About the Limit Behaviors of the Transition Operators Associated with EAs

2007 ◽  
pp. 110-119 ◽  
Author(s):  
Lixin Ding ◽  
Sanyou Zeng
Keyword(s):  
Transition Operators

scholarly journals Core polarization effects on electromagnetic transition operators

1969 ◽  
Vol 129 (1) ◽  
pp. 33-44 ◽  
Author(s):  
A.E.L. Dieperink ◽  
P.J. Brussaard
Keyword(s):  
Core Polarization ◽  
Electromagnetic Transition ◽  
Polarization Effects ◽  
Transition Operators

A NOTE ON THE NORMS OF TRANSITION OPERATORS ON LAMPLIGHTER GRAPHS AND GROUPS

2005 ◽  
Vol 15 (05n06) ◽  
pp. 1261-1272 ◽  
Author(s):  
WOLFGANG WOESS
Keyword(s):  
Random Walk ◽  
Wreath Products ◽  
Locally Compact Group ◽  
Operator Matrix ◽  
Locally Compact ◽  
Finitely Generated Groups ◽  
Group Of Isometries ◽  
Transition Operators ◽  
Special Case ◽  
Product Of Groups

Let L≀X be a lamplighter graph, i.e., the graph-analogue of a wreath product of groups, and let P be the transition operator (matrix) of a random walk on that structure. We explain how methods developed by Saloff-Coste and the author can be applied for determining the ℓp-norms and spectral radii of P, if one has an amenable (not necessarily discrete or unimodular) locally compact group of isometries that acts transitively on L. This applies, in particular, to wreath products K≀G of finitely-generated groups, where K is amenable. As a special case, this comprises a result of Żuk regarding the ℓ2-spectral radius of symmetric random walks on such groups.

n ↔ transition operators and their matrix elements in the MIT bag model

1982 ◽  
Vol 116 (4) ◽  
pp. 238-242 ◽  
Author(s):  
Sumathi Rao ◽  
Robert Shrock
Keyword(s):  
Matrix Elements ◽  
Bag Model ◽  
Mit Bag Model ◽  
Transition Operators

On the pairing factors for electric transition operators:

1971 ◽  
Vol 174 (3) ◽  
pp. 551
Author(s):  
P.J. Brussaard
Keyword(s):  
Electric Transition ◽  
Transition Operators

Amenability and Translation Experiments

1983 ◽  
Vol 35 (1) ◽  
pp. 49-58 ◽  
Author(s):  
Alan L. T. Paterson
Keyword(s):  
Present Note ◽  
Locally Compact Group ◽  
Finiteness Condition ◽  
Probability Measures ◽  
Multiplier Theorem ◽  
Bounded Linear ◽  
Discrete Semigroups ◽  
Transition Operators ◽  
Semigroup Version ◽  
Similar Issue

In [11] it is shown that the deficiency of a translation experiment with respect to another on a σ-finite, amenable, locally compact group can be calculated in terms of probability measures on the group. This interesting result, brought to the writer's notice by [1], does not seem to be as wellknown in the theory of amenable groups as it should be. The present note presents a simple proof of the result, removing the σ-finiteness condition and repairing a gap in Torgersen's argument. The main novelty is the use of Wendel's multiplier theorem to replace Torgersen's approach which is based on disintegration of a bounded linear operator from L1(G) into C(G)* for G σ-finite (cf. [5], VI.8.6). The writer claims no particular competence in mathematical statistics, but hopes that the discussion of the above result from the “harmonic analysis” perspective may prove illuminating.We then investigate a similar issue for discrete semigroups. A set of transition operators, which reduce to multipliers in the group case, is introduced, and a semigroup version of Torgersen's theorem is established.

scholarly journals Spectral Analysis of Transition Operators, Automata Groups and Translation in BBS

2016 ◽  
Vol 350 (1) ◽  
pp. 205-229 ◽  
Author(s):  
Tsuyoshi Kato ◽  
Satoshi Tsujimoto ◽  
Andrzej Zuk
Keyword(s):  
Spectral Analysis ◽  
Automata Groups ◽  
Transition Operators
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