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0061641704cdd8028d86fd961af16a3f7c18c7cffb2395acdc63bb1aa4f296ba | 2026-01-16T00:00:00-05:00 | On refinements of two-term Machin-like formulas | arXiv:2601.10300v1 Announce Type: new Abstract: We develop a refinement process for two-term Machin-like formulas: $a_0 \arctan{u_0} + a_1 \arctan{u_1} = \frac{\pi}{4}$ (where $a_0 , a_1 \in \mathbb{Z}$, $u_0 , u_1 \in \mathbb{Q}_+^*$, $u_0 > u_1$) by exploiting the continued fraction expansion of the ratio $\alpha := ... | https://arxiv.org/abs/2601.10300 | Academic Papers | svg |
7e2597ec4336c754a45941ec7b8aef5627b2d0ba1349d7ab67361da340171bb7 | 2026-01-16T00:00:00-05:00 | On Force Interactions for Electrodynamics-Like Theories | arXiv:2601.10308v1 Announce Type: new Abstract: A framework for premetric p-form electrodynamics is proposed. Independently of particular constitutive relations, the corresponding Maxwell equations are derived as a special case of stress theory in geometric continuum mechanics. Expressions for the potential energy of a... | https://arxiv.org/abs/2601.10308 | Academic Papers | svg |
cf71a0d38f999ef16c32528d01a28dd330d82d187a01f2e4d0e4206694daf644 | 2026-01-16T00:00:00-05:00 | Deformations of Chow groups via cyclic homology | arXiv:2601.10309v1 Announce Type: new Abstract: Let $X$ be a smooth projective variety over an arbitrary field $k$ of characteristic zero. We explore infinitesimal deformations of the Chow group $CH^{p}(X)$ via its formal completion $\widehat{CH}^{p}$, a functor defined on the category of local augmented Artinian $k$-a... | https://arxiv.org/abs/2601.10309 | Academic Papers | svg |
6d69adc2ddd2a2afb1826bde473595d31e487c558b5725866e7a1e7fd550d406 | 2026-01-16T00:00:00-05:00 | On the characterization of geometric distance-regular graphs | arXiv:2601.10330v1 Announce Type: new Abstract: In 2010, Koolen and Bang proposed the following conjecture: For a fixed integer $m \geq 2$, any geometric distance-regular graph with smallest eigenvalue $-m$, diameter $D \geq 3$ and $c_2 \geq 2$ is either a Johnson graph, a Grassmann graph, a Hamming graph, a bilinear f... | https://arxiv.org/abs/2601.10330 | Academic Papers | svg |
54aa5a1d1a86063ff4fe9726d8fe884d307b28a20b406d6fed54a68b4662d78d | 2026-01-16T00:00:00-05:00 | Polymultiplicative maps associated with the algebra of Iterated Laurent series and the higher-dimensional Contou-Carrere Symbol | arXiv:2601.10335v1 Announce Type: new Abstract: We study functorial polymultiplicative maps from the multiplicative group of the algebra of $n$-times iterated Laurent series over a commutative ring in $n+1$ variables into the multiplicative group of the ring. It is proven that if such a map is invariant under continuou... | https://arxiv.org/abs/2601.10335 | Academic Papers | svg |
2ed603673a094b9238d957918453c5e38eace3d1bcd3b7a87de11801bdaf4276 | 2026-01-16T00:00:00-05:00 | Triggered urn models for frequently asked questions (FAQ) | arXiv:2601.10337v1 Announce Type: new Abstract: We investigate a nonclassic urn model with triggers that increase the number of colors. The scheme has emerged as a model for web services that set up frequently asked questions (FAQ). We present a thorough asymptotic analysis of the FAQ urn scheme in generality that cove... | https://arxiv.org/abs/2601.10337 | Academic Papers | svg |
8e9ba160f9aae67e693c2b371dfbe40ef854d600b4d5a2ab443f6b5529b626b0 | 2026-01-16T00:00:00-05:00 | Characteristic free Galois rings and generalized Weyl algebras | arXiv:2601.10346v1 Announce Type: new Abstract: This paper develops from scratch a theory of Galois rings and orders over arbitrary fields. Our approach is different from others in the literature in that there is no non-modularity assumption. We prove, when the field is algebraically closed, the analogue of the Main Th... | https://arxiv.org/abs/2601.10346 | Academic Papers | svg |
395f5a0614df277db960083278647f15624218dc5fedafdc5e2c31396d6350ed | 2026-01-16T00:00:00-05:00 | Waring's problem for pseudo-polynomials | arXiv:2601.10351v1 Announce Type: new Abstract: Waring's problem has a long history in additive number theory. In its original form it deals with the representability of every positive integer as sum of $k$-th powers with integer $k$. Instead of these powers we deal with pseudo-polynomials in this paper. A pseudo-polyn... | https://arxiv.org/abs/2601.10351 | Academic Papers | svg |
41f1f5e214015b241082d0e0e805b0e2ecfe80dda13f7522e090a09505c9664f | 2026-01-16T00:00:00-05:00 | An It\^o Formula via Predictable Projection for Non-Semimartingale Processes | arXiv:2601.10359v1 Announce Type: new Abstract: We derive an It\^o-type change-of-variables formula for a class of adapted stochastic processes that do not necessarily admit semimartingale structure. The formulation is based on an intrinsic Hilbert-space derivative together with a predictable projection operator, allow... | https://arxiv.org/abs/2601.10359 | Academic Papers | svg |
1b1433a3c0a00e106b62f0cc6faba120326dd26cbc3949699b12981b52213a7d | 2026-01-16T00:00:00-05:00 | On UC-multipliers for multiple trigonometric systems | arXiv:2601.10360v1 Announce Type: new Abstract: We investigate the class of sequences $w(n)$ that can serve as almost-everywhere convergence Weyl multipliers for all rearrangements of multiple trigonometric systems. We show that any such sequence must satisfy the bounds $\log n\lesssim w(n)\lesssim\log^2 n$. Our main r... | https://arxiv.org/abs/2601.10360 | Academic Papers | svg |
99c1e59f25a048f7502e9e5bcf191a25e6f8a4af02012798f1fbc135924dea5a | 2026-01-16T00:00:00-05:00 | A two-step inertial method with a new step-size rule for variational inequalities in hilbert spaces | arXiv:2601.10370v1 Announce Type: new Abstract: In this paper, a two-step inertial Tseng extragradient method involving self-adaptive and Armijo-like step sizes is introduced for solving variational inequalities with a quasimonotone cost function in the setting of a real Hilbert space. Weak convergence of the sequence ... | https://arxiv.org/abs/2601.10370 | Academic Papers | svg |
27f5d1dd9fb3d327e1874e50d166053a84172fee690b666cc29e2b59905a9c31 | 2026-01-16T00:00:00-05:00 | On surgeries from lens space $L(p,1)$ to $L(q,2)$ | arXiv:2601.10377v1 Announce Type: new Abstract: We mainly use the d-invariant surgery formula established by Wu and Yang \cite{wu2025surgerieslensspacestype} to study the distance one surgeries along a homologically essential knot between lens spaces of the form $L(p,1)$ and $L(q,2)$ where $p,q$ are odd integers. | https://arxiv.org/abs/2601.10377 | Academic Papers | svg |
eccdc59c373f90ca6b93594d62ec363b2494be26fbf4bcdb1782c2e7367ab18d | 2026-01-16T00:00:00-05:00 | Phase Space structure on Clifford Algebras | arXiv:2601.10381v1 Announce Type: new Abstract: I argue that the Hodge structure on a Euclidean Clifford algebra $Cl(n)$ provides a way to generalise K\"ahler structure to higher dimensions, in the sense that the paired variables are now associated with $k-$ and $(n-k)-$ dimensional subspaces rather than with vectors. ... | https://arxiv.org/abs/2601.10381 | Academic Papers | svg |
