數(shù)學(xué)與統(tǒng)計(jì)學(xué)院

閆理坦教授



男、博士生導(dǎo)師、理學(xué)博士;19618月生,黑龍江省牡丹江市人;19799月—19837月黑龍江大學(xué)數(shù)學(xué)系本科畢業(yè);19961月—20023月受日本政府獎(jiǎng)學(xué)金資助在日本國(guó)立富山大學(xué)(Toyama University)留學(xué),獲理學(xué)博士學(xué)位,師從N. Kazamaki教授與K. Kobayashi教授, 2002年回國(guó),受聘于東華大學(xué)理學(xué)院數(shù)學(xué)系,專業(yè)是概率論,研究方向是隨機(jī)分析及其應(yīng)用,發(fā)表論文160多篇,SCI收錄130多篇。

 


研究方向:

隨機(jī)分析及其應(yīng)用主要側(cè)重于

分?jǐn)?shù)Brown運(yùn)動(dòng)以及一般Gaussian過(guò)程的隨機(jī)分析、Levy過(guò)程及相關(guān)分析

G-Brown運(yùn)動(dòng)的隨機(jī)分析

隨機(jī)(偏、泛函)微分方程

數(shù)學(xué)金融與風(fēng)險(xiǎn)分析

過(guò)程統(tǒng)計(jì)

 

榮譽(yù)及獲獎(jiǎng)情況:

1、  2005年或香港桑麻獎(jiǎng)

 

近年來(lái)承擔(dān)的主要科研項(xiàng)目:

1、  (主持)國(guó)家自然科學(xué)基金面上項(xiàng)目(No. 11971101):分?jǐn)?shù)布朗運(yùn)動(dòng)驅(qū)動(dòng)的隨機(jī)方程的漸近行為及相關(guān)問(wèn)題(2020、01、01  2023、12、31

2、  (主持)國(guó)家自然科學(xué)基金面上項(xiàng)目(No. 11571071):分?jǐn)?shù)布朗運(yùn)動(dòng)的一些積分泛函及相關(guān)問(wèn)題(2016、01、01  201912、31

3、  (主持)國(guó)家自然科學(xué)基金面上項(xiàng)目(No. 11171062):分?jǐn)?shù)G-布朗運(yùn)動(dòng)的分析及其相關(guān)問(wèn)題(2012、01、01  2015、1231);

4、  (主持)國(guó)家自然科學(xué)基金面上項(xiàng)目(No. 10871041):自相似高斯過(guò)程的分析及其相關(guān)問(wèn)題(2009、01、01  201112、31

5、  (主持)國(guó)家自然科學(xué)基金面上項(xiàng)目(No. 10571025):分?jǐn)?shù)布朗運(yùn)動(dòng)的隨機(jī)分析及其金融應(yīng)用(2006、0101  2008、12、31

6、  (主持)教育部重點(diǎn)項(xiàng)目(No. 106076)Levy與分?jǐn)?shù)布朗運(yùn)動(dòng)過(guò)程的隨機(jī)分析及其金融應(yīng)用(2006、0101  2008、12、31);

7、  (主持)上海市教委科技創(chuàng)新重點(diǎn)項(xiàng)目(No. 12ZZ063)Hermite過(guò)程的隨機(jī)分析(200901、01  2011、12、31

8、  (主持)留學(xué)回國(guó)基金:正交函數(shù)與鞅的幾個(gè)問(wèn)題

 

近年來(lái)發(fā)表的代表性論著、專利:

論文

[1]      (with R. Guo and W. Pei) The linear self-attracting diffusion driven by weighted-fractional Brownian motion II: parameter estimation, to appear in Science China Mathematics 2024 http://engine.scichina.com/doi/10.1007/s11425-023-2261-5

[2]      (with Y. Sun and H. Xue) Asymptotic behavior of a weighted self-repelling diffusion driven by fractional Brownian motion, to appear in Probability, Uncertainty and Quantitative Risk 2024

[3]      (with H. Gao and R. Guo) Convergence and parameter estimation of the linear weighted-fractional self-repelling diffusion, Comm. Statist. Th. Method.53 (2024), 2390-2421.

