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7200f48f4876a1f9c3d1ea1fa31b722c1a6dc33f06a3135e20fce494d9c19d5e | 2026-01-13T00:00:00-05:00 | A Note on NBUE and NWBUE Classes of Life Distributions | arXiv:2601.06760v1 Announce Type: new Abstract: Non-monotonic ageing notions are looked upon as an extension of the corresponding monotonic ageing notions in this work. In particular, the New Better than Used in Expectation (NBUE) and the corresponding non-monotonic analogue New Worse then Better than Used in Expectati... | https://arxiv.org/abs/2601.06760 | Academic Papers | svg |
6807e39408f962bfa9ac3a52b4b4d70d7a342bc48d9519e446408232236bb714 | 2026-01-13T00:00:00-05:00 | Massively Parallel Reductions in Multivariate Polynomial Systems: Bridging the Symbolic Preprocessing Gap on GPGPU Architectures | arXiv:2601.06765v1 Announce Type: new Abstract: Gr\"obner basis computation over multivariate polynomial rings remains one of the most powerful yet computationally hostile primitives in symbolic computation. While modern algorithms (Faug\`ere-type F4 and signature-based F5) reduce many instances to large sparse linear ... | https://arxiv.org/abs/2601.06765 | Academic Papers | svg |
43e6c95223711dcc53fdb62395edc0383e579ddd110a223f2496b5fef860a528 | 2026-01-13T00:00:00-05:00 | On the conformal preimage decay exponent of the Julia sets of rational graph-directed Markov systems | arXiv:2601.06785v1 Announce Type: new Abstract: We define and investigate the conformal preimage decay exponent of the Julia sets of rational graph-directed Markov systems. We show that this exponent coincides with the difference between the topological entropy and upper sequential capacity topological pressure for the... | https://arxiv.org/abs/2601.06785 | Academic Papers | svg |
d8ea9b0d9b35b7708206df91435c71a8a3f692067cea0a81e1eddf0ed6eb55b2 | 2026-01-13T00:00:00-05:00 | Generalized Space-Fractional Poisson Process via Variable-Order Stable Subordinator | arXiv:2601.06808v1 Announce Type: new Abstract: This paper introduces a variable-order stable subordinator (VOSS) $S^{\alpha(t)}(t)$ with index $\alpha(t)\in(0,1)$, where $\alpha(t)$ is a right-continuous piecewise constant function. We drive the Generalized Space-Fractional Poisson Process via Variable-Order Stable Su... | https://arxiv.org/abs/2601.06808 | Academic Papers | svg |
0c124a70d0510417835579e9c28e4adb47acacbcc4db28b86dc0914da937eaa9 | 2026-01-13T00:00:00-05:00 | Moment Summation Methods and Non-Homogeneous Carleman Classes | arXiv:2601.06812v1 Announce Type: new Abstract: We extend the classical theorems of F. Nevanlinna and Beurling by characterizing the image of various spaces of smooth functions under the generalized Laplace transform. To achieve this, we introduce and analyze novel non-homogeneous Carleman classes, which generalize the... | https://arxiv.org/abs/2601.06812 | Academic Papers | svg |
c9a9be42a6dacff822075b390aa1431dfbc6b694ae01d1ada7b13291e768c4ed | 2026-01-13T00:00:00-05:00 | Algebraic topology of the Lagrange inversion | arXiv:2601.06814v1 Announce Type: new Abstract: The Lagrange inversion formula for power series is one of the classical formulas from analysis and combinatorics. A nice geometric interpretation of this formula in terms of the Stasheff polytopes was discovered by Loday. We show that it also admits a natural topological ... | https://arxiv.org/abs/2601.06814 | Academic Papers | svg |
387447686083113abb07e07c836285e533d3cf080515c2d2fd47e4196c78902e | 2026-01-13T00:00:00-05:00 | Unimodular Equivalence of Integral Simplices | arXiv:2601.06819v1 Announce Type: new Abstract: Testing the unimodular equivalence of two full-dimensional integral simplices can be reduced to testing unimodular permutation (UP) equivalence of two nonsingular matrices. We conduct a systematic study of UP-equivalence, which leads to the first average-case quasi-polyno... | https://arxiv.org/abs/2601.06819 | Academic Papers | svg |
038a0e1350442ff2bab5a31e6ba55d16cbd143d2049a4e067beb4bf5226568d0 | 2026-01-13T00:00:00-05:00 | Classical elliptic ${\rm BC}_1$ Ruijsenaars-van Diejen model: relation to Zhukovsky-Volterra gyrostat and 1-site classical XYZ model with boundaries | arXiv:2601.06826v1 Announce Type: new Abstract: We present a description of the classical elliptic ${\rm BC}_1$ Ruijsenaars-van Diejen model with 8 independent coupling constants through a pair of ${\rm BC}_1$ type classical Sklyanin algebras generated by the (classical) quadratic reflection equation with non-dynamical... | https://arxiv.org/abs/2601.06826 | Academic Papers | svg |
b5a9b100fd4ce2e4a2d5e7ef197c4c9b7e1ef5731209bf68dbeea0a7d053ad00 | 2026-01-13T00:00:00-05:00 | Homogenization of L\'evy-type operators: operator estimates with correctors | arXiv:2601.06832v1 Announce Type: new Abstract: The goal of the paper is to study in $L_2(\R^d)$ a self-adjoint operator ${\mathbb A}_\eps$, $\eps >0$, of the form $$ ({\mathbb A}_\eps u) (\x) = \int_{\R^d} \mu(\x/\eps, \y/\eps) \frac{\left( u(\x) - u(\y) \right)}{|\x - \y|^{d+\alpha}}\,d\y $$ with $1< \alpha < 2$; her... | https://arxiv.org/abs/2601.06832 | Academic Papers | svg |
1be38beaf62185a779154e610dbe66ee2bcbc7c68719cdd662288180358470bb | 2026-01-13T00:00:00-05:00 | Polyominoes with maximal number of deep holes | arXiv:2601.06840v1 Announce Type: new Abstract: In this paper, we study the extremal behaviour of deep holes in polyominoes. We determine the maximum number, $h_n$ of deep holes that an $n$-omino can enclose, ensuring that the boundary of each hole is disjoint from the boundaries of any other hole and from the outer bo... | https://arxiv.org/abs/2601.06840 | Academic Papers | svg |
5e37db15d43b865cbd7174d7445c2c8ce33d29320231ce4908efbc83a76cc918 | 2026-01-13T00:00:00-05:00 | Explosion and non-explosion in pure birth Crump--Mode--Jagers branching processes | arXiv:2601.06850v1 Announce Type: new Abstract: In this short note, we provide an explicit sufficient condition for non-explosion of Crump--Mode--Jagers branching processes with pure birth reproduction. It shows that the standard sufficient condition for explosion, namely the convergence of the series of reciprocals of... | https://arxiv.org/abs/2601.06850 | Academic Papers | svg |
4dc39e8ab3ba9f172a6448ee4e3893b29761488cdd5703811e37241f22bec97f | 2026-01-13T00:00:00-05:00 | Fixed points and holomorphic structures on line bundles over the quantum projective line $\mathbb{C}\mathrm{P}_q^1$ | arXiv:2601.06852v1 Announce Type: new Abstract: It has recently been observed that, in contrast to the classical case, holomorphic structures on line bundles over the quantum projective line $\mathbb{C}\mathrm{P}_q^1$ are not uniquely determined by degree. In this work, we develop a fixed-point-theoretic framework for ... | https://arxiv.org/abs/2601.06852 | Academic Papers | svg |
