Miguel Abadi (IME-USP)
Lucas Affonso (IME-USP)
Massimo Campanino (Università di Bologna)
Sandro Gallo (UFSCAR)
Eugene Pechersky (Institute for Information Transmission Problems)
Walter Pedra (IFUSP)
Maria Eulália Vares (UFRJ)
09:00 - 09:50 - Miguel Abadi: Large Deviations for shortest path and cycles. (abstract)
10:00 - 10:30 - Coffee-Break
10:30 - 11:20 - Sandro Gallo: Recurrence times for ergodic stochastic chains. (abstract)
11:30 - 12:20 - Maria Eulália Vares: Critical scaling for an anisotropic percolation system. (abstract)
12:30 - 14:00 - Lunch
14:00 - 14:50 - Eugene Pechersky: Large emission in particle models. Application to a stochastic version of Hawking-Penrose model of the black hole. (abstract)
15:00 - 15:50 - Walter Pedra: Large Deviations for Weakly Interacting Fermions at Equilibrium -- An Approach to Macroscopic Behavior at Nanoscales. (abstract)
16:00 - 16:30 - Coffee-Break
16:30 - 17:20 - Lucas Affonso: Contours and Large Deviations on long-range ferromagnetic Ising models. (abstract)
17:30 - 18:20 - Massimo Campanino: On the entanglement entropy for the reduced ground state of the one-dimensional quantum Ising model with large transverse magnetic field. (abstract)
Title: The quantum Ising model with transverse field via stochastic representations
Abstract: We give an introduction to some statistical mechanics models and in particular to quantum Ising model with transverse field. We expose some results that can be obtained on the ground state of the quantum Ising model with transverse field by means of stochastic representations: estimate of correlation functions, cluster expansion, estimate of the entanglement, phase transition.
Organizer: Rodrigo Bissacot
Art of the webpage: Fabrício Bissacot
Supported by FAPESP Thematic Project Dynamics and geometry in low dimensions. Grant: 16/25053-8