d99cfdf51900f1b461709 | 2026-01-23T00:00:00-05:00 | Resolving the band alignment of InAs/InAsSb mid-wave-infrared type-II superlattices | arXiv:2601.15053v2 Announce Type: replace-cross Abstract: In this work, three InAs/InAs$_{0.65}$Sb$_{0.35}$ superlattices with different periods were investigated using photoluminescence and photoreflectance measurements and their band structure was simulated using a 14 bulk-band kp model. The structures were studied b... | https://arxiv.org/abs/2601.15053 | Academic Papers | svg |
9a84f7e0a37f84626065a01d19173ac3b868436aaa9bf9d9ca865ab35fe90e54 | 2026-01-23T00:00:00-05:00 | A new iterative three-point method for solving systems of nonlinear equations | arXiv:2601.15323v1 Announce Type: new Abstract: A three-point iterative method for solving scalar non-linear equations was selected and then adapted to solve systems of non-linear equations. Subsequently, by applying Taylor's theorem to functions of $\R^{n}$ in $\R^{n}$, it is shown that the new method also has a sixth... | https://arxiv.org/abs/2601.15323 | Academic Papers | svg |
42a37ed08e08f3b5f1273ccc35e85717151abc4da086b53304507d2ec25557e4 | 2026-01-23T00:00:00-05:00 | G\"unter Hellwig (1926-2004) -- in memoriam | arXiv:2601.15329v1 Announce Type: new Abstract: G\"unter Hellwig was the author of influential textbooks on PDEs and differential operators of mathematical physics, an enthusiastic and inspiring teacher to generations of engineers, organiser of PDE conferences at Oberwolfach and a pioneer in index theory. | https://arxiv.org/abs/2601.15329 | Academic Papers | svg |
3f722ac8646061e2fcf34147cc20e4cab283b89b856bc8a57661e0f7742ee295 | 2026-01-23T00:00:00-05:00 | Conjectures on Sums of Consecutive Primes | arXiv:2601.15346v1 Announce Type: new Abstract: We study additive properties of consecutive prime numbers and the primality of the sums they generate. For a given prime number $p_n$, we consider the sums \[ S_k(p_n) = p_n + p_{n+1} + \cdots + p_{n+k-1}, \] where $k \ge 3$ is an odd integer. We first formulate an existe... | https://arxiv.org/abs/2601.15346 | Academic Papers | svg |
d9b4604c92b15bb04f21c90f9336ceba1d61a2f8879f799931530eb2a3764971 | 2026-01-23T00:00:00-05:00 | Maximal Green Sequences for Cluster Algebras Associated to Closed Orbifolds | arXiv:2601.15389v1 Announce Type: new Abstract: It is known that the existence of a maximal green sequence for a quiver associated to surfaces is equivalent to the equality of the cluster algebra and upper cluster algebra generated by the quiver. This paper makes the first steps in investigating this behavior in the ge... | https://arxiv.org/abs/2601.15389 | Academic Papers | svg |
a27ff5d9bec18bccd1e3af0bf0e0d8f63c09403f731c38e5becbb827a61051cf | 2026-01-23T00:00:00-05:00 | Understanding FISTA's weak convergence: A step-by-step introduction to the 2025 milestone | arXiv:2601.15398v1 Announce Type: new Abstract: Beck and Teboulle's FISTA for finding the minimizer of the sum of two convex functions is one of the most important algorithms of the past decades. While function value convergence of the iterates was known, the actual convergence of the iterates remained elusive until Oc... | https://arxiv.org/abs/2601.15398 | Academic Papers | svg |
f3a27624c7c8c1b9ae4818e7526dbbb0e52fe3bca53a24bc3e96519283a04c0c | 2026-01-23T00:00:00-05:00 | The Geometry of Rough Path Space | arXiv:2601.15402v1 Announce Type: new Abstract: We describe $H^p(V)$, a subset of $p$-rough path space $\Omega_p(V)$ which is a vector space under an addition operation $\boxplus$ and a scalar multiplication $\odot$. We show that the domain of $\boxplus$ can be extended to $\Omega_p(V)\times H^p(V)$, allowing any $p$-r... | https://arxiv.org/abs/2601.15402 | Academic Papers | svg |
b23f170a33cf6157da5e6f6f9f608fd03752c1aa0aaa9ba5a0753338d6290ae0 | 2026-01-23T00:00:00-05:00 | F-Purity of Binomial Edge Ideals | arXiv:2601.15403v1 Announce Type: new Abstract: In 2012, K. Matsuda introduced the class of weakly closed graphs and investigated when binomial edge ideals are F-pure. He proved that weakly closed binomial edge ideals are F-pure whenever the base field has positive characteristic. He conjectured that: (i) when the base... | https://arxiv.org/abs/2601.15403 | Academic Papers | svg |
8417f5d11c7748833f40f14443bcd694fb77b30423428281db55545c0bcb0cd8 | 2026-01-23T00:00:00-05:00 | Cancellation elements in multiplicative lattices | arXiv:2601.15405v1 Announce Type: new Abstract: We extend to multiplicative lattices a theorem of Anderson and Roitman characterizing the cancellation ideals of a commutative ring. | https://arxiv.org/abs/2601.15405 | Academic Papers | svg |
b904e21f473510965ccb23ebd2d3deedb9ab32c37340a0f9780ceef6868d55f5 | 2026-01-23T00:00:00-05:00 | On the diagonal of low bidegree hypersurfaces | arXiv:2601.15409v1 Announce Type: new Abstract: We study the existence of a decomposition of the diagonal for bidegree hypersurfaces in a product of projective spaces. Using a cycle theoretic degeneration technique due to Lange, Pavic and Schreieder, we develop an inductive procedure that allows one to raise the degree... | https://arxiv.org/abs/2601.15409 | Academic Papers | svg |
b00287ca78f73b54827aaedeb8582759014c0b686645b3aa21ad91f69b99f78b | 2026-01-23T00:00:00-05:00 | What is... hierarchical hyperbolicity? | arXiv:2601.15410v1 Announce Type: new Abstract: This is a very short introduction to hierarchically hyperbolic spaces and groups. It is aimed at non-experts, including anyone who may encounter a group with some similarities to mapping class groups. | https://arxiv.org/abs/2601.15410 | Academic Papers | svg |
b00464cd20c0937fad3f85c11ec359b460b0aa41e0a2f12462735d8ad379d476 | 2026-01-23T00:00:00-05:00 | Asymptotic behaviour of coupled random dynamical systems with multiscale aspects | arXiv:2601.15411v1 Announce Type: new Abstract: We examine a class of stochastic differential inclusions involving multiscale effects designed to solve a class of generalized variational inequalities. This class of problems contains constrained convex non-smooth optimization problems, constrained saddle-point problems ... | https://arxiv.org/abs/2601.15411 | Academic Papers | svg |