b070b752effe77fd6bbcd0ef81b180bb5da8c83e5e43b012ed8fa55d863cba4f | 2026-01-13T00:00:00-05:00 | Complex Analysis and Riemann Surfaces: A Graduate Path to Algebraic Geometry | arXiv:2601.06868v1 Announce Type: new Abstract: These lecture notes present a computation driven pathway from classical complex analysis to the theory of compact Riemann surfaces and their connections to algebraic geometry. The exposition follows a compute first then abstract philosophy, in which analytic and geometric... | https://arxiv.org/abs/2601.06868 | Academic Papers | svg |
c8e7b3d00ea9e9a290e055e087d90736d0a6300bda61b072aabb2e8a4df314fc | 2026-01-13T00:00:00-05:00 | A note on Bohr chaos and hyperbolic sets | arXiv:2601.06869v1 Announce Type: new Abstract: This paper studies the relationship between shadowing phenomena and Bohr chaos in dynamical systems. We provide sufficient conditions for Bohr chaos in terms of shadowing. By combining those conditions with the shadowing lemma, we obtain some results on Bohr chaos and hyp... | https://arxiv.org/abs/2601.06869 | Academic Papers | svg |
fc6faec4aec9d57a7d509c2351e3c5709952ad82bb96f5f3886d58a994283548 | 2026-01-13T00:00:00-05:00 | Nearly Erd\H{o}s-Ko-Rado theorems | arXiv:2601.06871v1 Announce Type: new Abstract: If a family $\mathcal{F}$ of $k$-element subsets of an $n$-element set is pairwise intersecting, $2k\leq n$ then $|\mathcal{F}|\leq {n-1\choose k-1}$ holds by the celebrated Erd\H{o}s-Ko-Rado theorem. But an intersecting family obviously satisfies the condition $${\ell \c... | https://arxiv.org/abs/2601.06871 | Academic Papers | svg |
32fc5a526b4f02c763928ca10db93dc081e0e7f9308a579aa606ed2510fe1c32 | 2026-01-13T00:00:00-05:00 | The Brauer-Manin obstruction of Symmetric products | arXiv:2601.06872v1 Announce Type: new Abstract: This article focuses on smooth, projective, and geometrically integral varieties $X$ over a field $k$, whose geometric Picard group $Pic(X_{\overline{k}})$ is torsion-free. We establish an isomorphism$Br(X)/Br(k) \simeq Br_{nr}\bigl(Sym_{X/k}^{n}\bigr)/Br(k)$, where $Sym_... | https://arxiv.org/abs/2601.06872 | Academic Papers | svg |
5a1e755fa898c9df67d259c329f405bb756c38742bfb6a7bb6eca47e7a552f1f | 2026-01-13T00:00:00-05:00 | The second Hochschild cohomology and deformations of Brauer graph algebras | arXiv:2601.06888v1 Announce Type: new Abstract: In this paper, we give an explicit description about the second Hochschild cohomology groups of bipartite Brauer graph algebras with trivial grading. Based on this, we provide geometric interpretations of deformations associated to some standard cocycles in terms of the s... | https://arxiv.org/abs/2601.06888 | Academic Papers | svg |
f29b595dbf349fa752fcf61b77544c96a20ddb381f6d6d48299a2b512fad853b | 2026-01-13T00:00:00-05:00 | Global regularity and sharp decay to the 2D Hypo-Viscous compressible Navier-Stokes equations | arXiv:2601.06889v1 Announce Type: new Abstract: In this paper, we consider the global regularity and the optimal time decay rate for the 2D isentropic hypo-viscous compressible Navier-Stokes equations. Firstly, we prove that there exists a global strong solution with the small initial data are close to the constant equ... | https://arxiv.org/abs/2601.06889 | Academic Papers | svg |
afd8d3e39177945b316d8882c254e874150dc4ca7210e623c0dacf411234b007 | 2026-01-13T00:00:00-05:00 | Absorption times for discrete Whittaker processes and non-intersecting Brownian bridges | arXiv:2601.06893v1 Announce Type: new Abstract: We present evidence for a conjectural relationship between absorption times for discrete Whittaker processes and maximal heights of non-intersecting Brownian bridges. | https://arxiv.org/abs/2601.06893 | Academic Papers | svg |
138caae7382bb2732f44ae9aff684260100a474172fa19fd268e38e53ada70b9 | 2026-01-13T00:00:00-05:00 | Explicit Evaluations of Euler Sums Involving Harmonic Numbers with Rational Arguments | arXiv:2601.06895v1 Announce Type: new Abstract: This study presents explicit evaluations of the series \begin{equation*} \sum_{k=1}^\infty \frac{H_{k/n}^{(p)}}{k^q} \quad \text{and} \quad \sum_{k=1}^\infty \frac{(-1)^k H_{k/2n}^{(p)}}{k^q}, \quad p,q,n \in \mathbb{Z}_{\ge 1},\; q \ne 1, \end{equation*} for odd values o... | https://arxiv.org/abs/2601.06895 | Academic Papers | svg |
0b0faa8b92730b499e6ac64f1188929d7189404c23b7708d608edcaf1fbf593d | 2026-01-13T00:00:00-05:00 | Elimination ideals of Pl\"ucker ideals and algebras with straightening laws | arXiv:2601.06897v1 Announce Type: new Abstract: It is well known that the Pl\"ucker ideal defining the Grassmannian is generated by quadratic Pl\"ucker relations. These relations form a reverse lexicographic Gr\"obner basis and endow the Pl\"ucker algebra with the structure of an algebra with straightening laws (ASL). ... | https://arxiv.org/abs/2601.06897 | Academic Papers | svg |
83d8aecc343f2469693eac78a47ea72171b7520b9b21a7c37a247267a9f8d1eb | 2026-01-13T00:00:00-05:00 | Existence results for a non-relativistic Chern-Simons model with purely mutual interaction | arXiv:2601.06901v1 Announce Type: new Abstract: We are concerned with a skew-symmetric singular Liouville system arising in non-relativistic Chern-Simons theory. Based on its variational structure, we establish existence and multiplicity results. Since the energy functional is indefinite, standard variational approache... | https://arxiv.org/abs/2601.06901 | Academic Papers | svg |
c93741727b4f8f7d78e4ae9a85d158852fc4a014a7907e2685658ac4f93019e5 | 2026-01-13T00:00:00-05:00 | The edge-isoperimetric inequality for powers of cycles | arXiv:2601.06912v1 Announce Type: new Abstract: This note provides a complete solution to a certain version of the edge-isoperimetric problem for powers of a cycle graph. Namely, it shows that the maximum number of edges inside a vertex subset of $C_n^s$ of size $k$ is achieved by a set of $k$ consecutive vertices. | https://arxiv.org/abs/2601.06912 | Academic Papers | svg |
6081ab8d2c2f8af7faf5816b8c3b21be1b15b0f7c3f535ba80d65dc09d2159c8 | 2026-01-13T00:00:00-05:00 | Infinite sumsets in $U^k(\Phi)$-uniform sets | arXiv:2601.06915v1 Announce Type: new Abstract: Extending recent developments of Kra, Moreira, Richter and Roberson, we study infinite sumset patterns in $U^k(\Phi)$-uniform subsets of the integers, defined via the local uniformity seminorms introduced by Host and Kra. The main result relates the degree $k$ of a $U^k(\... | https://arxiv.org/abs/2601.06915 | Academic Papers | svg |
9a1f58d6c96f2379bdeacea36a3558a2ea1bd40e2c97dc31802de66ea94e8f58 | 2026-01-13T00:00:00-05:00 | Asymptotic formulas for phase recovering from phaseless data of biharmonic waves at a fixed frequency | arXiv:2601.06917v1 Announce Type: new Abstract: This paper focuses on phase retrieval from phaseless total-field data in biharmonic scattering problems. We prove that a phased biharmonic wave can be uniquely determined by the modulus of the total biharmonic wave within a nonempty domain. As a direct corollary, the uniq... | https://arxiv.org/abs/2601.06917 | Academic Papers | svg |
