We formulate convergency conditions for adelic Feynman amplitudes and prove that for spaces of sufficiently high dimension, there exists a nonempty domain in the space of powers of propagators in which the adelic amplitude ...

© Published under licence by IOP Publishing Ltd. Let us consider some set of points on the Cartesian plane. Each point is a part of one of few curves describing the dependency between abscissas and ordinates. In our case ...

We define fractional-dimensional p-adic Feynman amplitudes and construct a dimensional renormalization with minimum subtractions. In the fermionic model case, another dimensional renormalization procedure is defined as the ...

A fermionic version of Dyson's hierarchical model is defined. An exact renormalization group transformation is given as a rational transformation of two-dimensional parameter space. Two branches of nontrivial fixed points ...

It is shown that some Gaussian and non-Gaussian scaling invariant p-adic field theories are invariant under the group of transformations which conserve the p-adic norm of the cross-ratio of any four points. This group can ...

Let (R ik) n i,k=1 and (J ik) n i,k=1 be preference matrices in the stable matching problem and let (J ik) n i,k=1 be the measure of the mutual antipathy in the assignment problem. In this paper we describe all functions ...

© 2014, International Linear Algebra Society. All rights reserved. Consider a homogeneous Markov chain with discrete time and with a finite set of states E0, . . . ,En such that the state E0 is absorbing and states E1, . ...

This paper is the first step of generalization of the previously obtained full classification of the asymptotic behavior of the probability for Markov chain trajectories for the case of hidden Markov models. The main goal ...