Perturbations of singular fractional SDEs
From MaRDI portal
Publication:6098996
DOI10.1016/j.spa.2023.04.004zbMath1527.60040arXiv2208.01961OpenAlexW4321994379MaRDI QIDQ6098996
Publication date: 19 June 2023
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.01961
fractional Brownian motionperturbed equationsreflected equationsregularization by noisestochastic sewing.
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Stochastic integrals (60H05)
Related Items
Cites Work
- Unnamed Item
- The Jain-Monrad criterion for rough paths and applications to random Fourier series and non-Markovian Hörmander theory
- Averaging along irregular curves and regularisation of ODEs
- Reflected rough differential equations
- Absolute continuity of the laws of perturbed diffusion processes and perturbed reflected diffusion processes
- Random perturbation of PDEs and fluid dynamic models. École d'Été de Probabilités de Saint-Flour XL -- 2010
- Weak limits of perturbed random walks and the equation \(Y_ t = B_ t+\alpha\sup\{Y_ s:s \leq t\} + \beta\inf\{Y_ s:s\leq t\}\)
- Noiseless regularisation by noise
- Stochastic differential equations with reflecting boundary condition in convex regions
- Integration with respect to fractal functions and stochastic calculus. I
- Pathwise uniqueness for perturbed versions of Brownian motion and reflected Brownian motion
- On the strong solutions of one-dimensional stochastic differential equations with reflecting boundary
- Perturbed Skorohod equations and perturbed reflected diffusion processes
- Stochastic integration with respect to Volterra processes
- Approximation of SDEs: a stochastic sewing approach
- Non-uniqueness for reflected rough differential equations
- Sweeping processes perturbed by rough signals
- Pathwise vs. path-by-path uniqueness
- A stochastic sewing lemma and applications
- One-dimensional reflected rough differential equations
- Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
- An explicit formula for the Skorokhod map on \([0,a\)]
- Regularization of differential equations by fractional noise.
- SDEs with two reflecting barriers driven by semimartingales and processes with bounded \(p\)-variation
- SDEs with constraints driven by processes with bounded p-variation
- Fourier Analysis and Nonlinear Partial Differential Equations
- Representation Formulae for the Fractional Brownian Motion
- The Malliavin Calculus and Related Topics
- Stochastic differential equations with reflecting boundary conditions
- ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS
- Rough path metrics on a Besov–Nikolskii-type scale
- Beta Variables as Times Spent in [0, ∞[ By Certain Perturbed Brownian Motions
- C∞− regularization of ODEs perturbed by noise
- The It{\^o}-Tanaka Trick: a non-semimartingale approach
- ON ONE-DIMENSIONAL STOCHASTIC DIFFERENTIAL EQUATIONS INVOLVING THE MAXIMUM PROCESS
- Upper and Lower Bounds for Stochastic Processes
- Uniqueness of Solutions of Stochastic Differential Equations
- A course on rough paths. With an introduction to regularity structures
- A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT