Real zeros of $L'(s, \chi_d)$
arXiv:2511.02774v2 Announce Type: replace Abstract: In 1990, Baker and Montgomery conjectured that $L'(s,\chi_d)$ has $\asymp \log\log |d|$ real zeros in the interval $[1/2,1]$ for almost...
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45,750 articles
On the number of linear uniform hypergraphs with linear girth constraint
arXiv:2511.04978v2 Announce Type: replace Abstract: For an integer $r\geqslant 3$, a hypergraph on vertex set $[n]$ is $r$-uniform if each edge is a set of...
Magnetic Pseudo-differential Operators with H\"ormander Symbols Dominated by Tempered Weights
arXiv:2511.07184v2 Announce Type: replace Abstract: We extend the matrix representation of magnetic pseudo-differential operators in a tight Gabor frame from [arXiv:1804.05220, arXiv:2212.12229] to asymmetrical quantizations...
Mathematics
Blow-up, decay, and convergence to equilibrium for focusing damped cubic Klein-Gordon and Duffing equations
arXiv:2511.13851v2 Announce Type: replace Abstract: We study long-time dynamics of the damped focusing cubic Klein-Gordon equation on a compact three-dimensional Riemannian manifold, together with its...
Energy
Mathematics
Harmonic maps from $S^3$ to $S^2$ and the rigidity of the Hopf fibration
arXiv:2511.16522v2 Announce Type: replace Abstract: It was conjectured by Eells that the only harmonic maps $f : S^3 \to S^2$ are Hopf fibrations composed with...
Mathematics
Remarks on K\"ahler orbifolds of non-negative Ricci curvature
arXiv:2512.02305v2 Announce Type: replace Abstract: This note proves orbifold versions of Kobayashi's theorem. The main result asserts that a compact K\"ahler orbifold with non-negative Ricci...
Mathematics
Low-Latency and Low-Complexity MLSE for Short-Reach Optical Interconnects
arXiv:2512.19094v2 Announce Type: replace Abstract: To meet the high-speed, low-latency, and low-complexity demand for optical interconnects, simplified maximum likelihood sequence estimation (MLSE) is proposed in...
Intermediate topological pressures and variational principles for nonautonomous dynamical systems
arXiv:2601.00182v2 Announce Type: replace Abstract: We introduce a one-parameter family of intermediate topological pressures for nonautonomous dynamical systems which interpolate between the Pesin-Pitskel topological pressure...
Robotics
Energy
Complexity of deep computations via topology of function spaces
arXiv:2601.00528v3 Announce Type: replace Abstract: We use topological methods to study complexity of deep computations and limit computations. We use topology of function spaces, specifically,...
Software
Space & Astronomy
Hamiltonian reductions as affine closures of cotangent bundles
arXiv:2601.03068v2 Announce Type: replace Abstract: Let $Y$ be an irreducible non-singular affine $G$-variety with a $2$-large action. We show that the Hamiltonian reduction $T^*Y/\!\!/\!\!/G$ is...
Software
Mathematics
A Non-Reciprocal Elliptic Spectral Solution of the Right-Angle Penetrable Wedge Transmission Problem for $\nu=\sqrt{2}$
arXiv:2601.04183v3 Announce Type: replace Abstract: We consider the two-dimensional time-harmonic transmission problem for an impedance-matched (\rho = 1) right-angle penetrable wedge at refractive index ratio...
Mathematics
Biology
Primeness property for regular gradings
arXiv:2601.05066v2 Announce Type: replace Abstract: Let $K$ be an algebraically closed field of characteristic $0$ and $G$ a finite abelian group. For a $G$-graded $K$-algebra...
Mathematics
Biology
An Ito Formula via Predictable Projection for Non-Semimartingale Processes
arXiv:2601.10359v2 Announce Type: replace Abstract: We derive an Ito-type change-of-variables formula for stochastic processes admitting a causal derivation-divergence representation. The result applies to a broad...
Software
Biology
Optimal Trudinger-Moser inequalities on complete noncompact Riemannian manifolds: Revisit of the argument from the local inequalities to global ones
arXiv:2601.10996v2 Announce Type: replace Abstract: The main purpose of this short note, on the one hand, to is rigorize some part of the proof of...
Mathematics
Biology
Model-free policy gradient for discrete-time mean-field control
arXiv:2601.11217v2 Announce Type: replace Abstract: We study model-free policy learning for discrete-time mean-field control (MFC) problems with finite state space and compact action space. In...
Software
Artificial Intelligence
On the sub-Riemannian geometry of the quaternionic Heisenberg group
arXiv:2601.11312v2 Announce Type: replace Abstract: Utilizing the framework of quaternionic contact geometry, we define a sequence of Riemannian metrics $\{g_L\}$ on the quaternionic Heisenberg group...
Biology
On a theorem of Artin and the dimension of the space spanned by the rational valued characters of a group
arXiv:2601.12185v2 Announce Type: replace Abstract: In this paper, we sharpen a theorem of Artin to show that for a finite group, the dimension of the...
Mathematics
Space & Astronomy
Skew brace extensions, second cohomology and complements
arXiv:2601.12371v2 Announce Type: replace Abstract: We study extensions and second cohomology of skew left braces via the natural semi-direct products associated with the skew left...
Mathematics
Group Relative Policy Optimization for Robust Blind Interference Alignment with Fluid Antennas
arXiv:2601.13506v2 Announce Type: replace Abstract: Fluid antenna system (FAS) leverages dynamic reconfigurability to unlock spatial degrees of freedom and reshape wireless channels. Blind interference alignment...
Artificial Intelligence
Second Robin eigenvalue bounds for Schr\"odinger operators on Riemannian surfaces
arXiv:2601.15213v2 Announce Type: replace Abstract: Let $(\Sigma^2,ds^2)$ be a compact Riemannian surface, possibly with boundary, and consider Schr\"odinger-type operators of the form $L=\Delta+V-aK$ together with...
Software
Feller Property and Absorption of Diffusions for Multi-Species Metacommunities
arXiv:2601.16616v2 Announce Type: replace Abstract: We consider individuals of two species distributed over m patches, each with a hosting capacity $d_i N$ , where $d_i...
Biology
Software
Fluctuations and Long-Time Stability of Multivariate Ensemble Kalman Filters
arXiv:2601.17392v2 Announce Type: replace Abstract: We develop a self contained stochastic perturbation theory for discrete generation and multivariate Ensemble Kalman filters. Unlike their continuous-time counterparts,...
Mathematics
Engineering
Numerical Study of Dissipative Weak Solutions for the Euler Equations of Gas Dynamics
arXiv:2601.17452v2 Announce Type: replace Abstract: We study dissipative weak (DW) solutions of the Euler equations of gas dynamics using the first-, second-, third-, fifth-, seventh-,...
Energy
Biology
Large Coupling Convergence Beyond Definiteness
arXiv:2601.18055v2 Announce Type: replace Abstract: We study convergence of operator families of the form $A_\beta = A + \beta B$ towards an effective operator defined...
Software
Mathematics