[4]      (with Z. Li and L. Xun) Harnack inequalities for functional SDEs driven by subordinate Volterra-Gaussian processes, Stoch. Anal. Appl. 42 (2024), 622-641.

[5]      (with X. Xia and Q. Yang) The long time behavior of the fractional Ornstein-Uhlenbeck process with linear self-repelling drift, Acta Math. Sci., Ser. B, Engl. Ed. 44 (2024), 671-685.

[6]      (with Z. Chen and W. Pei) Harnack type inequalities for SDEs driven by fractional Brownian motion with Markovian switching, Acta Math. Sci., Ser. B, Engl. Ed. 43 (2023), 1403-1414.

[7]      (with Z. Li, H. Qu and L. Xu) Viability for mixed stochastic differential equations driven by fractional Brownian motion and its application, Appl. Anal.102 (2023), 3315-3339.

[8]      (with Z. Li and L. Xu) McKean-Vlasov stochastic differential equations driven by the time-changed Brownian motion, J. Math. Anal. Appl. 527 (1) (2023), Part 2, Article ID 127336.

[9]      (with X. Xia and L. Yan) Limit theorems for a class of integral functionals driven by fractional Brownian motion, Commun. Stat., Theory Methods52 (2023), 583-601.

[10]   (with X. Yin) Local well-posedness for 2D stochastic tropical climate model, Discrete Contin. Dyn. Syst., Ser. B28 (2023), 5037-5054.

[11]   (with C. Fei, W. Fei, X. Mao) Delay-dependent asymptotic stability of highly nonlinear stochastic differential delay equations driven by G-Brownian motion, J. Franklin Inst.359 (2022), 4366-4392.

[12]    (with Z. Li and Y. Peng) Harnack inequalities for functional SDEs driven by subordinate fractional Brownian motion, J. Math. Inequal. 16 (2022), 1429-1453.

[13]   (with X. Sun) The laws of large numbers associated with the linear self-attracting diffusion driven by fractional Brownian motion and applications, J. Theor. Probab.35 (2022), 1423-1478.

[14]   (with X. Sun) Derivative for the intersection local time of two independent fractional Brownian motions, Stochastics94 (2022), 459-492.

[15]    (with L. Shen and X. Xia) Least squares estimation for the linear self-repelling diffusion driven by α-stable motions, Stat. Probab. Lett.181 (2022), Article ID 109259.

[16]   (with X. Sun) Asymptotic behaviour on the linear self-interacting diffusion driven by α-stable motion, Stochastics 93 (2021), 1186-1208.

[17]   (with Z. Li and L. Xu) Global attracting set and exponential decay of coupled neutral SPDEs driven by fractional Brownian motion, Stochastics93 (2021), 3-28.

[18]   (with Z. Li and L. Xu) Harnack inequalities for functional SDEs driven by subordinate multifractional Brownian motion, Math. Inequal. Appl. 24 (2021), 1149-1166.

[19]   (with Z. Li and L. Xu) Global attracting set, exponential stability and stability in distribution of SPDEs with jumps, Nonlinear Anal., Hybrid Syst. 41 (2021), Article ID 101056.

[20]   (with Y. Hu and W. Pei) Active disturbance rejection control approach to output-feedback stabilization of nonlinear system with Lévy noises, Syst. Control Lett.150 (2021), Article ID 104898.

[21]   (with J. Han) Lp-theory for the fractional time stochastic heat equation with an infinite-dimensional fractional Brownian motion, Infin. Dimens. Anal. Quantum Probab. Relat. Top.24 (2) (2021), Article ID 2150010, 31p.

[22]   (with X. Xia) Weak solutions for stochastic differential equations driven by fractional Brownian motion, Chin. J. Appl. Probab. Stat.37 (2) (2021), 123-135.

