Double ergodicity of the Poisson boundary and applications to bounded cohomology

2003 ◽  
Vol 13 (4) ◽  
pp. 852-861 ◽  
Author(s):  
Vadim A. Kaimanovich
Keyword(s):  
Poisson Boundary ◽  
Bounded Cohomology

scholarly journals Barycentric straightening and bounded cohomology

2018 ◽  
Vol 21 (2) ◽  
pp. 381-403 ◽  
Author(s):  
Jean-François Lafont ◽  
Shi Wang
Keyword(s):  
Bounded Cohomology

scholarly journals The cup product of Brooks quasimorphisms

2018 ◽  
Vol 30 (5) ◽  
pp. 1157-1162 ◽  
Author(s):  
Michelle Bucher ◽  
Nicolas Monod
Keyword(s):  
Free Group ◽  
Automorphism Groups ◽  
Bounded Cohomology ◽  
Universal Class ◽  
Cup Product

AbstractWe prove the vanishing of the cup product of the bounded cohomology classes associated to any two Brooks quasimorphisms on the free group. This is a consequence of the vanishing of the square of a universal class for tree automorphism groups.

scholarly journals Bounded cohomology of amenable covers via classifying spaces

2020 ◽  
Vol 66 (1) ◽  
pp. 151-172
Author(s):  
Clara Löh ◽  
Roman Sauer
Keyword(s):  
Classifying Spaces ◽  
Bounded Cohomology

The Poisson boundary of covering Markov operators

1995 ◽  
Vol 89 (1-3) ◽  
pp. 77-134 ◽  
Author(s):  
Vadim Kaimanovich
Keyword(s):  
Poisson Boundary ◽  
Markov Operators

Trace/extension operators in rough domains and applications to partial differential equations

2015 ◽  
Author(s):  
◽  
Kevin Brewster
Keyword(s):  
Dirichlet Boundary ◽  
Boundary Value ◽  
Weighted Sobolev Spaces ◽  
Extension Operator ◽  
Extension Theory ◽  
Lipschitz Domains ◽  
Poisson Boundary ◽  
Ellipticity Condition ◽  
University Of Missouri ◽  
The University

[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Trace and extension theory lay the foundation for solving a plethora of boundary value problems. In developing this theory, one typically needs well-behaved extension operators from a specified domain to the entire Euclidean space. Historically, three extension operators have developed much of the theory in the setting of Lipschitz domains (and rougher domains); those due to A.P. Calderon, E.M. Stein, and P.W. Jones. In this dissertation, we generalize Stein's extension operator to weighted Sobolev spaces and Jones' extension operator to domains with partially vanishing traces. We then develop a rich trace/extension theory as a tool in solving a Poisson boundary value problem with Dirichlet boundary condition where the differential operator in question is of second order in divergence form with bounded coefficients satisfying the Legendre-Hadamard ellipticity condition.

Bounded Cohomology, a Rough Outline

1992 ◽  
pp. 273-320
Author(s):  
Riccardo Benedetti ◽  
Carlo Petronio
Keyword(s):  
Bounded Cohomology ◽  
Rough Outline
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