development projects in natural water resources like rivers and lakes, specially transferring water to use in agriculture, domestic and industrial sector without considering environmental values, causes irrecoverable and irreversible damage to ecosystem and future options. if we consider the future generation and species rights, those damages and costs can be very much than we take in. the abov...

Permutation relative entropy is proposed to quantify time irreversibility in our nonlinear dynamics analysis of electroencephalogram (EEG). Ordinal patterns in multi-dimension phase space of time series are symbolized, and the probabilistic divergences of all symmetric ordinal pairs are measured by relative entropy as time irreversibility. Analyzing multi-channel EEG from 18 healthy volunteers ...

This paper attempts to resolve the conflict between free will and determinism. The problem is approached by demonstrating that: (a) some well-established experimental observations indicate that irreversibility persists at the molecular level, (b) microscopic reversibility is not fully compatible with macroscopic irreversibility, (c) an overall consistency can be maintained if microscopic revers...

This paper develops a framework to link the expected utility analysis to real options models in order to capture the joint effects of risk aversion and irreversibility associated with real investments. It aims at modifying the theory of investment under uncertainty by incorporating decision makers’ risk preferences and allows explicitly analyzing the impacts of risk aversion, uncertainty and ir...

First, I will recount the substance of several important conversations I had with Ilya Prigogine over the years. There is no doubt in my mind that Professor Prigogine firmly believed in the underlying stochasticity of the universe. Second, I will summarize my curiosity about the principle of detailed balance. In my opinion, so far it has always been put in by hand. Third, I will advance my own ...

Experimental recordings of the collective activity of interacting spiking neurons exhibit 1 random behavior and memory effects, thus the stochastic process modeling the spiking activity 2 is expected to show some degree of time irreversibility. We use the thermodynamic formalism to 3 build a framework, in the context of spike train statistics, to quantify the degree of irreversibility 4 of any ...