Matches in SemOpenAlex for { <https://semopenalex.org/work/W2611113899> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W2611113899 abstract "The pinning model describes the behavior of a Markov chain in interaction with a distinguished state. This interaction can attract or repel the Markov chain path with a force tuned by two parameters, h and β. If β = 0 we obtain the homogeneous pinning model, which is completely solvable. The disordered pinning model, i.e. when β > 0, is most challenging and mathematically interesting. In this case the interaction depends on an external source of randomness, independent of the Markov chain, called disorder. The interaction is realized by perturbing the original Markov chain law via a Gibbs measure, which defines the Pinning Model. Our main aim is to understand the structure of a typical Markov chain path under this new probability measure. The first research topic of this thesis is the pinning model in which the disorder is heavy-tailed and the return times of the Markov chain have a sub-exponential distribution. In our second result we consider a pinning model with a light-tailed disorder and the return times of the Markov chain with a polynomial tail distribution, with exponent α > 0. It is possible to show that there exists a critical point, h(β). Our goal is to understand the behavior of the critical point when β -> 0. The answer depends on the value of α and in the literature there are precise results only for the case α 1. We show that for α ∈ (1/2, 1) the behavior of the pinning model in the weak disorder limit is universal and the critical point, suitably rescaled, converges to the related quantity of a continuum model" @default.
- W2611113899 created "2017-05-12" @default.
- W2611113899 creator A5041897901 @default.
- W2611113899 date "2015-09-18" @default.
- W2611113899 modified "2023-10-14" @default.
- W2611113899 title "Localization and universality phenomena for random polymers" @default.
- W2611113899 hasPublicationYear "2015" @default.
- W2611113899 type Work @default.
- W2611113899 sameAs 2611113899 @default.
- W2611113899 citedByCount "0" @default.
- W2611113899 crossrefType "dissertation" @default.
- W2611113899 hasAuthorship W2611113899A5041897901 @default.
- W2611113899 hasConcept C105795698 @default.
- W2611113899 hasConcept C121332964 @default.
- W2611113899 hasConcept C121864883 @default.
- W2611113899 hasConcept C125112378 @default.
- W2611113899 hasConcept C130359071 @default.
- W2611113899 hasConcept C138885662 @default.
- W2611113899 hasConcept C158444337 @default.
- W2611113899 hasConcept C163836022 @default.
- W2611113899 hasConcept C183992945 @default.
- W2611113899 hasConcept C26873012 @default.
- W2611113899 hasConcept C2780388253 @default.
- W2611113899 hasConcept C33923547 @default.
- W2611113899 hasConcept C41895202 @default.
- W2611113899 hasConcept C54907487 @default.
- W2611113899 hasConcept C97074811 @default.
- W2611113899 hasConcept C98763669 @default.
- W2611113899 hasConceptScore W2611113899C105795698 @default.
- W2611113899 hasConceptScore W2611113899C121332964 @default.
- W2611113899 hasConceptScore W2611113899C121864883 @default.
- W2611113899 hasConceptScore W2611113899C125112378 @default.
- W2611113899 hasConceptScore W2611113899C130359071 @default.
- W2611113899 hasConceptScore W2611113899C138885662 @default.
- W2611113899 hasConceptScore W2611113899C158444337 @default.
- W2611113899 hasConceptScore W2611113899C163836022 @default.
- W2611113899 hasConceptScore W2611113899C183992945 @default.
- W2611113899 hasConceptScore W2611113899C26873012 @default.
- W2611113899 hasConceptScore W2611113899C2780388253 @default.
- W2611113899 hasConceptScore W2611113899C33923547 @default.
- W2611113899 hasConceptScore W2611113899C41895202 @default.
- W2611113899 hasConceptScore W2611113899C54907487 @default.
- W2611113899 hasConceptScore W2611113899C97074811 @default.
- W2611113899 hasConceptScore W2611113899C98763669 @default.
- W2611113899 hasLocation W26111138991 @default.
- W2611113899 hasOpenAccess W2611113899 @default.
- W2611113899 hasPrimaryLocation W26111138991 @default.
- W2611113899 hasRelatedWork W1601184833 @default.
- W2611113899 hasRelatedWork W1911678025 @default.
- W2611113899 hasRelatedWork W1977752377 @default.
- W2611113899 hasRelatedWork W1988738465 @default.
- W2611113899 hasRelatedWork W1991306266 @default.
- W2611113899 hasRelatedWork W1999151895 @default.
- W2611113899 hasRelatedWork W2017485163 @default.
- W2611113899 hasRelatedWork W2031554016 @default.
- W2611113899 hasRelatedWork W2034696715 @default.
- W2611113899 hasRelatedWork W2048822029 @default.
- W2611113899 hasRelatedWork W2066429801 @default.
- W2611113899 hasRelatedWork W2077692984 @default.
- W2611113899 hasRelatedWork W2158441787 @default.
- W2611113899 hasRelatedWork W2963144854 @default.
- W2611113899 hasRelatedWork W3100771822 @default.
- W2611113899 hasRelatedWork W3100885511 @default.
- W2611113899 hasRelatedWork W3104187940 @default.
- W2611113899 hasRelatedWork W3104212951 @default.
- W2611113899 hasRelatedWork W66817857 @default.
- W2611113899 hasRelatedWork W2186825102 @default.
- W2611113899 isParatext "false" @default.
- W2611113899 isRetracted "false" @default.
- W2611113899 magId "2611113899" @default.
- W2611113899 workType "dissertation" @default.