Stochastic invertible mappings between power law and Gaussian probability distributions

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dc.creatorVignat, C.
dc.creatorPlastino, A.
dc.date2005-04-27
dc.date.accessioned2026-07-07T03:04:57Z
dc.date.available2026-07-07T03:04:57Z
dc.descriptionWe construct "stochastic mappings" between power law probability distributions (PD's) and Gaussian ones. To a given vector $N$, Gaussian distributed (respectively $Z$, exponentially distributed), one can associate a vector $X$, "power law distributed", by multiplying $X$ by a random scalar variable $a$, $N= a X$. This mapping is "invertible": one can go via multiplication by another random variable $b$ from $X$ to $N$ (resp. from $X$ to $Z$), i.e., $X=b N$ (resp. $X=b Z$). Note that all the above equalities mean "is distributed as". As an application of this stochastic mapping we revisit the so-called "zero-th law of thermodynamics problem" that bedevils the practitioners of nonextensive thermostatistics.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0504709
dc.identifierhttp://arxiv.org/abs/cond-mat/0504709
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26279
dc.subjectStatistical Mechanics
dc.titleStochastic invertible mappings between power law and Gaussian probability distributions
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