scholarly journals Transfer of Regularity for Markov Semigroups by Using an Interpolation Technique

2021 ◽  
Vol 2 (3) ◽  
Author(s):  
Vlad Bally ◽  
Lucia Caramellino
2017 ◽  
Vol 13 (3) ◽  
pp. 47-64
Author(s):  
Rehab F. Hassan ◽  
◽  
Lubna mhammed Bader

2018 ◽  
Vol 50 (001) ◽  
pp. 133-136
Author(s):  
M. B. BROHI ◽  
A. A. SHAIKH ◽  
S. BHATTI ◽  
S. QUERSHI

2021 ◽  
Vol 67 (5) ◽  
pp. 2878-2909
Author(s):  
Ivan Bardet ◽  
Marius Junge ◽  
Nicholas Laracuente ◽  
Cambyse Rouze ◽  
Daniel Stilck Franca
Keyword(s):  

Author(s):  
Martijn Caspers

Abstract One of the main aims of this paper is to give a large class of strongly solid compact quantum groups. We do this by using quantum Markov semigroups and noncommutative Riesz transforms. We introduce a property for quantum Markov semigroups of central multipliers on a compact quantum group which we shall call ‘approximate linearity with almost commuting intertwiners’. We show that this property is stable under free products, monoidal equivalence, free wreath products and dual quantum subgroups. Examples include in particular all the (higher-dimensional) free orthogonal easy quantum groups. We then show that a compact quantum group with a quantum Markov semigroup that is approximately linear with almost commuting intertwiners satisfies the immediately gradient- ${\mathcal {S}}_2$ condition from [10] and derive strong solidity results (following [10]). Using the noncommutative Riesz transform we also show that these quantum groups have the Akemann–Ostrand property; in particular, the same strong solidity results follow again (now following [27]).


2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Adrian Gawedzki ◽  
K. Wayne Forsythe

Anthracene and arsenic contamination concentrations at various depths in the Buffalo River were analyzed in this study. Anthracene is known to cause damage to human skin and arsenic has been linked to lung and liver cancer. The Buffalo River is labelled as an Area of Concern defined by the Great Lakes Water Quality Agreement between Canada and the United States. It has a long history of industrial activity located in its near vicinity that has contributed to its pollution. An ordinary kriging spatial interpolation technique was used to calculate estimates between sample locations for anthracene and arsenic at various depths. The results show that both anthracene and arsenic surface sediment (0–30 cm) is less contaminated than all subsurface depths. There is variability of pollution within the different subsurface levels (30–60 cm, 60–90 cm, 90–120 cm, 120–150 cm) and along the river course, but major clusters are identified throughout all depths for both anthracene and arsenic.


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