e414307af54501ef2d2868b47b93288fe4507f588e2d18a4cdfab9abc3e452a1 | 2026-01-23T00:00:00-05:00 | Counting point configurations in projective space | arXiv:2601.15421v1 Announce Type: new Abstract: We investigate the enumerative geometry of point configurations in projective space. We define "projective configuration counts": these enumerate configurations of points in projective space such that certain specified subsets are in fixed relative positions. The $\mathbb... | https://arxiv.org/abs/2601.15421 | Academic Papers | svg |
6b69a7d512d10971333ac2c350545271f41d18b90b6757a609624afaf0fed6b1 | 2026-01-23T00:00:00-05:00 | Isotropic meta Kazhdan--Lusztig combinatorics I: Ext-quiver presentation for the Hecke category | arXiv:2601.15426v1 Announce Type: new Abstract: We provide an ${\rm Ext}$-quiver and relations presentation for the basic algebra of the anti-spherical Hecke categories of isotropic Grassmannians, $H_{(D_n, A_{n-1})}$, in terms of cup-cap meta Kazhdan--Lusztig combinatorics and Temperley--Lieb diagrammatics. | https://arxiv.org/abs/2601.15426 | Academic Papers | svg |
3966cecb124fb93ff9ece6a4431be1c3c189f560d4375ac9504902a57d9b589b | 2026-01-23T00:00:00-05:00 | A numerical characterization of Dunkl systems | arXiv:2601.15430v1 Announce Type: new Abstract: We give a numerical characterization of weighted hyperplane arrangements arising from Dunkl systems. | https://arxiv.org/abs/2601.15430 | Academic Papers | svg |
62b2ce3e013d691748a7980a2712e91c130098a894744b302335f3e48716c179 | 2026-01-23T00:00:00-05:00 | Discrete log-concavity and threshold phenomena for atomic measures | arXiv:2601.15444v1 Announce Type: new Abstract: We investigate threshold phenomena for random polytopes $K_N=\conv\{X_1,\dots,X_N\}$ generated by i.i.d.\ samples from an atomic law $\mu$. We identify and provide a missing justification in the discrete-hypercube threshold argument of Dyer--F\"uredi--McDiarmid, where the... | https://arxiv.org/abs/2601.15444 | Academic Papers | svg |
a1c358cb7455d168dc197a5d7dd870a4a2396ea7fd95d8b0071012e037d859cf | 2026-01-23T00:00:00-05:00 | On certain bilinear sums with modular square roots and applications | arXiv:2601.15448v1 Announce Type: new Abstract: We extend bounds on additive energies of modular square roots by Dunn, Kerr, Shparlinski, Shkredov and Zaharescu and apply these results to obtain bounds on certain bilinear exponential sums with modular square roots. From here, we make partial progress on the large sieve... | https://arxiv.org/abs/2601.15448 | Academic Papers | svg |
45e601bfa15d1df3458000da6f3bb647989775117ec2d9029052077e10a66d6b | 2026-01-23T00:00:00-05:00 | Variance bounds in product measures without exponential tails | arXiv:2601.15450v1 Announce Type: new Abstract: We establish analogs of Cheeger's inequality for probability measures with heavy tails. As one of the principal applications, suppose $\lambda > 3$ and define the (Pareto) probability measure $\mu_{\lambda}$ on $[1,\infty)$ by $d\mu_{\lambda}(x) = (\lambda - 1) x^{-\lambd... | https://arxiv.org/abs/2601.15450 | Academic Papers | svg |
1ccbcbd2809ac11e7edc3f57a086e95f0b7240bee02ad669c8f58a1e22fd59bd | 2026-01-23T00:00:00-05:00 | Generalized Ramsey Numbers in the Hypercube | arXiv:2601.15451v1 Announce Type: new Abstract: We study the generalized Ramsey numbers $f(Q_n, C_{k}, q)$, that is, the minimum number of colors needed to edge-color the hypercube $Q_n$ so that every copy of the cycle $C_{k}$ has at least $q$ colors. Our main result is that for any integers $k,q$ satisfying $k \geq 6$... | https://arxiv.org/abs/2601.15451 | Academic Papers | svg |
db2200a19aff361e5348098501dcd3a0e8acc4f22f832c25aff04a9538c42b95 | 2026-01-23T00:00:00-05:00 | The paper "On the constant in a transference inequality for the vector-valued Fourier transform" revisited | arXiv:2601.15454v1 Announce Type: new Abstract: The standard proof of the equivalence of Fourier type on \(\mathbb R^d\) and on the torus \(\mathbb T^d\) is usually stated in terms of an implicit constant which can be expressed in terms of the global minimiser of the functions \[f_r(x)=\sum_{m\in\mathbb{Z}}\left|\frac{... | https://arxiv.org/abs/2601.15454 | Academic Papers | svg |
01b84ef5e4418d9836cd039e941aae0245cc88e8d6886114673662165a57a0de | 2026-01-23T00:00:00-05:00 | Brauer groups of varieties over local fields of finite characteristic | arXiv:2601.15461v1 Announce Type: new Abstract: We show that the non-log version of Kato's ramification filtration on the Brauer group of a separated and finite type regular scheme over a positive characteristic local field coincides with the evaluation filtration. This extends a recent result of Bright-Newton to posit... | https://arxiv.org/abs/2601.15461 | Academic Papers | svg |
513a80fb2995b47fd796ce905373fabec54b7d29be239ab08bb7399053475ee6 | 2026-01-23T00:00:00-05:00 | Determinants of modular Collatz graphs and variants | arXiv:2601.15463v1 Announce Type: new Abstract: The determinants of modular Collatz graphs and the modular Conway amusical permutation graph are determined, and some interesting number theoretic properties are described. | https://arxiv.org/abs/2601.15463 | Academic Papers | svg |
f2912960037a463593d9e630209596698bd50e8bedebc69b592b8330aec7a997 | 2026-01-23T00:00:00-05:00 | Gorenstein flat preenvelopes and weakly Ding injective covers | arXiv:2601.15469v1 Announce Type: new Abstract: We consider a (left) coherent ring R. We prove that if the character module of every Ding injective (left) R-module is Gorenstein flat, then the class of Gorenstein flat (right) R-modules, GF, is preenveloping. We show that this is the case when every injective (left) R-m... | https://arxiv.org/abs/2601.15469 | Academic Papers | svg |
8e7e4c8f95c7cfae7fa1a1307d6b2f69eb97b801f5a81d7b81d8fe098e40152b | 2026-01-23T00:00:00-05:00 | Folklore in Multi-Objective Optimisation | arXiv:2601.15499v1 Announce Type: new Abstract: In this paper, we present and prove some results in multi-objective optimisation that are considered folklore. For the most part, proofs for these results exist in special cases, but they are used in more general settings since their proofs can be (largely) transferred. W... | https://arxiv.org/abs/2601.15499 | Academic Papers | svg |
