Interference of probabilities and number field structure of quantum models

We study the probabilistic consequences of the choice of the basic number field in the quantum formalism. We demonstrate that by choosing a number field for a linear space representation of quantum model it is possible to describe various interference phenomena. We analyse interference of probabilistic alternatives induced by real, complex, hyperbolic (Clifford) and p‐adic representations.     

Formalization of Bohr’s Contextuality Within the Theory of Open Quantum Systems

Journal of Russian Laser Research - In quantum physics, the notion of contextuality has a variety of interpretations, which are typically associated with the names of their inventors, say, Bohr,...     

Recursion over partitions

The paper demonstrates how to apply a recursion on the fundamental concept of number. We propose a generalization of the partitions of a positive integer n, by defining new combinatorial objects, namely sub-partitions. A recursive formula is suggested, designated to solve the associated enumeration problem. It is highlighted that sub-partitions provide a good language to study rooted phylogenetic trees.     

T-functions revisited: new criteria for bijectivity/transitivity

The paper presents new criteria for bijectivity/transitivity of T-functions and a fast knapsack-like algorithm of evaluation of a T-function. Our approach is based on non-Archimedean ergodic theory: Both the criteria and algorithm use van der Put series to represent 1-Lipschitz p-adic functions and to study measure-preservation/ergodicity of these.     

Vladimir Sergeevich Anashin

On the occasion of the 60th birthday of Professor Vladimir Sergeevich Anashin, we present a review of his significant scientific research and related activities.     

<Emphasis Type="Italic">p</Emphasis>-Adic mathematical physics and B. Dragovich research

We present a brief review of some parts of p-adic mathematical physics related to the scientific work of Branko Dragovich on the occasion of his 70th birthday.