ISSN:0025-584X    

DOI:10.1002/mana.19871310102

出版商:WILEY‐VCH Verlag    

年代:1987

数据来源: WILEY

摘要:

AbstractFür die stochastische NAVIER‐STOKES‐Gleichung auf einem zweidimensionalen Gebiet wird die Konvergenz der ITǑ‐GALERKIN‐Näherungen im quadratischen Mittel nachgewiesen. Weiterhin wird der MARKOV‐Charakter des Lösungsprozesses bewiesen und Eigenschaften der Trajektori

ISSN:0025-584X    

DOI:10.1002/mana.19871310103

出版商:WILEY‐VCH Verlag    

年代:1987

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.19871310104

出版商:WILEY‐VCH Verlag    

年代:1987

数据来源: WILEY

摘要:

AbstractWe consider two types of random subgraphs of then‐cubeQnobtained by independent deletion the vertices (together with all edges incident with them) or the edges ofQn, respectively, with a prescribed probabilityq= 1 —p. For these two probabilistic models we determine some values of the probabilitypfor which the number of (isolated)k‐dimensional subcubes or the number of vertices of a given degreek, respectively, has asymptotically a Poisson or a Normal distribution. The technique which will be used is that of Poisson convergence introduced by BARBOUR[1] (see also

ISSN:0025-584X    

DOI:10.1002/mana.19871310105

出版商:WILEY‐VCH Verlag    

年代:1987

数据来源: WILEY

摘要:

AbstractThe hydrodynamical limit is studied for infinite systems of BROWNian particles inRd,d= 3, which branch out at exponentially distributed times according to a critical offspring distribution with finite second moment. In the second part a central limit theorem for the hydrodynamical fluctuations is derived in the case, when the branching mechanism has a finite third moment.

ISSN:0025-584X    

DOI:10.1002/mana.19871310106

出版商:WILEY‐VCH Verlag    

年代:1987

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.19871310107

出版商:WILEY‐VCH Verlag    

年代:1987

数据来源: WILEY

摘要:

AbstractIn this paper we present four methods to generate three‐space BANACHspace ideals. They are based on the concept of total incomparability of H. P. ROSENTHALand on a dual concept, total coincomparability, which is here introduced. We use the assertion that the sum of two totally incomparable closed subspaces of a BANACHspace is norm‐closed, which is shown by means of an easier and more natural proof than that of ROSENTHAL[10], and an analogous property about the total coincomparability. Several well‐known ideals are obtained with the above methods, and so they are three‐space

ISSN:0025-584X    

DOI:10.1002/mana.19871310108

出版商:WILEY‐VCH Verlag    

年代:1987

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.19871310109

出版商:WILEY‐VCH Verlag    

年代:1987

数据来源: WILEY

摘要:

AbstractFor a large class of shift transformations of a LEBESGUEmeasure space (they have to fulfil some mixing condition) we construct automorphisms of the hyperfinite factor of type II1. The CONNES‐STØRMERentropy of the resulting automorphisms equals the measure theoretic entropy of the corresponding shift transformations. Two such automorphisms are conjugate if the conjugacy between the original measure space shifts can be given by a code with finite expected code leng

ISSN:0025-584X    

DOI:10.1002/mana.19871310110

出版商:WILEY‐VCH Verlag    

年代:1987

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.19871310111

出版商:WILEY‐VCH Verlag    

年代:1987

数据来源: WILEY