Maximum of a fractional Brownian motion: probabilities of small values

GM Molchan - Communications in mathematical physics, 1999 - Springer
Let b γ (t), b γ (0)= 0 be a fractional Brownian motion, ie, a Gaussian process with the structure
function E|b γ (t) - b γ (s)| 2 = |t - s| γ , 0 < γ < 2. We study the logarithmic asymptotics of P T …

Permissible Scope of Texas Automobile Inventory Searches in the Aftermath of Colorado v. Bertine: A Talisman Is Created

GS Reamey, MH Bassett, JA Molchan - Tex. Tech L. Rev., 1987 - HeinOnline
… Kelley, 677 SW2d at 39 (Miller, J., dissenting) ("For my part, I cannot condone the
majority's holdng and certainly cannot reconcile it with Gill"); Stephen, 677 SW2d at 46 (Teague …

Scaling exponents and multifractal dimensions for independent random cascades

GM Molchan - Communications in Mathematical Physics, 1996 - Springer
… If the sequence of #n weakly converges as to a non-trivial measure #, ie, #(dt)+dt and Ela(J)= …
We shall also use the notation J~(JK) if the limit in (5) is taken on some subsequence Y of Z…

Earthquake prediction as a decision-making problem

GM Molchan - Pure and Applied Geophysics, 1997 - Springer
In this review we consider an interdisciplinary problem of earthquake prediction involving
economics. This joint research aids in understanding the prediction problem as a whole and …

Subregional neuroanatomical change as a biomarker for Alzheimer's disease

…, PJ Snyder, S Molchan, J Kaye… - Proceedings of the …, 2009 - National Acad Sciences
Regions of the temporal and parietal lobes are particularly damaged in Alzheimer's disease
(AD), and this leads to a predictable pattern of brain atrophy. In vivo quantification of …

Strategies in strong earthquake prediction

GM Molchan - Physics of the Earth and Planetary Interiors, 1990 - Elsevier
… Deviations of J from unity reflect on average the tendency of a … distribution with the same
average and value of J. of occurrence of an event on segments G for It is possible for J = 1/3. We …

A commonly carried allele of the obesity-related FTO gene is associated with reduced brain volume in the healthy elderly

…, PJ Snyder, S Molchan, J Kaye… - Proceedings of the …, 2010 - National Acad Sciences
A recently identified variant within the fat mass and obesity-associated (FTO) gene is carried
by 46% of Western Europeans and is associated with an ~1.2 kg higher weight, on average, …

CeO2-filled sol–gel coatings for corrosion protection of AA2024-T3 aluminium alloy

…, M Wittmar, M Veith, GE Thompson, IS Molchan… - Corrosion …, 2009 - Elsevier
Hybrid organic–inorganic sol–gel-matrices, with up to 20wt.% incorporated ceria nanoparticles,
have been employed as coatings for an AA2024-T3 aluminium alloy. The morphology of …

Apolipoprotein E (APOE) genotype has dissociable effects on memory and attentional–executive network function in Alzheimer's disease

…, MA Mintun, J Mintzer, S Molchan… - Proceedings of the …, 2010 - National Acad Sciences
The ε4 allele of the apolipoprotein E (APOE) gene is the major genetic risk factor for
Alzheimer’s disease (AD), but limited work has suggested that APOE genotype may modulate …

Genome-wide scan of healthy human connectome discovers SPON1 gene variant influencing dementia severity

…, S Molchan, J Kaye, J Quinn… - Proceedings of the …, 2013 - National Acad Sciences
Aberrant connectivity is implicated in many neurological and psychiatric disorders, including
Alzheimer’s disease and schizophrenia. However, other than a few disease-associated …