The Anxiety-Driven Shadower
Chaotic processes have the property that relatively small numerical errors tend to grow exponentially fast. One may therefore question the validity of a computer study over times longer than this relatively short time. A relevant result in this regard is that of Anosov and Bowen who showed that systems which are uniformly hyperbolic will have the shadowing property: A numerical (or noisy) orbit will stay close to (shadow) a true orbit for all time. More recent results also apply to nonhyperbolic situations.
The Maverick Mathologist.
Cuisines: Inuit, Québécoise (tourtière, pea soup, baked beans, ham dishes, stew of pig legs and maple desserts).
Sports: Bandy, broomball, bobsled, lacrosse, curling, sled dog racing, snowshoeing.
Location: Desert of Nevada, Brazil.
Music: Recently added genres: Drone doom, experimental black metal (esp. whatever Stephen O'Malley is working on or guest-starring now).
maverickmath
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