[23]   (with F. Xia and J. Zhu) Forward and symmetric Wick-Ito integrals with respect to fractional Brownian motion, Front. Math. China, 16 (2021), 623-645.

[24]   (with C. Fei, W. Fei, X. Mao) Stabilization of highly nonlinear hybrid systems by feedback control based on discrete-time state observations, IEEE Trans. Autom. Control 65 (2020),  2899-2912.  

[25]   (with Y. Li) Rough path analysis for local time of G-Brownian motion, Appl. Anal.99 (2020), 899-921.

[26]   (with X. Sun and X. Yu) Quadratic covariations for the solution to a stochastic heat equation with space-time white noise, Adv. Difference Equ. 2020 (2020), Paper No. 254, 42 p.

[27]   (with C. Fei and W. Fei) Existence and stability of solutions to highly nonlinear stochastic differential delay equations driven by G-Brownian motion, Appl. Math., Ser. B (Engl. Ed.) 34 (2019), 184-204.

[28]   (with C. Fei, W. Fei, X. Mao) Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations, J. Appl. Anal. Comput.9 (2019), 1053-1070.

[29]   (with J. Han) A time fractional functional differential equation driven by the fractional Brownian motion, J. Appl. Anal. Comput.9 (2019), 547-567.

[30]   (with Z. Li) Ergodicity and stationary solution for stochastic neutral retarded partial differential equations driven by fractional Brownian motion, J. Theoret. Probab.32 (2019), 1399-1419.

[31]   (with Z. Li) Stochastic averaging for two-time-scale stochastic partial differential equations with fractional Brownian motion, Nonlinear Anal., Hybrid Syst. 31 (2019), 317-333.

[32]   (with Z. Li, L. Xu) Weak solutions for stochastic differential equations with additive fractional noise, Stoch. Dyn.19 (2) (2019), Article ID 1950017.

[33]   (with Y. Pan) The least squares estimation for the α-stable Ornstein-Uhlenbeck process with constant drift, Methodol. Comput. Appl. Probab.21 (2019), 1165-1182.

[34]   (with W. Pei and Z. Zhang) Exponential stability of SDEs driven by fBm with Markovian switching, Discrete Contin. Dyn. Syst.39 (2019), 6467-6483.

[35]   (with X. Sun, X. Yu) An integral functional driven by fractional Brownian motion, Stochastic Processes Appl.129 (2019), 2249-2285.

[36]   (with Z. Wang and X. Yu) Local times of the solution to stochastic heat equation with fractional noise, Acta Math. Sci., Ser. A, Chin. Ed. 39 (2019), 582-595.

[37]   (with X. Yin) Optimal error estimates for fractional stochastic partial differential equation with fractional Brownian motion, Discrete Contin. Dyn. Syst., Ser. B,24 (2019), 615-635.

[38]   (with X. Yu) Asymptotic behaviours of a stochastic delay equation driven by an fBm in Hilbert space, Stochastics91 (2019), 1164-1185.

[39]   (with X. Yu) Asymptotic behavior for high moments of the fractional heat equation with fractional noise, J. Theor. Probab.32 (2019), 1617-1646.

[40]   (with J. Han) Controllability of a stochastic functional differential equation driven by a fractional Brownian motion, Adv. Difference Equq. 2018.

[41]   (with Y. Li) Stability of delayed Hopfield neural networks under a sub-linear expectation framework, J. Franklin Inst.355 (2018), 4268-4281.

[42]   (with Z. Li) Harnack inequalities for SDEs driven by subordinator fractional Brownian motion, Statist. Probab. Lett.134 (2018), 45–53.

[43]   (with Z. Li) Stepanov-like almost automorphic solutions for stochastic differential equations with Lévy noise, Comm. Statist. Theory Methods 47 (2018), 1350–1371.

[44]   (with Z. Li, X. Zhou) Global attracting sets and stability of neutral stochastic functional differential equations driven by Rosenblatt process, Front. Math. China 13 (2018), 87–105.

