Hausdorff dimension of regular points in stochastic Burgers flows with Lévy \(\alpha\)-stable initial data
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Publication:1285202
DOI10.1007/BF02180207zbMath0952.35504OpenAlexW2069209229MaRDI QIDQ1285202
A. W. Janicki, Wojbor A. Woyczyński
Publication date: 18 January 2001
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02180207
Infinitely divisible distributions; stable distributions (60E07) Monte Carlo methods (65C05) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs with randomness, stochastic partial differential equations (35R60)
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Cites Work
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- Stability theorem for stochastic differential equations with jumps
- Some results on the behavior and estimation of the fractal dimensions of distributions on attractors
- Statistics of shocks in solutions of inviscid Burgers equation
- The inviscid Burgers equation with initial data of Brownian type
- Stable densities under change of scale and total variation inequalities
- An extremal rearrangement property of statistical solutions of Burgers' equation
- Stratified structure of the Universe and Burgers' equation -- a probabilistic approach
- Can one see \(\alpha\)-stable variables and processes?
- Hyperbolic asymptotics in Burgers' turbulence and extremal processes
- Gibbs-Cox random fields and Burgers turbulence
- Statistical properties of shocks in Burgers turbulence
- Scale renormalization and random solutions of the Burgers equation
- On the Unimodality of Geometric Stable Laws
- Asymptotic properties of Burgers turbulence
- A Method for Simulating Stable Random Variables
- Burgers' equation by non-local shot noise data
- Statistics of decaying Burgers turbulence