164dc1c38b7999a7bcb8f9422de3a21fd85b24f5aa7efe89bdf2200be632d8b4 | 2026-01-13T00:00:00-05:00 | On the zero-free region for the chromatic polynomial of claw-free graphs with and without induced square and induced diamond | arXiv:2601.06918v1 Announce Type: new Abstract: Given a claw-free graph $G=(V,E)$ with maximum degree $\Delta$, we define the parameter $\kappa\in [0,1]$ as $\kappa={\max_{v\in V}|I_v|\over \lfloor\Delta^2/4\rfloor}$ where $I_v$ is the set of all independent pairs in the neighborhood of $v$. We refer to $\kappa$ as the... | https://arxiv.org/abs/2601.06918 | Academic Papers | svg |
584814b8f67486af48a1becfa81dda293d486d36a1a9ee28a2571aa91a678f22 | 2026-01-13T00:00:00-05:00 | The structure of Morse flows and co-dimension one gradient flows on the sphere with holes | arXiv:2601.06926v1 Announce Type: new Abstract: We describe all possible topological structures of typical one-parameter bifurcations of gradient flows on the 2-sphere with holes in the case that the number of singular point of flows is at most six. To describe structures, we separatrix diagrams of flows. The saddle-no... | https://arxiv.org/abs/2601.06926 | Academic Papers | svg |
b6e2aad1e57565a537f4bdddcd0ce44d3060ef950534410a5b6ae63b50f814bc | 2026-01-13T00:00:00-05:00 | Deep level Deligne--Lusztig induction for tamely ramified tori | arXiv:2601.06929v1 Announce Type: new Abstract: Deep level Deligne--Lusztig representations, which are natural analogues of classical Deligne--Lusztig representations, recently play an important role in geometrization of irreducible supercuspidals of $p$-adic groups. In this paper, we propose a construction of deep lev... | https://arxiv.org/abs/2601.06929 | Academic Papers | svg |
5e154cf0702efcc2cbba39b1c1d6e7d6cb3e0b20aa333b1e494e10289812f5e1 | 2026-01-13T00:00:00-05:00 | The symplectic left companion of a Littlewood-Richardson-Sundaram tableau and the Kwon property | arXiv:2601.06930v1 Announce Type: new Abstract: As a consequence of the Littlewood-Richardson (LR) commuters coincidence and the Kumar-Torres branching model via Kushwaha-Raghavan-Viswanath flagged hives, we have solved the Lecouvey-Lenart conjecture on the bijections between the Kwon and Sundaram branching models for ... | https://arxiv.org/abs/2601.06930 | Academic Papers | svg |
53edbcbe2cd45e5f1732a630f6444902d1077f0824510a3042c399e4dd2a3d8d | 2026-01-13T00:00:00-05:00 | Profinite genus of HNN-extensions with finite associated subgroups | arXiv:2601.06934v1 Announce Type: new Abstract: We study the profinite genus of HNN-extensions whose associated subgroups are finite. We give precise formulas for the number of isomorphism classes of HNN(G,H,K,t,f) and of its profinite completion and compute the profinite genus of such an HNN-extension HNN(G,H,K,t,f). ... | https://arxiv.org/abs/2601.06934 | Academic Papers | svg |
485ccbf84db5fae4be06791a29392f2c3735d58b6514e5339fc3f0c61c72b6ee | 2026-01-13T00:00:00-05:00 | Wave packet systems and connections to spectral analysis of limiting operators | arXiv:2601.06945v1 Announce Type: new Abstract: We discuss the design of ``wave packet systems'' that admit strong concentration properties in phase space. We make a connection between this problem and topics in signal processing related to the spectral behavior of spatial and frequency-limiting operators. The results ... | https://arxiv.org/abs/2601.06945 | Academic Papers | svg |
33e0a0aef507e69b6188c1da31d3332e5dd4983411444af71ca44fb3608c9aec | 2026-01-13T00:00:00-05:00 | Normalized Rank- and Determinant-Preserving Mappings of Locally Matrix Algebras | arXiv:2601.06950v1 Announce Type: new Abstract: Let $A$ be a unital locally matrix algebra. Among the examples of such algebras are: (1) an infinite tensor product $\otimes M_{n_i}(\mathbb{F})$ of matrix algebras over a field $\mathbb{F}$, and (2) the Clifford algebra of a nondegenerate quadratic form on an infinite-di... | https://arxiv.org/abs/2601.06950 | Academic Papers | svg |
9c0d79cf7bc42d1675a41fa14d3e37a0e4272a14483a7d376a719ef57cc3583c | 2026-01-13T00:00:00-05:00 | A note on the lower bounds of the first nonzero Steklov eigenvalue on compact manifolds | arXiv:2601.06951v1 Announce Type: new Abstract: Let $(\Omega^{n+1}, g)$ be an $(n+1)$-dimensional smooth compact connected Riemannian manifold with smooth boundary $\Sigma$, satisfying that ${\text{Ric}_{\Omega}}\ge 0$ and $\Sigma$ is strictly convex, more precisely, its second fundamental form $h\ge cg_{\Sigma}$ for s... | https://arxiv.org/abs/2601.06951 | Academic Papers | svg |
3c24d377c83d8c9532a21ad06133ce54de0b8b6d4a6a0304715366b50e3018ba | 2026-01-13T00:00:00-05:00 | Splitting Proximal Point Algorithms for the Sum of Prox-Convex Functions | arXiv:2601.06970v1 Announce Type: new Abstract: This paper addresses the minimization of a finite sum of prox-convex functions under Lipschitz continuity of each component. We propose two variants of the splitting proximal point algorithms proposed in \cite{Bacak,Bertsekas}: one deterministic with a fixed update order,... | https://arxiv.org/abs/2601.06970 | Academic Papers | svg |
246c79652e832830c04ed1e54017a7962f814220c25746c4dbaa446dfb1be0af | 2026-01-13T00:00:00-05:00 | A belief-state restless bandit model for treatment adherence: Whittle indexability via partial conservation laws | arXiv:2601.06976v1 Announce Type: new Abstract: We study capacity-constrained treatment-adherence outreach via a belief-state restless multi-armed bandit model where patients are a partially observed two-state (adherent/nonadherent) Markov processes and interventions induce reset-type belief dynamics. Using partial con... | https://arxiv.org/abs/2601.06976 | Academic Papers | svg |
32bb4a3bf1e333b5c96f6f1af161b3ab6b54628d47520b6154242d471e2f9147 | 2026-01-13T00:00:00-05:00 | Alternating Direction Method of Multipliers for nonlinear constrained convex problems and applications to distributed resource allocation and constrained machine learning | arXiv:2601.06977v1 Announce Type: new Abstract: We study a class of structured convex optimization problems, which have a two-block separable objective and nonlinear functional constraints as well as affine constraints that couple the two block variables. Such problems naturally arise from distributed resource allocati... | https://arxiv.org/abs/2601.06977 | Academic Papers | svg |
961fb7ed04e8e213505e4c1bf5ca3435e1196c8edee766b3206555eb57ab1391 | 2026-01-13T00:00:00-05:00 | On globally invariant Euler--Lagrange equations for curves | arXiv:2601.06985v1 Announce Type: new Abstract: Invariant Lagrangians yield invariant Euler-Lagrange equations, and it was discussed in the literature how to compute those using various local methods. The focus of this paper is on global algebraic differential invariants. In this case the computation can be modified in... | https://arxiv.org/abs/2601.06985 | Academic Papers | svg |
