These are called the "backward diffusion equation" and the "forward diffusion equation" respectively, the latter being sometimes called the Fokker-Planck's equation. In these equations, the symmetric contravariant tensor bif(x) is assumed to be such that the quadratic form bij(x)ppj is, for ^< £?>0, greater than 0 in R and a{(x) is assumed to obey, in the coordinate change x—*x, the transformat...

In massive agent system, there are many diffusion processes among agent social strategies which take place concurrently. A social law is a restriction on the set of strategies available to agents [1]. All agents will trend to select an identical social strategy in the agent social law evolution, which can be called as the phenomenon of unification trend. This paper presents a model for the conc...

We investigate local and global properties of positive solutions to the fast diffusion equation ut = ∆u m in the range (d− 2)+/d < m < 1, corresponding to general nonnegative initial data. For the Cauchy problem posed in the whole Euclidean space R we prove sharp Local Positivity Estimates (Weak Harnack Inequalities) and Elliptic Harnack inequalities; we use them to derive sharp Global Positivi...

The influence of available processing resources on the resistance to false memories (FMs) for lists of semantically related items associated with a non-presented critical lure was examined in younger and older adults. Reducing the available resources at encoding in younger adults (Experiments 1 and 2) led to a performance similar to that of older adults (i.e., higher rates of FMs in addition to...

The perceived value of information can influence one's motivation to successfully remember that information. This study investigated how information value can affect memory search and evaluation processes (i.e., retrieval monitoring). In Experiment 1, participants studied unrelated words associated with low, medium, or high values. Subsequent memory tests required participants to selectively mo...

This study used the Deese-Roediger-McDermott paradigm to investigate the direction and the extent to which emotional valence in semantic word lists influences the formation of false memories (FM). The experimental paradigm consisted of 1) a study phase (learning of neutral and negative lists of words semantically associated to a non-presented critical lure (CL), 2) a free recall phase, and 3) a...

..................................................................................................................... 4 Introduction ................................................................................................................ 7 Part I: SPIES Produce Estimates with Better Calibration ....................................... 13 Part II: SPIES Reduce Overprecision in Other Elici...