Browsing by Author Le, Xuan Son

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 ArticleThe choquet weak topology on the space of probability capacities Rd*Authors: Le, Xuan Son (2003)It is shown that the space of probability capacities in Rd eqiupped with the Choquet weak topology is separable and metrixable, and contains Rd topologically. ArticleThe extreme value of local dimension of convolution of the cantor measureAuthors: Vu, Thi Hong Thanh; Nguyen, Quang Quynh; Le, Xuan Son (2009)Let $\mu$ be the $m-$fold convolution of the standard Cantor measure and $\underline{\alpha}_m$ be the lower extreme value of the local dimension of the measure $\mu$. The values of $\underline{\alpha}_m$ for $m=2,3,4$ were showed in [4] and [5]. In this paper, we show that $$\underline{\alpha}_5=|\frac{\log \big[\frac{2}{3.2^5}\big(\sqrt{145}\cos(\frac{\arccos\frac{427}{59\sqrt{145}}}{3})+5\big)\big]}{\log 3}|\approx 0.972638.$$ This values was estimated by P. Shmerkin in [5], but it has not been proved. ArticleOn the Hahn - Decomposition and the Radon - Nikodym Theorem for Submeasures in RdAuthors: Le, Xuan Son; Nguyen, Thi Tu Ngoc (2004)In this note we characterize the pairs of submeasures in R d possessing a certain Hahn - decomposition property and prove the sufficient condition of the Radon - Nikodyrn Theorem for submcasures in 1R^ having the stable propcĩty (SP). ArticleOn weak convergence in the space of probability capcacities in Rd*Authors: Nguyen, Nhuy; Le, Xuan Son (2003)In this paper we are going to extend the weak convergence in the space probality measures to the one in the space of probality capacities and investigate the relation in weak convergence between probality capacities and their associated probality measures. ArticlePreliminary Data on Species Composition and Distribution of the Scolopendromorph Centipedes (Chilopoda: Scolopendromorpha) in Kon Ka Kinh National Park and Kon Chu Rang Nature Reserve, Gia Lai Province)Authors: Le, Xuan Son; Vu, Thi Ha (2018)Study on species composition of Scolopendromorpha in Kon Ka Kinh National Park (NP) and Kon Chu Rang Nature Reserve (NR), Gia Lai province was conducted during 2017 - 2018, inrainy (May, June) and dry season (November, December). A total of twelve species of 3 genera and 2 families were found. Of them, for the first time, species (Otostigmus striolatus Verhoeff, 1937) has been recorded for Vietnam and other six species for the studied area, including Cryptops tahitianus, Otostigmus (O.)amballae, O. reservatus, O. astenus, O. reservatus, Scolopendra subspinipes. The Scolopendridae Pocock, 1895 was dominant with 11 species; and Cryptopidae Kohlarausch, 1881 had o...

Browsing by Author Le, Xuan Son

Jump to: 0-9 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
or enter first few letters:
Showing results 1 to 5 of 5
 ArticleThe choquet weak topology on the space of probability capacities Rd*Authors: Le, Xuan Son (2003)It is shown that the space of probability capacities in Rd eqiupped with the Choquet weak topology is separable and metrixable, and contains Rd topologically. ArticleThe extreme value of local dimension of convolution of the cantor measureAuthors: Vu, Thi Hong Thanh; Nguyen, Quang Quynh; Le, Xuan Son (2009)Let $\mu$ be the $m-$fold convolution of the standard Cantor measure and $\underline{\alpha}_m$ be the lower extreme value of the local dimension of the measure $\mu$. The values of $\underline{\alpha}_m$ for $m=2,3,4$ were showed in [4] and [5]. In this paper, we show that $$\underline{\alpha}_5=|\frac{\log \big[\frac{2}{3.2^5}\big(\sqrt{145}\cos(\frac{\arccos\frac{427}{59\sqrt{145}}}{3})+5\big)\big]}{\log 3}|\approx 0.972638.$$ This values was estimated by P. Shmerkin in [5], but it has not been proved. ArticleOn the Hahn - Decomposition and the Radon - Nikodym Theorem for Submeasures in RdAuthors: Le, Xuan Son; Nguyen, Thi Tu Ngoc (2004)In this note we characterize the pairs of submeasures in R d possessing a certain Hahn - decomposition property and prove the sufficient condition of the Radon - Nikodyrn Theorem for submcasures in 1R^ having the stable propcĩty (SP). ArticleOn weak convergence in the space of probability capcacities in Rd*Authors: Nguyen, Nhuy; Le, Xuan Son (2003)In this paper we are going to extend the weak convergence in the space probality measures to the one in the space of probality capacities and investigate the relation in weak convergence between probality capacities and their associated probality measures. ArticlePreliminary Data on Species Composition and Distribution of the Scolopendromorph Centipedes (Chilopoda: Scolopendromorpha) in Kon Ka Kinh National Park and Kon Chu Rang Nature Reserve, Gia Lai Province)Authors: Le, Xuan Son; Vu, Thi Ha (2018)Study on species composition of Scolopendromorpha in Kon Ka Kinh National Park (NP) and Kon Chu Rang Nature Reserve (NR), Gia Lai province was conducted during 2017 - 2018, inrainy (May, June) and dry season (November, December). A total of twelve species of 3 genera and 2 families were found. Of them, for the first time, species (Otostigmus striolatus Verhoeff, 1937) has been recorded for Vietnam and other six species for the studied area, including Cryptops tahitianus, Otostigmus (O.)amballae, O. reservatus, O. astenus, O. reservatus, Scolopendra subspinipes. The Scolopendridae Pocock, 1895 was dominant with 11 species; and Cryptopidae Kohlarausch, 1881 had o...