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href="https://sys.imtlucca.it" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-family: Lato, Arial; font-weight: 700; text-decoration: underline;">PhD program in Systems Science</span></a><span class="C9DxTc " style=""> at IMT, the </span><a class="XqQF9c" href="https://sys.imtlucca.it/program-overview/complex-systems-and-networks-cn" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-family: Lato, Arial; font-weight: 700; text-decoration: underline;">track in Complex Systems and Networks</span></a><span class="C9DxTc " style=""> organized by the Networks Unit offers a multidisciplinary, scientific background aimed at the empirical analysis and the mathematical modelling of complex systems, as well as their application to problems of societal relevance. The program, among the few of its kind at the international level, places </span><span class="C9DxTc " style="font-family: Lato, Arial; font-weight: 700;">theoretical research in complexity science</span><span class="C9DxTc " style=""> as its core, distinctive component, emphasising methodolgical innovation (such as the introduction of novel quantitative methods of analysis).</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="text-align: justify;"><span class="C9DxTc " style="">The teaching program consists in doctoral courses that cover both a wide spectrum of theoretical knowledge (</span><span class="C9DxTc " style="font-family: Lato, Arial; font-weight: 700;">graph theory, statistical physics, information theory, stochastic processes, random matrices, optimization, machine learning</span><span class="C9DxTc " style="">) and a broad range of possible applications (to </span><span class="C9DxTc " style="font-family: Lato, Arial; font-weight: 700;">financial, economic, social, biological, neural, ecological, energetic, infrastructural systems</span><span class="C9DxTc " style="">). The theoretical methods introduced in the courses include techniques of pattern detection in empirical systems, time series analysis, network inference from partial information, physical models of complex systems and networks, noise filtering in networks. The applications include problems related to financial regulation, economic resilience, sustainability, ecological stability, (mis)information diffusion, health.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="text-align: justify;"><span class="C9DxTc " style="">Beside the institutional courses, the program offers </span><span class="C9DxTc " style="font-family: Lato, Arial; font-weight: 700;">seminars held by international experts, visiting research and training periods abroad, co-tutorships and a constant supervision</span><span class="C9DxTc " style=""> from the PhD advisor(s), the professors contributing to the track and their international collaborators.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="text-align: justify;"><span class="C9DxTc " style="">Candidate PhD students willing to carry out research oriented towards </span><span class="C9DxTc " style="font-family: Lato, Arial; font-weight: 700;">theoretical modelling and methodological innovation</span><span class="C9DxTc " style=""> should have a background in computer science, engineering, mathematics, physics, statistics or a related field while those who have </span><span class="C9DxTc " style="font-family: Lato, Arial; font-weight: 700;">more applied interests</span><span class="C9DxTc " style=""> (to biology, economics, finance, social sciences, sustainability, etc.) should have a strong, quatitative background in the corresponding field.</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="text-align: justify;"><span class="C9DxTc " style="">The PhD track trains towards an </span><span class="C9DxTc " style="font-family: Lato, Arial; font-weight: 700;">academic career</span><span class="C9DxTc " style=""> (e.g. in university departments or research centers), the </span><span class="C9DxTc " style="font-family: Lato, Arial; font-weight: 700;">public sector </span><span class="C9DxTc " style="">(e.g. in governmental institutions or statistical offices), the </span><span class="C9DxTc " style="font-family: Lato, Arial; font-weight: 700;">private environment</span><span class="C9DxTc " style=""> (e.g. as data scientists).</span></p><p dir="ltr" class="zfr3Q CDt4Ke " style="text-align: justify;"><span class="C9DxTc " style="">The Networks Unit offers courses and PhD stupervision also within the </span><a class="XqQF9c" href="https://phd-ai-society.di.unipi.it/en/" target="_blank" style="color: inherit; text-decoration: none;"><span class="C9DxTc aw5Odc " style="font-family: Lato, Arial; font-weight: 700; text-decoration: underline;">Italian national PhD program in Artificial Intelligence for Society</span></a><span class="C9DxTc " style="">.</span></p></div></div></div></div></div></div></div></div></div></section></div><div class="Xpil1b xgQ6eb"></div><footer jsname="yePe5c"><section id="h.55c70290097ac894_3" class="yaqOZd lQAHbd"><div class="IFuOkc"></div><div class="mYVXT"><div class="LS81yb VICjCf j5pSsc db35Fc" tabindex="-1"><div class="hJDwNd-AhqUyc-uQSCkd Ft7HRd-AhqUyc-uQSCkd purZT-AhqUyc-II5mzb ZcASvf-AhqUyc-II5mzb pSzOP-AhqUyc-qWD73c Ktthjf-AhqUyc-qWD73c JNdkSc SQVYQc"><div class="JNdkSc-SmKAyb LkDMRd"><div class="" jscontroller="sGwD4d" jsaction="zXBUYb:zTPCnb;zQF9Uc:Qxe3nd;" jsname="F57UId"><div class="oKdM2c ZZyype Kzv0Me"><div id="h.55c70290097ac894_0" class="hJDwNd-AhqUyc-uQSCkd Ft7HRd-AhqUyc-uQSCkd jXK9ad D2fZ2 zu5uec OjCsFc dmUFtb wHaque g5GTcb"><div class="jXK9ad-SmKAyb"><div class="tyJCtd mGzaTb Depvyb baZpAe"><small id="h.yptqm42axd4e" dir="ltr" class="zfr3Q TMjjoe CDt4Ke " style="display: block;"><span class="C9DxTc " style="">© Copyright 2025 IMT School for Advanced Studies Lucca</span></small></div></div></div></div></div></div></div></div></div></section></footer><div jscontroller="j1RDQb" jsaction="rcuQ6b:rcuQ6b;MxH79b:JdcaS;FaOgy:XuHpsb;" class="dZA9kd ynRLnc" data-last-updated-at-time="1739231932540" data-is-preview="false"><div role="button" class="U26fgb JRtysb WzwrXb I12f0b K2mXPb zXBiaf ynRLnc" jscontroller="iSvg6e" jsaction="click:cOuCgd; 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