fdcb9a04128ec134ca820dbb2f46a7fa1022396d41a4494e501579613fc611ab | 2026-01-16T00:00:00-05:00 | Algebraic Farkas Lemma and Strong Duality for Perturbed Conic Linear Programming | arXiv:2601.10390v1 Announce Type: new Abstract: This paper addresses the study of algebraic versions of Farkas lemma and strong duality results in the very broad setting of infinite-dimensional conic linear programming in dual pairs of vector spaces. To this end, purely algebraic properties of perturbed optimal value f... | https://arxiv.org/abs/2601.10390 | Academic Papers | svg |
549b9b1b051995b88573bfcf9b5e3acf8e56bddef5a8a7a322d94a17d7112424 | 2026-01-16T00:00:00-05:00 | A proof of Alexander's conjecture on an inequality of Cassels | arXiv:2601.10411v1 Announce Type: new Abstract: Let $z_1,\dots,z_n$ be complex numbers with $|z_j|\le \rho$, where $\rho>1$. Cassels proved that, under an additional restriction on $\rho$, the inequality \[ \prod_{j\ne k}\bigl|1-\overline{z_j}z_k\bigr| \le \left(\frac{\rho^{2n}-1}{\rho^2-1}\right)^{\!n} \] holds. In a ... | https://arxiv.org/abs/2601.10411 | Academic Papers | svg |
742093bd9826980d2014414fd2b02f209634456cf3d7b73c76bf4c975e262440 | 2026-01-16T00:00:00-05:00 | Optimality in nonlocal time-dependent obstacle problems | arXiv:2601.10417v1 Announce Type: new Abstract: This paper showcases the effectiveness of the quasiconvexity property in addressing the optimal regularity of the temporal derivative and establishes conditions for its continuity in nonlocal time-dependent obstacle problems. | https://arxiv.org/abs/2601.10417 | Academic Papers | svg |
2738d2ad413493e298a62bc8583c9d2fa3af14d7c08dea881f3707534fdeafb4 | 2026-01-16T00:00:00-05:00 | On the Canonical Construction of Simple Lie Superalgebras | arXiv:2601.10419v1 Announce Type: new Abstract: Axioms for the generalization of root systems were defined and classified (irreducible) by V. Serganova, which precisely correspond to the root systems of basic classical Lie Superalgebras. Here, we present a unified method for constructing simple Lie Superalgebras from t... | https://arxiv.org/abs/2601.10419 | Academic Papers | svg |
1e85dfa6da74a40b77aceed80a6b3f1297417acfa0e5f53debd38cbf0c647f6c | 2026-01-16T00:00:00-05:00 | Positivity of Schur forms for Griffiths positive vector bundles of rank three over complex threefolds | arXiv:2601.10424v1 Announce Type: new Abstract: In this paper, we prove the positivity of the double mixed discriminant associated with a positive linear map between spaces of \(3\times 3\) complex matrices, thereby settling the three-dimensional case of Finski's open problem. As an application, we show that all Schur ... | https://arxiv.org/abs/2601.10424 | Academic Papers | svg |
3f35afd10fffa6679b2dc63fdd7543568276cd006dc448744e22a20e6a181171 | 2026-01-16T00:00:00-05:00 | Algebraic functional equation for big Galois representations over multiple $\mathbb{Z}_p$-extensions | arXiv:2601.10426v1 Announce Type: new Abstract: We present a general approach to establish algebraic functional equations for big Galois representations over multiple $\mathbb{Z}_p$-extensions. Our result is formulated in both Selmer group and Selmer complex settings, and encompasses a broad range of Iwasawa-theoretic ... | https://arxiv.org/abs/2601.10426 | Academic Papers | svg |
317e85d5256e6503213dfda194c914b1d44b619464f1bbea40bbdeb75c863c5a | 2026-01-16T00:00:00-05:00 | Geometric characterization of frictional impacts by means of breakable kinetic constraints | arXiv:2601.10432v1 Announce Type: new Abstract: In the context of geometric Impulsive Mechanics of systems with a finite number of degrees of freedom, we model the roughness of a unilateral constraint ${\mathcal S\/}$ by introducing a suitable instantaneous kinetic constraint ${\mathcal B\/}\subset {\mathcal S\/}$. A c... | https://arxiv.org/abs/2601.10432 | Academic Papers | svg |
bc07f90e13f545b2035976586bef941b7c0930900b37381f960323ce46d1c375 | 2026-01-16T00:00:00-05:00 | Linear identities for partition pairs with $4$-cores | arXiv:2601.10438v1 Announce Type: new Abstract: We determine an infinite family of linear identities for the number $A_4(n)$ of partition pairs of $n$ with $4$-cores by employing elementary $q$-series techniques and certain $3$-dissection formulas. We then discover an infinite family of congruences for $A_4(n)$ as a co... | https://arxiv.org/abs/2601.10438 | Academic Papers | svg |
90751abfec7901f88c1a9b17d88ebcf20e1c54d965159f5c8182601508d4bda6 | 2026-01-16T00:00:00-05:00 | Non-Intrusive Hyperreduction by a Physics-Augmented Neural Network with Second-Order Sobolev Training | arXiv:2601.10442v1 Announce Type: new Abstract: The finite element method is an indispensable tool in engineering, but its computational complexity prevents applications for control or at system-level. Model order reduction bridges this gap, creating highly efficient yet accurate surrogate models. Reducing nonlinear se... | https://arxiv.org/abs/2601.10442 | Academic Papers | svg |
0cc470d4ddce693c170b6b67bfb89e8f1ebe66d24a863074c00b25b7f348cb48 | 2026-01-16T00:00:00-05:00 | Umbral theory and the algebra of formal power series | arXiv:2601.10443v1 Announce Type: new Abstract: Umbral theory, formulated in its modern version by S. Roman and G.~C. Rota, has been reconsidered in more recent times by G. Dattoli and collaborators with the aim of devising a working computational tool in the framework of special function theory. Concepts like umbral i... | https://arxiv.org/abs/2601.10443 | Academic Papers | svg |
f3da51b5bb798904ae58c4af87a01aded61816950619f5c0779899f1a9481cc0 | 2026-01-16T00:00:00-05:00 | Symmetric spaces, non-formal star products and Drinfel'd twists | arXiv:2601.10456v1 Announce Type: new Abstract: These notes refer to a minicourse I gave at the occasion of the conference meeting ``Applications of Noncommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Time'' to be held from 7 April to 11 April 2025 at the Centre International de Rencontres Math... | https://arxiv.org/abs/2601.10456 | Academic Papers | svg |
cad366d4697305030ea2012a18b51b52a4f6c3ab8436313b9e3b1ee15a08fc38 | 2026-01-16T00:00:00-05:00 | The Wiener Wintner and Return Times Theorem Along the Primes | arXiv:2601.10459v1 Announce Type: new Abstract: We prove the following Return Times Theorem along the sequence of prime times, the first extension of the Return Times Theorem to arithmetic sequences: For every probability space, $(\Omega,\nu)$, equipped with a measure-preserving transformation, $T \colon \Omega \to \Om... | https://arxiv.org/abs/2601.10459 | Academic Papers | svg |