[45]   (with J. Liu) On a nonlinear stochastic pseudo-differential equation driven by fractional noise, Stoch. Dyn.18 (2018), No.1, 1850002, 36 pp

[46]   (with H. Qi) A law of iterated logarithm for the subfractional Brownian motion and an application, J. Inequal. Appl. 2018.

[47]   (with X. Sun) Central limit theorems and parameter estimation associated with a weighted-fractional Brownian motion. J. Statist. Plann. Inference 192 (2018), 45–64.

[48]   (with D. Xia and X. Yin) On a semilinear double fractional heat equation driven by fractional Brownian sheet, J. Appl. Anal. Comput.8 (2018), 202-228.

[49]   (with X. Yin) Large deviation principle for a space-time fractional stochastic heat equation with fractional noise, Fract. Calc. Appl. Anal.21 (2018), 462-485.

[50]   (with X. Yin) Harnack inequality and derivative formula for stochastic heat equation with fractional noise, Electron. Commun. Probab. 23 (2018), Paper No. 35.

[51]   (with X. Yin) Bismut formula for a stochastic heat equation with fractional noise, Statist. Probab. Lett.137 (2018), 165-172.

[52]   甘姚紅、閆理坦:由分?jǐn)?shù)布朗運(yùn)動(dòng)驅(qū)動(dòng)的線性自排斥擴(kuò)散的最小二乘估計(jì),中國(guó)科學(xué)數(shù)學(xué),2018.

[53]   (with J. Cui) Controllability of neutral stochastic evolution equations driven by fractional Brownian motion, Acta Math. Sci. Ser. B,37 (2017), 108-118.

[54]   (with Y. Li, D. Wu) Approximation of the Rosenblatt process by semimartingales, Comm. Statist. Theory Methods, 46 (2017), 4556–4578.

[55]   (with X. Sun) Weak convergence to a class of multiple stochastic integrals, Comm. Statist. Theory Methods, 46 (2017), 8355–8368.

[56]   (with X. Sun, Q. Zhang) The quadratic covariation for a weighted fractional Brownian motion, Stoch. Dyn.17 (2017), No. 4, 1750029, 41 pp.

[57]   (with D. Xia) Mixed fractional heat equation driven by fractional Brownian sheet and Lévy process, Math. Probl. Eng. 2017.

[58]   (with D. Xia) Some properties of the solution to fractional heat equation with a fractional Brownian noise, Adv. Difference Equ. 2017, No. 107.

[59]   (with D. Xia) On a semilinear mixed fractional heat equation driven by fractional Brownian sheet, Bound, Value Probl. 2017, No. 7, 24 pp.

[60]   (with X. Yu) On Lp--solution of fractional heat equation driven by fractional Brownian motion, J. Appl. Anal. Comput. 7 (2017), 581-599.

[61]   (with X. Yu) Derivative of intersection local time of independent symmetric stable motions, Statist. Probab. Lett.121 (2017), 18–28.

[62]   孫西超、閆理坦:次分?jǐn)?shù)布朗運(yùn)動(dòng)一個(gè)積分泛函的中心極限定理及其應(yīng)用,中國(guó)科學(xué)數(shù)學(xué) 2017.

[63]   L. Yan, The fractional derivative for fractional Brownian local time with Hurst index large than 1/2, Math. Z.283 (2016), 437-468

[64]   (with J. Liu) Solving a nonlinear fractional stochastic partial differential equation with fractional noise, J. Theoret. Probab.29 (2016), 307-347.

[65]   (with X. Yu) Asymptotic behavior of the solution of the fractional heat equation, Statist. Probab. Lett. 117 (2016), 54-61.

[66]   (with H. Gao, K. He) The quadratic variation for mixed-fractional Brownian motion, J. Inequal. Appl. 2016, 20 pp.

[67]   (with G. Shen, X. Yin) Approximation of the Rosenblatt sheet, Mediterr. J. Math. 13 (2016), 2215-2227.

