A Wiener sausage is the region swept out by a ball of fixed radius along a Brownian motion path. A deterministic continuous displacement gives the variant . On each bounded time interval it has finite expected volume: the region lies inside a ball whose radius is the path's maximum displacement plus , and the Brownian maximum has Gaussian tail bounds and finite moments of every order.
Wiener sausage, also known as "Wienerwürstchen" or simply "Wiener," is a type of sausage that originated in Austria, specifically in Vienna (Wien in German). It is typically made from finely ground meat, most commonly pork, but can also include beef or poultry, and is seasoned with various spices. The mixture is usually encased in a thin, natural or synthetic casing and is often smoked.
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