Quasi-isometric classification of non-uniform lattices in semisimple groups of higher rank

2000 ◽  
Vol 10 (2) ◽  
pp. 327-388 ◽  
Author(s):  
C. Drutu
Keyword(s):  
Semisimple Groups ◽  
Higher Rank

Classification of higher rank orbit closures in ${\mathcal H^{\mathrm{odd}}(4)}$

2016 ◽  
Vol 18 (8) ◽  
pp. 1855-1872 ◽  
Author(s):  
David Aulicino ◽  
Duc-Manh Nguyen ◽  
Alex Wright
Keyword(s):  
Orbit Closures ◽  
Higher Rank

scholarly journals Rigidity properties for commuting automorphisms on tori and solenoids

2021 ◽  
pp. 1-46
Author(s):  
MANFRED EINSIEDLER ◽  
ELON LINDENSTRAUSS
Keyword(s):  
Complete Classification ◽  
Rigidity Theorem ◽  
Positive Entropy ◽  
Measure Rigidity ◽  
Higher Rank ◽  
Measurable Factors

Abstract Assuming positive entropy, we prove a measure rigidity theorem for higher rank actions on tori and solenoids by commuting automorphisms. We also apply this result to obtain a complete classification of disjointness and measurable factors for these actions.

The Application of the X-Ray Laws to Optical Spectra of Higher Rank, and the Classification of Ga IV and Ge V

1928 ◽  
Vol 31 (5) ◽  
pp. 748-772 ◽  
Author(s):  
J. E. Mack ◽  
Otto Laporte ◽  
R. J. Lang
Keyword(s):  
Optical Spectra ◽  
X Ray ◽  
Higher Rank

Stabilizers for Ergodic Actions of Higher Rank Semisimple Groups

1994 ◽  
Vol 139 (3) ◽  
pp. 723 ◽  
Author(s):  
Garrett Stuck ◽  
Robert J. Zimmer
Keyword(s):  
Semisimple Groups ◽  
Higher Rank

scholarly journals Placement of Triblidiaceae in Rhytismatales and comments on unique ascospore morphologies in Leotiomycetes (Fungi, Ascomycota)

MycoKeys ◽  
2019 ◽  
Vol 54 ◽  
pp. 99-133 ◽  
Author(s):  
Jason M. Karakehian ◽  
Luis Quijada ◽  
Gernot Friebes ◽  
Joey B. Tanney ◽  
Donald H. Pfister
Keyword(s):  
Boreal Forests ◽  
Western Hemisphere ◽  
Drought Tolerant ◽  
The Family ◽  
History Of ◽  
Higher Rank ◽  
Recent Classification ◽  
Dark Blue ◽  
Ascospore Morphology

Triblidiaceae is a family of uncommonly encountered, non-lichenized discomycetes. A recent classification circumscribed the family to includeTriblidium(4 spp. and 1 subsp.),Huangshania(2 spp.) andPseudographis(2 spp. and 1 var.). The apothecia of these fungi are persistent and drought-tolerant; they possess stromatic, highly melanized covering layers that open and close with fluctuations of humidity. Triblidialean fungi occur primarily on the bark ofQuercus, Pinaceae and Ericaceae, presumably as saprobes. Though the type species ofHuangshaniais from China, these fungi are mostly known from collections originating from Western Hemisphere temperate and boreal forests. The higher-rank classification of triblidialean fungi has been in flux due in part to an overemphasis on ascospore morphology. Muriform ascospores are observed in species ofTriblidiumand inPseudographiselatina. An intense, dark blue/purple ascospore wall reaction in iodine-based reagents is observed in species ofPseudographis. These morphologies have led, in part, to these genera being shuffled among unrelated taxa in Hysteriaceae (Dothideomycetes, Hysteriales) and Graphidaceae (Lecanoromycetes, Ostropales). Triblidiaceae has been placed within the monofamilial order Triblidiales (affinity Lecanoromycetes). Here, we demonstrate with a three-gene phylogenetic approach that triblidialean fungi are related to taxa in Rhytismatales (Leotiomycetes). We synonymize Triblidiales under Rhytismatales and emend Triblidiaceae to includeTriblidiumandHuangshania, withPseudographisplaced within Rhytismataceae. A history of Triblidiaceae is provided along with a description of the emended family. We discuss how the inclusion of triblidialean fungi in Rhytismatales brings some rarely observed or even unique ascospore morphologies to the order and to Leotiomycetes.

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