Results 61 to 70 of about 3,485,455 (148)
The probability of generating finite and profinite groups
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
wiley +1 more source
Some Remarks on Consistency and Strong Inconsistency of Bayesian Inference [PDF]
The paper provides new sufficient conditions for consistent and coherent Bayesian inference when a model is invariant under some group of transformations.
Kociecki, Andrzej
core
Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
wiley +1 more source
Quaternions, Haar Measure and the Estimation of a Palaeomagnetic Rotation
, 1975 Representing a rotation in three dimensions by a unit tensor quaternion and supposing that the errors in the measurements of a number of vector directions follow Fisher's distribution, the maximum likelihood estimator of a rotation is obtained.
P. A. P. Moran
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Metric invariance of Haar measure
, 1983 Let d d be a left invariant metric for a locally compact group G G . We prove that isometric subsets of ( G , d ) (G,d) have equal Haar measure.
Christoph Bandt
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Using the quantum probability ranking principle to rank interdependent documents [PDF]
, 2010 A known limitation of the Probability Ranking Principle (PRP) is that it does not cater for dependence between documents. Recently, the Quantum Probability Ranking Principle (QPRP) has been proposed, which implicitly captures dependencies between ...
Azzopardi, L. +5 more
core +3 more sources
Basic elements and problems of probability theory [PDF]
, 1999 After a brief review of ontic and epistemic descriptions, and of subjective, logical and statistical interpretations of probability, we summarize the traditional axiomatization of calculus of probability in terms of Boolean algebras and its set ...
Primas, Hans, Hans Primas
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On the existence of a Haar measure in topological IP-loops [PDF]
, 2011 summary:In this paper, we give conditions ensuring the existence of a Haar measure in topological IP ...
Markechová, Dagmar +2 more
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The characteristic polynomial on compact groups with Haar measure : some equalities in law
, 2007 This note presents some equalities in law for $Z_N:=\det(\Id-G)$, where $G$ is an element of a subgroup of the set of unitary matrices of size $N$, endowed with its unique probability Haar measure.
Bourgade, Paul +2 more
core +2 more sources
, 2015 Una de las más útiles propiedades de la medida de la integral de Lebesgue es su invarianza bajo traslaciones y rotaciones. Por ejemplo, si a ∈ R n , r ∈ R n×n y f es una función integrable Lebesgue en R n , entonces Z Rn f(x)dx = Z Rn f(rx + a)dx.
Leandro Velosa, Camila Andrea
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