Embeddings and Factor Maps

1998 ◽  
pp. 95-133
Author(s):  
Bruce P. Kitchens
Keyword(s):  
Geosciences ◽  
2021 ◽  
Vol 11 (1) ◽  
pp. 35
Author(s):  
Luca Schilirò ◽  
José Cepeda ◽  
Graziella Devoli ◽  
Luca Piciullo

In Norway, shallow landslides are generally triggered by intense rainfall and/or snowmelt events. However, the interaction of hydrometeorological processes (e.g., precipitation and snowmelt) acting at different time scales, and the local variations of the terrain conditions (e.g., thickness of the surficial cover) are complex and often unknown. With the aim of better defining the triggering conditions of shallow landslides at a regional scale we used the physically based model TRIGRS (Transient Rainfall Infiltration and Grid-based Regional Slope stability) in an area located in upper Gudbrandsdalen valley in South-Eastern Norway. We performed numerical simulations to reconstruct two scenarios that triggered many landslides in the study area on 10 June 2011 and 22 May 2013. A large part of the work was dedicated to the parameterization of the numerical model. The initial soil-hydraulic conditions and the spatial variation of the surficial cover thickness have been evaluated applying different methods. To fully evaluate the accuracy of the model, ROC (Receiver Operating Characteristic) curves have been obtained comparing the safety factor maps with the source areas in the two periods of analysis. The results of the numerical simulations show the high susceptibility of the study area to the occurrence of shallow landslides and emphasize the importance of a proper model calibration for improving the reliability.


2019 ◽  
Vol 230 (1) ◽  
pp. 239-273
Author(s):  
Kevin McGoff ◽  
Ronnie Pavlov
Keyword(s):  

1999 ◽  
Vol 77 (2) ◽  
pp. 494 ◽  
Author(s):  
E A Mendez ◽  
L A Messer ◽  
N J Larsen ◽  
A Robic ◽  
M F Rothschild

1998 ◽  
Vol 125 (2) ◽  
pp. 165-172 ◽  
Author(s):  
Paul Trow
Keyword(s):  

1991 ◽  
Vol 11 (1) ◽  
pp. 85-113 ◽  
Author(s):  
Bruce Kitchens ◽  
Brian Marcus ◽  
Paul Trow

AbstractWe prove some results related to the question of the existence of factor maps and eventual factor maps between shifts of finite type. Our main result is that if A and B are integral eventually positive (IEP) matrices, and A eventually factors finite-to-one onto B, then there exists an IEP matrix C such that A eventually factors onto C by left closing maps and C eventually factors onto B by right closing maps. This answers the question of the existence of finite-to-one eventual factor maps when the spectrum of A is simple. As a corollary, if in addition to the above hypothesis, χ*A=χ*B, (where χ*A is the characteristic polynomial of A modulo x), then A is shift equivalent to B.


AAPG Bulletin ◽  
1963 ◽  
Vol 47 ◽  
Author(s):  
W. C. Krumbein (2), John Imbrie (3)
Keyword(s):  

Author(s):  
Mark W. Wiggins ◽  
Renee Glass

Safety factor maps can provide a visual summary of the events associated with accidents and incidents. Because they employ conceptual mapping techniques, they enable both a hierarchical and temporal representation of the antecedents of an adverse event. We describe the development of safety factor maps and a strategy to assess both the reliability and the validity of the maps that are constructed. Our initial findings suggest that they have the potential to improve the accessibility of the outcomes of investigation reports.


1992 ◽  
Vol 12 (3) ◽  
pp. 459-478 ◽  
Author(s):  
Adam Fieldsteel ◽  
Daniel J. Rudolph

AbstractGeneralizing from the centralizer of a measure-preserving dynamical system (X, ℬ, μ,T), one defines the Kakutani centralizerKC(T) of all ‘even Kakutani factor maps’ ϕ fromTto itself. Such a ϕ is a composition φ2ϕ1of an even Kakutani orbit equivalence ϕ1and a factor map ϕ2. We construct here an ergodicTacting on a nonatomic Lebesgue space (X,ℬ,μ) with the property that any ϕ ∈ KC(T) is invertible and of the formAll invertible maps of this form are automatically in KC(T) and hence for thisTthe Kakutani centralizer is as small as possible.


2005 ◽  
Vol 146 (1) ◽  
pp. 253-280 ◽  
Author(s):  
Ian F. Putnam
Keyword(s):  

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