A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Unique maximal curve systems found for up to 5 punctures.
Characterizes and analyzes the large scale geometry of big mapping class groups of surfaces.
Maximal representations in symplectic lattices proven for most cases.
Study finds metrics maximizing one Laplace eigenvalue on 3D and higher manifolds.
In the present paper we study two-dimensional maximal surfaces with harmonic level-sets. As a corollary we obtain a new class of one-periodic maximal surfaces.
In this paper we describe the space of maximal components of the character variety of surface group representations into PSp(4,R) and Sp(4,R). For every rank 2 real Lie group of Hermitian type, we construct a mapping class group invariant complex structure on the maximal components. For the groups PSp(4,R) and Sp(4,R),…
The paper studies a new class of affine maximal surfaces with singularities.
New bounds on maximal linkless graphs with improved edge-to-vertex ratios.
This study explores Kaluza-Klein reductions of new maximally supersymmetric backgrounds.
New complete hypersurfaces found in affine geometry.
The ball maximizes the first biharmonic Steklov eigenvalue.
We give a characterization of conformal classes realizing a compact manifold's Yamabe invariant. This characterization is the analogue of an observation of Nadirashvili for metrics realizing the maximal first eigenvalue, and of Fraser and Schoen for metrics realizing the maximal first Steklov eigenvalue.
We show that the mapping class group acts properly on the space of maximal representations of the fundamental group of a closed Riemann surface into G when G = Sp(2n,R), SU(n,n), SO*(2n) or Spin(2,n).
Maximal Laplacian algebras applied to invariant theory solved inverse problems.
Maximal discs in Anti-de Sitter space linked to Teichmüller space.
The paper studies continuous submodular functions and their optimization.
In this paper, we introduce a partial order on neighborhood equivalence classes of maximally spread essential multibranched surfaces embedded in a 3-manifold. We show that if a maximally spread essential multibranched surface is atoroidal and acylindrical, then its equivalence class is minimal with respect to the parti…
Batch Reinforcement Learning (RL) algorithms attempt to choose a policy from a designer-provided class of policies given a fixed set of training data. Choosing the policy which maximizes an estimate of return often leads to over-fitting when only limited data is available, due to the size of the policy class in relatio…
Study shows mapping class group action is ergodic on specific representations.
Optimizes eigenvalues on surfaces with symmetries.
The paper classifies extensions of Yang-Mills-type theories, proving maximality and universality are dense properties.
New simplicial complex for infinite-type surfaces shows graph properties.
Several uniqueness results on compact maximal hypersurfaces in a wide class of sta- bly causal spacetimes are given. They are obtained from the study of a distinguished function on the maximal hypersurface, under suitable natural first order conditions of the spacetime. As a consequence several applications to Geometri…
Study of conjugacy classes in infinite-type surfaces' mapping class groups.
We count the conjugacy classes of maximal tori in the groups of symplectomorphisms of S^2 \times S^2 and of the blow-up of CP^2 at a point.
This paper improves multi-class calibration methods using mutual information maximization-based binning.
Study finds Stäckel equivalence for superintegrable systems via invariant quadrics.
We introduce and study a new class of representations of surface groups into Lie groups of Hermitian type, called {\em weakly maximal} representations. We prove that weakly maximal representations are discrete and injective and we describe the structure of the Zariski closure of their image. Furthermore we prove that t…
SQFA learns features maximizing Fisher-Rao distance for better classification.
The paper analyzes generalization of noisy, iterative algorithms using maximal leakage.
Maximal solution of a PDE shows boundary smoothness for certain domains.
An analogue of the correspondence between GL(k)-conjugacy classes of matricial polynomials and line bundles is given for K-conjugacy classes, where K is one of the following: maximal parabolic, maximal torus, GL(k-1) embedded diagonally. The generalised Legendre transform construction of hyperkaehler metrics is studied…
Exact learning improves naive Bayes classifier performance for small samples.
New maximal surfaces solve Bernstein problems.
Compactifies maximal component of surface group representations into a closed ball.
We study in this paper the maximal version of the coarse Baum-Connes assembly map for families of expanding graphs arising from residually finite groups. Unlike for the usual Roe algebra, we show that this assembly map is closely related to the (maximal) Baum-Connes assembly map for the group and is an isomorphism for …
We construct canonical frames and find all maximally symmetric models for a natural generic class of corank 2 distributions on manifolds of odd dimension greater or equal to 7. This class of distributions is characterized by the following two conditions: the pencil of 2-forms associated with the corresponding Pfaffian …
We give a concise proof that large classes of optimal (constant curvature or Einstein) pseudo-Riemannian metrics are maximally symmetric within their conformal class.
The paper proves the existence of boundary minimal hypersurfaces in compact manifolds with boundary.
We find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by satisfying the seemingly unrelated notions of Sobolev-to-Lipschitz property, or volume rigidity. We also apply our construction to solutions of the Plateau problem in metric spac…
We construct a Kruskal-Szekeres-type analytic extension of the Emparan-Reall black ring, and investigate its geometry. We prove that the extension is maximal, globally hyperbolic, and unique within a natural class of extensions. The key to those results is the proof that causal geodesics are either complete, or approac…
The study finds a metric that maximizes the second eigenvalue of the Conformal Laplacian.
In this paper, we study a class of quadratic Backward Stochastic Differential Equations (BSDEs) which arises naturally when studying the problem of utility maximization with portfolio constraints. We first establish existence and uniqueness results for such BSDEs and then, we give an application to the utility maximiza…
The paper broadens the class of manifolds where Dirac operator spectra are maximal.
Maximizes coding rate difference for robust, discriminative features.
We study constant mean curvature spacelike hypersurfaces and in particular maximal hypersurfaces immersed in pp-wave spacetimes satisfying the timelike convergence condition. We prove the non-existence of compact spacelike hypersurfaces whose constant mean curvature is non-zero and also that every compact maximal hyper…
We show that the solutions to the second-order differential equation associated to the generalised Chazy equation with parameters and naturally show up in the conformal rescaling that takes a representative metric in Nurowski's conformal class associated to a maximally symmetric -distribution (desc…
We extend the equivariant classification results of Escher and Searle for closed, simply connected, non-negatively curved Riemannian -manifolds admitting isometric isotropy-maximal torus actions to the class of such manifolds admitting isometric strictly almost isotropy-maximal torus actions. In particular, we prove…