Xu, Pengbo ( 许鹏博 )
| Title： | Lecture |
|---|---|
| Department： | Applied Mathematics |
| Office： | Room 233, Stat Building |
| Telephone： | 54342646-633 |
| Email： | pbxu@math.ecnu.edu.cn |
Research Interest
AI for Science, and AI for PDE
Resume
Selected Publications
Recent Publications(From MathSciNet)
MR4516808
Reviewed
Zhou, Tian; Trajanovski, Pece; Xu, Pengbo; Deng, Weihua; Sandev, Trifce; Kocarev, Ljupco Generalized diffusion and random search processes.
J. Stat. Mech. Theory Exp. 2022, no. 9, Paper No. 093201, 30 pp. 82C41
Publication Year 2022
Indexed 2023-01-30
Review Published2023-03-24
MR4430818
Reviewed
Xu, Pengbo; Zhou, Tian; Metzler, Ralf; Deng, Weihua Stochastic harmonic trapping of a Lévy walk: transport and first-passage dynamics under soft resetting strategies.
New J. Phys. 24 (2022), March, Paper No. 033003, 28 pp. 60K50 (82C31)
Publication Year 2022
Indexed 2022-07-22
Review Published2022-07-29
MR4425944
Reviewed
Xu, Pengbo; Metzler, Ralf; Wang, Wanli Infinite density and relaxation for Lévy walks in an external potential: Hermite polynomial approach.
Phys. Rev. E 105 (2022), no. 4, Paper No. 044118, 15 pp. 60K50
Publication Year 2022
Indexed 2022-07-22
Review Published2022-07-29
MR4387411
Reviewed
Zhou, Tian; Xu, Pengbo; Deng, Weihua Lévy walk dynamics in an external constant force field in non-static media.
J. Stat. Phys. 187 (2022), no. 1, Paper No. 9, 29 pp. 60K50 (82C31)
Publication Year 2022
Indexed 2022-04-11
Review Published2022-04-15
MR4374469
Reviewed
Zhou, Tian; Xu, Pengbo; Deng, Weihua Lévy walk dynamics in non-static media.
J. Phys. A 55 (2022), no. 2, Paper No. 025001, 24 pp. 82C41 (60K37)
Publication Year 2022
Indexed 2022-03-23
Review Published2022-03-29
MR4349832
Indexed
Zhou, Tian; Xu, Pengbo; Deng, Weihua Gaussian process and Lévy walk under stochastic noninstantaneous resetting and stochastic rest.
Phys. Rev. E 104 (2021), no. 5, Paper No. 054124, 15 pp. 60G15
Publication Year 2021
Indexed 2022-02-11
MR4328511
Reviewed
Chen, Zhen-Qing; Deng, Weihua; Xu, Pengbo Feynman-Kac transform for anomalous processes.
SIAM J. Math. Anal. 53 (2021), no. 5, 6017–6047. 60K50 (26A33 35R11 60H30)
Publication Year 2021
Indexed 2021-12-01
Review Published2022-01-06
MR4248969
Reviewed
Zhou, Tian; Xu, Pengbo; Deng, Weihua Lévy walk dynamics in mixed potentials from the perspective of random walk theory.
Phys. Rev. E 103 (2021), no. 3, Paper No. 032151, 13 pp. 60G50 (60G51 82C41)
Publication Year 2021
Indexed 2021-07-15
Review Published2021-07-22
MR4316253
Reviewed
Deng, Weihua; Hou, Ru; Wang, Wanli; Xu, Pengbo Modeling anomalous diffusion—from statistics to mathematics.
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, [2020], ©2020. xi+254 pp. ISBN: 978-981-121-299-4 60-02 (35R11 44A10 60G51 60K05 60K50 82C31)
Publication Year 2020
Review Published2023-07-20
MR4120708
Reviewed
Xu, Pengbo; Zhou, Tian; Metzler, Ralf; Deng, Weihua Lévy walk dynamics in an external harmonic potential.
Phys. Rev. E 101 (2020), no. 6, 062127, 12 pp. 82C41 (60G51)
Publication Year 2020
Indexed 2020-09-18
Review Published2020-11-22
MR4075797
Reviewed
Xu, Pengbo; Deng, Weihua; Sandev, Trifce Lévy walk with parameter dependent velocity: Hermite polynomial approach and numerical simulation.
J. Phys. A 53 (2020), no. 11, 115002, 26 pp. 60G51 (60K50 82C31)
Publication Year 2020
Indexed 2021-02-18
Review Published2021-03-09
MR3880996
Reviewed
Xu, Pengbo; Deng, Weihua Lévy walk with multiple internal states.
J. Stat. Phys. 173 (2018), no. 6, 1598–1613. 82C41
Publication Year 2018
Indexed 2019-01-29
Review Published2019-10-01
MR3862458
Reviewed
Sandev, Trifce; Deng, Weihua; Xu, Pengbo Models for characterizing the transition among anomalous diffusions with different diffusion exponents.
J. Phys. A 51 (2018), no. 40, 405002, 22 pp. 60J60 (60G22 60G50 82C41)
Publication Year 2018
Indexed 2018-12-18
Review Published2019-08-22
MR3789860
Reviewed
Xu, Pengbo; Deng, Weihua Fractional compound Poisson processes with multiple internal states.
Math. Model. Nat. Phenom. 13 (2018), no. 1, Paper No. 10, 22 pp. 82C31 (35Q84 35R11)
Publication Year 2018
Indexed 2018-06-19
Review Published2018-06-28
Copyright 2018 All rights reserved School of Mathematical Sciences, East China Normal University