[68]   (with J. Cui, Jing, Y. Li) Temporal variation for fractional heat equations with additive white noise, Bound. Value Probl. 2016, 27 pp.

[69]   (with Z. Wang) Approximation of the multidimensional parameter fractional Brownian sheet in Skorokhod space.

[70]   (with X. Sun, X. Yu) Solving a stochastic heat equation driven by a bi-fractional noise, Bound. Value Probl. 2016, 66, 22 pp.

[71]   (with G. Shen, X. Yin) Least squares estimation for Ornstein-Uhlenbeck processes driven by the weighted fractional Brownian motion, Acta Math. Sci. Ser. B 36 (2016), 394–408.

[72]   (with X. Yu) Derivative for self-intersection local time of multidimensional fractional Brownian motion, Stochastics87 (2015), 966–999.

[73]   (with Y. Li, D. Wu) Approximating the Rosenblatt process by multiple Wiener integrals, Electron. Commun. Probab. 20 (2015), 16 pp.

[74]   (with B. Gao, X. Sun) Integration with respect to the G -Brownian local time, J. Math. Anal. Appl.424 (2015), 835-860.

[75]   (with X. Sun) Maximal inequalities for iterated integrals under G -expectation for recurrent event data, Acta Math. Appl. Sin. 37 (2014), 847–856.

[76]   (with C. Chen, J. Liu) The generalized quadratic covariation for fractional Brownian motion with Hurst index less than 1/2, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17 (2014), 1450030, 32 pp.

[77]   (with B. Gao, Q. Zhang Hilbert transform of G -Brownian local time, Stoch. Dyn.14 (2014), No. 4, 1450006, 26 pp.

[78]   (with H. Jing, Z. Wang) Some path properties of weighted-fractional Brownian motion, Stochastics 86 (2014), 721-758.

[79]   (with Z. Wang, X. Yu) Weak convergence to the fractional Brownian sheet using martingale differences, Statist. Probab. Lett. 92 (2014), 72-78.

[80]   (with B. Gao) The Bouleau-Yor identity for a bi-fractional Brownian motion, Stochastics 86 (2014), 382-414.

[81]   (with G. Shen) An approximation of subfractional Brownian motion, Comm. Statist. Theory Methods43 (2014), 1873-1886.

[82]   (with G. Shen) Estimators for the drift of subfractional Brownian motion, Comm. Statist. Theory Methods 43 (2014), 1601-1612.

[83]   (with J. Liu) On a semilinear stochastic partial differential equation with double-parameter fractional noises, Sci. China Math. 57 (2014), 855-872.

[84]   (with G. Shen) Asymptotic behavior for bi-fractional regression models via Malliavin calculus, Front. Math. China9 (2014), 151-179.

[85]   (with J. Cui) Existence results for impulsive neutral second-order stochastic evolution equations with nonlocal conditions, Math. Comput. Modelling57 (2013), 2378-2387.

[86]   (with J. Cui) Asymptotic behavior for neutral stochastic partial differential equations with infinite delays, Electron. Commun. Probab.18 (2013), 12 pp.

[87]   (with K. He) The generalized Bouleau-Yor identity for a sub-fractional Brownian motion, Sci. China Math.56 (2013), 2089-2116.

[88]   (with J. Liu) p-variation of an integral functional associated with bi-fractional Brownian motion, Filomat27 (2013), 995-1009.

[89]   (with G. Shen), Berry-Esseen bounds and almost sure CLT for quadratic variation of weighted fractional Brownian motion, J. Inequal. Appl. 275 (2013), 1-18.

[90]   (with G. Shen), Power variation of subfractional Brownian motion and application, Acta Math. Sci. 33 (2013), 901-922.

[91]   (with Z. Wang), Stochastic Volterra Equation Driven by Wiener Process and Fractional Brownian Motion, Abstract Appl. Anal. 2013.

[92]   (with Z. Wang), The S-transform of sub-fBm and a class of linear sub-fractional BSDEs, Adv. Math. Phy. Volume 2013,Article ID 827192.