757405181544972dfdcda3e0fa53748dd5e4c83d4a0e2ce1d94d6276cd5fd85f | 2026-01-16T00:00:00-05:00 | On the projective dimension of some deformations of Weyl arrangements | arXiv:2601.10466v1 Announce Type: new Abstract: We show that the logarithmic derivation module of (the cone of) the deformation A of a Weyl arrangement associated with a root system of simply laced type has projective dimension one if the deforming parameter ranges from -j to j+2. In addition, we give an explicit minim... | https://arxiv.org/abs/2601.10466 | Academic Papers | svg |
ccac594129363bfe9910efe22981636c77f81ab8b112bbddf7b3e4c607fb839e | 2026-01-16T00:00:00-05:00 | Positive Damping Region: A Graphic Tool for Passivization Analysis with Passivity Index | arXiv:2601.10475v1 Announce Type: new Abstract: This paper presents a geometric framework for analyzing output-feedback and input-feedforward passivization of linear time-invariant systems. We reveal that a system is passivizable with a given passivity index when the Nyquist plot for SISO systems or the Rayleigh quotie... | https://arxiv.org/abs/2601.10475 | Academic Papers | svg |
209a8c1a3bc655c7920bacc4a1bed808f5a9c518181f217b4c24f80ae11613c4 | 2026-01-16T00:00:00-05:00 | On Generalized Strong and Norm Resolvent Convergence | arXiv:2601.10476v1 Announce Type: new Abstract: We present a streamlined approach for generalized strong and norm convergence of self-adjoint operators in different Hilbert spaces. In particular, we establish convergence of associated (semi-)groups, (essential) spectra and spectral projections. In addition, we give som... | https://arxiv.org/abs/2601.10476 | Academic Papers | svg |
6c575e6ea54686b023f6f6f496a567514d21017b9a695ec22b6df71ffd9c41a9 | 2026-01-16T00:00:00-05:00 | A Riemannian Autocorrelation Function and its Application to Non-Local Isoperimetric Energies | arXiv:2601.10481v1 Announce Type: new Abstract: We study a family of non-local isoperimetric energies $E_{\gamma,\varepsilon}$ on the round sphere $M = S^n$, where the non-local interaction kernel $K_\varepsilon$ is the fundamental solution of the Helmholtz operator $1 - \varepsilon^2 \Delta$. To analyse these energies... | https://arxiv.org/abs/2601.10481 | Academic Papers | svg |
c6ca2c6fb1013ac80c7de98a6c740ec1b3227ca271101a8c36a0716b3381c241 | 2026-01-16T00:00:00-05:00 | High-Dimensional Analysis of Gradient Flow for Extensive-Width Quadratic Neural Networks | arXiv:2601.10483v1 Announce Type: new Abstract: We study the high-dimensional training dynamics of a shallow neural network with quadratic activation in a teacher-student setup. We focus on the extensive-width regime, where the teacher and student network widths scale proportionally with the input dimension, and the sa... | https://arxiv.org/abs/2601.10483 | Academic Papers | svg |
b7be0d900981b79825357d963e9364be291a954f1c4baf5af013e1c620c4882f | 2026-01-16T00:00:00-05:00 | Finite lattice kinetic equations for bosons, fermions, and discrete NLS | arXiv:2601.10486v1 Announce Type: new Abstract: We introduce and study finite lattice kinetic equations for bosons, fermions, and discrete NLS. For each model this closed evolution equation provides an approximate description for the evolution of the appropriate covariance function in the system. It is obtained by trun... | https://arxiv.org/abs/2601.10486 | Academic Papers | svg |
d1b71b3648bcfe5811730da510f891728bfce8f8e565f13c1bf9f498968dd596 | 2026-01-16T00:00:00-05:00 | A proof of the soliton resolution conjecture for the Benjamin--Ono equation | arXiv:2601.10488v1 Announce Type: new Abstract: We give a proof of the soliton resolution conjecture for the Benjamin--Ono equation, namely every solution with sufficiently regular and decaying initial data can be written as a finite sum of soliton solutions with different velocities up to a radiative remainder term in... | https://arxiv.org/abs/2601.10488 | Academic Papers | svg |
1ee554b2a2c69f961f3d3e7d11d0a54a4f717a8ae10255eb8b12481dc1c8d87f | 2026-01-16T00:00:00-05:00 | Malliavin Calculus for the stochastic Cahn-Hilliard equation driven by fractional noise | arXiv:2601.10490v1 Announce Type: new Abstract: The stochastic partial differential equation analyzed in this work is the Cahn-Hilliard equation perturbed by an additive fractional white noise (fractional in time and white in space). We work in the case of one spatial dimension and apply Malliavin calculus to investiga... | https://arxiv.org/abs/2601.10490 | Academic Papers | svg |
bf6ab6b01fed5c36889d80beb2c47c3a6eb890a201e74ef32030beedb2c03f21 | 2026-01-16T00:00:00-05:00 | Some Eigenvalue Inequalities for the Schr\"odinger Operator on Integer Lattices | arXiv:2601.10523v1 Announce Type: new Abstract: In this paper, we establish analogues of the Payne-P\'olya-Weinberger, Hile-Protter, and Yang eigenvalue inequalities for the Schr\"odinger operator on arbitrary finite subsets of the integer lattice $\mathbb{Z}^n$. The results extend known inequalities for the discrete L... | https://arxiv.org/abs/2601.10523 | Academic Papers | svg |
7782e8179da444d27c84430b74216cabca82a7b39736dcdf4055b0e707647f7c | 2026-01-16T00:00:00-05:00 | Three realization problems about univariate polynomials | arXiv:2601.10529v1 Announce Type: new Abstract: We consider three realization problems about monic real univariate polynomials without vanishing coefficients. Such a polynomial $P:=\sum_{j=0}^db_jx^j$ defines the sign pattern $\sigma (P):=({\rm sgn}(b_d)$, $\ldots$, ${\rm sgn}(b_0))$. The numbers $p_d$ and $n_d$ of pos... | https://arxiv.org/abs/2601.10529 | Academic Papers | svg |
2e9b4604924ec56911cd69de6baa56b5cff2a151ce03ab79ab7d7e736f3de027 | 2026-01-16T00:00:00-05:00 | Smoothness of martingale observables and generalized Feynman-Kac formulas | arXiv:2601.10539v1 Announce Type: new Abstract: We prove that, under the H\"ormander criterion on an It\^{o} process, all its martingale observables are smooth. As a consequence, we also obtain a generalized Feynman-Kac formula providing smooth solutions to certain PDE boundary-value problems, while allowing for degene... | https://arxiv.org/abs/2601.10539 | Academic Papers | svg |
38f95ab36868d983d854ba19990a5f6aba212d262875fbe83cbe681b7529d520 | 2026-01-16T00:00:00-05:00 | Linear independence properties of the signature components of time-augmented stochastic processes | arXiv:2601.10545v1 Announce Type: new Abstract: The addition of the running time as a component of a path before computing its signature is a widespread approach to ensure the one-to-one property between them and leads to universal approximation theorems (Cuchiero, Primavera and Svaluto-Ferro, 2023). However, this also... | https://arxiv.org/abs/2601.10545 | Academic Papers | svg |
05c85d53da7f433798e47dfc907a57cae9a9c461675d5e3bd2dac2ad4d623177 | 2026-01-16T00:00:00-05:00 | The inducibility of Tur\'an graphs | arXiv:2601.10548v1 Announce Type: new Abstract: Let $I(F,n)$ denote the maximum number of induced copies of a graph $F$ in an $n$-vertex graph. The inducibility of $F$, defined as $i(F)=\lim_{n\to \infty} I(F,n)/\binom{n}{v(F)}$, is a central problem in extremal graph theory. In this work, we investigate the inducibili... | https://arxiv.org/abs/2601.10548 | Academic Papers | svg |
