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.
This paper generalizes Michell Truss to higher dimensions using geometric measure theory.
We present Michel Kervaire work on knots in higher dimensions.
Novel ternary structures reveal new interpretations of linear connections.
This text aims to explain general relativity to geometers who have no knowledge about physics. Using handwritten notes by Michel Vaugon, we construct the bases of the theory.
New method calculates volume-renormalized mass from Hamiltonian perspective.
Consider a Hamiltonian action by a compact Lie group on a possibly noncompact symplectic manifold. We give a short proof of a geometric formula for decomposition into irreducible representations of the equivariant index of a Spin-Dirac operator in this context. This formula was conjectured by Michèle Vergne in 2006…
We study Dehn surgeries on null-homotopic knots that yield fibred --manifolds when an additional (but natural) homological restriction is imposed. The major tool used is Gabai's theory of sutured manifold decomposition. Such surgeries are negative examples to a question of Michel Boileau. Another result we will prov…
Frustration causes buckling-like behavior in tubular foldable mechanisms.
The construction of characteristic classes via the curvature form of a connection is one motivation for the refinement of integral cohomology by de Rham cocycles -- known as differential cohomology. We will discuss the analog in the case of a group action on the manifold: The definition of equivariant characteristic fo…
Structural optimization is a popular method for designing objects such as bridge trusses, airplane wings, and optical devices. Unfortunately, the quality of solutions depends heavily on how the problem is parameterized. In this paper, we propose using the implicit bias over functions induced by neural networks to impro…
Study of conjugacy classes in infinite-type surfaces' mapping class groups.
New method classifies -boundaries up to 6 crossings.
Paper proposes a closed-form formula for geometric Istanbul call options.
An iterated function system consisting of contractive similarity mappings has a unique attractor which is invariant under the action of the system, as was shown by Hutchinson [Hut]. This paper shows how the action of the function system naturally produces a tiling of the con…
A generalization of the Euler-Plateau problem to account for the energy contribution due to twisting of the bounding loop is proposed. Euler-Lagrange equations are derived in a parameterized setting and a bifurcation analysis is performed. A pair of dimensionless parameters govern bifurcations from a flat, circular gro…
New mass and staticity concepts derived from weighted curvature maps.
Mutual information minimum spanning trees are used to explore nonlinear dependencies on Brazilian equity network in the periods from June/01/2015 to January/26/2016, in which Brazil was under the government of President Dilma Rousseff, and from January/27/2016 to September/08/2016 which includes the government transiti…
SOLO uses DNN to optimize complex topology problems with reduced FEM calculations.
This paper proposes a new VoI analysis framework for complex decision problems.
This paper develops a geometric framework for SHM using feature bundles and gauge theories.