The Hungarian Pedagogical Association has always considered drawing on the examples and strengths of notable predecessors to contemporary pedagogy be a vital mission which can help teachers who struggle with everyday challenges and, at times, are vulnerable burnout. A symbolic tool for taking up this task is publication activity Association. book ‘Tanúhegyek’ (Witness Hills in English - metapho...

A selection of aspects of the theory of bounded cohomology is presented. The emphasis is on questions motivating the use of that theory as well as on some concrete issues suggested by its study. Specific topics include rigidity, bounds on characteristic classes, quasification, orbit equivalence, amenability. Mathematics Subject Classification (2000). Primary 55N; Secondary 20F.

These lectures are supposed to give a point of entry into that vast web of related ideas that go under the name “string theory”. I start with a more or less qualitative introduction to gravity as a field theory and sketch how one might try to quantize it. Quantizing gravity using the usual techniques of field theory will turn out to be unsuccessful, and that will be a motivation for trying an i...

We describe quantum tomography as an inverse statistical problem. We show results of consistency in different norms, for Pattern Function Projection Estimators as well as for Sieve Maximum Likelihood Estimators for the density matrix of the quantum state and its Wigner function. The density matrix and the Wigner function are two different ways of representing quantum state. Results are derived ...

This report is Chapter 1 in the author’s book Qualitative Computing: A computational journey into non linearity published by World Scientific, Singapore (2011). It presents an historical survey of the evolution of mathematical computation since Sumer four millennia ago. It shows how the laws of logic have evolved in the mind of mathematicians. This evolution has been driven by three major ideas...

Semigroups with an additional unary operation called a (right) closure are investigated. These “closure semigroups” may be viewed as (not necessarily regular) generalisations of inverse semigroups, and several powerful structural aspects of inverse semigroup theory are shown to extend naturally to some important classes of closure semigroups. These include representations as partial transformat...