461709cfea5e4a149a4212ad9a08a05d2936be78342dc9a5dd3746569557a4f7 | 2026-01-13T00:00:00-05:00 | Single conflict coloring and palette sparsification of uniform hypergraphs | arXiv:2601.06990v1 Announce Type: new Abstract: We introduce and investigate single conflict coloring in the setting of r-uniform hypergraphs. We establish some basic properties of this hypergraph coloring model and study a probabilistic model of single conflict coloring where the conflicts for each edge are chosen ran... | https://arxiv.org/abs/2601.06990 | Academic Papers | svg |
255d27dd1263bfa204021b019665fa05d3c6c1848ba30b88626d67b789317c95 | 2026-01-13T00:00:00-05:00 | Policy stability and ultimate stationarity in discounted risk-sensitive stochastic control | arXiv:2601.06998v1 Announce Type: new Abstract: We study discrete-time Markov Decision Processes (MDPs) on finite state-action spaces and analyze the stability of optimal policies and value functions in the long-run discounted risk-sensitive objective setting. Our analysis addresses robustness with respect to perturbat... | https://arxiv.org/abs/2601.06998 | Academic Papers | svg |
99e917afb8ab79e06f60efb8c86b6c91ad2ccac8b1702067c7a40ace0e846211 | 2026-01-13T00:00:00-05:00 | Product representations of perfect powers | arXiv:2601.07000v1 Announce Type: new Abstract: Let $\rho_k(N)$ denote the maximum size of a set $A\subseteq \{1,2,\dots,N\}$ such that no product of $k$ distinct elements of $A$ is a perfect $d$-th power. In this short note, we prove that $\rho _d(N)=\sum\limits_{k=1}^{d-1}\pi\left( \frac{N}{k} \right) +O_d(\pi (N^{1/... | https://arxiv.org/abs/2601.07000 | Academic Papers | svg |
aca643e11bd02a2ea3fd72b3024456131abe2bf8ba5e416f673334838294f75e | 2026-01-13T00:00:00-05:00 | The G\"unt\"urk-Thao theorem revisited: polyhedral cones and limiting examples | arXiv:2601.07002v1 Announce Type: new Abstract: In 2023, G\"unt\"urk and Thao proved that the sequence $(x^{(n)})_{n\in\mathbb{N}}$ generated by random (relaxed) projections drawn from a finite collection of innately regular closed subspaces in a real Hilbert space satisfies $\sum_{n\in\mathbb{N}} \|x^{(n)}-x^{(n+1)}\|... | https://arxiv.org/abs/2601.07002 | Academic Papers | svg |
297c08b828d87ff0e1cfbe09e7c6273b56d02334d31147af615eefb36c1a26c5 | 2026-01-13T00:00:00-05:00 | Higher order Petri Loci | arXiv:2601.07026v1 Announce Type: new Abstract: Denote by ${\mathcal P}_{g,d}^{r,k}$ the subset of the moduli space of curves of genus g consisting of those curves that have a linear series of degree d and dimension r for which the Petri map has kernel of dimension at least k. We show the existence of codimension k com... | https://arxiv.org/abs/2601.07026 | Academic Papers | svg |
262c82fba56e9484411d9ee02b72b8d0d2ab020ea57d3151556aeca64ef798de | 2026-01-13T00:00:00-05:00 | Characterizations of $G$-ANR spaces and inverse limits | arXiv:2601.07027v1 Announce Type: new Abstract: In this paper we prove that, for a compact group $G$, a metrizable $G$-space is a $G$-ANR under the following asumptions: (1) if it dominates a $G$-ANR space through a fine $G$-homotopy equivalence; (2) if it is $G$-homotopy dense in a $G$-ANR; (3) if it contains a $G$-AN... | https://arxiv.org/abs/2601.07027 | Academic Papers | svg |
50806b5d5445ddf3c5330926ca7e494e12bec856bc14b0806c5c60ecb4b12274 | 2026-01-13T00:00:00-05:00 | Quantitative convergence rates for extended mean field games with volatility control | arXiv:2601.07028v1 Announce Type: new Abstract: We investigate the convergence of symmetric stochastic differential games with interactions via control, where the volatility terms of both idiosyncratic and common noises are controlled. We apply the stochastic maximum principle, following the approach of Lauri\`{e}re an... | https://arxiv.org/abs/2601.07028 | Academic Papers | svg |
854d31bc652224ccd9b2f863185cd167cab15194859e8b1a22fb74c9775e637b | 2026-01-13T00:00:00-05:00 | On families of monic polynomials | arXiv:2601.07029v1 Announce Type: new Abstract: In this paper we derive generalizations of different properties of monic polynomial families of binomial type, i.e. families of monic polynomials, for which the binomial theorem holds $$ p_n(\alpha+\beta)=\sum_{k=0}^n \left(\vphantom{\bigg|}\genfrac{}{}{0pt}{0}{n}{k}\righ... | https://arxiv.org/abs/2601.07029 | Academic Papers | svg |
83f600ee6a2c625b21d8291155b4c8b79439e5a11816112a4e9d342fef04c120 | 2026-01-13T00:00:00-05:00 | Special $L$-values of certain CM weight three Hecke eigenforms | arXiv:2601.07030v1 Announce Type: new Abstract: Ramanujan's theories of elliptic functions to alternative bases for modular forms connect hypergeometric series with modular forms and have led to applications such as the modularity of certain hypergeometric Galois representations. In this paper, we relate special values... | https://arxiv.org/abs/2601.07030 | Academic Papers | svg |
e4f277b56f01ce151c40089ee65ebd9bf331f1a5186c43d18e3fa02459adfdae | 2026-01-13T00:00:00-05:00 | A PDE approach for the invariant measure of stochastic oscillators with hysteresis | arXiv:2601.07039v1 Announce Type: new Abstract: This paper presents a PDE approach as an alternative to Monte Carlo simulations for computing the invariant measure of a white-noise-driven bilinear oscillator with hysteresis. This model is widely used in engineering to represent highly nonlinear dynamics, such as the Ba... | https://arxiv.org/abs/2601.07039 | Academic Papers | svg |
906189b54b7947053915f64e22c6c65d14d859c6c60b0fd1d97d860eadfc2025 | 2026-01-13T00:00:00-05:00 | The topological and smooth Hausmann-Weinberger invariants disagree | arXiv:2601.07040v1 Announce Type: new Abstract: For $\pi$ a finitely presented group, Hausmann and Weinberger defined $q(\pi) \in \mathbb Z$ to be the minimum Euler characteristic over all closed, oriented $4$-manifolds with fundamental group $\pi$. This short note establishes that this minimum value in general differs... | https://arxiv.org/abs/2601.07040 | Academic Papers | svg |
2886b3c378e1d21dcb00cb01aebf368e15281103f2b834375a61cb511a7392a7 | 2026-01-13T00:00:00-05:00 | A Tannakian description of the local Kaletha gerbe | arXiv:2601.07042v1 Announce Type: new Abstract: We construct, for a $p$-adic field $F$, an explicit semisimple Tannakian category $\text{RigIsoc}_{F}$ whose category of fiber functors recovers Kaletha's Galois gerbe $\mathcal{E}_{\text{Kal}}$. We then classify and write down the simple objects in $\text{RigIsoc}_{F}$, ... | https://arxiv.org/abs/2601.07042 | Academic Papers | svg |
1c0c486a405cf9910ae3b2a710a23072fc91079686f37a020942862569e2b093 | 2026-01-13T00:00:00-05:00 | From Continuous to Discrete: a No-U-Turn Sampler for Permutations | arXiv:2601.07045v1 Announce Type: new Abstract: We introduce a discrete-space analogue of the No-U-Turn sampler on the symmetric group $S_n$, yielding a locally adaptive and reversible Markov chain Monte Carlo method for $\mathrm{Mallows}(d,\sigma_0)$. Here $d:S_n\times S_n\to[0,\infty)$ is any fixed distance on $S_n$,... | https://arxiv.org/abs/2601.07045 | Academic Papers | svg |
