http://imar.ro/organization/people/CVs/Pasarescu_Ovidiu_CV.pdf

http://imar.ro/organization/people/PUBs/Pasarescu_Ovidiu_P.pdf

Research Projects

 

              Dear Coleagues,
 

This website is intended to be related to my network from Linkedin, but not only, so I built it as a public site. More precisely,  I applied as Director/Co-director of Project 8 times in EU (Romania included), USA, Japan, 5 of them being successful and 3 of them denied. I include here two of the denied projects trying to build a new one having as a provisional name something like "Simultaneous Mathematical Modeling in Quantum Physics, Economics (Bayesian Games), and Biology, with Intended Applications in (Quantum)Bioinformatics, Neurosciences, and Artificial Intelligence". Certainly, this is a huge subject, but I think that some sub-topics could be worked out. Being an interdisciplinary one, I need for the project the collaboration of specialists from the other arias than Mathematics (but, certainly, from Mathematics also). The only things which are clear for me at this moment is that I am looking for sub-topics from different sciences which have a similar mathematical model (isomorphic sub-topics), and the fact that I want to replace the classical probability theory (used in quantum physics and Bayesian economical games, for instance) with multi-valued (intuitionistic) logic, within the frame of Non-standard (Robinsonian) Analysis in Elementary topoi (these having the origin in the work of Alexander Grothendieck for Algebraic Geometry). Another possibility is to replace the classical probability theory with the so-called Non-commutative probability theory of Dan Voiculescu. I include in pages 1-3 the two projects (one related to Mathematical Economics, and another one more general), and some possible general References in page 4.

NOTE. I just added a new project, related to Riemann Hypothesis (the new page 4), and I moved the References (which I think that I will complete a little related to what follows). As well known the Riemann zera function is related to Physics and Biology, so it could fit well in the present setting.

Contents

First Proposal, first version............page   1

First Proposal, second version......page   2

Second Proposal............................page   3

Third Proposal (Approach)............page   4

References......................................page   5

NOTE. In order to change the page, please, click on its corresponding number from the top of the page.

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