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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...
A note on the volume flux of smooth and continuous strictly contact isotopies
Flux homomorphism strictly contact isotopy regular contact form topological or continuous Hamiltonian
2011/9/20
Abstract: This note on the flux homomorphism for strictly contact isotopies complements the recent paper [MS11a] by P. Spaeth and the author. We determine the volume flux restricted to symplectic and ...
On continuous expansions of configurations of points in Euclidean space
regular simplex expanding configuration continuous expansion
2011/8/22
Abstract: For any two configurations of ordered points $p=(p_{1},...,\p_{N})$ and $q=(q_{1},...,q_{N})$ in Euclidean space $E^d$ such that $q$ is an expansion of $p$, there exists a continuous expansi...
Geometrization of continuous characters of $\mathbb{Z}_p^\times$
Geometrization Kummer local systems
2011/1/17
We define the p-adic trace of certain Kummer local systems on the multiplicative group over p-adic numbers, using nearby cycles. For every nonnegative integer n, we prove that the p-adic trace defines...