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Statistics of quantum random walk on a one a one-dimensional lattice by Sourabh Lahiri

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Topics include developments based on breakthroughs in the mathematical understanding of phenomen. About This Item We aim to show you accurate product information. Manufacturers, suppliers and others provide what you see here, and we have not verified it. Faculty, postdocs and students from other scientific institutions are also involved in the networks and activities such as summer and winter schools of this PIRE project.

The project concerns random spatial processes, including disordered systems such as spin glasses and random walks with traps and in random environments, in which macroscopic phenomena are naturally expressed in terms of paths of microscopic events that percolate through space or space-time. Scaling concepts and methods play an important role in the analysis of such processes and in the nature of their phase transitions and critical behavior. The PI, co-PIs and key international collaborators have been prime participants in some of the major progress in recent years on percolation and its scaling limits, as well as on spin glasses and disordered random walks.

Among the issues addressed in this project are analyses of the percolation signature of the spin glass transition in realistic i. These and related challenging problems are ripe for a collaborative attack combining the diverse expertise of the participants from the U. Moreover, the new techniques being developed in this project for percolative and disordered systems can be applied in a variety of fields, including communication, materials science, neural science, theoretical computer science and petroleum engineering.

This project focuses on training U. PIRE postdoctoral and predoctoral fellows are expected to spend at least one semester abroad with collaborative joint mentoring by one of the international collaborators together with a Courant faculty member. Other students and postdocs will be encouraged to collaborate internationally via shorter visits and by participating in seasonal schools.

A major goal of this project is to create an institutional basis for a self-sustaining model of enhanced collaboration at faculty, postdoctoral and student levels between the U. Contacts are being made for support from foundations and industry to turn the experience developed from this PIRE project into a self-sustaining model for international collaboration in education and research. Some full text articles may not yet be available without a charge during the embargo administrative interval.

Some links on this page may take you to non-federal websites. Their policies may differ from this site. Auffinger, A. Alberts, T; Sheffield, S.. Damron, M. Ben Arous, G. Campanino, M. Pure and Applied Math. Alberts, T. Arguin, L. Peled, R.. Duplantier, B. Corwin, I. Beffara, V. Chatterjee, S. Lawler, G. Duminil-Copin, H.

Topics in Percolative and Disordered Systems | SpringerLink

Perkins, W. Amir, G. Corwin, I.. Angel, O. LaGatta, T.. Dinur, I.