The height function of TASEP with space-time discontinuous speed function converges to a deterministic limit given by a Lax-Oleinik variational formula that satisfies a discontinuous Hamilton-Jacobi equation.
Sepp ¨al¨ainen, Existence of hydrodynamics for the totally asymmetric simple 𝐾-exclusion process, Ann
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A persistent homology framework on kernel density estimates of stationary distributions detects shifts in P-bifurcation onset and topology for a two-degree-of-freedom stochastic aeroelastic flutter model under sinusoidal, Dryden, and von Karman turbulence.
Classifies separable interactions for 2, 3, and 4 local states into 1, 2, and 5 equivalence classes respectively and proves that wedge sums and box products preserve the irreducibly quantified condition.
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Hydrodynamic limits for TASEP with space-time discontinuities
The height function of TASEP with space-time discontinuous speed function converges to a deterministic limit given by a Lax-Oleinik variational formula that satisfies a discontinuous Hamilton-Jacobi equation.
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P-Bifurcations in Stochastic Flutter Model Under Turbulence
A persistent homology framework on kernel density estimates of stationary distributions detects shifts in P-bifurcation onset and topology for a two-degree-of-freedom stochastic aeroelastic flutter model under sinusoidal, Dryden, and von Karman turbulence.
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On Interactions for Large Scale Interacting Systems
Classifies separable interactions for 2, 3, and 4 local states into 1, 2, and 5 equivalence classes respectively and proves that wedge sums and box products preserve the irreducibly quantified condition.