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Dr Panqiu Xia
(e/fe)
- Ar gael fel goruchwyliwr ôl-raddedig
Timau a rolau for Panqiu Xia
Trosolwg
Rwy'n ddarlithydd yn y grŵp ymchwil ystadegau ers Hydref 2024.
Yn flaenorol, roeddwn yn ôl-ddoethurol ym Mhrifysgol Auburn (UDA), o dan arweiniad Dr. Le Chen, o Hydref 2022 i Haf 2024. Cyn hynny, rhwng Hydref 2020 a Haf 2022, gweithiais fel ôl-ddoethurol yn y grŵp bioleg fathemategol dan arweiniad yr Athro Carsten Wiuf ym Mhrifysgol Copenhagen (Denmarc), ar ôl cwblhau fy Ph.D. yn 2020, a oruchwyliwyd ar y cyd gan yr Athro Yaozhong Hu a'r Athro David Nualart ym Mhrifysgol Kansas (UDA) yn 2020.
Mae fy niddordebau ymchwil yn cynnwys tebygolrwydd damcaniaethol a chymhwysol, yn benodol yn y meysydd canlynol
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Calcwlws Malliavin
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Hafaliadau differol rhannol S tochastig
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Dull Stein
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Rhwydweithiau adwaith cemegol
Cyhoeddiad
2026
- Xia, P. and Zheng, J. 2026. Discrete Feynman-Kac approximation for parabolic Anderson model using random walks. Bernoulli 32 (4), pp.2711-2740. (10.3150/25-BEJ1963)
- Chen, L. and Xia, P. 2026. Asymptotic properties of stochastic partial differential equations in the sublinear regime. The Annals of Probability 54 (4), pp.1686-1714. (10.1214/24-AOP1741)
- Faul, L. , Hoessly, L. and Xia, P. 2026. Identifiability of SDEs for reaction networks. European Journal of Applied Mathematics (10.1017/S0956792526100382)
- Chen, L. et al., 2026. On ergodic properties of stochastic PDEs. Stochastics and Partial Differential Equations: Analysis and Computations 14 , pp.189-233. (10.1007/s40072-025-00365-0)
2025
- Hoessly, L. , Wiuf, C. and Xia, P. 2025. Asymptotic analysis for stationary distributions of multiscaled reaction networks. Advances in Applied Probability (10.1017/apr.2025.10040)
- Hoessly, L. , Wiuf, C. and Xia, P. 2025. Reaction cleaving and complex-balanced distributions for chemical reaction networks with general kinetics. Peer Community Journal 5 e87. (10.24072/pcjournal.614)
- Balan, R. M. et al., 2025. Gaussian fluctuations for the wave equation under rough random perturbations. Stochastic Processes and their Applications 182 104569. (10.1016/j.spa.2025.104569)
- Xia, P. and Zheng, G. 2025. Almost sure central limit theorems for parabolic/hyperbolic Anderson models with Gaussian colored noises. Journal of Theoretical Probability 38 46. (10.1007/s10959-025-01412-1)
- Balan, R. , Xia, P. and Zheng, G. 2025. Almost sure central limit theorem for the hyperbolic Anderson model with Lévy white noise. Proceedings of the American Mathematical Society 153 , pp.3083-3098. (10.1090/proc/17204)
2024
- Hu, Y. , Wang, X. and Xia, P. 2024. Moment asymptotics for super-Brownian motions. Bernoulli 30 (4), pp.3119 - 3136. (10.3150/23-BEJ1708)
- Chen, L. et al., 2024. On the radius of self-repellent fractional Brownian motion. Journal of Statistical Physics 191 19. (10.1007/s10955-023-03227-y)
2023
- Hu, Y. et al., 2023. On mean-field super-Brownian motions. The Annals of Applied Probability 33 (5), pp.3872-3915. (10.1214/22-AAP1909)
- Hoessly, L. , Wiuf, C. and Xia, P. 2023. On the sum of chemical reactions. European Journal of Applied Mathematics 34 (2), pp.303-325. (10.1017/S0956792522000146)
2022
- Nualart, D. , Xia, P. and Zheng, G. 2022. Quantitative central limit theorems for the parabolic Anderson model driven by colored noises. Electronic Journal of Probability 27 , pp.1-43. (10.1214/22-ejp847)
2020
- Ma, N. , Nualart, D. and Xia, P. 2020. Intermittency for the parabolic Anderson model of Skorohod type driven by a rough noise. Electronic Communications in Probability 25 , pp.1-10. 48. (10.1214/20-ecp327)
