scholarly journals On smoothing properties of transition semigroups associated to a class of SDEs with jumps

2014 ◽  
Vol 50 (4) ◽  
pp. 1347-1370 ◽  
Author(s):  
Seiichiro Kusuoka ◽  
Carlo Marinelli
Keyword(s):  
Transition Semigroups

scholarly journals Large Aperiodic Semigroups

2015 ◽  
Vol 26 (07) ◽  
pp. 913-931 ◽  
Author(s):  
Janusz Brzozowski ◽  
Marek Szykuła
Keyword(s):  
Finite Automata ◽  
Special Structure ◽  
Binary Trees ◽  
Aperiodic Semigroup ◽  
Complete Semigroup ◽  
Transition Semigroups ◽  
Single State ◽  
Empty Subset

We search for the largest syntactic semigroups of star-free languages having n left quotients; equivalently, we look for the largest transition semigroups of aperiodic finite automata with n states. We first introduce unitary semigroups generated by transformations that change only one state. In particular, we study unitary-complete semigroups which have a special structure, and show that each maximal unitary semigroup is unitary-complete. For [Formula: see text] we exhibit a unitary-complete semigroup that is larger than any aperiodic semigroup known to date. We then present even larger aperiodic semigroups, generated by transformations that map a non-empty subset of states to a single state; we call such transformations and semigroups semiconstant. We examine semiconstant tree semigroups which have a structure based on full binary trees. The semiconstant tree semigroups are at present the best candidates for largest aperiodic semigroups.

On the norm continuity of transition semigroups in Hilbert spaces

1998 ◽  
Vol 70 (1) ◽  
pp. 52-56 ◽  
Author(s):  
Wolfgang Desch ◽  
Abdelaziz Rhandi
Keyword(s):  
Hilbert Spaces ◽  
Norm Continuity ◽  
Transition Semigroups
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