6f317b4d4675d27b13566a834196b42b1e9ed27e523d346bfcf70a7291b9da23 | 2026-01-16T00:00:00-05:00 | (a,b)-Fibonacci-Legendre Cordial Graphs and k-Pisano-Legendre Primes | arXiv:2601.10561v1 Announce Type: new Abstract: Let $p$ be an odd prime and let $F_i$ be the $i$th $(a,b)$-Fibonacci number with initial values $F_0=a$ and $F_1=b$. For a simple connected graph $G=(V,E)$, define a bijective function $f:V(G)\to \{0,1,\ldots,|V|-1\}$. If the induced function $f_p^*:E(G)\to \{0,1\}$, defi... | https://arxiv.org/abs/2601.10561 | Academic Papers | svg |
9edc3209dcf46a24ff72b994c9863dd0af089f4f8139124b4536e9aed50d64d0 | 2026-01-16T00:00:00-05:00 | Hydrodynamic Limit with a Weierstrass-type result | arXiv:2601.10568v1 Announce Type: new Abstract: We show that any positive, continuous, and bounded function can be realised as the diffusion coefficient of an evolution equation associated with a gradient interacting particle system. The proof relies on the construction of an appropriate model and on the entropy method... | https://arxiv.org/abs/2601.10568 | Academic Papers | svg |
6dcecfe3f776ef151978a1a44f1ab9f37530a38188a17a68c1b1d647c80f231d | 2026-01-16T00:00:00-05:00 | Mind the gap: A real-valued distance on combinatorial games | arXiv:2601.10574v1 Announce Type: new Abstract: We define a real-valued distance metric $wd$ on the space $\mathcal{C}$ of short combinatorial games in canonical form. We demonstrate the existence of Cauchy sequences informed by sidling sequences, find limit points, and investigate the closure $\overline{\mathcal{C}}$,... | https://arxiv.org/abs/2601.10574 | Academic Papers | svg |
231985af0a4cad57e47d9155b3a2c166a56723481a076bb579d9116f003bba05 | 2026-01-16T00:00:00-05:00 | On Zalcman's and Bieberbach conjectures | arXiv:2601.10584v1 Announce Type: new Abstract: The well-known Zalcman conjecture, which implies the Bieberbach conjecture, states that the coefficients of univalent functions $f(z) = z + \sum\limits_2^{\infty} a_n z^n$ on the unit disk satisfy $|a_n^2 - a_{2n-1}| \le (n-1)^2$ for all $n > 2$, with equality only for th... | https://arxiv.org/abs/2601.10584 | Academic Papers | svg |
e26c402b309091a8d6aedf1dc3802a2269b007ee0f52a4c956c43cd500f14504 | 2026-01-16T00:00:00-05:00 | Comparison of viscosity solutions for a class of non-linear PDEs on the space of finite nonnegative measures | arXiv:2601.10586v1 Announce Type: new Abstract: We establish a comparison principle for viscosity solutions of a class of nonlinear partial differential equations posed on the space of nonnegative finite measures, thereby extending recent results for PDEs defined on the Wasserstein space of probability measures. As an ... | https://arxiv.org/abs/2601.10586 | Academic Papers | svg |
d9e0f2128990b7511b24eae2b0f72ae86dab815c2d194609b99f1142f821826b | 2026-01-16T00:00:00-05:00 | Schur--Horn type inequalities for hyperbolic polynomials | arXiv:2601.10602v1 Announce Type: new Abstract: We establish a Schur--Horn type inequality for symmetric hyperbolic polynomials. As an immediate consequence, we resolve a conjecture of Nam Q. Le on Hadamard-type inequalities for hyperbolic polynomials. Our argument is based on the Schur--Horn theorem, the Birkhoff theo... | https://arxiv.org/abs/2601.10602 | Academic Papers | svg |
99594a09beadc1b6f52a1ad4466c8ed0ff93cd4591c99c97c5a8c842b9c5eae8 | 2026-01-16T00:00:00-05:00 | Local times and excursions for self-similar Markov trees | arXiv:2601.10610v1 Announce Type: new Abstract: This work builds upon the recent monograph [5] on self-similar Markov trees. A self-similar Markov tree is a random real tree equipped with a function from the tree to $[0,\infty)$ that we call the decoration. Here, we construct local time measures $L(x,dt)$ at every leve... | https://arxiv.org/abs/2601.10610 | Academic Papers | svg |
80c843a2284512df241764de8ec3231000ebe4f6cf3229577cbda9156670589c | 2026-01-16T00:00:00-05:00 | Malcev classification for the variety of left-symmetric algebras | arXiv:2601.10613v1 Announce Type: new Abstract: In this paper, we study three classes of subvarieties inside the variety of left-symmetric algebras. We show that these subvarieties are naturally related to some well-known varieties, such as alternative, assosymmetric and Zinbiel algebras. For certain subvarieties of th... | https://arxiv.org/abs/2601.10613 | Academic Papers | svg |
0e6885b63cf7779ec22130edad3a40a3b1158683a38293a51a450c7ac68de45a | 2026-01-16T00:00:00-05:00 | The directedness of the Rudin-Keisler order at measurable cardinals | arXiv:2601.10614v1 Announce Type: new Abstract: The manuscript is concerned with the Rudin-Keisler order of ultrafilters on measurable cardinals. The main theorem proved read as follows: Given regular cardinals $\lambda\leq \kappa$, the following theories are equiconsistent modulo ZFC: (1) $\kappa$ is a measurable card... | https://arxiv.org/abs/2601.10614 | Academic Papers | svg |
ecc15c7616ff1f73b243c6ca809572e2ae0508b76d6d9ea78e89c4ea5b54d73d | 2026-01-16T00:00:00-05:00 | Quantitative surgery and total mean curvature | arXiv:2601.10617v1 Announce Type: new Abstract: We develop quantitative surgery, which extends the classical constructions of Gromov--Lawson and Lawson--Michelsohn. As an application, we prove a conjecture of Gromov on the total mean curvature of fill-ins. | https://arxiv.org/abs/2601.10617 | Academic Papers | svg |
1731488bd6dd34cb72919e82e3e7c928490cf5057bf4fa0d349ad5e1a99aab51 | 2026-01-16T00:00:00-05:00 | A universal Bochner formula for scalar curvature | arXiv:2601.10618v1 Announce Type: new Abstract: We introduce a universal Bochner formula for scalar curvature that contains, as special cases, the stability inequality for minimal slicings, a Schr\"odinger-Lichnerowicz-type formula, and a higher-dimensional version of Stern's level-set identity. | https://arxiv.org/abs/2601.10618 | Academic Papers | svg |
4fdad00deba237436cded6f8985600c65bb006f75a5a0697965fc42e22b13654 | 2026-01-16T00:00:00-05:00 | Source localisation in simple random walks | arXiv:2601.10624v1 Announce Type: new Abstract: We consider the problem of locating the source (starting vertex) of a simple random walk, given a snapshot of the set of edges (or vertices) visited in the first $n$ steps. Considering lattices $\mathbb{Z}^d$, in dimensions $d \geq 5$, we show that the source can be ident... | https://arxiv.org/abs/2601.10624 | Academic Papers | svg |