1041b6d6675182c8a127c4c5387bf70d825d82b8abb5d0fe601d364f5c951fcd | 2026-01-23T00:00:00-05:00 | On orthogonality graphs of Okubo algebras | arXiv:2601.15501v1 Announce Type: new Abstract: The orthogonality graph of an Okubo algebra with isotropic norm over an arbitrary field $\mathbb{F}$ is considered. Its connected components are described, and their diameters are computed. It is shown that there exist at most two shortest paths between any pair of vertic... | https://arxiv.org/abs/2601.15501 | Academic Papers | svg |
6a9eab183670f6216624b58c28f12f158f6442d49e53bd36e02e14bec931c04e | 2026-01-23T00:00:00-05:00 | Maps on Surfaces as a Structural Framework for Genus-One Virtual Knot Classification | arXiv:2601.15512v1 Announce Type: new Abstract: We develop a purely combinatorial framework for the systematic enumeration of knot and link diagrams supported on the thickened torus $T^2\times I$. Using the theory of maps on surfaces, cellular $4$--regular torus projections are encoded by permutation pairs $(\alpha,\si... | https://arxiv.org/abs/2601.15512 | Academic Papers | svg |
d64af6f41772fb4ec72104233fc010f8f072f58c7e496623c0374c6a92ef9a7f | 2026-01-23T00:00:00-05:00 | Colour ratio in Prim's ranking of bipartite graphs | arXiv:2601.15520v1 Announce Type: new Abstract: We consider a complete bipartite graph of size $n$ endowed with i.i.d. uniform edge weights and run Prim's Algorithm to obtain a ranking of its vertices. Let $\rho^{(n)}_k$ be the proportion of black vertices among the first $k$ vertices in this ranking. We characterise t... | https://arxiv.org/abs/2601.15520 | Academic Papers | svg |
048db026c602933e3a9f331aecc7cf0fdfcdcda73a632eb68701fb0c48ab126a | 2026-01-23T00:00:00-05:00 | Length minimization of filling pairs on hyperbolic surfaces | arXiv:2601.15524v1 Announce Type: new Abstract: A filling pair $(\alpha, \beta)$ of a surface $S_g$ is a pair of simple closed curves in minimal position such that the complement of $\alpha\cup\beta$ in $S_g$ is a disjoint union of topological disks. A filling pair is said to be minimally intersecting if the number of ... | https://arxiv.org/abs/2601.15524 | Academic Papers | svg |
c9fb8bc96f34794c2e90f549a140167d553417f3c3a3f315eb1734d30a044187 | 2026-01-23T00:00:00-05:00 | The Frog Model on $\mathbb{Z}$ with Discrete Weibull Lifetimes and Random Parameter $p$ | arXiv:2601.15526v1 Announce Type: new Abstract: We study the frog model on $\mathbb{Z}$ with particle wise discrete Weibull lifetimes. Each particle has an i.i.d. survival parameter $\pi\in(0,1)$; conditionally on $\pi=p$, its lifetime $\Xi$ satisfies \[ P(\Xi\ge k\mid \pi=p)=p^{k^{\gamma}},\qquad k\in\mathbb{N}_0,\gam... | https://arxiv.org/abs/2601.15526 | Academic Papers | svg |
d2054677ba8720a649bd9298aca723336dd6450f9b4b685a2b4f3af200c80814 | 2026-01-23T00:00:00-05:00 | Palindromicity of multivariate Eulerian polynomials | arXiv:2601.15527v1 Announce Type: new Abstract: We lift to the multivariate Eulerian polynomials the identity implying that univariate Eulerian polynomials are palindromic. As a consequence of this generalization, we obtain nice combinatorial identities that can be directly extracted from this polynomial relation and t... | https://arxiv.org/abs/2601.15527 | Academic Papers | svg |
9cf4aebdde995c86b4624a31acc993f9841fe83015dae0a27ea2ad1016e2bf41 | 2026-01-23T00:00:00-05:00 | Variable Stepsize Distributed Forward-Backward Splitting Methods as Relocated Fixed-Point Iterations | arXiv:2601.15531v1 Announce Type: new Abstract: We present a family of distributed forward-backward methods with variable stepsizes to find a solution of structured monotone inclusion problems. The framework is constructed by means of relocated fixed-point iterations, extending the approach introduced in arXiv:2507.074... | https://arxiv.org/abs/2601.15531 | Academic Papers | svg |
7eff0bd126a880e869f47ba53b9c90aed97afe8aac4d513ed75395f72f0e27c6 | 2026-01-23T00:00:00-05:00 | The formal theory of tangentads PART II | arXiv:2601.15534v1 Announce Type: new Abstract: Tangent category theory is a well-established categorical framework for differential geometry. A long list of fundamental geometric constructions, such as the tangent bundle functor, vector fields, Euclidean spaces, and vector bundles have been successfully generalized an... | https://arxiv.org/abs/2601.15534 | Academic Papers | svg |
d2265b70b7c83994bc7f1aa6a5936eb7ee04f83e7d32da4852b14c918fe65820 | 2026-01-23T00:00:00-05:00 | Rationality of the trivial lattice rank weighted motivic height zeta function for elliptic surfaces | arXiv:2601.15543v1 Announce Type: new Abstract: Let $k$ be a perfect field with $\mathrm{char}(k)\neq 2,3$, set $K=k(t)$, and let $\mathcal{W}_n^{\min}$ be the moduli stack of minimal elliptic curves over $K$ of Faltings height $n$ from the height-moduli framework of Bejleri-Park-Satriano applied to $\overline{\mathcal... | https://arxiv.org/abs/2601.15543 | Academic Papers | svg |
6ab0371539cfd83e70ca206f25dbe5d817a0cca433fe2ed2aaca776b7b6a02e3 | 2026-01-23T00:00:00-05:00 | Computability of $\mathcal{G}$-Beroulli Measures and Measures of Maximal Entropy on Coded Shift Spaces | arXiv:2601.15548v1 Announce Type: new Abstract: In this paper, we investigate the computability of $\mathcal{G}$-Bernoulli measures, with a particular focus on measures of maximal entropy (MMEs) on coded shift spaces. Coded shifts are natural generalizations of sofic shifts and are defined as the closure of all bi-infi... | https://arxiv.org/abs/2601.15548 | Academic Papers | svg |
f598799a2149fb4e0eac87b5b32f85ff2c15493e7d3ff58c99056398c97ecd9d | 2026-01-23T00:00:00-05:00 | On the nilpotent residue non-abelian Hodge correspondence for higher-dimensional quasiprojective varieties | arXiv:2601.15553v1 Announce Type: new Abstract: In arXiv:2408.16441, the authors proved that on a projective log smooth variety $(\bar{X}, D)$ there is a continuous bijection between the moduli space $M^{\mathrm{nilp}}_{\mathrm{Dol}}(\bar{X}, D)$ of logarithmic Higgs bundles with nilpotent residues and the moduli space... | https://arxiv.org/abs/2601.15553 | Academic Papers | svg |
17bd430e62a8c10540734d32cd5a8d59ce7fe3526495671d4a226485108fd0ab | 2026-01-23T00:00:00-05:00 | Primes and almost primes between cubes | arXiv:2601.15564v1 Announce Type: new Abstract: In this paper we study the problem of detecting prime numbers between all consecutive cubes. Firstly, we use a large computation to show that there is always a prime between $n^3$ and $(n+1)^3$ for $n^3\leq 1.649\cdot 10^{40}$. In addition, we use this computation and a s... | https://arxiv.org/abs/2601.15564 | Academic Papers | svg |