620c0e7a53a2f350d2a2cb4ca65943be076828286f1b0fd6fbb1b4a0109670df | 2026-01-13T00:00:00-05:00 | Idempotents and Powers of Ideals in Quandle Rings | arXiv:2601.07057v1 Announce Type: new Abstract: This article addresses two central problems in the theory of quandle rings. First, motivated by Conjecture 3.10 in Internat. J. Math. 34 (2023), no. 3, Paper No. 2350011: for a semi-latin quandle $X$, every nonzero idempotent in the integral quandle ring $\mathbb{Z}[X]$ n... | https://arxiv.org/abs/2601.07057 | Academic Papers | svg |
4057698d4b4eeb79b1f91c91b87ec65c9a973ba4bbb4384bda891b12a7a30796 | 2026-01-13T00:00:00-05:00 | Lebesgue points of measures and non tangential convergence of Poisson-Hermite integrals | arXiv:2601.07063v1 Announce Type: new Abstract: We study differentiability conditions on a complex measure $\nu$ at a point $x_0\in\mathbb{R}^d$, in relation with the boundary convergence at that point of the Poisson-type integral $P_t\nu=e^{-t\sqrt L}\nu$, where $L=-\Delta+|x|^2$ is the Hermite operator. In particular... | https://arxiv.org/abs/2601.07063 | Academic Papers | svg |
a901e6b7156199fde1d8c1328f3cafb6667bce55c0f58bd56c4939c21c1043cc | 2026-01-13T00:00:00-05:00 | Varieties of associative algebras with an identity of third degree | arXiv:2601.07066v1 Announce Type: new Abstract: We give a complete description of the varieties of associative algebras over a field of characteristic zero which satisfy a polynomial identity of third degree. | https://arxiv.org/abs/2601.07066 | Academic Papers | svg |
41d147970e0807f38e2860bae4c6671dcf08a98c94feaf6237d5eb2b322c8bb7 | 2026-01-13T00:00:00-05:00 | Greenberg's conjecture and Iwasawa module of Real biquadratic fields II | arXiv:2601.07067v1 Announce Type: new Abstract: In this paper we are interested in the stability of the $2$-rank of the class group in the cyclotomic $\mathbb{Z}_2$-extension of real biquadratic fields. In fact, we give several families of real biquadratic fields $K$ such that $ rank(A(K)) =rank(A_\infty(K))$ and $rank... | https://arxiv.org/abs/2601.07067 | Academic Papers | svg |
b36d6ff92efbd0b152f908088407191d3a758d34eb406a7d69b297f1d0c34466 | 2026-01-13T00:00:00-05:00 | The Greedy Algorithm for Dissociated Sets | arXiv:2601.07068v1 Announce Type: new Abstract: A set $\mathcal S\subset \mathbb N$ is said to be a \textit{subset-sum-distinct} or \textit{dissociated} if all of its finite subsets have different sums. Alternately, an equivalent classification is if any equality of the form $$\sum_{s\in \mathcal S} \varepsilon_s \cdot... | https://arxiv.org/abs/2601.07068 | Academic Papers | svg |
a2eae85cd74b8524a9e62a33e523970091f89341c09f4a2e4189cd360d586ff8 | 2026-01-13T00:00:00-05:00 | Diffraction by a Right-Angle Penetrable Wedge: Closed-Form Solution for General Refractive Index | arXiv:2601.07070v1 Announce Type: new Abstract: We consider the two-dimensional time-harmonic transmission problem for an impedance-matched ($\rho=1$) right-angle penetrable wedge at general refractive index ratio $\nu>1$. Starting from Sommerfeld spectral representations, the transmission conditions on the two wedge f... | https://arxiv.org/abs/2601.07070 | Academic Papers | svg |
cef97b4c8b4cfd8027d44ba35e34d564930bc89524bc7b7023ddf54051e93ac7 | 2026-01-13T00:00:00-05:00 | Volume of the domain bounded by a Hermitian quadric in complex projective space | arXiv:2601.07077v1 Announce Type: new Abstract: We compute explicitly the Riemannian volume, with respect to the Fubini-Study metric, of a domain bounded by a Hermitian quadric in complex projective space. The volume is a rational function of the eigenvalues of the defining quadratic form. | https://arxiv.org/abs/2601.07077 | Academic Papers | svg |
897b49d888fdb36c9aa949a0f18fbf3096e1653c82693f351870c0587ffc9b52 | 2026-01-13T00:00:00-05:00 | An Inverse Almost Periodic Problem for a Semilinear Strongly Damped Wave Equation | arXiv:2601.07081v1 Announce Type: new Abstract: The paper investigates an inverse boundary value problem for a semilinear strongly damped wave equation with the Dirichlet boundary condition in Sobolev spaces of bounded (in particular, almost periodic and periodic) functions. In addition to finding a weak solution, we a... | https://arxiv.org/abs/2601.07081 | Academic Papers | svg |
142adfadd846b9e220dff9342ea807da8473d784c27c00cce6b7727f9f7ac0d6 | 2026-01-13T00:00:00-05:00 | The infinitude of square-free palindromes | arXiv:2601.07097v1 Announce Type: new Abstract: We settle an open problem regarding palindromes; that is, positive integers which are the same when written forwards and backwards. In particular, we prove that for any fixed base $b\geq 2$, there exist infinitely many square-free palindromes in base $b$. We also provide ... | https://arxiv.org/abs/2601.07097 | Academic Papers | svg |
7bbdfcff4b6c2c16d8b2cb8dc684a6c5651a176bea77a3bbaa78e384fbd30d61 | 2026-01-13T00:00:00-05:00 | A Dichotomy for Inverse-Semigroup Crossed Products via Dynamical Cuntz Semigroups | arXiv:2601.07100v1 Announce Type: new Abstract: We characterise stable finiteness and pure infiniteness of the essential crossed product of a C*-algebra by an action of an inverse semigroup. Under additional assumptions, we prove a stably finite / purely infinite dichotomy. Our main technique is the development, using ... | https://arxiv.org/abs/2601.07100 | Academic Papers | svg |
ee94ee13a176b9faee4f7e0d2b55690241809400f2c188e380473ec0fb1875ad | 2026-01-13T00:00:00-05:00 | Inverse problems for history-enriched linear model reduction | arXiv:2601.07101v1 Announce Type: new Abstract: Standard projection-based model reduction for dynamical systems incurs closure error because it only accounts for instantaneous dependence on the resolved state. From the Mori-Zwanzig (MZ) perspective, projecting the full dynamics onto a low-dimensional resolved subspace ... | https://arxiv.org/abs/2601.07101 | Academic Papers | svg |
c533699862fd46e74860bd3637a05e3ae79d4d43a7bb3b578f28f39482818dc1 | 2026-01-13T00:00:00-05:00 | Large Deviations for the d'Arcais Numbers | arXiv:2601.07103v1 Announce Type: new Abstract: The d'Arcais polynomials $P_n(z)$ for $n\in\{0,1,\dots\}$ are defined as $\sum_{n=0}^{\infty} P_n(z) q^n = \exp(-z\ln((q;q)_{\infty}))$ where the $q$-Pochhammer symbol is $(q;q)_{\infty} = \prod_{k=1}^{\infty} (1-q^k)$ for $|q|<1$. Denoting the coefficients for $n \in \ma... | https://arxiv.org/abs/2601.07103 | Academic Papers | svg |
