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Assessment of the Relative Largest Earthquake Hazard Level in the NW Himalaya and its Adjacent Region

Tsapanos T. M., Yadav R. B. S., Olasoglou E. M., Singh M.

Acta Geophysica

2016

Vol. 64, no. 2

362--378

In the present study, the level of the largest earthquake hazard is assessed in 28 seismic zones of the NW Himalaya and its vicinity, which is a highly seismically active region of the world. Gumbel’s third asymptotic distribution (hereafter as GIII) is adopted for the evaluation of the largest earthquake magnitudes in these seismic zones. Instead of taking in account any type of Mmax, in the present study we consider the ω value which is the largest earthquake magnitude that a region can experience according to the GIII statistics. A function of the form Θ(ω, RP6.0) is providing in this way a relatively largest earthquake hazard scale defined by the letter K (K index). The return periods for the ω values (earthquake magnitudes) 6 or larger (RP6.0) are also calculated. According to this index, the investigated seismic zones are classified into five groups and it is shown that seismic zones 3 (Quetta of Pakistan), 11 (Hindukush), 15 (northern Pamirs), and 23 (Kangra, Himachal Pradesh of India) correspond to a “very high” K index which is 6.

Fat P-sets in the Space ω∗

Frankiewicz R., Grzech M., Zbierski P.

Bulletin of the Polish Academy of Sciences. Mathematics

2005

Vol. 53, no 2

121-129

We prove that—consistently—in the space ω∗ there are no P-sets with the c-cc and any two fat P-sets with the c+ -cc are coabsolute.

Metrizable weak barrelledness and dimension

Saxon S., Sanchez Ruiz L.

Bulletin of the Polish Academy of Sciences. Mathematics

2001

Vol. 49, no 2

97-101

The least infinite-dimensionality for Frechet spaces is c (Mazur), for metrizable barrelled spaces, b (Saxon and Sanchez Ruiz, 1996). For metrizable spaces with the yet weaker inductive property, it is the dimension Aleph[1] of the space chi spanned by any Aleph[1] scalar sequences of the form [(1, x, x^2, x^3, . . .)]. (A locally convex space is inductive if it is the inductive limit of each increasing covering sequence of subspaces). Indeed, chi is a non-barrelled subspace of the Frechet space omega, where the fundamental theorem of algebra at once proves density, dimension and inductivity. Moreover, if each |x| < 1, geometric series then put chi inside the Banach space [l^1], where the identity principle similarly proves the normable case.