• find that the Shannon entropy is not a decreasing function of developmental systems biology, biomathematics pseudo-time but instead it increases towards the time point of commitment before decreasing again. (lu.se)
  • Single cells in these populations exhibit different com- stem cell differentiation, Shannon information binations of regulator activity that suggest the presence of multiple theory, entropy configurations of a potential differentiation network as a result of multiple entry points into the committed state. (lu.se)
  • Shannon entropy, where the latter measures the amount of randomness in a probability distribution [2] . (lu.se)
  • equivalent to the rate of increase of α->0 Renyi entropy of a trajectory in trajectory-space. (wikipedia.org)
  • Entropy may also refer to: Entropy (classical thermodynamics), thermodynamic entropy in macroscopic terms, with less emphasis on the statistical explanation Entropic force. (wikipedia.org)
  • http://dx.doi.org/10.1098/rsfs.2018.0040 an analogy to the concept of entropy in statistical mechanics. (lu.se)
  • Entropy in statistical mechanics is a measure of disorder in oy the macrostate of a system. (lu.se)
  • In this context, in the undifferentiated state, the entropy would be large since fewer constraints exist on the gene expression programmes of the cell. (lu.se)
  • Further, the universal parts appearing in the large $k$ limits of the entanglement entropy and the minimum Rényi entropy for torus links $T_{p,pn}$ can be interpreted in terms of the volume of the moduli space of flat connections on certain Riemann surfaces. (arxiv.org)
  • First, I present results that give a single-shot interpretation to the Area Law of entanglement entropy in many-body physics in terms of compression of quantum information on the boundary of a region of space. (mpg.de)
  • Topological entropy in physics Volume entropy, a Riemannian invariant measuring the exponential rate of volume growth of a Riemannian metric Maximum entropy (disambiguation) Graph entropy, a measure of the information rate achievable by communicating symbols over a channel in which certain pairs of values may be confused. (wikipedia.org)
  • More precisely, it is equal to the Rényi entropy of certain states prepared in topological $2d$ Yang-Mills theory with SU(2) gauge group. (arxiv.org)
  • Entropy, in thermodynamics, is a property originally introduced to explain the part of the internal energy of a thermodynamic system that is unavailable as a source for useful work. (wikipedia.org)
  • To estimate correlation, entropies can also be calculated by employing the maximum information spanning tree algorithm [1] (MIST), with the pdb2entropy program, developed by Fogolari et al. (lu.se)
  • Then I show that the von Neumann entropy governs single-shot transitions whenever one has access to arbitrary auxiliary systems, which have to remain invariant in a state-transition ("catalysts"), as well as a decohering environment. (mpg.de)
  • This guide will show how to estimates various entropies using different programs. (lu.se)
  • I discuss new results that give single-shot interpretations to the von Neumann entropy under appropriate conditions. (mpg.de)
  • Unfortunately, our results indicate that the entropies depend very strongly on the windowing size (100 kJ/mol difference going from 2 to 10 ns). (lu.se)
  • In quanum information theory, the von Neumann entropy usually arises in i.i.d settings, while single-shot settings are commonly characterized by (smoothed) Renyi entropies. (mpg.de)