e2e5c0778578ec324dd83cd1f52d53f70a84ecb337bef5dd7493fdf5fdbfb4db | 2026-01-13T00:00:00-05:00 | A sharp point-sphere incidence bound for $(u, s)$-Salem sets | arXiv:2601.07105v1 Announce Type: new Abstract: We establish a sharp point-sphere incidence bound in finite fields for point sets exhibiting controlled additive structure. Working in the framework of \((4,s)\)-Salem sets, which quantify pseudorandomness via fourth-order additive energy, we prove that if \(P\subset \mat... | https://arxiv.org/abs/2601.07105 | Academic Papers | svg |
47ac092d2cb23691eb1302469f2e76183e3879c953886cc62c1cf3e60014a266 | 2026-01-13T00:00:00-05:00 | Center-freeness of finite-step solvable groups arising from anabelian geometry | arXiv:2601.07112v1 Announce Type: new Abstract: Anabelian geometry suggests that, for suitably geometric objects, their \'etale fundamental group determines the object up to isomorphism. From a group-theoretic viewpoint, this philosophy requires rigidity properties of the associated \'etale fundamental groups, which of... | https://arxiv.org/abs/2601.07112 | Academic Papers | svg |
62aec9128f22c40c72edb7d401fa557deaa4e21da657c59790d621b90828f9ab | 2026-01-13T00:00:00-05:00 | Asymptotic values of solutions to a periodic linear difference equation modeling discrimination training | arXiv:2601.07113v1 Announce Type: new Abstract: This work is concerned with the study of $w(mT)$ as $m$ goes to infinity, where $w(t)$ evolves according to $w(t)-w(t-1)=F(t)-A(t)w(t-1)$, and where $T$ is the period of the vector $F(t)$ and the matrix $A(t)$. Motivated by applications to associative learning, particular... | https://arxiv.org/abs/2601.07113 | Academic Papers | svg |
630f09bc3729838515933ed599dbb1d385dbc77d93b28e2adcb0a20db0247d88 | 2026-01-13T00:00:00-05:00 | Cyclic Modulation Control of Multi-Conflict Connected Automated Traffic | arXiv:2601.07114v1 Announce Type: new Abstract: Multi-conflict traffic is ubiquitous. Connected Automated Vehicles (CAVs) offer unprecedented opportunities to enhance safety, reduce emissions, and increase throughput through precise coordination and automation. However, existing CAV strategies remain confined to specia... | https://arxiv.org/abs/2601.07114 | Academic Papers | svg |
fa6eaa79bacf0290c82864e2ea1ab08a2739cd5040bfd08f4139ea5677b650c7 | 2026-01-13T00:00:00-05:00 | The Interval $[\mathsf{V}(S_7),\mathsf{V}(B_2^1)]$ of Semiring Varieties Has the Cardinality of the Continuum | arXiv:2601.07116v1 Announce Type: new Abstract: We prove that the interval $[\mathsf{V}(S_7),\mathsf{V}(B_2^1)]$ in the lattice of additively idempotent semiring (ai-semiring) varieties has the cardinality of the continuum,where $S_7$ is the smallest nonfinitely based ai-semiring (a three-element algebra), and $B_2^1$ ... | https://arxiv.org/abs/2601.07116 | Academic Papers | svg |
3d1fed458d742961418903a657d4b198735cae1c76a8c1856ec496cf9081ab70 | 2026-01-13T00:00:00-05:00 | Minimum and extremal process for a branching random walk outside the boundary case | arXiv:2601.07129v1 Announce Type: new Abstract: This work extends the studies on the minimum and extremal process of a supercritical branching random walk outside the boundary case which cannot be reduced to the boundary case. We study here the situation where the log-generating function explodes at $1$ and the random ... | https://arxiv.org/abs/2601.07129 | Academic Papers | svg |
260a7d950107828bdc187cb3ac8e2f4ad2549741f7ec65b2224cfe1b4a916e7c | 2026-01-13T00:00:00-05:00 | Decompositions for Cyclic Groups with 3 Prime Factors | arXiv:2601.07135v1 Announce Type: new Abstract: In this paper, we characterize the direct sum decompositions of the cyclic group $\mathbb{Z}_{(pqr)^2}$, where $p$, $q$, and $r$ are distinct primes. We show that if $A \oplus B = \mathbb{Z}_{(pqr)^2}$ with $|A| = |B| = pqr$, then Sands' conjecture fails to hold, in other... | https://arxiv.org/abs/2601.07135 | Academic Papers | svg |
30faf56bc93e605d2ae9b6bc09c07030b377616c7f2dc9cc915da8b9d3193e46 | 2026-01-13T00:00:00-05:00 | Local and global $C^{1,\beta}$-regularity for uniformly elliptic quasilinear equations of $p$-Laplace and Orlicz-Laplace type | arXiv:2601.07140v1 Announce Type: new Abstract: We establish gradient H\"older continuity for solutions to quasilinear, uniformly elliptic equations, including $p$-Laplace and Orlicz-Laplace type operators. We revisit and improve upon the results existing in the literature, proving gradient regularity both in the inter... | https://arxiv.org/abs/2601.07140 | Academic Papers | svg |
f61f2c92aa8ccde35c81372d466610159449f38330a83a0d3b98be9b4f5a858d | 2026-01-13T00:00:00-05:00 | Constructing left-continuous triangular norms on complete lattices | arXiv:2601.07146v1 Announce Type: new Abstract: This article focuses on the construction of left-continuous t-norms on complete lattices. The concepts of $\mathfrak{f}$-mappings and weak $\mathfrak{f}$-mappings on complete lattices are first introduced, respectively. They are then applied to establish the following key... | https://arxiv.org/abs/2601.07146 | Academic Papers | svg |
11cb96084c0d682b4b0e19d5bf270afbb22434ed79938a68065350b2b6fcd359 | 2026-01-13T00:00:00-05:00 | Blues for Alice: The Interplay of Neo-Riemannian and Cadential Viewpoints | arXiv:2601.07161v1 Announce Type: new Abstract: We extend a property of Mazzola's theory of cadential sets in relation to the modulation between minor and major tonalities from triadic to tetradic harmony, using the PLRQ group of Cannas et al. (2017) as the analogue of the classical PLR group. While the PLR group conne... | https://arxiv.org/abs/2601.07161 | Academic Papers | svg |
d444f9abded6372735575c1ba8a42d1125aee62569ba198d4e30958e2b767456 | 2026-01-13T00:00:00-05:00 | Jordan decompositions in Lie algebras and their duals | arXiv:2601.07168v1 Announce Type: new Abstract: We provide a discussion of Jordan decompositions in the Lie algebra, and the dual Lie algebra, of a reductive group in as uniform a way as possible. We give a counterexample to the claim that Jordan decompositions on the dual Lie algebra are unique, and state an upper bou... | https://arxiv.org/abs/2601.07168 | Academic Papers | svg |
a7c60927e5e6196c13ca73cd0bf8373385636055295a43cd3641b0c0cd780f08 | 2026-01-13T00:00:00-05:00 | The spinor type number formula for totally definite quaternion orders | arXiv:2601.07171v1 Announce Type: new Abstract: Let $D$ be a totally definite quaternion algebra over a totally real number field $F$, and $\mathcal{O}$ be an $O_F$-order (of full rank) in $D$. The type number $t(\mathcal{O})$ is an important arithmetic invariant of $\mathcal{O}$ that counts the number of isomorphism c... | https://arxiv.org/abs/2601.07171 | Academic Papers | svg |
c3d9e8e869489effdaf1e498a515f421ae3825e398369e343e1eb3f7e5bd8801 | 2026-01-13T00:00:00-05:00 | Optimal Equivariant Matchings on the 6-Cube: With an Application to the King Wen Sequence | arXiv:2601.07175v1 Announce Type: new Abstract: We characterize perfect matchings on the Boolean hypercube {0,1}^n that are equivariant under the Klein four-group K_4 generated by bitwise complement and reversal. For n = 6, we prove there exists a unique K_4-equivariant matching minimizing total Hamming cost among matc... | https://arxiv.org/abs/2601.07175 | Academic Papers | svg |
