Experimental study of Brownian motion in the limit of small time intervals by means of an ideal gas simulator

1980 ◽  
Vol 48 (10) ◽  
pp. 818-820
Author(s):  
Henry Unruh
Keyword(s):  
Experimental Study ◽  
Brownian Motion ◽  
Ideal Gas ◽  
Small Time ◽  
Time Intervals

A Simple Method for Measuring Small Time Intervals

Science ◽  
1934 ◽  
Vol 79 (2039) ◽  
pp. 82-83
Author(s):  
K. D. Roeder
Keyword(s):  
Small Time ◽  
Time Intervals ◽  
Simple Method

Experimental study of the Brownian motion of a harmonically bound particle

1979 ◽  
Vol 47 (9) ◽  
pp. 827-828
Author(s):  
Henry Unruh ◽  
Patrick M. Maxton ◽  
Jonathan Schwartz
Keyword(s):  
Experimental Study ◽  
Brownian Motion

Markov chains in small time intervals

1981 ◽  
Vol 18 (3) ◽  
pp. 747-751
Author(s):  
Stig I. Rosenlund
Keyword(s):  
Markov Chain ◽  
Markov Chains ◽  
Transition Probability ◽  
Small Time ◽  
Exact Order ◽  
Time Intervals ◽  
Continuous Parameter ◽  
Minimum Number

For a time-homogeneous continuous-parameter Markov chain we show that as t → 0 the transition probability pn,j (t) is at least of order where r(n, j) is the minimum number of jumps needed for the chain to pass from n to j. If the intensities of passage are bounded over the set of states which can be reached from n via fewer than r(n, j) jumps, this is the exact order.

scholarly journals Scaling behaviour of the global tropopause

2008 ◽  
Vol 8 (5) ◽  
pp. 17891-17905
Author(s):  
C. Varotsos ◽  
M. Efstathiou ◽  
C. Tzanis
Keyword(s):  
Detrended Fluctuation Analysis ◽  
Small Time ◽  
Radiosonde Data ◽  
Fluctuation Analysis ◽  
Tropopause Height ◽  
Time Intervals ◽  
Long Range Correlations ◽  
The Tropics ◽  
Detrended Fluctuation ◽  
Climatic Characteristics

Abstract. Detrended fluctuation analysis is applied to the time series of the global tropopause height derived from the 1980–2004 daily radiosonde data, in order to detect long-range correlations in its time evolution. Global tropopause height fluctuations in small time-intervals are found to be positively correlated to those in larger time intervals in a power-law fashion. The exponent of this dependence is larger in the tropics than in the middle and high latitudes in both hemispheres. Greater persistence is observed in the tropopause of the Northern than in the Southern Hemisphere. This finding for the tropopause height variability should reduce the existing uncertainties in assessing the climatic characteristics.

Fractal Properties of Financial Assets and Forcasting Financial Crisis

2018 ◽  
pp. 23-41 ◽  
Author(s):  
Inna Nekrasova ◽  
Oxana Karnaukhova ◽  
Oleg Sviridov
Keyword(s):  
Fractal Dimension ◽  
Financial Markets ◽  
Future Development ◽  
Small Time ◽  
Practical Significance ◽  
Financial Assets ◽  
Time Intervals ◽  
Price Fluctuations ◽  
Fractal Properties ◽  
Fractal Index

The chapter is aimed at identification of criteria to select financial assets for investment; observing price fluctuations at small time intervals (up to one week) as possible predictors of the future of a significant increase in the price fluctuations amplitude; determining a fractal dimension of the financial markets on the basis of R/S-analysis; constructing a fractal index indicator to identify a bifurcation point, which gives birth to a possibility of crisis phenomena in economy. Therefore, the practical significance of the chapter lies in the idea of equipping academics and practitioners with new methods and tools for analysis and forecasting future development and dynamics of the financial markets.

Semiconductor transducer of small time intervals

1973 ◽  
Vol 16 (4) ◽  
pp. 570-571
Author(s):  
Yu. I. Malyshev
Keyword(s):  
Small Time ◽  
Time Intervals ◽  
Semiconductor Transducer

Methods and means for precision measurements of small time intervals

1963 ◽  
Vol 6 (12) ◽  
pp. 1046-1050
Author(s):  
E. M. Vinnikov ◽  
D. P. Markovskii
Keyword(s):  
Small Time ◽  
Precision Measurements ◽  
Time Intervals

The Imposition of Empirical Acceptability Conditions on Sequences of Single Measurements

1969 ◽  
Vol 24 (1) ◽  
pp. 86-96 ◽  
Author(s):  
Paul A. Benioff
Keyword(s):  
Quantum Mechanics ◽  
Classical Mechanics ◽  
Physical Principle ◽  
Small Time ◽  
Time Interval ◽  
Single Measurement ◽  
Time Intervals ◽  
Regression Problem ◽  
Expectation Value ◽  
Almost All

AbstractHere, some difficulties resulting from the application of any empirical acceptability conditions on sequences of single measurements are investigated. In particular, the often used acceptability requirement that each single measurement be made under the "same conditions" is discussed. In quantum mechanics, this means that each single measurement is made of the same physical quantity on a system in a ensemble of identically prepared systems. One of the resultant difficulties is that such an application leads to an infinite regression of sequences of single measurements. That is, it does not account for the fact that an observer must start the process of measurement or knowledge acquisition. Furthermore, it is seen that there are some basic sequences of single measurements for which an observer can not possibly know at the outset that the "same condition" requirements are satisfied. These include those measurements by which the homogeneity of space-time is tested. The possible relevance of these difficulties to physics is shown by first considering two possi­bilities of avoiding these difficulties. One is that the "same condition" requirements can be given the weaker interpretation that there be no physical principle forbidding an observer from knowing in terms of limit empirical means, that they are satisfied at the outset of any sequence. This gets rid of the infinite regression problem as it does not mean that an observer must know in fact that these requirements are satisfied. The other possibility is that if physics does not forbid one in principle from measuring an expectation value in an arbitrarily small time interval then both the basic sequence as well as those by which one knows the "same" requirements are satisfied can be relegated to arbitrarily small time intervals. As far as physics is concerned, then the epistemological difficulties while existing in these small intervals, do not exist for other times, or almost all time. It is then shown that quantum mechanics, as distinct from classical mechanics, and the special relativity require that an infinite time interval is necessary to measure, as a limit mean, any expectation value. Thus physics denies both the above possibilities as it forbids an observer from knowing even in principle, by any finite time that the "same" requirements are satisfied. Also, physics forbids the relegation of the epistemological problems to arbitrarily small time intervals.

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