b8e615968c0036f657d7be9909bbf700b18b3705656ee917136a98a2c36f7a3e | 2026-01-16T00:00:00-05:00 | Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case | arXiv:2601.10625v1 Announce Type: new Abstract: We determine the complete structure of the symmetry algebras associated with the N-body Calogero-Moser system and its maximally superintegrable discretization. We prove that the discretization naturally leads to a nontrivial deformation of the continuous symmetry algebra,... | https://arxiv.org/abs/2601.10625 | Academic Papers | svg |
3b0bdcd6c371fd638839438d3b92c61730d04f3396287e33a4e6db39c55b120c | 2026-01-16T00:00:00-05:00 | On subradically sifted sums related to Alladi's higher order duality between prime factors | arXiv:2601.10636v1 Announce Type: new Abstract: In this paper, I utilize a variant of the Selberg--Delange method to find quantitative estimates of the sums \[M_{k,\omega}(x,y)=\sum_{\substack{p_{1}(n)> y\\ n\leq x} } \mu(n) {\omega(n)-1\choose k-1},\] where $y$ can grow with $x$ but we must have $y\leq Y_0\exp(\mathsc... | https://arxiv.org/abs/2601.10636 | Academic Papers | svg |
874a4324bc42d38d538614c3fe486dbecc913c8db649a595af28c8e088270241 | 2026-01-16T00:00:00-05:00 | Michael-Simon inequality for anisotropic energies close to the area via multilinear Kakeya-type bounds | arXiv:2601.10647v1 Announce Type: new Abstract: Given an anisotropic integrand $F:\text{Gr}_k(\mathbb R^n)\to(0,\infty)$, we can generalize the classical isotropic area by looking at the functional $$\mathcal{F}(\Sigma^k):=\int_\Sigma F(T_x\Sigma)\,d\mathcal{H}^k.$$ While a monotonicity formula is not available for cri... | https://arxiv.org/abs/2601.10647 | Academic Papers | svg |
ce48bcaa8818cc4e71deb3331c0b5f9b7a52a05ea02d89bd1bba00116473745e | 2026-01-16T00:00:00-05:00 | Uniform stability of the inverse Sturm-Liouville problem on a star-shaped graph | arXiv:2601.10652v1 Announce Type: new Abstract: In this paper, we study the inverse spectral problem for the Sturm-Liouville operators on a star-shaped graph, which consists in the recovery of the potentials from specral data or several spectra. The uniform stability of these inverse problems on the whole graph is prov... | https://arxiv.org/abs/2601.10652 | Academic Papers | svg |
6a2e04c132aee5eabe22a4a5018f1e2bad935055e1f842a231493337773eef1c | 2026-01-16T00:00:00-05:00 | Symmetries of Borcherds algebras | arXiv:2601.10653v1 Announce Type: new Abstract: We give an overview of the construction of Borcherds algebras, particularly the Monstrous Lie algebras $\mathfrak m_g$ constructed by Carnahan, where $g$ is an element of the Monster finite simple group. When $g$ is the identity element, $\mathfrak m_g$ is the Monster Lie... | https://arxiv.org/abs/2601.10653 | Academic Papers | svg |
e6b1cfed012a4daafa3068486bd692102d8e0ff6a1700278ff1bdc8051f70162 | 2026-01-16T00:00:00-05:00 | A note on strong similarity and the Connes embedding problem | arXiv:2601.10654v1 Announce Type: new Abstract: We show that there exists a completely bounded (c.b. in short) homomorphism $u$ from a $C^*$-algebra $C$ with the lifting property (in short LP) into a QWEP von Neumann algebra $N$ that is not strongly similar to a $*$-homomorphism, i.e. the similarities that ``orthogonal... | https://arxiv.org/abs/2601.10654 | Academic Papers | svg |
9ab98bb6e143de887d9f072cb86efcc1beaaa008628b297cc9e1c2e68a4cf967 | 2026-01-16T00:00:00-05:00 | Hyperk\"ahler Degenerations from Parabolic $\mathrm{SL}(2,\mathbb{C})$-Higgs Bundles Moduli Spaces on the Punctured Sphere to Hyperpolygon Spaces | arXiv:2601.10656v1 Announce Type: new Abstract: Complete hyperk\"ahler 4-manifolds of finite energy are grouped into ALE, ALF, ALG$^{(*)}$, ALH$^{(*)}$, each of these being further classified according to the Dynkin type of their noncompact end. A family of ALG-$D_4$ spaces are modeled by certain moduli spaces of stron... | https://arxiv.org/abs/2601.10656 | Academic Papers | svg |
b075eeeaab358741eac97c1b8cc18d19082f615fddd02fca84d5ee32cea6e171 | 2026-01-16T00:00:00-05:00 | On Necessary and Sufficient Conditions for Fixed Point Convergence: A Contractive Iteration Principle | arXiv:2601.10669v1 Announce Type: new Abstract: While numerous extensions of Banach's fixed point theorem typically offer only sufficient conditions for the existence and uniqueness of a fixed point and the convergence of iterative sequences, this study introduces a generalization grounded in the iterative contraction ... | https://arxiv.org/abs/2601.10669 | Academic Papers | svg |
003267ad06ec24de3c241d8cb5f8c94a96a1da72bd6a26f520b1110d666568ce | 2026-01-16T00:00:00-05:00 | Real characters and real classes of $\mathrm{GL}_2$ and $\mathrm{GU}_2$ over discrete valuation rings | arXiv:2601.10670v1 Announce Type: new Abstract: Let $\mathfrak{o}$ be the ring of integers of a non-archimedean local field with residue field of odd characteristic, $\mathfrak{p}$ be its maximal ideal and let $\mathfrak{o}_\ell = \mathfrak{o}/\mathfrak{p}^\ell$ for $\ell\ge 2$. In this article, we study real-valued ch... | https://arxiv.org/abs/2601.10670 | Academic Papers | svg |
b25d91b7d75fc431b151ed71bd6296df92d90bf0956fa01b13ff73723bce40d7 | 2026-01-16T00:00:00-05:00 | Vertex operator algebra bundles on modular curves and their associated modular forms | arXiv:2601.10686v1 Announce Type: new Abstract: This paper describes the vector bundle on the elliptic modular curve that is associated to a vertex operator algebra $V$ (VOA) or more generally a quasi-vertex operator algebra (QVOA), with a view towards future applications aimed at studying the characters of VOAs. We ex... | https://arxiv.org/abs/2601.10686 | Academic Papers | svg |
d56fda378c6c2111e0ecfdc8e5be083360a85e83fc33bd4d9b3853818d8b27db | 2026-01-16T00:00:00-05:00 | Unbounded symbols, heat flow, and Toeplitz operators | arXiv:2601.10711v1 Announce Type: new Abstract: We disprove the natural domain extension of the Berger--Coburn heat-flow conjecture for Toeplitz operators on the Bargmann space and identify the failure mechanism as a gap between pointwise and uniform control of a Gaussian averaging of the squared modulus of the symbol,... | https://arxiv.org/abs/2601.10711 | Academic Papers | svg |
1035a23735f98433931a925ab0704c6080e9080fe0d9f733c5b8e404f1e281bb | 2026-01-16T00:00:00-05:00 | Absorption and fixation times for evolutionary processes on graphs | arXiv:2601.09737v1 Announce Type: cross Abstract: In this paper, we study the absorption and fixation times for evolutionary processes on graphs, under different updating rules. While in Moran process a single neighbour is randomly chosen to be replaced, in proliferation processes other neighbours can be replaced using... | https://arxiv.org/abs/2601.09737 | Academic Papers | svg |
d4d91901abcf5e2b2168df715ae5ff633ed74af734f4f24dfaea97b2cf825aa5 | 2026-01-16T00:00:00-05:00 | Topological Percolation in Urban Dengue Transmission: A Multi-Scale Analysis of Spatial Connectivity | arXiv:2601.09747v1 Announce Type: cross Abstract: We investigate the spatial organization of dengue cases in the city of Recife, Brazil, from 2015 to 2024, using tools from statistical physics and topological data analysis. Reported cases are modeled as point clouds in a metric space, and their spatial connectivity is ... | https://arxiv.org/abs/2601.09747 | Academic Papers | svg |