4c9c531fae79436da6b6a036196149cfd4de6a991f50ea41d49606bee2311693 | 2026-01-23T00:00:00-05:00 | Non-universality of ternary quadratic forms over fields containing $\sqrt2$ | arXiv:2601.15568v1 Announce Type: new Abstract: We prove Kitaoka's conjecture for all totally real number fields of degree 4 -- namely, there is no positive definite classical quadratic form in three variables which is universal. To achieve this, we study the fields (often without restricting the degree) where 2 is a s... | https://arxiv.org/abs/2601.15568 | Academic Papers | svg |
448739a7ab16ee41756e3d4fc3dd0e8aebb1e9d157c1c4568c363ca0385bef80 | 2026-01-23T00:00:00-05:00 | The second Delannoy category | arXiv:2601.15574v1 Announce Type: new Abstract: In recent work, Harman and Snowden constructed a symmetric tensor category associated to an oligomorphic group equipped with a measure. The oligomorphic group $\mathbb{G}$ of order preserving automorphisms of the real line admits exactly four measures. The category $\math... | https://arxiv.org/abs/2601.15574 | Academic Papers | svg |
4dc003bd431ba5d6988b15859e4997c54fe17879c5928314aae91061821755aa | 2026-01-23T00:00:00-05:00 | Open problems in K-stability of Fano varieties | arXiv:2601.15576v1 Announce Type: new Abstract: In this note, we discuss a number of open problems in K-stability theory. | https://arxiv.org/abs/2601.15576 | Academic Papers | svg |
cba2cbd719b15a3cc534c24bff88064f7f24ea348ca7f7513374b602e0ce9487 | 2026-01-23T00:00:00-05:00 | Global solution curves for first order periodic problems, with applications | arXiv:2601.15579v1 Announce Type: new Abstract: Using continuation methods and bifurcation theory, we study the exact multiplicity of periodic solutions, and the global solution structure, for periodic problems of first order. The results are applied to a population model with fishing, and to the existence and stabilit... | https://arxiv.org/abs/2601.15579 | Academic Papers | svg |
cf7cd0360878d78d44959cb2f0c10c90ad235da759280c4f6a7eb61ffad5e6c1 | 2026-01-23T00:00:00-05:00 | A Wild Steiner-Lehmus Chase | arXiv:2601.15591v1 Announce Type: new Abstract: We present a proof the Steiner-Lehmus equal bisectors theorem by applying the Law of sines in rapid succession to a side-by-side comparison. For nearly two centuries, the quest for a direct proof has sustained interest in proving and reproving this theorem. We suggest tha... | https://arxiv.org/abs/2601.15591 | Academic Papers | svg |
0f0e2599564a683882a6dd19f18517543c14d961ea91b4a68a8c37b730e24928 | 2026-01-23T00:00:00-05:00 | Overpartitions with repeated smallest non-overlined part | arXiv:2601.15601v1 Announce Type: new Abstract: Inspired by Andrews' and Bachraoui's work on partitions with repeated smallest part, we extend the concept to overpartitions. | https://arxiv.org/abs/2601.15601 | Academic Papers | svg |
4811fd0e2e5651815207a3ca92d741745445bde86c6af24bb96856c170dd5e67 | 2026-01-23T00:00:00-05:00 | Barcode entropy and relative symplectic cohomology | arXiv:2601.15606v1 Announce Type: new Abstract: In this paper, we study the barcode entropy--the exponential growth rate of the number of not-too-short bars--of the persistence module associated with the relative symplectic cohomology $SH_M(K)$ of a Liouville domain $K$ embedded in a symplectic manifold $M$. Our main r... | https://arxiv.org/abs/2601.15606 | Academic Papers | svg |
2843ac54cfc51d3c7a97d5b35f62e7386b7818d6c36fb08ed355072c5305693c | 2026-01-23T00:00:00-05:00 | Lead distance under a pickoff limit in Major League Baseball: A sequential game model | arXiv:2601.15608v1 Announce Type: new Abstract: Major League Baseball (MLB) recently limited pitchers to three pickoff attempts, creating a cat-and-mouse game between pitcher and runner. Each failed attempt adds pressure on the pitcher to avoid using another, and the runner can intensify this pressure by extending thei... | https://arxiv.org/abs/2601.15608 | Academic Papers | svg |
3967fbd69606c01cc96c63ac1d79ae57687ee4c8cfc58db0bfcbf5a9ca7fc09c | 2026-01-23T00:00:00-05:00 | On the Zeros of the Riemann Zeta Function with Two Ordinate Shifts | arXiv:2601.15610v1 Announce Type: new Abstract: We prove that for any fixed real numbers y_1, y_2 not equal to 0, and constant C > 0, there exists a threshold T_* = T_*(y_1, y_2, C) > 0 such that for all T >= T_*, the interval [T, T(1 + epsilon)], with epsilon = exp(-C sqrt(log T)), contains at least one gamma satisfyi... | https://arxiv.org/abs/2601.15610 | Academic Papers | svg |
713870fccde1421477f44a80db1f029f54bd084061162d2af7f3888e0a5beb22 | 2026-01-23T00:00:00-05:00 | Degree-choosability of proper conflict-free list coloring of sparse graphs | arXiv:2601.15611v1 Announce Type: new Abstract: Given a graph $G$ and a mapping $f:V(G) \to \mathbb{N}$, an $f$-list assignment of $G$ is a function that maps each $v \in V(G)$ to a set of at least $f(v)$ colors. For an $f$-list assignment $L$ of a graph $G$, a proper conflict-free $L$-coloring of $G$ is a proper color... | https://arxiv.org/abs/2601.15611 | Academic Papers | svg |
d3e2809b272dfa6b80cf6eb9442d4ca98a216a7550b1b0054dad14ddfd6f66bd | 2026-01-23T00:00:00-05:00 | Lucas sequences, Pell's equations, and automorphisms of K3 surfaces | arXiv:2601.15617v1 Announce Type: new Abstract: We have the correspondences between Lucas sequences, Pell's equations, and the automorphisms of K3 surfaces with Picard number 2. Using these correspondences, we determine the intersections of some Lucas sequences. | https://arxiv.org/abs/2601.15617 | Academic Papers | svg |
8e4ecb7a2ed781b9d16e17d9299dcdabf7e642b81509e4cb246f46217d62128f | 2026-01-23T00:00:00-05:00 | Existence and uniqueness of $L^1$-solutions to time-fractional nonlinear diffusion equations | arXiv:2601.15618v1 Announce Type: new Abstract: We establish the global existence and uniqueness of $L^1$-solutions to the Cauchy problem for time-fractional porous medium type nonlinear diffusion equations. Furthermore, we give the mass conservation law for $L^1$-solutions to time-fractional fast diffusion equations, ... | https://arxiv.org/abs/2601.15618 | Academic Papers | svg |
