We propose a simple model for the behaviour of longterm investors on a stock market, consisting of three particles, which represent the current price of the stock and the opinion of the buyers, respectively sellers, about the right trading price. As time evolves, both groups of traders update their opinions with respect to the current price. The update speed is controled by a parameter γ, the p...

We investigate combinatorial commutation properties for reordering a sequence consisting of two kinds of steps and for separating the well-foundedness of their combination into well-foundedness of each. A weakened version of the lifting property—requiring only an eventual lifting, is used for proving wellfoundedness of such unions of relations. In particular, it is used to show the well-founded...

Cancer recurrence is associated with treatment failure and is the main cause of death, 1 and thus remains to be a major clinical challenge. elevated level of the cyclin-dependent kinase 1 (CDK1) correlates with cancer recurrence and treatment resistance in patients with breast cancer or colorectal cancer. 2,3 it is proposed that defects in CDKs may lead to the accumulated genetic defects, which...

We propose a simple model for the behaviour of longterm investors on a stock market. It consists of three particles that represent the stock’s current price and the buyers’, respectively sellers’, opinion about the right trading price. As time evolves, both groups of traders update their opinions with respect to the current price. The speed of updating is controled by a parameter γ; the price p...

We introduce a powerful method for exploring the properties of the multidimensional free energy surfaces (FESs) of complex many-body systems by means of coarse-grained non-Markovian dynamics in the space defined by a few collective coordinates. A characteristic feature of these dynamics is the presence of a history-dependent potential term that, in time, fills the minima in the FES, allowing th...