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19. Analysis of the Effect of the 06-09-2017 Solar Flare on GNSS Signal and Positioning Performance

Author

Zhou, Wei, Gu, Shegnfeng, Ge, Maorong, Wang, Jungang, Angrisani, Leopoldo, Series Editor, Arteaga, Marco, Series Editor, Panigrahi, Bijaya Ketan, Series Editor, Chakraborty, Samarjit, Series Editor, Chen, Jiming, Series Editor, Chen, Shanben, Series Editor, Chen, Tan Kay, Series Editor, Dillmann, Ruediger, Series Editor, Duan, Haibin, Series Editor, Ferrari, Gianluigi, Series Editor, Ferre, Manuel, Series Editor, Hirche, Sandra, Series Editor, Jabbari, Faryar, Series Editor, Jia, Limin, Series Editor, Kacprzyk, Janusz, Series Editor, Khamis, Alaa, Series Editor, Kroeger, Torsten, Series Editor, Liang, Qilian, Series Editor, Ming, Tan Cher, Series Editor, Minker, Wolfgang, Series Editor, Misra, Pradeep, Series Editor, Möller, Sebastian, Series Editor, Mukhopadhyay, Subhas, Series Editor, Ning, Cun-Zheng, Series Editor, Nishida, Toyoaki, Series Editor, Pascucci, Federica, Series Editor, Qin, Yong, Series Editor, Seng, Gan Woon, Series Editor, Veiga, Germano, Series Editor, Wu, Haitao, Series Editor, Zhang, Junjie James, Series Editor, Sun, Jiadong, editor, Yang, Changfeng, editor, and Guo, Shuren, editor

Published
2018
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22. On Two Classes of Closely Related Monomial Ideals

Author

Ge, Maorong, Lin, Jiayuan, and Wang, Yulan

Subjects
Mathematics - Commutative Algebra, Mathematics - Combinatorics, 16W50, 13D40, 13F20, 13A02
Abstract

In [7] we obtained a formula for the Hilbert depth of squarefree Veronese ideals in a standard graded polynomial ring by relating it to the Hilbert depth of powers of the irrelevant maximal ideal. In this paper, we prove that these two Hilbert depth formulas are equivalent to each other. Our result reveals that there is a strong connection between these two classes of seemingly unrelated monomial ideals. We conjecture that their Stanley depths are equivalent as well., Comment: 7 pages

Published
2011

23. A Short Note on the Thom-Boardman Symbols of Differentiable Maps

Author

Wang, Yulan, Lin, Jiayuan, and Ge, Maorong

Subjects
Mathematics - Commutative Algebra, Mathematics - Algebraic Geometry, 14H20, 32S05, 58K40, 14B05
Abstract

It is well known that Thom-Boardman symbols are realized by non-increasing sequences of nonnegative integers. A natural question is whether the converse is also true. In this paper we answer this question affirmatively, that is, for any non-increasing sequence of nonnegative integers, there is a map-germ with the prescribed sequence as its Thom-Boardman symbol., Comment: 5 pages, no figures

Published
2011

24. Hilbert series and Hilbert depth of squarefree Veronese ideals

Author

Ge, Maorong, Lin, Jiayuan, and Wang, Yulan

Subjects
Mathematics - Commutative Algebra, Mathematics - Combinatorics
Abstract

In this paper, we obtain explicit formulas for the Hilbert series and Hilbert depth of squarefree Veronese ideals in a standard graded polynomial ring., Comment: 7 pages, a gap in the previous version is fixed

Published
2010

25. On a conjecture of Stanley depth of squarefree Veronese ideals

Author

Ge, Maorong, Lin, Jiayuan, and Shen, Yi-Huang

Subjects
Mathematics - Commutative Algebra, Mathematics - Combinatorics, 06A07, 05E40, 13C13
Abstract

In this paper, we partially confirm a conjecture, proposed by Cimpoea\c{s}, Keller, Shen, Streib and Young, on the Stanley depth of squarefree Veronese ideals $I_{n,d}$. This conjecture suggests that, for positive integers $1 \le d \le n$, $\sdepth (I_{n,d})= \lfloor \binom{n}{d+1}/\binom{n}{d} \rfloor+d$. Herzog, Vladoiu and Zheng established a connection between the Stanley depths of quotients of monomial ideals and interval partitions of certain associated posets. Based on this connection, Keller, Shen, Streib and Young recently developed a useful combinatorial tool to analyze the interval partitions of the posets associated with the squarefree Veronese ideals. We modify their ideas and prove that if $1 \le d \le n \le (d+1) \lfloor \frac{1+\sqrt{5+4d}}{2}\rfloor+2d$, then $\sdepth (I_{n,d})= \lfloor \binom{n}{d+1}/\binom{n}{d} \rfloor+d$. We also obtain $ \lfloor \frac{d+\sqrt{d^2+4(n+1)}}{2} \rfloor \le \sdepth(I_{n,d}) \le \lfloor \binom{n}{d+1}/\binom{n}{d} \rfloor+d$ for $n > (d+1) \lfloor \frac{1+\sqrt{5+4d}}{2}\rfloor+2d$. As a byproduct of our construction, We give an alternative proof of Theorem $1.1 $ in $[13]$ without graph theory., Comment: 11 pages; Theorem 1.2 has been changed due to a gap in the previous version

Published
2009

50. Real-time monitoring surface deformation in Indonesia

Author

Rahmawan, Yan Anugrah, Pramono, Gatot Haryo, Syafii, Mohamad Arief, Jiang, Xinyuan, and Ge, Maorong

Abstract

Real-time monitoring of earthquake-triggered surface deformation is becoming required to characterize the effect of an earthquake, either transient or permanent deformation. Indonesia as a country located in the active deformation region, through Geospatial Information Agency (BIG) has built 397 Real-Time Global Navigation Satellite Systems (RT-GNSS) stations that can be used to observe this phenomenon. The availability of RT-GNSS stations motivates us to provide real-time surface deformation information using the appropriate RT-GNSS processing method. We implement Precise Point Positioning with Regional Augmentation correction (PPP-RA) for stations if there are sufficient regional corrections, and Precise Point Positioning with Ambiguity Resolution (PPP-AR) otherwise. The result shows from Kota Fajar station in Sumatera Island (CKTF), the accuracy can be achieved at ± 1.4 cm, ± 1.8 cm, and ± 6.5 cm for the North, East, and Up components, respectively. we use the earthquake location information produced by Indonesia Tsunami Early Warning System (InaTEWS) operated by the Meteorological, Climatological, and Geophysical Agency (BMKG) to automatically collect the nearby stations from the epicenter. Then, we compute the displacement from each of its stations every second when the earthquake occurred. As a result, we can detect the transient deformation of the Banda Sea earthquake 7.6 Mw at depth of 108 km on January 9, 2023, with a maximum dynamic displacement at the nearest station to the source is 6.6 cm in the North-South direction and 8.7 cm in the East-West direction. This result suggests that this system is effective in displacement detection due to earthquakes., The 28th IUGG General Assembly (IUGG2023) (Berlin 2023)

Published
2023

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