Peng Shige

{{Short description|Chinese mathematician (born 1947)}}

{{family name hatnote|Peng|lang=Chinese}}

{{Infobox scientist

| name = Peng Shige

| native_name = 彭实戈

| image = Peng Shige 6-2-2010.jpg

| image_size = 150px

| caption =

| birth_date = {{birth date and age|1947|12|8}}

| birth_place = Binzhou, Shandong, China

| death_date =

| death_place =

| citizenship =

| ethnicity =

| field = Mathematics

Mathematical Finance

| work_institutions = Shandong University
Fudan University
Chinese Academy of Sciences

| alma_mater = Shandong University
Paris Dauphine University
University of Provence
Fudan University

| doctoral_advisor =

| doctoral_students =

| known_for = BSDE
Mathematical Finance

| author_abbrev_bot =

| author_abbrev_zoo =

| awards =

| module = {{Chinese |child=yes|s=彭实戈|t=彭實戈|p=Péng Shígē}}

}}

Peng Shige ({{zh|s=彭实戈}}, born December 8, 1947, in Binzhou, Shandong) is a Chinese mathematician noted for his contributions in stochastic analysis and mathematical finance.

Biography

Peng Shige was born in Binzhou and raised in Shandong, while his parents' hometown is Haifeng County in south-eastern Guangdong, he is a grandnephew of the famous revolutionary Peng Pai, and his grandfather (Peng Pai's brother) is also recognized a "revolutionary martyr" by the nation.{{cite web |last1=Gu |first1=Shengnan (谷胜男) |title=彭实戈:数学家的荣誉与责任 (Peng Shige: The honors and responsibilities of mathematicians) |url=http://dangjian.people.com.cn/n/2012/1016/c117092-19282047.html |website=People.com |publisher=People's Daily |accessdate=12 February 2019 |location=Beijing, China |language=zh |date=October 16, 2012}}{{cite web |author1=黄强 (Huang Qiang) |title=眷恋——记数学家彭实戈 (Love - Reporting mathematician Peng Shige) |url=http://www.cas.cn/jzd/jfk/jrwzx/200110/t20011007_1726377.shtml |website=www.cas.cn |publisher=Chinese Academy of Sciences |accessdate=14 February 2019 |location=Beijing, China |language=zh |date=October 7, 2001}}{{cite web |author1=张兴华 (Zhang Xinghua) |title=彭实戈:中国金融数学第一人 (Peng Shige: The number one in China's mathematical finance) |url=http://paper.jyb.cn/zgjyb/html/2009-01/15/content_3226.htm |website=paper.jyb.cn |publisher=中国教育报 China Education Daily |accessdate=14 February 2019 |location=Beijing, China |language=zh |date=January 15, 2009}} He went to a countryside working with farmers as an "Educated youth" from 1968 to 1971, and studied in the Department of Physics, Shandong University from 1971 to 1974 and went to work at the Institute of Mathematics, Shandong University in 1978. In 1983 he took an opportunity to enter Paris Dauphine University, France, under the supervision of Alain Bensoussan, who was a student of Jacques-Louis Lions. He obtained his PhDs from Paris Dauphine University in 1985{{mathgenealogy|id=127143|name=Shige Peng}}. and from University of Provence in 1986. Then he returned to China and did postdoctoral research at Fudan University before becoming a professor at Shandong University in 1990. In 1992 he was awarded the Habilitation à Diriger des Recherches by the University of Provence. He was promoted to Distinguished Professor of the Ministry of Education of China (Cheung Kong Scholarship Programme) in 1999.

Academic contributions

Professor Peng generalized the stochastic maximum principle in stochastic optimal control. In a paper published in 1990 with Étienne Pardoux, Peng founded the general theory (including nonlinear expectation) of backward stochastic differential equations (BSDEs), though linear BSDEs had been introduced by Jean-Michel Bismut in 1973.{{cite web |last1=Øksendal |first1=Bernt |title=Bernt Øksendal foreslår Etienne Pardoux og Shige Peng |url=https://www.mn.uio.no/math/om/aktuelt/aktuelle-saker/2015/abelforslag/BOksendal-EPerdoux-SPeng.html |website=www.mn.uio.no |publisher=University of Oslo |accessdate=18 February 2019 |location=Blindern, Norway |language=no,en |date=March 18, 2015}} Soon Feynman–Kac type connections of BSDEs and certain kinds of elliptic and parabolic partial differential equations (PDEs), e.g., Hamilton–Jacobi–Bellman equation, were obtained, where the solutions of these PDEs can be interpreted in the classical or viscosity senses. As a particular case the solution of the Black–Scholes equation can be represented as the solution of a simple linear BSDE, which can be regarded as a starting point of the BSDEs' applications in mathematical finance. A type of nonlinear expectation, called the g-expectation, was also derived from the theory of BSDEs. General theories of nonlinear expectations were developed later. These have various applications in utility theory, and the theory of dynamic risk measures.

Honours

In 2005, Peng was elected as an academician of the Chinese Academy of Sciences.

