zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Homogeneous diffusions on the Sierpiński gasket. (English) Zbl 0917.60073
Azéma, Jacques (ed.) et al., Séminaire de probabilités XXXII. Berlin: Springer. Lect. Notes Math. 1686, 86-107 (1998).
The author constructs a one parameter family of Feller diffusion processes on the (unbounded) Sierpiński gasket which are invariant under some isometries of the fractal but not necessarily scale invariant. The latter property poses a major technical problem because the time scaling of the approximating Markov chains is no more natural. A perturbation result for matrix powers in [the author, J. Theor. Probab. 9, No. 3, 647-658 (1996)] is used to derive convergence results for multi-type branching processes which in turn settle the scaling problem. The construction of the limiting process follows the arguments of Barlow and Perkins. The extreme ends of the above family are the one-dimensional Brownian motion and the so-called Brownian motion on the Sierpinski gasket.
MSC:
60J60Diffusion processes
60J80Branching processes