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...onnect each pair of vertices by an edge, independently for each pair, with probability <math>p</math> of making a connection. A zero-one law is a theorem stating the probability of generating a graph with the property tends to zero or one in the limit a ...

...working in [[France]]. She specializes in [[geometric group theory]] and [[probability theory]], in particular, [[random walk]]s on groups.<ref name="ErschlerHome ...n drift and entropy growth for random walks on groups |journal=[[Annals of Probability]] |volume=31 |issue=3 |pages=1193–1204 |arxiv=math/0101070 |doi=10.1214/aop ...

...ics]]. She is known for her research in [[discrete geometry]], [[geometric probability]], and the theory of [[random graph]]s.{{r|fmi}} ...rs, she was considered to be one of the members of the Hungarian School of Probability.{{r|leading}} ...

...du/paperspdf/HarmonicEntropy.pdf}}</ref> has received attention from music theorists such as [[William Sethares]].<ref>Sethares, William (2005). ''[https://book ...b) normalize the sum of the areas to add to 1, such that each represents a probability ...

...k|title=On Random Generation of the Symmetric Group|journal=Combinatorics, Probability and Computing|volume=2|issue=4|pages=505–512|doi=10.1017/S0963548300000869| ...andom elements needed to generate a finite ''d''-generator group with high probability.<ref>{{Cite journal|last=Jaikin-Zapirain and Pyber|title=Random generation ...

...rst2=Ayça E. |title=The Impartial, Anonymous, and Neutral Culture Model: A Probability Model for Sampling Public Preference Structures |journal=The Journal of Mat ...tend to exaggerate the likelihood of observing paradoxes and find that the probability is small with such calculations, the paradox is assuredly very unlikely to ...

...t became a mathematics professor at Princeton University specializing in [[probability theory]],<ref name="WPObituary"/> [[Markov process]]es, and [[potential the *{{cite journal|title=An inequality in probability theory|journal=Proc. Amer. Math. Soc.|volume=6|year=1955|pages=506–510|doi= ...

...ience departments. From 1997 to 2007, Ben Arous was a professor of applied probability theory at the [[École Polytechnique Fédérale de Lausanne]], where he held t {{blockquote|Professor Ben Arous works on probability theory (stochastic analysis, large deviations, random media and random matr ...

...ced him to [[martingale (probability theory)|martingale]]s, an aspect of [[probability theory]].{{efn|''Quoted from Snell's Obituary of Joseph L. Doob'': A discre ...me=OJLD>J.L. Snell (2005) "Obituary: Joseph L. Doob", [[Journal of Applied Probability]] 42(1): 247–56 {{doi|10.1017/S002190020000019X}}</ref> Snell earned his Ph ...

[[Category:Dynamical systems theorists]] [[Category:Probability theorists]] ...

*Probability: The Classical Limit Theorems, Cambridge University Press, 2014 [[Category:American probability theorists]] ...

...action of an amenable group on a probability space | journal = [[Annals of Probability]] | volume = 3 | year = 1975 | issue = 6 | pages = 1031–1037 | doi = 10.121 ...ieffer|title= Asymptotically Mean Stationary Measures|journal= [[Annals of Probability]]|volume= 8|pages= 962–973|year= 1980|issue = 5|doi = 10.1214/aop/117699462 ...

...|lattices]] which exhibits localization, the confinement of the electrons' probability distributions within some small volume.<ref name="Anderson"> In 2019, theorists considered the behavior of a wavepacket not merely dropped, but actively la ...

...outcome <math>O_j</math> and <math>P(A > O_j)</math> is the counterfactual probability that, if <math>A</math> were done, then <math>O_j</math> would hold. ...ere a ''trivial probability function'' is one that "never assigns positive probability to more than two incompatible alternatives, and hence is at most four-value ...

* [[Probability]] ...29, 2019) was a Jewish American mathematician best known for his work in [[probability]], most notably on [[random walk]]s on [[Group (mathematics)|group]]s and [ ...

...l=http://people.richland.edu/james/lecture/m170/ch05-rul.html|title=Stats: Probability Rules|publisher=People.richland.edu|access-date=2012-05-08}}</ref> The notation for this last concept can vary considerably. [[Set theory|Set theorists]] will sometimes write "<math>\bigcap M</math>", while others will instead ...

...ams.org/books/conm/698/13980 |title=Dynamical Systems, Ergodic Theory, and Probability: in Memory of Kolya Chernov|volume=698|pages=221–238|series=Contemporary Ma [[Category:Dynamical systems theorists]] ...

...| doi = 10.1017/S0963548307008619 | issue = 2 | journal = [[Combinatorics, Probability and Computing]] | pages = 265–270 | title = A short proof of the Hajnal–Sze [[Category:Set theorists]] ...

...atician, who has made contributions to the fields of [[ergodic theory]], [[probability]] and [[analysis]]. ...tment for the [[representation theory]] of [[linear operators]] arising in probability, the process of disintegration of measures. Their [[Ergebnisse der Mathemat ...

...ite book|last1=Micchelli|first1=Charles A.|last2=Pinkus|first2=Allan|title=Probability, Statistics, and Mathematics |chapter=Some Remarks on Nonnegative Polynomia [[Category:Approximation theorists]] ...