[93]   (with Z. Wang, X. Yu) Weak approximation of the fractional Brownian sheet from random walks, Electron. Commun. Probab. 18 (2013), 13 pp.

[94]   (with Q. Zhang) Successive approximation of SFDEs with finite delay driven by G-Brownian motion, Abstr. Appl. Anal. 2013.

[95]   (with C. Chen and L. Sun) An approximation to the Rosenblatt process using martingale differences, Statist. Probab. Lett. 82 (2012), 748-757.

[96]   (with J. Cui) Successive approximation of neutral stochastic evolution equations with infinite delay and Poisson jumps, Appl. Math. Comput.218 (2012), 6776–6784.

[97]   (with J. Cui)  Nonlocal Cauchy problem for some stochastic integro-differential equations in Hilbert spaces, J. Korean Statist. Soc. 41 (2012), 279–290.

[98]   (with J. Liu) Remarks on asymptotic behavior of weighted quadratic variation of sub-fractional Brownian motion, J. Korean Statist. Soc. 41 (2012), 177–187

[99]   (with J. Liu) On a jump-type stochastic fractional partial differential equation with fractional noises, Nonlinear Anal. 75 (2012), 6060-6070.

[100]  (with J. Liu) Confidence intervals for self-similarity parameter of a sub-fractional Brownian motion, Abstract Appl. Anal. 2012.

[101]  (with G. Shen) Smoothness for the collision local time of two multidimensional bifractional Brownian motions, Czech. Math. J. 62 (2012), 969-989.

[102]  (with G. Shen) On the convergence to the multiple subfractional Wiener integral, J. Korean Statist. Soc.41 (2012), 459–469.

[103] (with X. Wu) Wenbing; Tang, Yang Stability of stochastic nonlinear switched systems with average dwell time, J. Phys.A, 45 (2012), No. 8, 085207, 11 pp

[104] (with X. Wu) Exponential stability of impulsive stochastic delay differential systems, Discrete Dyn. Nat. Soc. 2012, 15 pp.

[105](with C. Chen) Central limit theorem for weighted local time of L^2 modulus of fractional Brownian motion, J. Korean Statist. Soc.41 (2011), 451-458.

[106](with J. Cui), Existence result for fractional neutral stochastic integro-differential equations with infinite delay, J. Phys. A 44 (2011), No. 33, 335201, 16 pp.

[107](with J. Cui) Exponential stability for neutral stochastic partial differential equations with delays and Poisson jumps, Statist. Probab. Lett.81 (2011), 1970–1977.

[108](with G. Shen) Remarks on an integral functional driven by sub-fractional Brownian motion, J. Korean Statist. Soc.40 (2011), 337–346

[109](with G. Shen) Remarks on sub-fractional Bessel processes, Acta Math. Sci.31 (2011), 1860–1876.

[110] (with G. Shen) Smoothness for the collision local times of bifractional Brownian motions, Sci. China Math.54 (2011), 1859–1873.

[111](with X. Wu) Yang Exponential stability of stochastic differential delay systems with delayed impulse effects, J. Math. Phys. 52 (2011), No. 9, 092702, 14 pp.

[112](with C. Chen) Remarks on the intersection local time of fractional Brownian motions, Statist. Probab. Lett.81 (2010), 1003–1012.

[113] (with G. Shen) On the collision local time of sub-fractional Brownian motions, Statist. Probab. Lett.80 (2010), 296–308.

[114](with G. Shen) Ito's formula for a sub-fractional Brownian motion, Comm. Stoch. Anal. 5 (2010), 135-159.

[115](with J. Liu) On the collision local time of bifractional Brownian motions, Stoch. Dyn. 9 (2009), 479–491.

[116] L. Yan, J. Liu and X. Yang, Integration with respect to fractional local time, Potential Analysis, 30 (2009), 115-138.