89bdf1a858c3c2e0cff308ab92eccf9d8008764ac78fed66dcbcac96fcb2c56f | 2026-01-13T00:00:00-05:00 | Local linearization for the nonlinear damped stochastic Klein-Gordon equation | arXiv:2601.07176v1 Announce Type: new Abstract: For the $1+1$ dimensional nonlinear damped stochastic Klein-Gordon equation driven by space-time white noise, we prove that the second-order increments of the solution can be approximated, after scaling with the diffusion coefficient, by those of the corresponding lineari... | https://arxiv.org/abs/2601.07176 | Academic Papers | svg |
c1905faffaeb468e0062887d033faa5e56e1414afd9eec0de6210b30fd34b59e | 2026-01-13T00:00:00-05:00 | Lu's conjecture for minimal surfaces | arXiv:2601.07194v1 Announce Type: new Abstract: After Chern's conjecture on the discreteness of the constant scalar curvatures of compact minimal submanifolds $M^n$ in unit spheres $\mathbb{S}^{n+q}$, Z. Q. Lu proposed a conjecture regarding the second gap, based on his ingenious refinement of the known first gap theor... | https://arxiv.org/abs/2601.07194 | Academic Papers | svg |
2742c0e0e5310ca7d43e0abd3e675cdbebe1f381b0318e0d91d88ee50fcffc61 | 2026-01-13T00:00:00-05:00 | On symmetric pattern avoidance sets | arXiv:2601.07195v1 Announce Type: new Abstract: For a set of permutations $S\subseteq S_n$, consider the quasisymmetric generating function $$Q(S): = \sum_{w\in S}F_{n, \mathrm{Des}(w)},$$ where $\mathrm{Des}(w) := \{i\mid w(i)> w(i+1)\}$ is the descent set of $w$ and $F_{n, \mathrm{Des}(w)}$ is Gessel's fundamental qu... | https://arxiv.org/abs/2601.07195 | Academic Papers | svg |
b03e36929b6058edd0bc6b405b3ff9873749478a4201d1388e5a778279d574e0 | 2026-01-13T00:00:00-05:00 | Posinormality and the Root Problem | arXiv:2601.07203v1 Announce Type: new Abstract: The paper extends three results regarding the nth root problem by embedding classes of Hilbert-space operators into the class of posinormal operators. For instance, it is shown that (i) for coposinormal operators, if T is paranormal and T^n is quasinormal, then T is norma... | https://arxiv.org/abs/2601.07203 | Academic Papers | svg |
3042141cc1c7623b8a97875a320ef2a2109b16f142e1cdd85644c3a41da6c440 | 2026-01-13T00:00:00-05:00 | The motivic class of the space of genus $0$ maps to the flag variety | arXiv:2601.07222v1 Announce Type: new Abstract: Let $\operatorname{Fl}_{n+1}$ be the variety of complete flags in $\mathbb{A}^{n+1}$ and let $\Omega^{2}_{\beta}(\operatorname{Fl}_{n+1})$ be the space of based maps $f:\mathbb{P}^{1}\to \operatorname{Fl}_{n+1}$ in the class $f_{*}[\mathbb{P}^{1}]=\beta$. We show that und... | https://arxiv.org/abs/2601.07222 | Academic Papers | svg |
547b56f8712d91c62735be8a707adba90250fc6acc08751b1a1f16db745906a1 | 2026-01-13T00:00:00-05:00 | Wasserstein Concentration of Empirical Measures for Dependent Data via the Method of Moments | arXiv:2601.07228v1 Announce Type: new Abstract: We establish a general concentration result for the 1-Wasserstein distance between the empirical measure of a sequence of random variables and its expectation. Unlike standard results that rely on independence (e.g., Sanov's theorem) or specific mixing conditions, our res... | https://arxiv.org/abs/2601.07228 | Academic Papers | svg |
48f3f02febd0015c270717d78812ece68069cbba465ac6f11f3fb4b64d09968c | 2026-01-13T00:00:00-05:00 | Configured locally smooth cohomology and $\mathbb{Q}/\mathbb{Z}$-torsion in $H_3$ of diffeomorphism groups | arXiv:2601.07230v1 Announce Type: new Abstract: We introduce configured group cohomology, a variant of locally smooth cohomology built from well-configured tuples and geometric fillings. This framework yields explicit locally smooth $\R/\Z$-valued $3$-cocycles of Chern--Simons type on diffeomorphism groups preserving g... | https://arxiv.org/abs/2601.07230 | Academic Papers | svg |
1f964860bab59f737c4ffd3aa042fa9684fedb05f231521d34e8f3b735fe25e7 | 2026-01-13T00:00:00-05:00 | Integrable Stochastic Processes Associated with the $D_2$ Algebra | arXiv:2601.07265v1 Announce Type: new Abstract: We introduce novel integrable stochastic processes associated with the $D_2$ quantum group, which can be decomposed into two XXX spin chains (or two symmetric simple exclusion processes). We establish the integrability of the model under three types of boundary conditions... | https://arxiv.org/abs/2601.07265 | Academic Papers | svg |
4f9cba4ae69b4e0eacf5b73765450717d874953970f0d0299b4ac6ff9396b13d | 2026-01-13T00:00:00-05:00 | Homogeneous spaces with geodesic orbit Riemannian metrics and with integrable invariant distributions | arXiv:2601.07277v1 Announce Type: new Abstract: We consider homogeneous spaces of Lie groups with compact stabilizer subgroups of two types: those with integrable invariant distributions and those with geodesic orbit invariant Riemannian metrics. The latter means that for an arbitrary invariant Riemannian metric on the... | https://arxiv.org/abs/2601.07277 | Academic Papers | svg |
037922ad2342a26f19caff9c037203a696f7426fc3adbf911f1eddb6614f755f | 2026-01-13T00:00:00-05:00 | On faithfulness and DP-transformations generated by arithmetic Cantor series expansions | arXiv:2601.07285v1 Announce Type: new Abstract: The paper is devoted to the study of conditions for the Hausdorff-Besicovitch faithfulness of the family of cylinders generated by Cantor series expansions. We show that there exist subgeometric Cantor series expansions for which the corresponding families of cylinders ar... | https://arxiv.org/abs/2601.07285 | Academic Papers | svg |
4cba773fb1e9da816db1af9fdd64c6530da4fa568afa7f4cff12c332fa8badd8 | 2026-01-13T00:00:00-05:00 | Weak majorization inequalities for the cubic and quartic coefficients of $e^{(A+B)t}$ versus $e^{At}e^{Bt}$ | arXiv:2601.07286v1 Announce Type: new Abstract: Let $A,B\in\mathbb{H}_n$ and set $H=A+B$. For each integer $k\ge 1$ define $$ Q_k:=\sum_{p=0}^k \binom{k}{p} A^pB^{k-p}, R_k:=\Re\,Q_k=\frac{Q_k+Q_k^*}{2}. $$ Then $H^k=\left.\frac{d^k}{dt^k}e^{Ht}\right|_{t=0}$ and $Q_k=\left.\frac{d^k}{dt^k}(e^{At}e^{Bt})\right|_{t=0}$.... | https://arxiv.org/abs/2601.07286 | Academic Papers | svg |
6385647b03fa93fd8c0f1da5b0a6a408b66a507465eb38b3c15a0724bce3599d | 2026-01-13T00:00:00-05:00 | Irregularities of special C-pairs | arXiv:2601.07318v1 Announce Type: new Abstract: This paper studies irregularity-type invariants of special C-pairs, or "geometric orbifolds" in the sense of Campana. Under mild assumptions on the singularities, we show that the augmented irregularity of a C-pair (X,D) is bounded by its dimension. This generalizes earli... | https://arxiv.org/abs/2601.07318 | Academic Papers | svg |
