On discrete loop signatures and Markov loops topology

4.1. Preliminaries on diffeologies and Fr¨ olicher spaces. The objects of the category of -finite or infinite- dimensional smooth manifolds is made of topological spaces M equipped

Given a compact Lie group G with Lie algebra g, a g-valued 1-form A in- ducing a flat connection, a formula can be given for the distribution of the loop holonomies.. See [5]

We compute the variation of the loop measure induced by an infinitesimal variation of the generator affecting the killing rates or the jumping rates..

Therefore, the problem of generating a code with as few loops as possible, and in which each statement is in a parallel loop when possible, is a typed fusion problem, with two

The organization of the human dystrophin gene into loop domains has been studied using two different experimental approaches: excision of DNA loops mediated by nuclear

After a description of some general properties of the coalescent process, we address several aspects of the loop clusters defined by a simple random walk killed at a constant rate

We prove that the homology groups of the free loop stack of an oriented stack are equipped with a canonical loop product and coproduct, which makes it into a Frobenius algebra..

Results show that the methods previously studied and developed enable to model a consistent energy landscape for this flexible loop, identifying both conformations: the one adopted