Adaptive Dynamics for Interacting Markovian Processes

Dynamics of information flow in adaptively interacting stochastic processes is studied. We give an extended form of game dynamics for Markovian processes and study its behavior to observe information flow through the system. Examples of the adaptive dynamics for two stochastic processes interacting through matching pennies game interaction are exhibited along with underlying causal structure

The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions

The final open part of Strauss' conjecture on semilinear wave equations was the blow-up theorem for the critical case in high dimensions. This problem was solved by Yordanov and Zhang in 2006, or Zhou in 2007 independently. But the estimate for the lifespan, the maximal existence time, of solutions was not clarified in both papers. In this paper, we refine their theorems and introduce a new iteration argument to get the sharp upper bound of the lifespan. As a result, with the sharp lower bound by Li and Zhou in 1995, the lifespan T(\e) of solutions of $u_{tt}-\Delta u=u^2$ in $\R^4\times[0,\infty)$ with the initial data u(x,0)=\e f(x),u_t(x,0)=\e g(x) of a small parameter \e>0, compactly supported smooth functions $f$ and $g$, has an estimate \exp(c\e^{-2})\le T(\e)\le\exp(C\e^{-2}), where $c$ and $C$ are positive constants depending only on $f$ and $g$. This upper bound has been known to be the last open optimality of the general theory for fully nonlinear wave equations

Homotopy classification of nanophrases with less than or equal to four letters

In this paper we give the stable classification of ordered, pointed, oriented multi-component curves on surfaces with minimal crossing number less than or equal to 2 such that any equivalent curve has no simply closed curves in its components. To do this, we use the theory of words and phrases which was introduced by V. Turaev. Indeed we give the homotopy classification of nanophrases with less than or equal to 4 letters. It is an extension of the classification of nanophrases of length 2 with less than or equal to 4 letters which was given by the author in a previous paper. This is a corrected version of Hokkaido University Preprint Series in Mathematics #921. I corrected the subsection 5.3 and added proofs of propositions.Comment: 15 pages, 2 figures. This is a corrected version of Hokkaido University Preprint Series in Mathematics #92

The DNA methylation inhibitor 5-aza-2’-deoxycytidine retards cell growth and alters gene expression in canine mammary gland tumor cells

Disruption of gene expression by DNA methylation changes is widely involved in tumorigenesis. Here,to investigate DNA methylation changes in canine, we treated a canine mammary gland tumor cell line with a DNA methylation inhibitor, 5-aza-2’-deoxycytidine (5-aza). Cell growth was significantly retarded following 5-aza treatment and the epithelial marker genes CDH1 and KRT18 were significantly up-regulated, whereas the mesenchymal marker genes CDH2 and VIM were significantly downregulated. We also found a significant decrease in DNA methylation level in the CDH1 promoter region by 5-aza treatment. These results showed for the first time in canine mammary gland tumor cells that inhibition of DNA methylation caused cell growth retardation and affected epithelial mesenchymal transition-related gene expression via changes in DNA methylation level

True Lies

SOCREAL 2013 : 3rd International Workshop on Philosophy and Ethics of Social Reality 2013. Hokkaido University, Sapporo, Japan, 25-27 October 2013. Session 1 : Logic, Knowledge, and Philosophy of Languag

Netcitizenship: addressing cyberevenge and sexbullying

This article discusses the phenomena of Cyberevenge, sexbullying, and sextortion, especially among young people. The discussion, based on extensive review of books, research reports, newspapers, journal articles and pertinent websites, analyzes these challenges. The article suggests some remedies to counter these online social ills which pertain to promoting responsibility of netcitizens, schools, governments, Non-Governmental Organizations (NGOs) and social networking sites

Spectral analysis of a massless charged scalar field with spacial cut-off

The quantum system of a massless charged scalar field with a self-interaction is investigated. By introducing a spacial cut-off function, the Hamiltonian of the system is realized as a linear operator on a boson Fock space. It is proven that the Hamiltonian strongly commutes with the total charge operator. This fact implies that the state space of the charged scalar field is decomposed into the infinite direct sum of fixed total charge spaces. Moreover, under certain conditions, the Hamiltonian is bounded below, self-adjoint and has a ground ground state for an arbitrarily coupling constant. A relation between the total charge of the ground state and a number operator bound is also revealed

A generalized logarithmic module and duality of Coxeter multiarrangements

We introduce a new definition of a generalized logarithmic module of multiarrangements by uniting those of the logarithmic derivation and the differential modules. This module is realized as a logarithmic derivation module of an arrangement of hyperplanes with a multiplicity consisting of both positive and negative integers. We consider several properties of this module including Saito's criterion and reflexivity. As applications, we prove a shift isomorphism and duality of some Coxeter multiarrangements by using the primitive derivation.Comment: 17 page