Results 31 to 40 of about 96,261 (253)

On a conjecture of Vorst

, 2009
We prove the following result. Let k be an infinite perfect field of positive characteristic and assume that strong resolution of singularities holds over k. Let R be a localization of a commutative d-dimensional k-algebra of finite type and suppose that
Geisser, Thomas, Hesselholt, Lars
core   +1 more source

Local invertibility and sensitivity of atomic structure-feature mappings [version 1; peer review: 2 approved]

Open Research Europe, 2021
Background: The increasingly common applications of machine-learning schemes to atomic-scale simulations have triggered efforts to better understand the mathematical properties of the mapping between the Cartesian coordinates of the atoms and the variety
Sergey N. Pozdnyakov, Liwei Zhang, Christoph Ortner, Gábor Csányi, Michele Ceriotti   +4 more
doaj   +1 more source

Landau-Ginzburg skeletons

Journal of High Energy Physics, 2017
We study the class of indecomposable two-dimensional Landau-Ginzburg theories with (2,2) supersymmetry and central charge c < 6 with the aim of classifying all such theories up to marginal deformations.
Ian C. Davenport, Ilarion V. Melnikov
doaj   +1 more source

New Isotropic and Anisotropic Sudden Singularities

, 2004
We show the existence of an infinite family of finite-time singularities in isotropically expanding universes which obey the weak, strong, and dominant energy conditions. We show what new type of energy condition is needed to exclude them ab initio.
Abdalla M, Barrow J D, Barrow J D, Barrow J D, Barrow J D, Barrow J D, Barrow J D, Christos G Tsagas, Cotsakis S Klaoudatou I, Curbelo R Gonzalez T Quiros I, Dabrowski M, Dabrowski M Stachowiak T, Ellis G F R, Ellis G F R, Ellis G F R, Gibbons G W, Hao J, John D Barrow, Kofinas G, Lake K, Lukash V, McInnes B, Sahni V, Starobinsky A A, Wu P Yu H, Štefančić H   +25 more
core   +3 more sources

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

Classification of Real Solutions of the Fourth Painlevé Equation

Mathematics
Painlevé transcendents are usually considered as complex functions of a complex variable, but, in applications, it is often the real cases that are of interest.
Jeremy Schiff, Michael Twiton
doaj   +1 more source

Relating amplitude and PDF factorisation through Wilson-line geometries

Journal of High Energy Physics, 2019
We study long-distance singularities governing different physical quantities involving massless partons in perturbative QCD by using factorisation in terms of Wilson-line correlators. By isolating the process-independent hard-collinear singularities from
Giulio Falcioni, Einan Gardi, Calum Milloy   +2 more
doaj   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

The family of cubic differential systems with two real and two complex distinct infinite singularities and invariant straight lines of the type $(3,1,1,1)$

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this article we consider the class $\textbf{CSL}_7^{2r2c \infty}$ of non-degenerate real planar cubic vector fields, which possess two real and two complex distinct infinite singularities and invariant straight lines of total multiplicity 7, including
Cristina Bujac, Dana Schlomiuk, Nicolae Vulpe   +2 more
doaj   +1 more source

Splash singularities for a general Oldroyd model with finite Weissenberg number

, 2019
In this paper we study a 2D Oldroyd free-boundary model which describes the evolution of a viscoelastic fluid. We prove existence of splash singularities, namely points where the boundary remains smooth but self-intersects.
Di Iorio, Elena, Marcati, Pierangelo, Spirito, Stefano   +2 more
core   +1 more source