A Condition for Weak Disorder for Directed Polymers in Random Environment - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Condition for Weak Disorder for Directed Polymers in Random Environment write by Matthias Birkner. This book was released on 2003. A Condition for Weak Disorder for Directed Polymers in Random Environment available in PDF, EPUB and Kindle.
Directed Polymers in Random Environments
Directed Polymers in Random Environments - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Directed Polymers in Random Environments write by Francis Comets. This book was released on 2017-01-26. Directed Polymers in Random Environments available in PDF, EPUB and Kindle. Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon. The main questionis: What does the path of a random walk look like if rewards and penalties are spatially randomly distributed?This model, which provides a simplified version of stretched elastic chains pinned by random impurities, has attracted much research activity, but it (and its relatives) still holds many secrets, especially in high dimensions. It has non-gaussian scaling limits and it belongs to the so-called KPZ universality class when the space is one-dimensional. Adopting a Gibbsian approach, using general and powerful tools from probability theory, the discrete model is studied in full generality. Presenting the state-of-the art from different perspectives, and written in the form of a first course on the subject, this monograph is aimed at researchers in probability or statistical physics, but is also accessible to masters and Ph.D. students.
Random Polymers
Random Polymers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Random Polymers write by Frank Hollander. This book was released on 2009-05-14. Random Polymers available in PDF, EPUB and Kindle. Polymer chains that interact with themselves and/or their environment display a range of physical and chemical phenomena. This text focuses on the mathematical description of some of these phenomena, offering a mathematical panorama of polymer chains.
Probability and Statistical Physics in Two and More Dimensions
Probability and Statistical Physics in Two and More Dimensions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probability and Statistical Physics in Two and More Dimensions write by Clay Mathematics Institute. Summer School. This book was released on 2012. Probability and Statistical Physics in Two and More Dimensions available in PDF, EPUB and Kindle. This volume is a collection of lecture notes for six of the ten courses given in Buzios, Brazil by prominent probabilists at the 2010 Clay Mathematics Institute Summer School, ``Probability and Statistical Physics in Two and More Dimensions'' and at the XIV Brazilian School of Probability. In the past ten to fifteen years, various areas of probability theory related to statistical physics, disordered systems and combinatorics have undergone intensive development. A number of these developments deal with two-dimensional random structures at their critical points, and provide new tools and ways of coping with at least some of the limitations of Conformal Field Theory that had been so successfully developed in the theoretical physics community to understand phase transitions of two-dimensional systems. Included in this selection are detailed accounts of all three foundational courses presented at the Clay school--Schramm-Loewner Evolution and other Conformally Invariant Objects, Noise Sensitivity and Percolation, Scaling Limits of Random Trees and Planar Maps--together with contributions on Fractal and Multifractal properties of SLE and Conformal Invariance of Lattice Models. Finally, the volume concludes with extended articles based on the courses on Random Polymers and Self-Avoiding Walks given at the Brazilian School of Probability during the final week of the school. Together, these notes provide a panoramic, state-of-the-art view of probability theory areas related to statistical physics, disordered systems and combinatorics. Like the lectures themselves, they are oriented towards advanced students and postdocs, but experts should also find much of interest.