bdcce7212e10148a52bc25485b871de56a0d2cba7ed9a3a1784cb81d2eff06ec | 2026-01-16T00:00:00-05:00 | Localization of quantum states within subspaces | arXiv:2601.09817v1 Announce Type: cross Abstract: A precise definition is proposed for the localization probability of a quantum state within a given subspace of the full Hilbert space of a quantum system. The corresponding localized component of the state is explicitly identified, and several mathematical properties a... | https://arxiv.org/abs/2601.09817 | Academic Papers | svg |
a895adf792577b8c0cafd18b8f15513c10e6efd40695f454a6f927e7594402d9 | 2026-01-16T00:00:00-05:00 | Forecasting Seasonal Peaks of Pediatric Respiratory Infections Using an Alert-Based Model Combining SIR Dynamics and Historical Trends in Santiago, Chile | arXiv:2601.09821v1 Announce Type: cross Abstract: Acute respiratory infections (ARI) are a major cause of pediatric hospitalization in Chile, producing marked winter increases in demand that challenge hospital planning. This study presents an alert-based forecasting model to predict the timing and magnitude of ARI hosp... | https://arxiv.org/abs/2601.09821 | Academic Papers | svg |
866a3454af784f37d9daa8359c997c3079a60444275d9af16324fc6556cc7e5b | 2026-01-16T00:00:00-05:00 | The formation of periodic three-body orbits for Newtonian systems | arXiv:2601.09843v1 Announce Type: cross Abstract: Braids are periodic solutions to the general N-body problem in gravitational dynamics. These solutions seem special and unique, but they may result from rather usual encounters between four bodies. We aim at understanding the existence of braids in the Galaxy by reverse... | https://arxiv.org/abs/2601.09843 | Academic Papers | svg |
7deaa63c6b72b85d5f880146e03ce119de07d2c4ca148aaa3600269e973f0abd | 2026-01-16T00:00:00-05:00 | Model selection by cross-validation in an expectile linear regression | arXiv:2601.09874v1 Announce Type: cross Abstract: For linear models that may have asymmetric errors, we study variable selection by cross-validation. The data are split into training and validation sets, with the number of observations in the validation set much larger than in the training set. For the model coefficien... | https://arxiv.org/abs/2601.09874 | Academic Papers | svg |
f5818e2bced675c0a604a16d75074d9c211e63dec8b64d7e65cd214e1e6e8715 | 2026-01-16T00:00:00-05:00 | Learning about Treatment Effects with Prior Studies: A Bayesian Model Averaging Approach | arXiv:2601.09888v1 Announce Type: cross Abstract: We establish concentration rates for estimation of treatment effects in experiments that incorporate prior sources of information -- such as past pilots, related studies, or expert assessments -- whose external validity is uncertain. Each source is modeled as a Gaussian... | https://arxiv.org/abs/2601.09888 | Academic Papers | svg |
faaccc0e0c451f678d7403c93a59715066e896515664a8ebbf8c74188a80b87d | 2026-01-16T00:00:00-05:00 | Learning and Equilibrium under Model Misspecification | arXiv:2601.09891v1 Announce Type: cross Abstract: This chapter develops a unified framework for studying misspecified learning situations in which agents optimize and update beliefs within an incorrect model of their environment. We review the statistical foundations of learning from misspecified models and extend thes... | https://arxiv.org/abs/2601.09891 | Academic Papers | svg |
b88eecc666688a82af6abfd4eb8cc39c957a328b11513f72eae406721398ece3 | 2026-01-16T00:00:00-05:00 | Analytic approach to boundary integrability with application to mixed-flux $AdS_3 \times S^3$ | arXiv:2601.09935v1 Announce Type: cross Abstract: Boundary integrability provides rare analytic control over field theories in the presence of an interface, from quantum impurity problems to open string dynamics. We develop an analytic framework for integrable boundaries in two-dimensional sigma-models that determines ... | https://arxiv.org/abs/2601.09935 | Academic Papers | svg |
ba3d69cd514e0cb6fdfabaaddc265a74e415dc6838912b9fd71d915a18bafc77 | 2026-01-16T00:00:00-05:00 | Model-Agnostic and Uncertainty-Aware Dimensionality Reduction in Supervised Learning | arXiv:2601.10357v1 Announce Type: cross Abstract: Dimension reduction is a fundamental tool for analyzing high-dimensional data in supervised learning. Traditional methods for estimating intrinsic order often prioritize model-specific structural assumptions over predictive utility. This paper introduces predictive orde... | https://arxiv.org/abs/2601.10357 | Academic Papers | svg |
a649ebf292b759b25360e899e199f8b30741947ebb665afcab17bfcbd0521916 | 2026-01-16T00:00:00-05:00 | Gene genealogies in diploid populations evolving according to sweepstakes reproduction | arXiv:2601.10364v1 Announce Type: cross Abstract: Recruitment dynamics, or the distribution of the number of offspring among individuals, is central for understanding ecology and evolution. Sweepstakes reproduction (heavy right-tailed offspring number distribution) is central for understanding the ecology and evolution... | https://arxiv.org/abs/2601.10364 | Academic Papers | svg |
f89050cfad88b2cfb0f0b37baa0961b904d64f2e448b55a030198098551aa820 | 2026-01-16T00:00:00-05:00 | Dynamic reinsurance via martingale transport | arXiv:2601.10375v1 Announce Type: cross Abstract: We formulate a dynamic reinsurance problem in which the insurer seeks to control the terminal distribution of its surplus while minimizing the L2-norm of the ceded risk. Using techniques from martingale optimal transport, we show that, under suitable assumptions, the pr... | https://arxiv.org/abs/2601.10375 | Academic Papers | svg |
6ed2ac1aa93ea307b3a3fa2d25cab6036964c36aa0b9d4254f4bfba61c24fa2c | 2026-01-16T00:00:00-05:00 | A Predictive Model for Synergistic Oncolytic Virotherapy: Unveiling the Ping-Pong Mechanism and Optimal Timing of Combined Vesicular Stomatitis and Vaccinia Viruses | arXiv:2601.10405v1 Announce Type: cross Abstract: We present a mathematical model that describes the synergistic mechanism of combined Vesicular Stomatitis Virus (VSV) and Vaccinia Virus (VV). The model captures the dynamic interplay between tumor cells, viral replication, and the interferon-mediated immune response, r... | https://arxiv.org/abs/2601.10405 | Academic Papers | svg |
56cd781bb582c20cfddd1f1d78591f6546704d9ffc4c18c93b4af1614cf16385 | 2026-01-16T00:00:00-05:00 | The eigenvalues and eigenvectors of finite-rank normal perturbations of large rotationally invariant non-Hermitian matrices | arXiv:2601.10427v1 Announce Type: cross Abstract: We study finite-rank normal deformations of rotationally invariant non-Hermitian random matrices. Extending the classical Baik-Ben Arous-P\'ech\'e (BBP) framework, we characterize the emergence and fluctuations of outlier eigenvalues in models of the form $\mathbf{A} + ... | https://arxiv.org/abs/2601.10427 | Academic Papers | svg |
