Alexander Erick Trofimoff
Scientist, Engineer,
Visual & Plastic Artist
I am a researcher and Instructor in General Statistics, Industrial Mathematics and Adaptive Signal processing and Information Science. My research fields are MIS Medical Robotics, Mathematical Optimization, Robust Control and Network coding. I have also a career of instructor in Information Technology as well as in Electrical Engineer. Finally I work alternatively in Creative Visual and Plastic Art design.
Narrowing field of dissertation: determining Capacity regions and Network coding.
01.10.2016
Choosing among the different open problems that exist on the respective field for a Dissertation topic.
03.01.2017
UPCOMING EVENTS
Presenting a Proposal of Dissertation to be laterly defended by 2017
04.15.2017
MY LATEST RESEARCH
By Jan 2015 I passed my Drexel EE PhD Candidacy, determining the rays of the rate region of a network through building its region of entropic vectors. In the first semester of 2015 I moved from the arena of listing isometric classes of Binary linear codes, through the use of analytic Algebraic methods, based on the research of Marcel Wild, to the Kerber-Fripertinger-Laue Binary linear codes analytic construction method, and lectured on it to the Aspitrg team. Along the second semester of 2016 I moved my research to the practical application of these methods, using computational developments, by adapting the Analytic construction of binary linear codes - Schmalz Lieterspiel algorithm adapted by Betten & Braun into the kind of problems worked in Aspitrg Drexel. This algorithm became essential block of the programing implemented for the dissertations of CongDuan Li and Yunshu Liu, and it is also used in the dissertation of Jayant Apte.
At present I am working in my own proposal for Dissertation Thesis, exploring methods developed by F. Matus in the study of Conditional independence Matroids from the perspective of Partition representability, exploring the relationship in between Algebraic matroids and Entropic vectors. The idea here is to try to define the relationship in between these kinds of Matroids, as much as it is possible, in order to look for possible non linear codes that achieve in an optimal way the rate region of networks. I am researching in analytical approach based on the knowledge I have achieved in the use of Group actions to determine a transversal which orbits are isometries classes of the codes to be enumerated, combining that with the use of random variables defined on partitions of supports which entropies can define entropic matroids.