[117](with Y. Lu) Some properties of fractional Ornstein-Uhlenbeck process, J. Phys. A: Math. Theor. 41 (2008) 145007 (17pp)

[118](with Y. Sun) On the linear fractional self-attracting diffusion, Journal of Theoretical Probability, 21 (2008), 502–516.

[119] (with J. Liu, X. Yang) p--variation of an integral functional driven by fractional Brownian motion, Stat. Prob. Lett.78 (2008), 1148–1157.

[120](with X. Yang) Some remarks on local time-space calculus, Stat. Prob. Lett.77 (2007), 1600-1607.

[121] (with N. Yoshida) Oscillations of characteristic initial value problems for hyperbolic equations with delays, Indian J Pure Appl Math.37 (2006), 357-377.

[122](with M. Tian) On local time of fractional Ornstein-Uhlenbeck process, Lett. Math. Phy. 73 (2006), 209 – 220.

[123] (with N. Kazamaki) On the distance between and in the space of continuous BMO-martingales, Studia Math.168 (2005), 129-134.

[124] (with B. Zhu) Lp-estimates on diffusion processes, J. Math. Anal. Appl.303 (2005), 418-435.

[125] (with J. Ling) Stochastic integral for Bessel process, Stat. Prob. Lett. 74 (2005), 93-102.

[126]L. Yan, Maximal inequalities for a time-inhomogeneous diffusion process, J. Math. Phy. 46 No. 8 (2005).

[127]L. Yan, Maximal inequalities for iterated fractional integrals, Stat. Prob. Lett. 69 (2004), 69-79.

[128]L. Yan, Two inequalities for iterated stochastic integrals, Archiv der Mathematik, 82 (2004), 377-384.

[129](with Y. Li) Maximal inequalities for CIR processes, Lett. Math. Phy.68 (2004), 17-30.

[130] (with B. Zhu) A ration inequality for Bessel processes, Stat. Prob. Lett.66 (2004), 35-44.

[131]  L. Yan, Maximal inequalities for a continuous semimartingale, Stoch. Stoch. Reports, 75 (2003), 47-56.

[132]  L. Yan, Some ration inequalities for iterated stochastic integrals, Math. Nachr.259 (2003), 84-98.

[133] (with Y. Guo) Maximal inequalities for a series of continuous local martingales, SUT J. Math. 39 (2003), 71—84.

[134] (with Y. Guo) Convergence of weighted sums of products of random variables with long-range dependence, Inter. Inform. Sci. 9 (2003), 269-289.

著作

1、    閆理坦、魯立剛、許志強(qiáng):《隨機(jī)積分與不等式》,科學(xué)出版社、北京2005.

2、    閆理坦譯:《伊藤清概率論》,人民郵電出版社,2011.

 

國(guó)際交流與合作:

  199601200204,在日本國(guó)立富山大學(xué)留學(xué)

 

其他愿意公開(kāi)的信息:

1、  指導(dǎo)研究生情況

畢業(yè)碩士研究生50余名;畢業(yè)博士研究生16名。

 

2、  主要教學(xué)課程

本科生:概率論、數(shù)理統(tǒng)計(jì)、隨機(jī)過(guò)程;

研究生(碩士、博士):測(cè)度論、Levy過(guò)程、隨機(jī)積分、分?jǐn)?shù)布朗運(yùn)動(dòng)、Malliavin分析、隨機(jī)偏微分方程

 


聯(lián)系電話:6779869313917278271                     

E-MAILlitanyan@dhu.edu.cn; litan-yan@hotmail.com


關(guān)于東華大學(xué)

東華大學(xué)是教育部直屬、國(guó)家“211工程”、國(guó)家“雙一流”建設(shè)高校。學(xué)校秉承“崇德博學(xué)、礪志尚實(shí)”的校訓(xùn),不斷開(kāi)拓奮進(jìn),
已發(fā)展成為以紡織、材料、設(shè)計(jì)為優(yōu)勢(shì),特色鮮明的多科性、高水平大學(xué)。

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