59b8d7d727f7db9c5d92772edb537420fb7c734ce22889eca3a3d85f5630b407 | 2026-01-23T00:00:00-05:00 | Limit behavior of linearly edge-reinforced random walks on the half-line | arXiv:2601.15627v1 Announce Type: new Abstract: Motivated by the article [M. Takei, Electron. J. Probab. 26 (2021), article no. 104], we study the limit behavior of linearly edge-reinforced random walks on the half-line $\mathbb{Z}_+$ with reinforcement parameter $\delta>0$, and each edge $\{x,x+1\}$ has the initial we... | https://arxiv.org/abs/2601.15627 | Academic Papers | svg |
44d467acd111a2b276deb7ac3842f5b8188234ec339344fc5699a067d2b942bc | 2026-01-23T00:00:00-05:00 | The $V_1$- and $V_2$-polynomials of a long virtual knot | arXiv:2601.15634v1 Announce Type: new Abstract: We introduce two polynomial invariants $V_1(K;t)$ and $V_2(K;t)$ of a long virtual knot $K$, which generalize the degree-two finite type invariants $v_{2,1}$ and $v_{2,2}$ of Goussarov, Polyak, and Viro. We establish their fundamental properties and show that any pair of ... | https://arxiv.org/abs/2601.15634 | Academic Papers | svg |
d961e0821a50d8d66bf5d7e2e12653d2110dcfc58d161d79bfc72899c24f5ce7 | 2026-01-23T00:00:00-05:00 | Collaboration versus Specialization in Service Systems with Impatient Customers | arXiv:2601.15636v1 Announce Type: new Abstract: We study tandem queueing systems in which servers work more efficiently in teams than on their own and customers are impatient in that they may leave the system while waiting for service. Our goal is to determine the server assignment policy that maximizes the long-run av... | https://arxiv.org/abs/2601.15636 | Academic Papers | svg |
403990bf744b37d04bd62ab71e227baa1ffcca81a580d7f98bd41e3076d4cdae | 2026-01-23T00:00:00-05:00 | Linear stability of the first bifurcation in a tumor growth free boundary problem via local bifurcation structure | arXiv:2601.15647v1 Announce Type: new Abstract: In this paper, we consider a 3-dimensional free boundary problem modeling tumor growth with the Robin boundary condition. The system involves a positive parameter $\mu$ which reflects the intensity of tumor aggressiveness. Huang, Zhang and Hu [Nonlinear Anal. Real World A... | https://arxiv.org/abs/2601.15647 | Academic Papers | svg |
8c695b9b3bee1fd43afdfb93faacf6acf2f44be32a0411791a2dbdc851ded021 | 2026-01-23T00:00:00-05:00 | Iterative Derivations on Central Simple Algebras | arXiv:2601.15648v1 Announce Type: new Abstract: We prove that an iterative derivation $\delta_F$ on a field $F$ can be extended to an iterative derivation $\delta_A$ on a central simple $F-$algebra $A$ if the characteristic of $F$ does not divide the exponent of $A$ in the Brauer group of $F.$ For a central simple $F-$... | https://arxiv.org/abs/2601.15648 | Academic Papers | svg |
f649d854bb10f251b9ecd089bba2a473b235b3826e220c498e411e697fc12054 | 2026-01-23T00:00:00-05:00 | An index theory for transverse trajectories | arXiv:2601.15651v1 Announce Type: new Abstract: In this work, we present an alternative definition of the Le Roux index, which generalizes the Poincar\'e-Hopf index for non-singular planar flows to the broader setting of Brouwer homeomorphisms. This new approach answers a question raised by Le Roux by establishing a co... | https://arxiv.org/abs/2601.15651 | Academic Papers | svg |
14827942cd28cc37be4cc56135784da0949d33b76a98fc90118abe8ef7b2a1ff | 2026-01-23T00:00:00-05:00 | Construction and Box-counting Dimension of the Edelstein Hidden Variable Fractal Interpolation Function | arXiv:2601.15658v1 Announce Type: new Abstract: This paper presents the construction of a hidden variable fractal interpolation function using Edelstein contractions in an iterated function system based on a finite collection of data points. The approach incorporates an iterated function system where variable functions... | https://arxiv.org/abs/2601.15658 | Academic Papers | svg |
b0b4ea20a63152ea536a166d0924e539440b979588e1b8cf963f046ff0ccb00c | 2026-01-23T00:00:00-05:00 | Local smoothing estimates for bilinear Fourier integral operators | arXiv:2601.15667v1 Announce Type: new Abstract: We formulate a local smoothing conjecture for bilinear Fourier integral operators in every dimension $d \ge 2,$ derived from the celebrated linear case due to Sogge, which we refer to as the \emph{bilinear smoothing conjecture}. We show that the linear local smoothing con... | https://arxiv.org/abs/2601.15667 | Academic Papers | svg |
684cbae8253189415e4c803434b7dd04cfaca9829c097ab2b500e78e4a6b0ff9 | 2026-01-23T00:00:00-05:00 | Geometric wavefront sets of genuine Iwahori-spherical representations | arXiv:2601.15670v1 Announce Type: new Abstract: For Iwahori-spherical genuine representations of central covers with positive real Satake parameters, we prove the upper bound inequality for their geometric wavefront sets, formulated for general genuine representations in an earlier work by Gao--Liu--Lo--Shahidi. Meanwh... | https://arxiv.org/abs/2601.15670 | Academic Papers | svg |
eea71fef8fc06ea9032c2848f1e254c9e3f7a7a5ebfc102864d6c5c4ee8014de | 2026-01-23T00:00:00-05:00 | Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts | arXiv:2601.15680v1 Announce Type: new Abstract: Let $a_{r,s}(n)$ denote the number of mutlicolored partitions of $n$, wherein both even parts and odd parts may appear in one of $r$-colors and $s$-colors, respectively, for fixed $r,s\ge 1$. The paper aims to study arithmetic properties satisfied by $a_{r,s}(n)$, using e... | https://arxiv.org/abs/2601.15680 | Academic Papers | svg |
9e8f558f4700bea2aebaac012bcc15bd0ea61863156b7a32945d8bc982fe24de | 2026-01-23T00:00:00-05:00 | Parallelizable Riemannian Alternating Direction Method of Multipliers for Non-convex Pose Graph Optimization | arXiv:2601.15684v1 Announce Type: new Abstract: Pose graph optimization (PGO) is fundamental to robot perception and navigation systems, serving as the mathematical backbone for solving simultaneous localization and mapping (SLAM). Existing solvers suffer from polynomial growth in computational complexity with graph si... | https://arxiv.org/abs/2601.15684 | Academic Papers | svg |
