The multi-dimensional stochastic Stefan financial model for a portfolio of assets
From MaRDI portal
Publication:2120321
DOI10.3934/dcdsb.2021118zbMath1483.91211arXiv2012.13432OpenAlexW3158744220MaRDI QIDQ2120321
Georgia Karali, Marina Bitsaki, Dimitra Antonopoulou
Publication date: 31 March 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.13432
stochastic volatilitymoving boundary problemfinancial modellimit order booksmulti-D stochastic Stefan problemportfolios managementspreads dynamics
Stochastic models in economics (91B70) Applications of stochastic analysis (to PDEs, etc.) (60H30) Portfolio theory (91G10)
Cites Work
- Unnamed Item
- On the parabolic Stefan problem for Ostwald ripening with kinetic undercooling and inhomogeneous driving force
- Global asymptotic limit of solutions of the Cahn-Hilliard equation
- The Hele--Shaw problem and area-preserving curve-shortening motions
- Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling
- Derivation of the LSW-theory for Ostwald ripening by homogenization methods
- Ostwald ripening for dilute systems under quasistationary dynamics
- The effect of the geometry of the particle distribution in Ostwald ripening
- A stochastic Stefan-type problem under first-order boundary conditions
- The sharp interface limit for the stochastic Cahn-Hilliard equation
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
- Singular limit for stochastic reaction-diffusion equation and generation of random interfaces
- Ostwald ripening in two dimensions -- the rigorous derivation of the equations from the Mullins-Sekerka dynamics
- Asymptotics for fixed transaction costs
- The LSW model for Ostwald ripening with kinetic undercooling
- Limit order books
- Price Dynamics in a Markovian Limit Order Market
- Characterization of Optimal Strategy for Multiasset Investment and Consumption with Transaction Costs
- A Stochastic Model for Order Book Dynamics
- Phase transitions and generalized motion by mean curvature
- Existance uniqueness and regularity of classical solutions of the mullins—sekerka problem