- Nualart, D. and Xia, P. 2020. On nonlinear rough paths. ALEA : Latin American Journal of Probability and Mathematical Statistics 17 (1), pp.545-587. (10.30757/alea.v17-22)
2019
- Hu, Y. , Nualart, D. and Xia, P. 2019. Hölder continuity of the solutions to a class of SPDE’s arising from branching particle systems in a random environment. Electronic Journal of Probability 24 , pp.1-52. 105. (10.1214/19-ejp357)
Erthyglau
- Xia, P. and Zheng, J. 2026. Discrete Feynman-Kac approximation for parabolic Anderson model using random walks. Bernoulli 32 (4), pp.2711-2740. (10.3150/25-BEJ1963)
- Chen, L. and Xia, P. 2026. Asymptotic properties of stochastic partial differential equations in the sublinear regime. The Annals of Probability 54 (4), pp.1686-1714. (10.1214/24-AOP1741)
- Faul, L. , Hoessly, L. and Xia, P. 2026. Identifiability of SDEs for reaction networks. European Journal of Applied Mathematics (10.1017/S0956792526100382)
- Chen, L. et al., 2026. On ergodic properties of stochastic PDEs. Stochastics and Partial Differential Equations: Analysis and Computations 14 , pp.189-233. (10.1007/s40072-025-00365-0)
- Hoessly, L. , Wiuf, C. and Xia, P. 2025. Asymptotic analysis for stationary distributions of multiscaled reaction networks. Advances in Applied Probability (10.1017/apr.2025.10040)
- Hoessly, L. , Wiuf, C. and Xia, P. 2025. Reaction cleaving and complex-balanced distributions for chemical reaction networks with general kinetics. Peer Community Journal 5 e87. (10.24072/pcjournal.614)
- Balan, R. M. et al., 2025. Gaussian fluctuations for the wave equation under rough random perturbations. Stochastic Processes and their Applications 182 104569. (10.1016/j.spa.2025.104569)
- Xia, P. and Zheng, G. 2025. Almost sure central limit theorems for parabolic/hyperbolic Anderson models with Gaussian colored noises. Journal of Theoretical Probability 38 46. (10.1007/s10959-025-01412-1)
- Balan, R. , Xia, P. and Zheng, G. 2025. Almost sure central limit theorem for the hyperbolic Anderson model with Lévy white noise. Proceedings of the American Mathematical Society 153 , pp.3083-3098. (10.1090/proc/17204)
- Hu, Y. , Wang, X. and Xia, P. 2024. Moment asymptotics for super-Brownian motions. Bernoulli 30 (4), pp.3119 - 3136. (10.3150/23-BEJ1708)
- Chen, L. et al., 2024. On the radius of self-repellent fractional Brownian motion. Journal of Statistical Physics 191 19. (10.1007/s10955-023-03227-y)
- Hu, Y. et al., 2023. On mean-field super-Brownian motions. The Annals of Applied Probability 33 (5), pp.3872-3915. (10.1214/22-AAP1909)
- Hoessly, L. , Wiuf, C. and Xia, P. 2023. On the sum of chemical reactions. European Journal of Applied Mathematics 34 (2), pp.303-325. (10.1017/S0956792522000146)
- Nualart, D. , Xia, P. and Zheng, G. 2022. Quantitative central limit theorems for the parabolic Anderson model driven by colored noises. Electronic Journal of Probability 27 , pp.1-43. (10.1214/22-ejp847)
- Ma, N. , Nualart, D. and Xia, P. 2020. Intermittency for the parabolic Anderson model of Skorohod type driven by a rough noise. Electronic Communications in Probability 25 , pp.1-10. 48. (10.1214/20-ecp327)
- Nualart, D. and Xia, P. 2020. On nonlinear rough paths. ALEA : Latin American Journal of Probability and Mathematical Statistics 17 (1), pp.545-587. (10.30757/alea.v17-22)
- Hu, Y. , Nualart, D. and Xia, P. 2019. Hölder continuity of the solutions to a class of SPDE’s arising from branching particle systems in a random environment. Electronic Journal of Probability 24 , pp.1-52. 105. (10.1214/19-ejp357)
Ymchwil
Mae fy niddordebau ymchwil yn cynnwys tebygolrwydd damcaniaethol a chymhwysol, gyda ffocws penodol ar ddau faes cymhellol: hafaliadau differol rhannol stocastig (SPDEs), a theori rhwydweithiau adwaith cemegol (CRNs).