62bb9de4530eb81d79b9be1b36efe25dca10d3db6e19ddb3c890e1564df2560a | 2026-01-23T00:00:00-05:00 | Global regularity for the Navier-Stokes equations with application to global solvability for the Euler equations | arXiv:2601.15685v1 Announce Type: new Abstract: We show that any Leray-Hopf weak solution to the $d$-dimensional Navier-Stokes equations $(d\geq 3)$ with initial values $u_0\in H^{s}(\mathbb R^d)$, $s\geq -1+\frac{d}{2}$, belongs to $L^\infty(0,\infty; H^{s}(\mathbb R^d))$ and thus it is globally regular. For the proof... | https://arxiv.org/abs/2601.15685 | Academic Papers | svg |
8a7dc2d51180829ee83fb972174c9d8fd57b6562fbd072417a196b4fcfff4779 | 2026-01-23T00:00:00-05:00 | Symbolic Rees algebras of space monomial primes of degree 5 | arXiv:2601.15692v1 Announce Type: new Abstract: Let K be a field of characteristic 0. Let P_K(5,103,169) be the defining ideal of the space monomial curve {(t^5,t^{103},t^{169})}. In this paper we shall prove that the symbolic Rees algebra R_s(P_K(5,103,169)) is not Noetherian, that is, is not finitely generated over K... | https://arxiv.org/abs/2601.15692 | Academic Papers | svg |
32a41ea4994ef3408857fe9b9ea73bc299e1be59b875f4121473fa81c1bc2712 | 2026-01-23T00:00:00-05:00 | Rokhlin dimension for actions of residually compact groups | arXiv:2601.15694v1 Announce Type: new Abstract: We introduce the concept of Rokhlin dimension for actions of residually compact groups on C*-algebras, which extends and unifies previous notions for actions of compact groups, residually finite groups and the reals. We then demonstrate that finite nuclear dimension (resp... | https://arxiv.org/abs/2601.15694 | Academic Papers | svg |
be90f7aef90a780ad4bd6eff7d4b1846f01eacb739c8aa52b22d8e75c5ec419a | 2026-01-23T00:00:00-05:00 | Maximal Fuchsian subgroups of the $d=2$ Bianchi group | arXiv:2601.15700v1 Announce Type: new Abstract: Let $\Gamma$ denote the $d = 2$ Bianchi group $\operatorname{PSL}(2,\mathbb{Z}[\sqrt{-2}])$. We give an explicit description of all conjugacy classes of maximal nonelementary Fuchsian subgroups of $\Gamma$ as integral orders of certain indefinite quaternion algebras over ... | https://arxiv.org/abs/2601.15700 | Academic Papers | svg |
33e0def09deb660104a4933ab2cf97295d88d2d52ee706a3ae9d11e710b2c569 | 2026-01-23T00:00:00-05:00 | On mode transition algebras for $\mathbb{Z}$-graded vertex algebras and applications to bosonic ghosts | arXiv:2601.15701v1 Announce Type: new Abstract: We study the mode transition algebras and Zhu algebras in the setting of $\mathbb{Z}$-graded vertex algebras, with particular focus on the Weyl vertex algebra at central charge 2 (also known as bosonic ghosts or the $\beta\gamma$-system). We show that the mode transition ... | https://arxiv.org/abs/2601.15701 | Academic Papers | svg |
99e7155fab13dbfdabceb2e39359919d2272200860f34121f10fd72c347fb153 | 2026-01-23T00:00:00-05:00 | Four-dimensional Lorentzian algebraic Ricci solitons | arXiv:2601.15730v1 Announce Type: new Abstract: We describe four-dimensional Lorentzian algebraic Ricci solitons. In sharp contrast with the Riemannian situation, any connected and simply connected four-dimensional Lie group admits a left-invariant Lorentz metric which is a Ricci soliton. | https://arxiv.org/abs/2601.15730 | Academic Papers | svg |
5a625c54bba502740ab5221c10dd44891aa7662bdc240219e548c76dd32d2143 | 2026-01-23T00:00:00-05:00 | A sequential linear complementarity problem method for generalized Nash equilibrium problems | arXiv:2601.15742v1 Announce Type: new Abstract: We propose a sequential linear complementarity problem (SLCP) method for solving generalized Nash equilibrium problems (GNEPs). By introducing a novel merit function that utilizes the specific structure of GNEPs, we establish global convergence of the method. The conditio... | https://arxiv.org/abs/2601.15742 | Academic Papers | svg |
31addc7d807cdf0391b401ff9a32dc4ba58fde2e6083f0b9f6080d53e435f918 | 2026-01-23T00:00:00-05:00 | Rankin--Cohen brackets in Representation Theory | arXiv:2601.15750v1 Announce Type: new Abstract: The Rankin--Cohen brackets provide a basic example of ``non-elementary" differential symmetry breaking operators. They can be interpreted as bi-differential operators remarkable for reflecting the structure of fusion rules for holomorphic discrete series representations o... | https://arxiv.org/abs/2601.15750 | Academic Papers | svg |
2eb96bb18cecc90f8e313a60e2b825be38d11b4254296f47217c94384855ecb2 | 2026-01-23T00:00:00-05:00 | Stochastically forced compressible Navier-Stokes equations with slip boundary conditions of friction type | arXiv:2601.15768v1 Announce Type: new Abstract: We study a mathematical model of a compressible viscous fluid driven by stochastic forces under slip boundary conditions of friction type. We introduce a notion of a weak solution that is analytically and probabilistically consistent with this model. Our main result estab... | https://arxiv.org/abs/2601.15768 | Academic Papers | svg |
f892695687a92eb2ba51e3c55e73e7e2ddcfaaca8ddec93637f80538869cf7a7 | 2026-01-23T00:00:00-05:00 | Representations of the modular group into the isometries of $\mathrm{SL}_3(\mathbb{R})/\mathrm{SO}(3)$ | arXiv:2601.15781v1 Announce Type: new Abstract: We describe a connected component of the space of conjugacy classes of representations of the modular group $\mathrm{PSL}_2(\mathbb{Z})$ into the isometry group of the symmetric space $\mathrm{SL}_3(\mathbb{R})/\mathrm{SO}(3)$. This connected component contains the family... | https://arxiv.org/abs/2601.15781 | Academic Papers | svg |
040879d3901e236f869738f97d13d17f015977986deedf24351d390c3fda5c39 | 2026-01-23T00:00:00-05:00 | Shuriken Graphs Arising from Clean Graphs of Rings and Their Properties Relative to Base Graphs | arXiv:2601.15783v1 Announce Type: new Abstract: Let $R$ be a finite ring with identity. The idempotent graph $I(R)$ is the graph whose vertex set consists of the non-trivial idempotent elements of $R$, where two distinct vertices $x$ and $y$ are adjacent if and only if $xy = yx = 0$. The clean graph $Cl_2(R)$ is a grap... | https://arxiv.org/abs/2601.15783 | Academic Papers | svg |
