27 citations · 113 across the 37 of their papers we have counts for
37 papers
Non-Diophantine arithmetic as the mathematical foundation for quantum field theory
Mark Burgin, Felix Lev
The problem of infinities in quantum field theory (QRT) is a long standing problem in physics.For solving this problem, different renormalization techniques have been suggested but…
Systems, Actors and Agents: Operation in a multicomponent environment
Mark Burgin
Multi-agent approach has become popular in computer science and technology. However, the conventional models of multi-agent and multicomponent systems implicitly or explicitly assu…
Mathematical Knowledge and the Role of an Observer: Ontological and epistemological aspects
Mark Burgin
As David Berlinski writes (1997), the existence and nature of mathematics is a more compelling and far deeper problem than any of the problems raised by mathematics itself. Here we…
Scaling Qualitative Probability
Mark Burgin
There are different approaches to qualitative probability, which includes subjective probability. We developed a representation of qualitative probability based on relational syste…
Typologies of Computation and Computational Models
Mark Burgin, Gordana Dodig-Crnkovic
We need much better understanding of information processing and computation as its primary form. Future progress of new computational devices capable of dealing with problems of bi…
Negative probability in the framework of combined probability
Mark Burgin
Negative probability has found diverse applications in theoretical physics. Thus, construction of sound and rigorous mathematical foundations for negative probability is important…