Sustainable Development Goals
Research interests
• Statistical Properties of electoral systems
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Dissipative quantum systems
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Statistical Mechanics of systems without equilibrium
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Fluctuations in complex systems
Profile
Professor Hugo Hernández Saldaña was born in Mexico in 1968 and was educated in public schools from kindergarten through university. He received his B.Sc., M.Sc., and Ph.D. degrees from the Universidad Nacional Autónoma de México (UNAM). Ph.D. thesis topic is related to the thermalization of finite isolated systems under the supervision of Felix M. Izrailev from the Benemérita Universidad Autónoma de Puebla and François A. Leyvraz of the UNAM, obtaining his degree in 2002.
He made two postdoctoral stays, one with Professor Izrailev at the University of Puebla in 2003 and later another at the National University of Mexico under the supervision of Alberto Robledo. He was a visiting Professor at the Universidad Autónoma Metropolitana (UAM) Azcapotzalco Campus and was subsequently hired in 2009, where he has been working since then.
His research interests include the study of complex systems from a statistical point of view. He worked on quantum spectral statistics of chaotic systems leading to a Ph.D. thesis on the properties that give rise to thermalization in quantum systems of few bound particles. In postdoc with Prof. Robledo he obtained the analytical verification of the validity of the q-entropy proposed by C. Tsallis at the chaos edge for the quasiperiodic path.
Since 2006 he has carried out studies of electoral statistics. He has reported the existence of so-called stylized facts in all Mexican federal elections of the 21st century and found that the distribution of votes per polling place for the Institutional Revolutionary Party (PRI) follows the same distribution as the energies of a disordered system in the metal-to-isolator transition.
He has been teaching since 1994, supporting or giving courses to physicists and engineers at the Faculty of Sciences of the UNAM and at the Azcapotzalco Campus. He has a book published in two volumes on linear algebra and several in project.
Information provided by the academic staff