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THE DIFFUSION COEFFICIENT FOR PIECEWISE EXPANDING MAPS OF THE INTERVAL WITH METASTABLE STATES
DIFFUSION COEFFICIENT WITH METASTABLE STATES
2015/9/29
Consider a piecewise smooth expanding map of the interval possessing several
invariant subintervals and the same number of ergodic absolutely continuous invariant probability measures (ACIMs).
REGULARITY OF ABSOLUTELY CONTINUOUS INVARIANT MEASURES FOR PIECEWISE EXPANDING UNIMODAL MAPS
INVARIANT MEASURES UNIMODAL MAPS
2015/9/29
An important discovery of the 20th century mathematics is that many deterministic
systems exhibit stochastic behavior. The stochasticity is caused by exponential divergence of nearby trajectories. Th...
On affine maps on non-compact convex sets and some characterizations of finite-dimensional solid ellipsoids
affine maps non-compact convex sets characterizations of finite-dimensional solid ellipsoids
2011/2/25
In recent studies, properties of the set of affine maps between two convex sets have been
investigated with intensive motivation from quantum physics, but in those preceding works
the underlying con...