69a7c34aff3a707b1f710bdb0aa8bbd4bae97e34db8689eb52d583cfe6b1a7fb | 2026-01-16T00:00:00-05:00 | Twisted Cherednik spectrum as a $q,t$-deformation | arXiv:2601.10500v1 Announce Type: cross Abstract: The common eigenfunctions of the twisted Cherednik operators can be first analyzed in the limit of $q\longrightarrow 1$. Then, the polynomial eigenfunctions form a simple set originating from the symmetric ground state of non-vanishing degree and excitations over it, de... | https://arxiv.org/abs/2601.10500 | Academic Papers | svg |
c4aa690c5f8db7f49e5af473c165c0278e01d12de2a662f19456199f6150e2fc | 2026-01-16T00:00:00-05:00 | Madelung hydrodynamics of spin-orbit coupling: action principles, currents, and correlations | arXiv:2601.10698v1 Announce Type: cross Abstract: We exploit the variational and Hamiltonian structures of quantum hydrodynamics with spin to unfold the correlation and torque mechanisms accompanying spin-orbit coupling (SOC) in electronic motion. Using Hamilton's action principle for the Pauli equation, we isolate SOC... | https://arxiv.org/abs/2601.10698 | Academic Papers | svg |
daa5b86d3ea836874316a65c6813956a44a43fcf5e25af8f672015110d66db01 | 2026-01-16T00:00:00-05:00 | $\mathfrak{B}$-free integers in number fields and dynamics | arXiv:1507.00855v2 Announce Type: replace Abstract: In 2010, Sarnak initiated the study of the dynamics of the system determined by the square of the M\"obius function (the characteristic function of the square-free integers). We deal with his program in the more general context of $\mathfrak{B}$-free integers in numbe... | https://arxiv.org/abs/1507.00855 | Academic Papers | svg |
7e4d86c294e9ad5b1d004fa5cbd52ed56db7a783d719f36c7ab7df3172def988 | 2026-01-16T00:00:00-05:00 | An invitation to Alexandrov geometry: CAT(0) spaces | arXiv:1701.03483v4 Announce Type: replace Abstract: Our goal is to show the beauty and power of Alexandrov geometry by reaching interesting applications and theorems with a minimum of preparation. The topics include 1. Reshetnyak's gluing theorem, 2. Estimates on the number of collisions in billiards, 3. Reshetnyak's m... | https://arxiv.org/abs/1701.03483 | Academic Papers | svg |
908f2cd85e54d16624aa6114db928ddf43e1e791ab8db462da7bd51a4bf12737 | 2026-01-16T00:00:00-05:00 | Meta-nilpotent knot invariants and symplectic automorphism groups of free nilpotent groups | arXiv:2105.14414v4 Announce Type: replace Abstract: We develop nilpotently $p$-localization of knot groups in terms of the (symplectic) automorphism groups of free nilpotent groups. We show that any map from the set of conjugacy classes of the outer automorphism groups yields a knot invariant. We also investigate the a... | https://arxiv.org/abs/2105.14414 | Academic Papers | svg |
7ed0f69b6560480c7ca629234420f2b3c14cd25c82566719f11595e729880f06 | 2026-01-16T00:00:00-05:00 | Decreasing subsequences and Viennot for oscillating tableaux | arXiv:2108.11528v2 Announce Type: replace Abstract: We establish an extension of Viennot's geometric (shadow line) construction to the setting of oscillating tableaux. We then use this to give a new proof of the Type $C$ analogue of Schensted's theorem on longest decreasing subsequences. This pairs with our results fro... | https://arxiv.org/abs/2108.11528 | Academic Papers | svg |
e92ac7e69a75df1e5c3d155f95e2176f31ed4f4b6aff4acbc687453f53b4b7c4 | 2026-01-16T00:00:00-05:00 | Steenrod Lengths and a Problem of Vakil | arXiv:2110.01672v3 Announce Type: replace Abstract: We give an explicit combinatorial description of the function $f(n)$ governing the Steenrod length of real projective spaces $\mathbb{RP}^n$. This function arises in stable homotopy theory through the action of Steenrod squares on mod-$2$ cohomology and is closely rel... | https://arxiv.org/abs/2110.01672 | Academic Papers | svg |
1fcd03452e427ed568424cb94d86d8f7add686308e2561a0bb5b9702dcec28e9 | 2026-01-16T00:00:00-05:00 | Surface slices and homology spheres | arXiv:2202.02696v3 Announce Type: replace Abstract: We develop the theory of the diagrammatics of surface cross sections to prove that there are an infinite number of homology 3-spheres smoothly embeddable in a homology 4-sphere but not in a homotopy 4-sphere. Our primary obstruction comes from work of Taubes. | https://arxiv.org/abs/2202.02696 | Academic Papers | svg |
c2654fa8d6dd62f023a5eca3721547faaa01c4cedd4647535ca7f17c7f89a853 | 2026-01-16T00:00:00-05:00 | On The large Time Asymptotics of Schr\"odinger type equations with General Data | arXiv:2203.00724v5 Announce Type: replace Abstract: For the Schr\"odinger equation with a general interaction term, which may be linear or nonlinear, time dependent and including charge transfer potentials, we prove the global solutions are asymptotically given by the sum of a free wave and a weakly localized part. The... | https://arxiv.org/abs/2203.00724 | Academic Papers | svg |
ed1b04e4f2f6e06f0b454416151f990d9c4033e92abfeaefaf225fd1504a8721 | 2026-01-16T00:00:00-05:00 | A Modern Theory for High-dimensional Cox Regression Models | arXiv:2204.01161v2 Announce Type: replace Abstract: The proportional hazards model has been extensively used in many fields such as biomedicine to estimate and perform statistical significance testing on the effects of covariates influencing the survival time of patients. The classical theory of maximum partial-likelih... | https://arxiv.org/abs/2204.01161 | Academic Papers | svg |
0006f3826b8cee5ec9cdcdfbb387d6c218ec208667a705cf348ebbe866b5420e | 2026-01-16T00:00:00-05:00 | Hamiltonicity in generalized quasi-dihedral groups | arXiv:2204.05484v2 Announce Type: replace Abstract: Witte Morris showed in [21] that every connected Cayley graph of a finite (generalized) dihedral group has a Hamiltonian path. The infinite dihedral group is defined as the free product with amalgamation $\mathbb Z_2 \ast \mathbb Z_2$. We show that every connected Cay... | https://arxiv.org/abs/2204.05484 | Academic Papers | svg |
66cfd310717a4ddf96963c8a88c88e25cd9f26d156151e8cfb900ee47fab0bdc | 2026-01-16T00:00:00-05:00 | Extension of Lipschitz maps definable in Hensel minimal structures | arXiv:2204.05900v4 Announce Type: replace Abstract: In this paper, we establish a theorem on extension of Lipschitz maps $f$ definable in Hensel minimal, non-trivially valued fields $K$ of equicharacteristic zero. This may be regarded as a definable, non-Archimedean, non-locally compact version of Kirszbraun's extensio... | https://arxiv.org/abs/2204.05900 | Academic Papers | svg |