405d87a8e617543cedea0697003883953531d3c4d0350e1b4ea7ed403fe0de8f | 2026-01-23T00:00:00-05:00 | Remarks about symmetry-type conditions of conditional bases of Banach spaces | arXiv:2601.15784v1 Announce Type: new Abstract: We investigate the existence of equivalent p-norms, 0< p 1, under which conditional symmetric or spreading bases in quasi-Banach spaces become isometric. For spreading bases (which need not be unconditional or even Schauder bases), we develop new techniques involving the ... | https://arxiv.org/abs/2601.15784 | Academic Papers | svg |
a02a0d0f9162459468cbdf52add17204e3323cfbe6e0c9456a56d22ed88e6157 | 2026-01-23T00:00:00-05:00 | A half-space Liouville theorem for anisotropic minimal graph with free boundary | arXiv:2601.15788v1 Announce Type: new Abstract: In this paper we prove the following Liouville-type theorem: any anisotropic minimal graph with free boundary in the half-space must be flat, provided that the graph function has at most one-sided linear growth. This extends the classical results of Bombieri-De Giorgi-Mir... | https://arxiv.org/abs/2601.15788 | Academic Papers | svg |
15944db2af95a08ba835667f81932ad0162320151490875506d02b0cdf25af6d | 2026-01-23T00:00:00-05:00 | Localization of complementarity eigenvalues | arXiv:2601.15789v1 Announce Type: new Abstract: Let A, B be symmetric n x n real matrices with B positive definite and strictly diagonally dominant. We derive two localization sets for the complementarity eigenvalues of (A, B), the tightest one assuming additionally that A is copositive. This extends He-Liu-Shen sets t... | https://arxiv.org/abs/2601.15789 | Academic Papers | svg |
6b65056df27318dbcda015da53cb5e5180a532936be79ff0a632964674940a4f | 2026-01-23T00:00:00-05:00 | Superpositions of CARMA processes | arXiv:2601.15796v1 Announce Type: new Abstract: We introduce supCARMA processes, defined as superpositions of L\'evy-driven CARMA processes with respect to a L\'evy basis, as a natural extension of the superpositions of Ornstein-Uhlenbeck type processes. We then focus on supCAR$(2)$ processes and show that they can be ... | https://arxiv.org/abs/2601.15796 | Academic Papers | svg |
85f01118deebb221fc08b394fb5e55a2efac301586d849c67d796fa377075430 | 2026-01-23T00:00:00-05:00 | Equivariant linear isometries and infinite little discs operads via transfer systems | arXiv:2601.15800v1 Announce Type: new Abstract: In this article, we apply the recently developed theory of transfer systems to study the relationship between $G$-equivariant linear isometries and infinite little discs operads, for a finite group $G$. This framework allows us to reduce involved topological problems to d... | https://arxiv.org/abs/2601.15800 | Academic Papers | svg |
dd8c736771324354bf7521debd84a147f008d0f8fd9d11f8a9410e09dad23006 | 2026-01-23T00:00:00-05:00 | Optimal stochastic impulse control problem with delay with actions decided at the execution time | arXiv:2601.15803v1 Announce Type: new Abstract: In this paper, we consider a class of stochastic impulse control problem when there is a fixed delay $\Delta$ between the decision and execution times. The dynamics of the controlled system between two impulses is an arbitrary adapted stochastic process. Unlike the most e... | https://arxiv.org/abs/2601.15803 | Academic Papers | svg |
fb7faf767b8681277003d4d58fdd820782aa6708ae41581718243c6ade3e00f7 | 2026-01-23T00:00:00-05:00 | New results on Fourier multipliers on $L^p$: a perspective through unimodular symbols | arXiv:2601.15815v1 Announce Type: new Abstract: The paper focuses on the behaviour of unimodular Fourier multipliers with exponential growth in the context of weighted $L^p$-spaces. Our main result shows that much of the general theory of multipliers is approachable through the theory of unimodular multipliers. Indeed,... | https://arxiv.org/abs/2601.15815 | Academic Papers | svg |
91acc790d7c1c9a16fd28ee899036d194eb3e389f3018df0c8d4cf1d3660f0da | 2026-01-23T00:00:00-05:00 | Weakly pancyclic vertices in dense nonbipartite graphs | arXiv:2601.15822v1 Announce Type: new Abstract: Let $G$ be a graph of girth $g$ and circumference $c.$ A vertex $v$ of $G$ is called weakly pancyclic if $v$ lies on an $\ell$-cycle for every integer $\ell$ with $g\le \ell\le c.$ We prove that if $G$ is a nonbipartite graph of order $n\ge 5$ and size at least $\left\lfl... | https://arxiv.org/abs/2601.15822 | Academic Papers | svg |
a4465d784eba7cf49fdf624884906612da369265f3be0f3a99e81df86831e51b | 2026-01-23T00:00:00-05:00 | Reversibility and symmetry of affine toral automorphisms | arXiv:2601.15827v1 Announce Type: new Abstract: We study reversibility and strong reversibility of affine automorphisms of the two-torus, written as $f_{A,\bar{a}}(\bar{x})=A\bar{x}+\bar{a} \ (\mathrm{mod}\ \mathbb{Z}^2)$. We derive explicit criteria for the reversibility of such maps in terms of the matrix $A$ and the... | https://arxiv.org/abs/2601.15827 | Academic Papers | svg |
26dc9fd75f271f07ab26fa01d686c5bbb96e3a57b22e8fb268b2e7ac63f05024 | 2026-01-23T00:00:00-05:00 | $C^\ast$-extreme points of unital completely positive maps invariant under group action | arXiv:2601.15840v1 Announce Type: new Abstract: In this work, we study a sub-collection of unital completely positive maps from a unital $C^\ast$-algebra $\mathcal{A}$ to $\mathcal{B}(\mathcal{H})$, the algebra of bounded linear operators on a Hilbert space $\mathcal{H}$ in the setting of $C^\ast$-convexity. Let $\tau$... | https://arxiv.org/abs/2601.15840 | Academic Papers | svg |
411de06acb1987b6b703ff4c226060d962ecec29b6a990f0941571d86bfb73c1 | 2026-01-23T00:00:00-05:00 | Riemann-Hilbert approach for the nonlocal modified Korteweg-de Vries equation with a step-like oscillating background | arXiv:2601.15841v1 Announce Type: new Abstract: This work focuses on the Cauchy problem for the nonlocal modified Korteweg-de Vries equation $$ u_t(x,t)+6u(x,t)u(-x,-t)u_x(x,t)+u_{xxx}(x,t)=0, $$ with the oscillating step-like boundary conditions: $u(x,t)\to 0$ as $x\to-\infty$ and $u(x,t)\backsimeq A\cos(2Bx+8B^3t)$ a... | https://arxiv.org/abs/2601.15841 | Academic Papers | svg |
5c4cb24272a6cd63f8ebbe61e3f6c7650afbeb384185e23ada580038c2843fdb | 2026-01-23T00:00:00-05:00 | Weak Centrality: AF-algebras, C(X)-algebras, and group C*-algebras | arXiv:2601.15843v1 Announce Type: new Abstract: We first prove that every AF-algebra is weakly central, thereby resolving a question left open by Archbold--Gogi\'c. We then establish a new characterization of weak centrality for unital $C^*$-algebras in terms of $C(X)$-algebras. The paper concludes with an appendix tha... | https://arxiv.org/abs/2601.15843 | Academic Papers | svg |
