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math.AP2022★ 3 cited
Nonlinear stability of periodic roll solutions in the real Ginzburg-Landau equation against -perturbations
Bastian Hilder, Björn de Rijk, Guido Schneider
The real Ginzburg-Landau equation arises as a universal amplitude equation for the description of pattern-forming systems exhibiting a Turing bifurcation. It possesses spatially pe…
math.PR2022★ 1 cited
Quantitative coarse-graining of Markov chains
Bastian Hilder, Upanshu Sharma
Coarse-graining techniques play a central role in reducing the complexity of stochastic models, and are typically characterised by a mapping which projects the full state of the sy…