31a34ee74795de947a276088bf7a3b4f87aed601b0380ae2d01b04c5b7a3e824 | 2026-01-16T00:00:00-05:00 | Planar site percolation via tree embeddings | arXiv:2304.00923v4 Announce Type: replace Abstract: We prove that if $G$ is an infinite, connected, planar graph properly embedded in $\mathbb{R}^2$ with minimum degree at least $7$, then i.i.d.\ Bernoulli$(p)$ site percolation on $G$ almost surely has infinitely many infinite open (1-)clusters for every \[ p \in \bigl... | https://arxiv.org/abs/2304.00923 | Academic Papers | svg |
abfaa1e20dad3ec927441b9a28bf46e0e20a96a065079546d58db459d182f8cd | 2026-01-16T00:00:00-05:00 | Differential characterization of quadratic surfaces | arXiv:2304.08073v3 Announce Type: replace Abstract: Let $f\in W^{3,1}_{\mathrm{loc}}(\Omega)$ be a function defined on a connected open subset $\Omega\subseteq\mathbb R^2$. We will show that its graph is contained in a quadratic surface if and only if $f$ is a weak solution to a certain system of third-order partial di... | https://arxiv.org/abs/2304.08073 | Academic Papers | svg |
ab2b5e636db95c0ba6e50c38f57cc9d161421113cb71a0c31f0b7c735c095953 | 2026-01-16T00:00:00-05:00 | Higher Lie theory in positive characteristic | arXiv:2306.07829v4 Announce Type: replace Abstract: The main goal of this article is to develop integration theory for absolute partition $L_\infty$-algebras, which are point-set models for the (spectral) partition Lie algebras of Brantner-Mathew where infinite sums of operations are well-defined by definition. We cons... | https://arxiv.org/abs/2306.07829 | Academic Papers | svg |
3810f2d784e72ca4ecb812902eb47c9c2ad78962abe24175c3ea432b7693e430 | 2026-01-16T00:00:00-05:00 | The cohomology of $BPU(p^m)$ and invariant polynomials | arXiv:2306.17599v5 Announce Type: replace Abstract: Let $p$ be an odd prime. For a compact Lie group $G$ and an elementary abelian $p$-group $A$ of $G$, one may define the Weyl group $W_A$ of $A$ in a similar fashion as defining the Weyl group of a maximal torus, such that $W_A$ acts on $H^*(BA;R)$ for any coefficient ... | https://arxiv.org/abs/2306.17599 | Academic Papers | svg |
0d02b8409ab64e53ef9b4adf2cc05bfc7fe60fa9ea0b5cd6d62b7c7dc185b2e5 | 2026-01-16T00:00:00-05:00 | A non-Archimedean Arens--Eells isometric embedding theorem on valued fields | arXiv:2309.06704v2 Announce Type: replace Abstract: In 1959, Arens and Eells proved that every metric space can be isometrically embedded into a normed linear space as a closed subset. In later years, in the paper on a short proof of the Arens--Eells theorem, Michael implicitly pointed out that the Arens--Eells theorem... | https://arxiv.org/abs/2309.06704 | Academic Papers | svg |
f8a6fa34afbadd631f95c2a4b46353060bc97f88b313bfb7dd269c5233390928 | 2026-01-16T00:00:00-05:00 | Reformulation of the stable Adams conjecture | arXiv:2310.14425v3 Announce Type: replace Abstract: We revisit methods of proof of the Adams Conjecture in order to correct and supplement earlier efforts to prove analogous conjectures in the stable homotopy category. We utilize simplicial schemes over an algebraically closed field of positive characteristic and a rig... | https://arxiv.org/abs/2310.14425 | Academic Papers | svg |
cce697505b37e2e3e23350a96c3f1d1a575fb6b2e40c77c27f2e0ec0ba1db3f9 | 2026-01-16T00:00:00-05:00 | Distribution-uniform anytime-valid sequential inference and the Robbins-Siegmund distributions | arXiv:2311.03343v3 Announce Type: replace Abstract: This paper develops a theory of distribution- and time-uniform asymptotics, culminating in the first large-sample anytime-valid inference procedures that are shown to be uniformly valid in a rich class of distributions. Historically, anytime-valid methods -- including... | https://arxiv.org/abs/2311.03343 | Academic Papers | svg |
434af48b87a060a6ca86392e258a23670ed1e2ef10d8c79652d9f11226de857c | 2026-01-16T00:00:00-05:00 | Euler Product Asymptotics for $L$-functions of Elliptic Curves | arXiv:2312.05236v4 Announce Type: replace Abstract: Let $E/\mathbb Q$ be an elliptic curve and for each prime $p$, let $N_p$ denote the number of points of $E$ modulo $p$. The original version of the Birch and Swinnerton-Dyer conjecture asserts that $\prod \limits _{p \leq x} \frac{N_p}{p} \sim C (\log x) ^{\text{rank}... | https://arxiv.org/abs/2312.05236 | Academic Papers | svg |
a673f6d10f3bab4a628c3349840841073a0cec276bce20cd08391cfc35ba14e2 | 2026-01-16T00:00:00-05:00 | Mixed-Integer Linear Optimization for Semi-Supervised Optimal Classification Trees | arXiv:2401.09848v2 Announce Type: replace Abstract: Decision trees are one of the most popular methods for solving classification problems, mainly because of their good interpretability properties. Moreover, due to advances in recent years in mixed-integer optimization, several models have been proposed to formulate th... | https://arxiv.org/abs/2401.09848 | Academic Papers | svg |
fb16d13416b0745fe86b901c202f6f37c3672cbb9127e6864266d1b734d26440 | 2026-01-16T00:00:00-05:00 | Higher-dimensional multifractal analysis for the cusp winding process on hyperbolic surfaces | arXiv:2402.16418v2 Announce Type: replace Abstract: We perform a multifractal analysis of the growth rate of the number of cusp windings for the geodesic flow on hyperbolic surfaces with $m \geq 1$ cusps. Our main theorem establishes a conditional variational principle for the Hausdorff dimension spectrum of the multi-... | https://arxiv.org/abs/2402.16418 | Academic Papers | svg |
a4dc52bd3be0bb36729a05405df6485eb7c1bbeb95707ccb1465fa930bb25edc | 2026-01-16T00:00:00-05:00 | A refinement of the Ewens sampling formula | arXiv:2403.05077v3 Announce Type: replace Abstract: We consider an infinitely-many neutral allelic model of population genetics where all alleles are divided into a finite number of classes, and each class is characterized by its own mutation rate. For this model the allelic composition of a sample taken from a very la... | https://arxiv.org/abs/2403.05077 | Academic Papers | svg |
2eb78856cc959200049e43913f0917e847612e2ff5bef87fa05828286122c591 | 2026-01-16T00:00:00-05:00 | Collapsing regular Riemannian foliations with flat leaves | arXiv:2403.11602v2 Announce Type: replace Abstract: In this manuscript we present how to collapse a manifold equipped with a closed flat regular Riemannian foliation with leaves of positive dimension, while keeping the sectional curvature uniformly bounded from above and below. From this deformation, we show that in th... | https://arxiv.org/abs/2403.11602 | Academic Papers | svg |
ec6b2c04e15cd19ab3bf3e4c8f6552cbab2415e71ae346756539a7e0d1b46b3f | 2026-01-16T00:00:00-05:00 | Large sieve inequalities for exceptional Maass forms and the greatest prime factor of $n^2+1$ | arXiv:2404.04239v3 Announce Type: replace Abstract: We prove new large sieve inequalities for the Fourier coefficients $\rho_{j\mathfrak{a}}(n)$ of exceptional Maass forms of a given level, weighted by sequences $(a_n)$ with sparse Fourier transforms - including two key types of sequences that arise in the dispersion m... | https://arxiv.org/abs/2404.04239 | Academic Papers | svg |
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