6b78b303c4ecc461d3499910354376b334dadd3fc51c756fc37a2cc87e7ec49f | 2026-01-23T00:00:00-05:00 | Quantitative Borg-Levinson theorem for the magnetic Sch\"odinger operator with unbounded electrical potential | arXiv:2601.15847v1 Announce Type: new Abstract: The first author established in [8] a quantitative Borg-Levinson theorem for the Schr\"odinger operator with unbounded potential. In the present work, we extend the results in [8] to the magnetic Schr\"odinger operator. We discuss both the isotropic and anisotropic cases.... | https://arxiv.org/abs/2601.15847 | Academic Papers | svg |
b2acbeb606a810a96d9d09607a702e624156f8097509a9a6728b0f06b401c866 | 2026-01-23T00:00:00-05:00 | Quadratic discrepancy estimates for probability measures on the Heisenberg group | arXiv:2601.15850v1 Announce Type: new Abstract: We initiate the study of quadratic discrepancy for finite point sets on the Heisenberg group $\mathbb H^n$ with respect to upper Ahlfors regular probability measures. For a natural family of test sets given by left translations and dilations of cylindrically defined neigh... | https://arxiv.org/abs/2601.15850 | Academic Papers | svg |
1192e09f68d1daa2f7accf27cdae496f7eaa9bf0caa07fb67111ca3aca05d8e6 | 2026-01-23T00:00:00-05:00 | Synthetic Differential Jet Bundles are Reduced | arXiv:2601.15862v1 Announce Type: new Abstract: We have previously observed that the theory of solutions of partial differential equations, regarded as diffieties inside jet bundles, acquires a powerful comonadic formulation after passage from the category of Fr\'echet smooth manifolds to the Cahiers topos of formal sm... | https://arxiv.org/abs/2601.15862 | Academic Papers | svg |
59007c6fcb80b77c0e1eb5400d2a4cb5f4d98fb8f82d5b9d3d779416324ddea2 | 2026-01-23T00:00:00-05:00 | Tangle structure trees | arXiv:2601.15870v1 Announce Type: new Abstract: We introduce a comprehensive data structure, tangle structure trees, which simultaneously displays all the $\mathcal{F}$-tangles of an abstract separation system for very general obstruction sets $\mathcal{F}$. It simultaneously also displays certificates $\sigma\in\mathc... | https://arxiv.org/abs/2601.15870 | Academic Papers | svg |
a9e02732245e4e7d89478ddf6bc0b80bba6b2b9bf08921daf12c43f1ff461d65 | 2026-01-23T00:00:00-05:00 | Visibility of Lattice Points across Polynomials | arXiv:2601.15877v1 Announce Type: new Abstract: The visibility of lattice points from the origin along a polynomial family of curves constitutes a significant generalization of visibility along straight lines. Following the classical notion, where the density equals 1/2, and its generalization to monomial curves of the... | https://arxiv.org/abs/2601.15877 | Academic Papers | svg |
ee21b2e3e0dfa40d7efc708758c03f374577b4889cf846aff9f33a1600f90476 | 2026-01-23T00:00:00-05:00 | Recovery of nonlinear material parameters in a quasilinear Lam\'e system | arXiv:2601.15881v1 Announce Type: new Abstract: We investigate the inverse problem of determining nonlinear elastic material parameters from boundary stress measurements corresponding to prescribed boundary displacements. The material law is described by a nonlinear, space-independent elastic tensor depending on both t... | https://arxiv.org/abs/2601.15881 | Academic Papers | svg |
4475f97929b3a982cf4799362109a2c4d240e05844bcea45f6f0cfcb900c500f | 2026-01-23T00:00:00-05:00 | Directional polynomial frames on spheres | arXiv:2601.15883v1 Announce Type: new Abstract: We introduce a general framework for the construction of polynomial frames in $L^2(\mathbb{S}^{d-1})$, $d \geq 3$, where the frame functions are obtained as rotated versions of an initial sequence of polynomials $\Psi^j$, $j\in \mathbb{N}_0$. The rotations involved are di... | https://arxiv.org/abs/2601.15883 | Academic Papers | svg |
5bcd9969bced4c96285302100326f20477cffd6af314e9541987a379ae3db083 | 2026-01-23T00:00:00-05:00 | 2-Equivariant 2-Vector bundles and 2K-theories | arXiv:2601.15893v1 Announce Type: new Abstract: We construct a theory of 2-vector bundles over a Lie groupoid, with fibers modeled by the bicategory of super algebras, bimodules and intertwiners. We demonstrate that these 2-vector bundles form a symmetric monoidal 2-stack. From this structure, we define the 2K-theory a... | https://arxiv.org/abs/2601.15893 | Academic Papers | svg |
e513c7162f742856303b155421dfd0fc3df03bdeef23aca5b4c898020a34eab7 | 2026-01-23T00:00:00-05:00 | Convergence to shock profiles for Burgers equation with singular fast-diffusion and boundary effect | arXiv:2601.15900v1 Announce Type: new Abstract: In this paper, we study the asymptotic stability of viscous shock profile for the Burgers equation $u_t +f(u)_x = (\frac{u_{x}}{u^{1-m}})_x$ on the half-space $(0,+\infty)$, subject to the boundary conditions $u|_{x=0}=u_->0$ and $u|_{x=+\infty}=0$. Here, the parameter $\... | https://arxiv.org/abs/2601.15900 | Academic Papers | svg |
2c3b9e1ad08f745643f585d7693b963385dd2ba7627cee22b84316b95dc22435 | 2026-01-23T00:00:00-05:00 | Metric constructions and fixed point theorems in product spaces | arXiv:2601.15907v1 Announce Type: new Abstract: The paper studies a general scheme for constructing metrics on a product of metric spaces by means of a family of continuous convex functions. This construction includes the conventional $p$-metrics and generates metrics that are topologically equivalent to the convention... | https://arxiv.org/abs/2601.15907 | Academic Papers | svg |
273166b908ec31e5e29cf0c95137a2e663dee791c109dd7ebfcc2c9fcb93b2ac | 2026-01-23T00:00:00-05:00 | On the escape rate for intermittent maps with holes shrinking around the indifferent fixed point | arXiv:2601.15908v1 Announce Type: new Abstract: We study non-uniformly expanding maps of the unit interval with a parabolic fixed point at the origin that admit an ergodic absolutely continuous invariant measure, which may be finite or infinite. By introducing a hole defined by an interval containing the parabolic fixe... | https://arxiv.org/abs/2601.15908 | Academic Papers | svg |
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