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.
The paper finds new inequalities for convex polygons.
Paper extends Schur's theorem to spherical curves via monotonicity.
Convex hypersurfaces in curved spaces bound convex regions.
Closed surfaces minimize total curvature in curved spaces.
Proves a formula for Kontsevich-Witten tau-function using Schur Q-polynomials.
In this paper, we prove almost Schur Lemma on closed smooth metric measure spaces, which implies the results of X. Cheng and De Lellis-Topping whenever the weighted function f is constant.
The spaces of Sp(n)-, Sp(n)U(1)- and Sp(n)Sp(1)- invariant, translation invariant, continuous convex valuations on the quaternionic vector space H^n are studied. Combinatorial dimension formulas involving Young diagrams and Schur polynomials are proved.
We establish general versions of a variety of results for quasiconvex, lower-semicontinuous, and law-invariant functionals. Our results extend well-known results from the literature to a large class of spaces of random variables. We sometimes obtain sharper versions, even for the well-studied case of bounded random var…
We study the restless bandit associated with an extremely simple scalar Kalman filter model in discrete time. Under certain assumptions, we prove that the problem is indexable in the sense that the Whittle index is a non-decreasing function of the relevant belief state. In spite of the long history of this problem, thi…
Constructs new topological theories in 2D not fitting standard axioms.
Schur theorem proven for weakly Landsberg Finsler metrics.
Researchers prove a stability result for a 3-sphere inequality, extending previous work.
Paper proves a new volume comparison theorem for Riemannian manifolds.
The paper defines new types of positivity and proves properties of Schur forms for vector bundles.
This paper introduces Schur-constant equilibrium distribution models of dimension n for arithmetic non-negative random variables. Such a model is defined through the (several orders) equilibrium distributions of a univariate survival function. First, the bivariate case is considered and analyzed in depth, stressing the…
New algorithm learns ReLU networks efficiently using Schur polynomials.
In this paper, we study a general almost Schur Lemma on pseudo-Hermitian (2n+1)-manifolds for . When the equality of almost Schur inequality holds, we derive the contact form is pseudo-Einstein and the pseudo-Hermitian scalar curvature is constant.
Preprint proves quantum coideal Schur-Weyl duality and generalizes Jones-Wenzl projectors.
In the paper, we give a Schur-Toponogov theorem in Riemannian geometry, which not only generalizes Schur's and Toponogov's theorem but also indicates their relation. Inspired by its proof, we also supply a new proof of Toponogov's theorem (in the large) in Alexandrov geometry.
New CR almost Schur Lemma estimates curvature on compact manifolds.
New combinatorial framework for geometric realizations of subword complexes.
The Hecke algebra H_n contains well known idempotents E_λ which are indexed by Young diagrams with n cells. They were originally described by Gyoja. A skein theoretical description of E_λ was given by Aiston and Morton. The closure of E_λ becomes an element Q_λ of the skein of the annulus. In this skein, they are known…
New unoriented versions of Schur and Bogomolov multipliers for finite groups.
Quantifies Schur's theorem for curves in CAT(k) spaces.
We show that the Schur multiplier of is , when is divisible by 4.
The paper optimizes policies constrained to Schur stabilizing controllers using a Newton-type algorithm.
We compute cup product pairings in the integral cohomology ring of the moduli space of rank two stable bundles with odd determinant over a Riemann surface using methods of Zagier. The resulting formula is related to a generating function for certain skew Schur polynomials. As an application, we compute the nilpotency d…
Let X=G/P be cominuscule rational homogeneous variety. (Equivalently, X admits the structure of a compact Hermitian symmetric space.) We say a Schubert class [S] is Schur rigid if the only irreducible subvarieties Y of X with homology class [Y] = r [S], for an integer r, are Schubert varieties. Robles and The identifie…
Efficiently computes embeddings for large graphs using coarsening.
New basis and Schur-Weyl duality for loop Hecke algebra defined.
New method connects neural networks to diagrammatic algebra.
The paper proves new curvature estimates in quaternionic contact geometry.
Study framizations of algebras using Schur--Weyl duality and tied braids.
Let L be a link in a thickened annulus. We show that its sutured annular Khovanov homology carries an action of the exterior current algebra of the Lie algebra sl_2. When L is an m-framed n-cable of a knot K in the three-sphere, its sutured annular Khovanov homology carries a commuting action of the symmetric group S_n…
Optimizes embedding accuracy for data variance and error.
A new method for efficient portfolio optimization using graph structures.
The paper studies connectivity of Schur-Horn map images in real Grassmannians.
The Schur's theorem of antiholomorphic type is proved for arbitrary almost Hermitian manifolds, namely: If a connected almost Hermitian manifold of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature, then this curvature is a global constant.
We define a map from second quandle homology to the Schur multiplier and examine its properties. Furthermore, we express the second homology of Alexander quandles in terms of exterior algebras. Additionally, we present a self-contained proof of its structure and provide some computational examples.
Defines odd Khovanov homology via categorification of q-Schur algebra.
Origami structures are enumerated and shown to be quantum modular.
New gauge invariants from framed 3-manifolds match Hopf algebra indicators.
In this short note we establish an integral geometric inequality in a smooth metric measure space of the nonnegative Bakry-Émery Ricci curvature. This result can be regarded as a mild generalization of the almost Schur theorem due to De Lellis and Topping (Calc. Var., DOI: 10.1007/s00526-011-0413-z).
In this article, we first establish the main tool - an integral formula for Riemannian manifolds with multiple boundary components (or without boundary). This formula generalizes Reilly's original formula from \cite{Re2} and the recent result from \cite{QX}. It provides a robust tool for sub-static manifolds regardless…
Method for conditional sampling with pre-trained normalizing flows.
A widely applied diversification paradigm is the naive diversification choice heuristic. It stipulates that an economic agent allocates equal decision weights to given choice alternatives independent of their individual characteristics. This article provides mathematically and economically sound choice theoretic founda…
Schur's lemma states that every Einstein manifold of dimension has constant scalar curvature. Here is defined to be Einstein if its traceless Ricci tensor $$\Rico:=\Ric-\frac{R}{n}g$$ is identically zero. In this short note we ask to what extent the scalar curvature is constant if the traceless Ricci …
Edge subdivision affects the Perron eigenvalue of tree Ricci matrices.