Continuous functions with impermeable graphs
DOI10.1002/mana.202200268arXiv2201.02159OpenAlexW4379742604MaRDI QIDQ6073281
Gunther Leobacher, Zoltán Buczolich, Alexander Steinicke
Publication date: 17 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.02159
Continuous maps (54C05) Lipschitz (Hölder) classes (26A16) Special maps on metric spaces (54E40) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Hausdorff and packing measures (28A78) Classification of real functions; Baire classification of sets and functions (26A21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On removable sets for holomorphic functions
- Sets of convexity of continuous functions
- Behavior of continuous functions with respect to intersection patterns
- A strong order \(1/2\) method for multidimensional SDEs with discontinuous drift
- Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient
- Exception sets of intrinsic and piecewise Lipschitz functions
- On the performance of the Euler-Maruyama scheme for SDEs with discontinuous drift coefficient
- Removable sets for intrinsic metric and for holomorphic functions
- How Many Zeros Does a Continuous Function Have?
- Nowhere monotone functions and functions of nonmonotonic type
- An Adaptive Euler--Maruyama Scheme for Stochastic Differential Equations with Discontinuous Drift and its Convergence Analysis
- A strong order 3/4 method for SDEs with discontinuous drift coefficient
- Vito Volterra's construction of a nonconstant function with a bounded, non-Riemann integrable derivative
This page was built for publication: Continuous functions with impermeable graphs
