scholarly journals Transformations With Discrete Spectrum are Stacking Transformations

1976 ◽  
Vol 28 (4) ◽  
pp. 836-839 ◽  
Author(s):  
Andrés Del Junco

The stacking method (see [1] and [5, Section 6]) has been used with great success in ergodic theory to construct a wide variety of examples of ergodic transformations (see, for example, [1 ; 3 ; 4; 5; 7]). However very little is known in general about the class of transformations which can be constructed by the stacking method using single stacks. In particular there is no simple characterization of the class .

Author(s):  
Keivan Etessam-Yazdani ◽  
Mehdi Asheghi

Experimental measurement of thermal conductivity is considered the most reliable tool for the study of phonon transport in ultra-thin silicon structures. While there has been a great success in thermal conductivity measurement of ultra-thin silicon layers down to 20 nm over the past decade, it is not clear if the existing techniques and tools can be extended to the measurements of sun 100 Angstrom layers. In this paper, an analytical study of the feasibility of electrical Joule heating and thermometry in patterned metal bridges is presented. It is concluded that thermal conductivity of silicon layers as thin as 5 nm can be obtained (uncertainty 20%) by performing steady-state measurements using an on-substrate nanoheater structure. The thermal characterization of silicon layers as thin as 1 nm may be possible using frequency domain measurements.


Author(s):  
Joseph P. Reidy

Confined space offers an instructive vantage point into the reconfiguration of social relationships that were central to the emancipation process. In homes and kitchens throughout the slave states, enslaved house servants devised strategies for asserting greater control over their labor and their lives, even when escape to freedom was out of reach. Women and men hired to work in the shops and factories that supported the Confederate war effort interacted with new casts of characters with new possibilities for stretching their customary boundaries and shedding their usual constraints. For freedom-seeking refugees who reached Union lines, refugee camps (generally called "contraband camps") offered shelter and employment, though often under the watchful eyes of proselytizing Northerners. Cities presented special conditions for the breakdown of slavery, as the experience of Washington, D.C., illustrates. The D.C. emancipation act of April 1862 set in motion a contested process that defies the simple characterization of immediate emancipation.


1987 ◽  
Vol 94 (6) ◽  
pp. 534-536 ◽  
Author(s):  
Detlef Laugwitz ◽  
Bernd Rodewald

2019 ◽  
Vol 235 (3) ◽  
pp. 1877-1887 ◽  
Author(s):  
Sara Bruschini ◽  
Simona di Martino ◽  
Maria Elena Pisanu ◽  
Luigi Fattore ◽  
Claudia De Vitis ◽  
...  

2020 ◽  
Vol 36 (3) ◽  
pp. 679-687 ◽  
Author(s):  
Hemanshu Kaul ◽  
Jeffrey A. Mudrock ◽  
Michael J. Pelsmajer ◽  
Benjamin Reiniger

1993 ◽  
Vol 30 (02) ◽  
pp. 330-340 ◽  
Author(s):  
Dale N. Anderson ◽  
Barry C. Arnold

Using a simple characterization of the Linnik distribution, discrete-time processes having a stationary Linnik distribution are constructed. The processes are structurally related to exponential processes introduced by Arnold (1989), Lawrance and Lewis (1981) and Gaver and Lewis (1980). Multivariate versions of the processes are also described. These Linnik models appear to be viable alternatives to stable processes as models for temporal changes in stock prices.


1996 ◽  
Vol 16 (1) ◽  
pp. 97-124 ◽  
Author(s):  
Geoffrey R. Goodson ◽  
Andrés del Junco ◽  
Mariusz Lemańczyk ◽  
Daniel J. Rudolph

AbstractLetTbe an ergodic automorphism defined on a standard Borel probability space for whichTandT−1are isomorphic. We investigate the form of the conjugating automorphism. It is well known that ifTis ergodic having a discrete spectrum andSis the conjugation betweenTandT−1, i.e.SsatisfiesTS=ST−1thenS2=Ithe identity automorphism. We show that this result remains true under the weaker assumption thatThas a simple spectrum. IfThas the weak closure property and is isomorphic to its inverse, it is shown that the conjugationSsatisfiesS4=I. Finally, we construct an example to show that the conjugation need not be an involution in this case. The example we construct, in addition to having the weak closure property, is of rank two, rigid and simple for all orders with a singular spectrum of multiplicity equal to two.


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