Copyright © Philip M. Parker, INSEAD. Terms of Use.
| Domain | Definition |
Finance | The theory that share prices move as though they had no memory and that they do not follow prescribed patterns thus suggesting that the use of charts is less than effective way of anticipating future price movements. Source: European Union. (references) |
Statistics | The path traversed by a particle which moves in steps, each step being determined by chance either in regard to direction or in regard to magnitude or both. Source: European Union. (references) |
Source: compiled by the editor from various references; see credits. | |
(From Wikipedia, the free Encyclopedia)
The simplest random walk is a path constructed according to the following rules:
The following, perhaps surprising, theorem is very useful in the study of random walks:
Theorem 1.1 For any random walk, every point in the domain will almost surely be crossed an infinite number of times. That is, (crossing times)
Eight random walks, each starting at zero, are shown here for 100 timesteps. At each instant, they go either one step step forwards or backwards. As one can see, while their average position remains zero, their average distance to the origin does indeed increase, but more slowly than linearly.
Properties
The average straight-line distance between start and finish points of a random walk of length n is O(n1/2).Example
Eight random walks starting at (0,0).Significance in mathematics and physics
Random walks are sometimes used as simplified models of Brownian motion and the random movement of molecules in liquids and gases. A random walk also serves as an idealized mathematical model for coin-tossing.Suggested reading
Chapter 3 of this book contains a thorough discussion of random walks, including advanced results, using only elementary tools.
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Random walk."
Crosswords: RANDOM WALK |
| Specialty definitions using "RANDOM WALK": Bernoulli walk ♦ Harris walk. (references) |
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Source: compiled by the editor from various references; see credits. | |
Expression using "RANDOM WALK": random walk theory. Additional references. | |
| Source: compiled by the editor from various references; see credits. |
| The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com. |
| Expression | Frequency per Day |
random walk | 25 |
a random walk down wall street | 10 |
random walk theory | 7 |
manga random walk | 3 |
computing random walk | 2 |
3d mathematica random walk | 2 |
| Source: compiled by the editor from various references; see credits. | |
| Language | Translations for "RANDOM WALK"; alternative meanings/domain in parentheses. | ||||||||||||||||||||||
Danish | random Walk (random walk theory), tilfældighedsteorien (random walk theory), tilfældig gang. (various references) | ||||||||||||||||||||||
Dutch | random walk (random walk theory), toevallige weg. (various references) | ||||||||||||||||||||||
Finnish | random walk-teoria (random walk theory), satunnaiskulku. (various references) | ||||||||||||||||||||||
French | trajet aléatoire, parcours aléatoire, marche au hasard (random walk theory), marche aléatoire, chemin aléatoire. (various references) | ||||||||||||||||||||||
German | Random Walk, Zufallsmarkt (random walk theory). (various references) | ||||||||||||||||||||||
Greek | στοχαστική κίνηση τιμών (random walk theory), τυχαίος περίπατος. (various references) | ||||||||||||||||||||||
Hungarian | rendszertelen mozgás, szabálytalan mozgás. (various references) | ||||||||||||||||||||||
Italian | passeggiata casuale, passeggiata aleatoria, ipotesi dei movimenti casuali (random walk theory). (various references) | ||||||||||||||||||||||
Pig Latin | andomray alkway teoria da não previsibilidade das cotações (random walk theory). (various references) recorrido aleatorio, paseo aleatorio (random walk theory), mercado aleatorio (random walk theory), mercado al azar (random walk theory), mercado a la deriva (random walk theory). (various references) randomwalktheory (random walk theory), randomwalkteori (random walk theory), random-walk (random walk theory). (various references) | ||||||||||||||||||||||
Scrabble® Enable2K-Verified Anagrams | |
| Words within the letters "a-a-d-k-l-m-n-o-r-w" | |
-2 letters: landmark, markdown. | |
-3 letters: armload, madrona, mandola, manward, monadal, monarda, workman. | |
-4 letters: almond, amoral, anodal, anorak, dolman, ladron, lardon, lawman, narwal, normal, onward, random, rodman, wadmal, wadmol. | |
-5 letters: adman, adorn, adown, alamo, aland, alarm, aroma, award, daman, damar, dolma, domal, drama, drank, drawl, drawn, drown, kalam, karma, koala, kraal, krona, loran, makar, malar, manor, modal. | |
| Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro. | |
Hexadecimal (or equivalents, 770AD-1900s) (references)52 41 4E 44 4F 4D 57 41 4C 4B |
| Leonardo da Vinci (1452-1519; backwards) (references)
|
Binary Code (1918-1938, probably earlier) (references)01010010 01000001 01001110 01000100 01001111 01001101 00100000 01010111 01000001 01001100 01001011 |
HTML Code (1990) (references)R A N D O M   W A L K |
ISO 10646 (1991-1993) (references)0052 0041 004E 0044 004F 004D 0057 0041 004C 004B |
Encryption (beginner's substitution cypher): (references)523548384947257354645 |
| 1. Crosswords 2. Usage: Commercial 3. Expressions 4. Expressions: Internet | 5. Translations: Modern 6. Anagrams 7. Orthography 8. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
