In this paper, we study the existence and uniqueness of solutions for several classes of stochastic evolution equations with non-Lipschitz coefficients, that is, backward stochastic evolution equations, stochastic Volterra type evolution equations and stochastic functional evolution equations. In particular, the results can be used to treat a large class of quasi-linear stochastic equations, wh...

In this paper, we begin to explore the evolution of curves of the projective plane according to a family of intrinsic equations generalizing a projective heat equationn 1]. This is motivated by previous work for the Euclidean 2, 3, 4] and the aane case 5, 6, 7, 8] as well as by applications in the perception of two-dimensional shapes. We establish the projective arclength evolution and the proj...

This study aims at contributing to the analysis of the evolution of apparel industry in Brazil by answering the following questions: (a) Does global sourcing still explain the value upgrading process in the apparel production chains?; (b) Are there new sources of value upgrading to be considered?; (c) Is the dynamics of the apparel production pervaded by a phenomenon that is strongly related to...

During the past decades, the fractional differential equations have been proved to be valuable tools in the investigation of many phenomena in engineering and physics; they attracted many researchers cf., e.g., 1–9 . On the other hand, the autonomous and nonautonomous evolution equations and related topics were studied in, for example, 6, 7, 10–20 , and the nonlocal Cauchy problem was considere...

The evolution of political regimes of resource-rich countries is a highly relevant topic as the debates continue about the likelihood of those countries to democratize. Conventional wisdom dictates that large oil endowment impedes democratic development. However, recent studies found that oil and gas can both contribute to and undermine democracy. At the same time, the subject of how and why a ...

The quasispecies model of biological evolution for asexual organisms such as bacteria and viruses has attracted considerable attention of biological physicists. Many variants of the model have been proposed and subsequently solved using the methods of statistical physics. In this paper I will put forward important but largely overlooked relations between localization theory, random matrices, an...

Introduction: Recent models of giant planets formation include migration in a solar nebula whose evolution is ruled through viscosity and photoevaporation [1]. These models allow to form planets in a timescale well within observed disks lifetimes. Here, we utilize some results presented on Saturn formation [2] to calculate the structure of its surrounding subnebula, in a way consistent with the...

Most existing theoretical work on party competition pays little attention to the evolution of party systems between elections as a result of defections between parties. In this article, we treat individual legislators as utility-maximizing agents tempted to defect to other parties if this would increase their expected payoffs. We model the evolution of party systems between elections in these t...

We present a calculation of the two-loop evolution kernels of the twist-two transversally polarized quark and linearly polarized gluon skewed parton distributions in the minimal subtraction scheme and discuss a solution of the evolution equations suitable for numerical implementations.

This paper explores the evolution of strategies in a n-player dilemma game. These n-player dilemmas provide a formal representation of many real world social dilemmas. Those social dilemmas include littering, voting and sharing common resources such as sharing computer processing time. This paper explores the evolution of altruism using an nplayer dilemma. Our results show the importance of soc...