On August 24, 2010, as one of the invited speakers, he gave a one-hour plenary lectureOfficial web page of [http://www.icm2010.org.in/scientific-program/invited-speakers The International Congress of Mathematicians (ICM 2010): PLENARY SPEAKERS/Invited Speakers] {{webarchive|url=https://web.archive.org/web/20110717191917/http://www.icm2010.org.in/scientific-program/invited-speakers |date=2011-07-17 }} at the International Congress of Mathematicians at Hyderabad, India.{{cite news |title=Chinese Mathematician to Deliver Report at ICM |url=http://english.cas.cn/Ne/CN/200909/t20090923_43364.shtml |accessdate=2009-05-29 |publisher=Chinese Academy of Sciences |url-status=dead |archiveurl=https://web.archive.org/web/20120325075608/http://english.cas.cn/Ne/CN/200909/t20090923_43364.shtml |archivedate=2012-03-25 }}{{cite news |title=Professor Peng gave a lecture at Xiamen University |url=http://math.xmu.edu.cn/Article/ShowArticle.asp?ArticleID=1051 |date=2009-04-24 |accessdate=2009-04-30 |publisher=School of Mathematical Sciences Xiamen University |language=Chinese |url-status=dead |archiveurl=https://web.archive.org/web/20110707030842/http://math.xmu.edu.cn/Article/ShowArticle.asp?ArticleID=1051 |archivedate=2011-07-07 }}{{cite news |title=News at Shandong University |url=http://www.view.sdu.edu.cn/news/news/sdyw/2009-04-28/1240887663.html |date=2009-04-28 |accessdate=2009-04-30 |publisher=Shandong University |language=Chinese |url-status=dead |archiveurl=https://web.archive.org/web/20110707030802/http://www.view.sdu.edu.cn/news/news/sdyw/2009-04-28/1240887663.html |archivedate=2011-07-07 }}{{cite news |title=More news from other websites |url=http://www.view.sdu.edu.cn/news/news/mtbd/2009-04-29/1240988070.html |date=2009-04-27 |accessdate=2009-04-30 |url-status=dead |archiveurl=https://web.archive.org/web/20110707030818/http://www.view.sdu.edu.cn/news/news/mtbd/2009-04-29/1240988070.html |archivedate=2011-07-07 }}

In 2011, he was appointed as "Global Scholars" for academic years 2011–2014 by Princeton University, hosted by the university's departments of mathematics, operations research and financial engineering, and the Program in Applied and Computational Mathematics, as he "is a global leader in the field of probability theory and financial mathematics."{{cite web |title=Four new Global Scholars set to visit campus |url=http://www.princeton.edu/main/news/archive/S31/66/35A62/ |author=Eric Quiñones |location=Princeton, NJ 08544, USA |page=News at Princeton |date=September 22, 2011}}{{cite web |last=Council for International Teaching and Research, Princeton University |title=2011-12 Princeton Global Scholar Shige Peng |url=http://orfe.princeton.edu/news |publisher=Princeton University |location=Princeton, NJ 08540, USA }}{{cite web |url=http://www.princeton.edu/international/doc/GS-Peng-profile.pdf |title=Archived copy |accessdate=2012-02-12 |url-status=dead |archiveurl=https://web.archive.org/web/20120425112901/http://www.princeton.edu/international/doc/GS-Peng-profile.pdf |archivedate=2012-04-25 }}{{cite web |last1=Wang |first1=Qian (王倩) |title=美国诺贝尔经济学奖得主在山东大学谈金融创新 (American Nobel Laureate in Economics talks about financial innovation at Shandong University) |url=http://cnews.chinadaily.com.cn/2014-12/09/content_19052315.htm |publisher=China Daily |accessdate=12 February 2019 |location=Beijing, China |language=zh |date=December 9, 2014}}

In March 2015, as one of six or seven nominees, Peng was nominated for Abel Prize by Norwegian mathematician Bernt Øksendal.

In 2017 and again in 2021, he was a laureate of the Asian Scientist 100 by the Asian Scientist.{{cite web |url=https://www.asianscientist.com/as100/ |title=The Asian Scientist 100 |author= |date= |website= |publisher= Asian Scientist |access-date= 13 March 2025 |quote= |language= }}

In September 2020, he was awarded Future Science Prize in mathematics and computer science.{{Cite web|last=Future Science Prize Committee|date=September 6, 2020|title=Announcement of 2020 Future Science Prize Winners: Tingdong Zhang, Zhenyi Wang, Ke Lu, Shige Peng|url=http://www.futureprize.org/en/nav/detail/897.html|archive-url=|archive-date=|access-date=|website=www.futureprize.org}}

In 2023, he was elected as a member of Academia Europaea.{{Cite web |last=陈俊婕 |date=2023-08-23 |title=山大教授彭实戈当选欧洲科学院院士 |url=https://paper.sciencenet.cn/htmlnews/2023/8/507058.shtm |access-date=2024-10-23 |website=paper.sciencenet.cn 科学网 |publisher=中国科学报社 |language=zh}}{{Cite web |title=Academy of Europe: Peng Shige |url=https://www.ae-info.org/ae/Member/Peng_Shige# |access-date=2024-10-23 |website=www.ae-info.org |publisher=Academia Europaea |language=en}}

References

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