On discrete loop signatures and Markov loops topology

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

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 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..

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

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

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