- Mae theori SPDEs yn uno hafaliadau differol rhannol glasurol (PDEs) gydag amrywiadau ar hap (stochastig). Mae'r hafaliadau hyn yn chwarae rhan ganolog fel modelau stochastig ar draws meysydd gwyddonol amrywiol, gan gynnwys niwroffisioleg, gwyddoniaeth amgylcheddol, ymlediad adwaith cemegol, systemau gronynnau anfeidrol, a mecaneg ystadegol.
Mae dau hafaliad yr wyf yn canolbwyntio arnynt yn cynnwys:
- Y model parabolig Anderson (PAM), a gyflwynwyd yn wreiddiol gan y ffisegydd Philip Anderson yn y 1960au ar y casgliad o electronau mewn crisialau ag amhureddau.
- Y cynnig Super Brownian (sBm, aka. Uwchbroses Dawson-Watanabe), terfyn hydrodynamig dilyniant o systemau gronynnau canghennog, sy'n cynnwys cyfernod trylediad nad yw'n Lipschitz.
Ar gyfer yr hafaliadau hyn, mae gen i ddiddordeb mewn priodweddau eu datrysiadau, megis bodolaeth ac unigrywedd, priodweddau ennyd, ymddygiad tymor hir, cyfartaledd gofodol, ac ati.
- Mae theori CRNs yn offeryn pwerus ar gyfer modelu dynameg cymhleth systemau cemegol y byd go iawn (bio). Yn wreiddiol ar ddechrau'r 20fed ganrif, roedd yn cynnwys cemegwyr a ffisegwyr yn astudio adweithiau ar y pryd o fewn system gaeedig. Dros yr hanner canrif diwethaf, mae'r ddamcaniaeth hon wedi esblygu i fod yn faes mathemategol penodol, offer benthyca o theori graff, systemau deinamig, geometreg algebraidd, damcaniaeth tebygolrwydd, a chyfrifiadureg. Mae fy ymchwil yn y maes hwn yn canolbwyntio ar lunio dosbarthiad sefydlog CRNs wedi'u modelu'n stochastaidd.
Cyfeiriwch at fy nhudalen Google Scholar am restr gyflawn o fy nghyhoeddiadau.
Addysgu
Cyrsiau presennol.
Cyrsiau blaenorol.
Prifysgol Auburn
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STAT 3010: Ystadegau ar gyfer Peirianwyr a Gwyddonwyr (gan ddefnyddio R)
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MATH 1680: Calculus gyda cheisiadau busnes I.
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STAT 2510: Ystadegau ar gyfer Gwyddorau Biolegol ac Iechyd (gan ddefnyddio R).
Prifysgol Copenhagen
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Prosiect mewn Ystadegau.
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Dadansoddiad stocastig.
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modelau graffigol.
Prifysgol Kansas
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MATH 125: Calculus Peirianneg I
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ATH 115: Calculus Busnes I
Prifysgol Macau
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MATH 110: Calculus I
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MATH 207: Dadansoddiad rhifiadol (gan ddefnyddio Matlab).
Bywgraffiad
Swyddi blaenorol
- 2022--2024 Postdoc - Prifysgol Auburn, Auburn, UDA.
- 2020--2022 Postdoc - Prifysgol Copenhagen, Copenhagen, Denmarc.
Addysg
- 2020 PhD - Prifysgol Kansas, Lawrence, UDA.
- 2014 MSc - Prifysgol Macau, Macau, Tsieina.
- 2011 BSc - Prifysgol Wuhan, Wuhan, Tsieina.
Meysydd goruchwyliaeth
Theori tebygolrwydd, prosesau stocastig, dadansoddiad stocastig
Contact Details
Themâu ymchwil
Arbenigeddau
- Damcaniaeth tebygolrwydd