{"id":121,"date":"2023-03-01T18:31:02","date_gmt":"2023-03-01T17:31:02","guid":{"rendered":"https:\/\/www.inf.unibz.it\/krdb\/?page_id=121"},"modified":"2023-04-21T10:38:47","modified_gmt":"2023-04-21T09:38:47","slug":"math-macroarea","status":"publish","type":"page","link":"https:\/\/www.inf.unibz.it\/krdb\/math-macroarea\/","title":{"rendered":"MATH Mathematical Foundations research area"},"content":{"rendered":"\n

We are mainly dealing with applied mathematics: we develop and employ mathematical approaches, methods and tools to investigate issues and questions which arise in different fields, from socio-economic ones to engineering and technological ones. Our research includes the various stages of modelling, analytical study and numerical simulations.<\/p>\n\n\n\n

A few keywords are associated below to each of us.<\/p>\n\n\n\n

\"\"<\/figure>
\n

BERTOTTI Maria Letizia <\/strong><\/p>\n\n\n\n

Mathematical models for complex systems<\/p>\n\n\n\n

Structure and properties of complex networks<\/p>\n\n\n\n

Diffusion dynamics on top of complex networks<\/p>\n\n\n\n

Mathematical models for socio-economic systems<\/p>\n\n\n\n

Equations and simulations of ropeway dynamics<\/p>\n<\/div><\/div>\n\n\n\n

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\n

COLOMBARO Ivano <\/strong><\/p>\n\n\n\n

Fractional calculus and linear viscoelasticity<\/p>\n\n\n\n

Prabhakar fractional calculus<\/p>\n\n\n\n

Exterior calculus and generalized electromagnetic models<\/p>\n<\/div><\/div>\n\n\n\n

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\n

LEVAGGI Laura <\/strong><\/p>\n\n\n\n

Non-cooperative game theory with applications to economics<\/p>\n\n\n\n

Optimality and welfare analysis of regulatory policies<\/p>\n\n\n\n

Variable structure control<\/p>\n<\/div><\/div>\n\n\n\n

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\n

MODANESE Giovanni<\/strong><\/p>\n\n\n\n

Mathematical models for complex systems<\/p>\n\n\n\n

Structure and properties of complex networks<\/p>\n\n\n\n

Diffusion dynamics on top of complex networks<\/p>\n\n\n\n

Theoretical physics: field theory, quantum systems<\/p>\n\n\n\n

Equations and simulations of ropeway dynamics<\/p>\n<\/div><\/div>\n\n\n\n

Structure and properties of complex networks<\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Equations and simulations of ropeway dynamics<\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Diffusion dynamics on top of complex networks<\/strong><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Optimality and welfare analysis of regulatory policies<\/strong><\/p>\n\n\n\n

\n
\n
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Effect of the institutional setting on incentives, equilibria and welfare on the allocation of welfare in presence of externalities (network of local authorities and effects of local decisions on neighbours)  <\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n

Prabhakar fractional calculus<\/strong><\/p>\n\n\n\n

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The attenuation factor for the Maxwell-Prabhakar class shows a very slow varying behaviour, supporting evidences for which the Q-factor of homogeneous materials is substantially independent of the frequency.<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"

We are mainly dealing with applied mathematics: we develop and employ mathematical approaches, methods and tools to investigate issues and questions which arise in different fields, from socio-economic ones to engineering and technological ones. Our research includes the various stages of modelling, analytical study and numerical simulations. A few keywords are associated below to each…<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-121","page","type-page","status-publish","hentry","entry","no-media"],"_links":{"self":[{"href":"https:\/\/www.inf.unibz.it\/krdb\/wp-json\/wp\/v2\/pages\/121","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inf.unibz.it\/krdb\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.inf.unibz.it\/krdb\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.inf.unibz.it\/krdb\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inf.unibz.it\/krdb\/wp-json\/wp\/v2\/comments?post=121"}],"version-history":[{"count":16,"href":"https:\/\/www.inf.unibz.it\/krdb\/wp-json\/wp\/v2\/pages\/121\/revisions"}],"predecessor-version":[{"id":675,"href":"https:\/\/www.inf.unibz.it\/krdb\/wp-json\/wp\/v2\/pages\/121\/revisions\/675"}],"wp:attachment":[{"href":"https:\/\/www.inf.unibz.it\/krdb\/wp-json\/wp\/v2\/media?parent=121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}