46dd73f74b2f3073d211f36b5b5a2581fa47dbdd819a317abd8ffa1c1a02c5a2 | 2026-01-13T00:00:00-05:00 | Finslerian geometrodynamics | arXiv:2601.07321v1 Announce Type: new Abstract: We construct a unified framework of geometrodynamics based on the Finsler geometry to reveal the relationship between spacetime and dynamics.The Lagrangian of electron in electromagnetic field as the Finsler function gives the Finslerian metric, which modifies spacetime m... | https://arxiv.org/abs/2601.07321 | Academic Papers | svg |
220539e24a98e24ad2de82c299b3c9d700314d4bbc28465ac99298de0fc5d766 | 2026-01-13T00:00:00-05:00 | On polynomial equations over split-octonions: the arbitrary field case | arXiv:2601.07332v1 Announce Type: new Abstract: Over the split-octonion algebra defined over an arbitrary field, we solve all polynomial equations whose coefficients are scalar except for the constant term. As an application, we determine the square and cubic roots of an octonion. | https://arxiv.org/abs/2601.07332 | Academic Papers | svg |
75e6b8462e32285939e04fe63ef50764ae3146ded0839a00b5d2fb480cddb800 | 2026-01-13T00:00:00-05:00 | Uniform bounds for Neumann heat kernels and their traces in convex sets | arXiv:2601.07341v1 Announce Type: new Abstract: We prove a bound on the heat trace of the Neumann Laplacian on a convex domain that captures the first two terms in its small-time expansion, but is valid for all times and depends on the underlying domain only through very simple geometric characteristics. This is proved... | https://arxiv.org/abs/2601.07341 | Academic Papers | svg |
dcd177f0dcf34ebbee2acb981d0dfeedb12f92d46f8cd8b99e809105e4248542 | 2026-01-13T00:00:00-05:00 | A proposal for the algebra of a novel noncommutative spacetime | arXiv:2601.07350v1 Announce Type: new Abstract: We investigate the quantum structure of spacetime at fundamental scales via a novel, Lorentz-invariant noncommutative coordinate framework. Building on insights from noncommutative geometry, spectral theory, and algebraic quantum field theory, we systematically construct ... | https://arxiv.org/abs/2601.07350 | Academic Papers | svg |
8f14d1c35c618e1cdcb510eb3540216eb5b31ffcabbddcc00f61563f63f669c1 | 2026-01-13T00:00:00-05:00 | Homotopy categories of admissible model structures on extriangulated categories | arXiv:2601.07352v1 Announce Type: new Abstract: The extriangulated category is a simultaneous generalization of exact categories and triangulated categories. H. Nakaoka and Y. Palu have proved that the homotopy category of an admissible model structure on a weakly idempotent complete extriangulated category is a triang... | https://arxiv.org/abs/2601.07352 | Academic Papers | svg |
79e754320b01531386457464cc73e78a31eff77e58938169cd33fe774dba6cb4 | 2026-01-13T00:00:00-05:00 | Pro-\'etale motives and solid rigidity | arXiv:2601.07358v1 Announce Type: new Abstract: We introduce coefficient systems of pro-\'etale motives and pro-\'etale motivic spectra with coefficients in any condensed ring spectrum and show that they afford the six operations. Over locally \'etale bounded schemes, \'etale motivic spectra embed into pro-\'etale moti... | https://arxiv.org/abs/2601.07358 | Academic Papers | svg |
f0490f20405ce76a28f59755c8238b03b80a7be70a8d4b37a56d36aa00e72f9b | 2026-01-13T00:00:00-05:00 | On the geometry of generalised Koch snowflakes | arXiv:2601.07371v1 Announce Type: new Abstract: We consider the geometry of a class of fractal sets in $\mathbb{R}^{2}$ that generalise the famous Koch curve and Koch snowflake. While the classical Koch curve is defined by an iterative process that divides a line segment into three parts and replaces the middle part by... | https://arxiv.org/abs/2601.07371 | Academic Papers | svg |
a7a02d329018eb93242c97b1a5503e53360c658914847051a2000fde78d987f0 | 2026-01-13T00:00:00-05:00 | On the Enumeration of Generalized Cospectral Mates of Graphs | arXiv:2601.07373v1 Announce Type: new Abstract: This paper investigates the enumeration of generalized cospectral mates of simple graphs, where the generalized spectrum consists of the spectra of a graph and its complement. Moving beyond the classical problem of identifying graphs determined by their generalized spectr... | https://arxiv.org/abs/2601.07373 | Academic Papers | svg |
b2104d06b476d7f6557ef14741d42a208392dcc245a660b961e33e65ce606970 | 2026-01-13T00:00:00-05:00 | Igusa stacks for certain abelian-type Shimura varieties | arXiv:2601.07383v1 Announce Type: new Abstract: We construct Igusa stacks for the good reduction locus of a class of abelian-type Shimura varieties that can be defined in terms of a PEL datum, under the assumption that it is of type (A even) or (C) and unramified at a prime p. | https://arxiv.org/abs/2601.07383 | Academic Papers | svg |
0a5c779bdda08bb16b0b5cfb0365458cf2f9b8cd15e50ae2f6f887c179a43a22 | 2026-01-13T00:00:00-05:00 | A Coherent Version of Geometric Satake Equivalence for Type A | arXiv:2601.07390v1 Announce Type: new Abstract: In this paper we prove a coherent version of geometric Satake equivalence proposed in Cautis-Williams' work arXiv:2306.03023 for type A. In their work, they studied an abelian version of the classical limit Satake category, namely, the Koszul perverse heart of the categor... | https://arxiv.org/abs/2601.07390 | Academic Papers | svg |
d97befd57a97b7e90c4c91dff5c0fa889f4ebef8e0082dc8597d15447dd51c1d | 2026-01-13T00:00:00-05:00 | Stationary internal waves in a two-dimensional aquarium at low viscosity | arXiv:2601.07391v1 Announce Type: new Abstract: We prove the uniform solvability of a stationary problem associated to internal waves equation with small viscosity in a two dimensional aquarium with real-analytic boundary, under a Morse--Smale dynamical assumption. This is achieved by using complex deformations of the ... | https://arxiv.org/abs/2601.07391 | Academic Papers | svg |
d4ece6d652d00202a566340ebe9f9ae103cecb1da7533d50e66657658b94528e | 2026-01-13T00:00:00-05:00 | Modeling and analysis of a novel two-strain dengue epidemics model considering secondary infections with increased mortality | arXiv:2601.07403v1 Announce Type: new Abstract: In this study, we develop and analyze a deterministic two-strain host--vector model for dengue transmission that incorporates key immuno-epidemiological mechanisms, including temporary cross-immunity, antibody-dependent enhancement (ADE), disease-induced mortality during ... | https://arxiv.org/abs/2601.07403 | Academic Papers | svg |
b120d39a7fb80cf5159fd4a02b8cdfe20c87d9772570cab553f54fcbcdd79f86 | 2026-01-13T00:00:00-05:00 | Bipartite Tur\'an problem on cographs | arXiv:2601.07406v1 Announce Type: new Abstract: A cograph is a graph that contains no induced path $P_4$ on four vertices or equivalently a graph that can be constructed from vertices by sum and product operations. We study the bipartite Tur\'an problem restricted to cographs: for fixed integers $s \leq t$, what is the... | https://arxiv.org/abs/2601.07406 | Academic Papers | svg |
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